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Teaching the Photo Essay

A picture is worth 1,000 words.

photo essay about mathematics

Your students, if they’re anything like mine, love to communicate through images—photos on Instagram , GIFs shared in a text, photo stories on Snapchat. And yet, so much of our conversation in school revolves around words. Understanding text is critical to students’ success now and in the future. But do we also help students identify, read and understand images in order to become literate in the visual language that is all around us? The photo essay can be a great middle or high school assignment that will have strong appeal and grow your students’ writing skills.

What Is a Photo Essay?

For those who aren’t familiar with the term “photo essay,” have no fear. A photo essay, in its simplest form, is a series of pictures that evokes an emotion, presents an idea or helps tell a story. You’ve been exposed to photo essays for your entire life—possibly without even knowing it. For example, you may have seen Dorothea Lange’s Migrant Mother:

teachingphotoessay

An iconic image of the Great Depression, this picture, along with Lange’s other gripping photos, helped Americans better understand the effects of poverty in California as well as across the nation. Migrant Mother is one of countless photographs that helped persuade, influence or engage viewers in ways that text alone could not.

Photo essays can feature text through articles and descriptions, or they can stand alone with simple captions to give context. The versatility of photo essays has helped the medium become a part of our culture for centuries, from the American Civil War to modern environmental disasters like the 2010 earthquake in Haiti. This versatility is also what makes the photo essay a great educational asset in classrooms today; teachers can use them in any content area. Math students can use them to show a geometric concept in real life. Science students can document a chemistry process at home. Auto students can photograph the technique—and joys and frustrations—of learning a new procedure.

So, where does a teacher begin? Read further for tips and ideas for making photo essays a part of your teaching toolbox.

Start With Photos

Introducing photo essays as a means of changing lives and changing society can hook student interest in the medium. Begin by simply showing pictures and letting students discuss their reactions. Consider this famous photo of the field at Antietam during the Civil War. Share some of the photos from this collection from CNN of 25 of the Most Iconic Photograph s or this list of 50 Influential Photographs That Changed Our World .

Each of these photographs stirs emotion and sends our minds searching for answers. As a warm-up assignment or series of assignments, have students choose (or assign randomly) a photograph to write about. What’s the story? Why did this happen? Who was involved?

DIY Photographs

Before giving a formal photo essay assignment, give students an opportunity to practice and receive feedback. Consider presenting students with several open-ended, ungraded challenges like “For class tomorrow, take a photo that depicts ‘Struggle.’” Other possible photo topics: chaos, frustration, friendship, school. Have students email you their photo homework and share it as a slideshow. Talk about the images. Do they convey the theme?

You can give examples or suggestions; however, giving too many examples and requirements can narrow students’ creativity. The purpose of this trial run is to generate conversation and introduce students to thinking like photographers, so don’t worry if the photos aren’t what you had in mind; it’s about getting feedback on what the student had in mind.

Technique 101

Even though the goal of a photo essay is to influence and create discussion, there is still benefit in giving students a crash course on simple photography concepts. Don’t feel like you have to teach a master-level course on dark-room development. Even a simple overview on the “Rule of Thirds” and the importance of perspective can be enough to help students create intentional, visually stirring photographs.

You can teach these ideas directly or have students do the work by researching on their own. They have most likely seen hundreds of movies, advertisements and photos, so these lessons are simply labeling what they’ve already experienced. Having some knowledge of composition will not only help students improve their visual literacy, it will also help empower them to take photos of their own.

Choose Your Purpose

Are students telling their own stories of their neighborhoods or their families? Are they addressing a social issue or making an argument through their images and text? A photo essay could be a great assignment in science to document a process or focus on nature.

If you are just getting started, start out small: Have students create a short photo essay (two to five images) to present a topic, process or idea you have been focusing on in class. Here’s a Photo Essay Planning Guide to share with your students.

Photo Essay Planning Guide Image

With pictures becoming a dominant medium in our image-filled world, it’s not a question of if we should give students practice and feedback with visual literacy, it’s a question of how . Photo essays are a simple, engaging way to start. So, what’s your plan?

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photo essay about mathematics

How to Create a Photo Essay in 9 Steps (with Examples)

Photo Editing & Creativity , Tutorials

Great blue heron standing in shallow water with a reflection and vegetation in the background.

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What is a photo essay?

  • Photo essays vs photo stories
  • How photo essays help you
  • 9 Steps to create photo essays

How to share your photo essays

Read Time: 11 minutes

Gather up a handful of images that seem to go together, and voila! It’s a photo essay, right? Well… no. Though, this is a common misconception.

In reality, a photo essay is much more thoughtful and structured than that. When you take the time to craft one, you’re using skills from all facets of our craft – from composition to curation.

In this guide, you’ll learn what makes a photo essay an amazing project that stretches your skills. You’ll also learn exactly how to make one step by step.

  • Photo essay vs photo story

A photo essay is a collection of images based around a theme, a topic, a creative approach, or an exploration of an idea. Photo essays balance visual variety with a cohesive style and concept.

What’s the difference between a photo essay and a photo story?

The terms photo essay and photo story are often used interchangeably. Even the dictionary definition of “photo essay” includes using images to convey either a theme or a story.

But in my experience, a photo essay and a photo story are two different things. As you delve into the field of visual storytelling, distinguishing between the two helps you to take a purposeful approach to what you’re making .

The differences ultimately lie in the distinctions between theme, topic and story.

Themes are big-picture concepts. Example: Wildness

Topics are more specific than themes, but still overarching. Example : Wild bears of Yellowstone National Park

Stories are specific instances or experiences that happen within, or provide an example for, a topic or theme. Example: A certain wild bear became habituated to tourists and was relocated to maintain its wildness

Unlike a theme or topic, a story has particular elements that make it a story. They include leading characters, a setting, a narrative arc, conflict, and (usually) resolution.

With that in mind, we can distingush between a photo essay and a photo story.

Themes and Topics vs Stories

A photo essay revolves around a topic, theme, idea, or concept. It visually explores a big-picture something .

This allows a good deal of artistic leeway where a photographer can express their vision, philosophies, opinions, or artistic expression as they create their images.

A photo story  is a portfolio of images that illustrate – you guessed it – a story.

Because of this, there are distinct types of images that a photo story uses that add to the understanding, insight, clarity and meaning to the story for viewers. While they can certainly be artistically crafted and visually stunning, photo stories document something happening, and rely on visual variety for capturing the full experience.

A photo essay doesn’t need to have the same level of structured variety that a photo story requires. It can have images that overlap or are similar, as they each explore various aspects of a theme.

An urban coyote walks across a road near an apartment building

Photo essays can be about any topic. If you live in a city, consider using your nature photography to make an essay about the wildlife that lives in your neighborhood . 

The role of text with photos

A photo story typically runs alongside text that narrates the story. We’re a visual species, and the images help us feel like we are there, experiencing what’s happening. So, the images add significant power to the text, but they’re often a partner to it.

This isn’t always the case, of course. Sometimes photo stories don’t need or use text. It’s like reading a graphic novel that doesn’t use text. Moving through the different images that build on each other ultimately unveils the narrative.

Photo essays don’t need to rely on text to illuminate the images’ theme or topic. The photographer may use captions (or even a text essay), or they may let the images speak for themselves.

Definitions are helpful guidelines (not strict rules)

Some people categorize photo essays as either narrative or thematic. That’s essentially just calling photo stories “narrative photo essays” and photo essays “thematic photo essays.”

But, a story is a defined thing, and any writer/editor will tell you themes and topics are not the same as stories. And we use the word “story” in our daily lives as it’s defined. So, it makes far more sense to name the difference between a photo essay and a photo story, and bask in the same clarity writers enjoy .

Photo stories illustrate a particular experience, event, narrative, something that happened or is happening.

Photo essays explore an idea, concept, topic, theme, creative approach, big-picture something .

Both photo essays and photo stories are immensely powerful visual tools. And yes, the differences between them can certainly be blurred, as is always the case with art.

Simply use this distinction as a general guideline, providing extra clarity around what you’re making and why you’re making it.

To dig into specific types of images used to create powerful photo stories, check out this training: 6 Must-Have Shots for a Photo Story. 

Meanwhile, let’s dig deeper into photo essays.

A sea nettle jellyfish floats alone on a white surface

Photo essays are a chance to try new styles or techniques that stretch your skills and creativity. This image was part of an essay exploring simplicity and shape, and helped me learn new skills in black and white post-processing.

How photo essays improve your photography

Creating photo essays is an amazing antidote if you’ve ever felt a lack of direction or purpose in your photography. Photo essays help build your photographic skills in at least 3 important ways.

1. You become more strategic in creating a body of work

It’s easy to get stuck in a rut of photographing whatever pops up in front of you. And when you do, you end up with a collection of stand-alone shots.

These singles may work fine as a print, a quick Instagram post, or an addition to your gallery of shots on your website. But amassing a bunch of one-off shots limits your opportunities as a photographer for everything from exhibits to getting your work published.

Building photo essays pushes you to think strategically about what you photograph, why, and how. You’re working toward a particular deliverable – a cohesive visual essay – with the images you create.

This elevates your skills in crafting your photo essay, and in how you curate the rest of your work, from galleries on your website to selecting images to sell as prints .

2. You become more purposeful in your composition skills

Composition is so much more than just following the rule of thirds, golden spirals, or thinking about the angle of light in a shot.

Composition is also about thinking ahead in what you’re trying to accomplish with a photograph – from what you’re saying through it to its emotional impact on a viewer – and where it fits within a larger body of work.

Photo essays push you to think critically about each shot – from coming up with fresh compositions for familiar subjects, to devising surprising compositions to fit within a collection, to creating compositions that expand on what’s already in a photo essay.

You’re pushed beyond creating a single pleasing frame, which leads you to shoot more thoughtfully and proactively than ever.

(Here’s a podcast episode on switching from reactive shooting to proactive shooting .)

3. You develop strong editing and curation skills

Selecting which images stay, and which get left behind is one of the hardest jobs on a photographer’s to-do list. Mostly, it’s because of emotional attachment.

You might think it’s an amazing shot because you know the effort that went into capturing it. Or perhaps when you look at it, you get a twinge of the joy or exhilaration you felt the moment you captured it. There’s also the second-guessing that goes into which of two similar images is the best – which will people like more? So you’re tempted to just show both.

Ultimately, great photographers appear all the more skilled because they only show their best work. That in and of itself is a skill they’ve developed through years of ruthlessly editing their own work.

Because the most powerful photo essays only show a handful of extraordinary images, you’re bound to develop the very same critical skill (and look all the more talented because of it).

Photo essays are also a great stepping stone to creating photo stories. If you’re interested in moving beyond stand-alone shots and building stories, shooting photo essays will get your creative brain limbered up and ready for the adventure of photo stories.

An american dipper looks into the water of a stream on a cold morning

A photo essay exploring the natural history of a favorite species is an exciting opportunity for an in-depth study. For me, that was a photo essay on emotive images of the American dipper (Cinclus mexicanus) as it hunts in streams. 

9 Simple steps to create your photo essays

1. clarify your theme.

Choose a theme, topic, or concept you want to explore. Spend some time getting crystal clear on what you want to focus on. It helps to write out a few sentences, or even a few paragraphs noting:

  • What you want the essay to be about
  • What kinds of images you want to create as part of it
  • How you’ll photograph the images
  • The style, techniques, or gear you might use to create your images
  • What “success” looks like when you’re done with your photo essay

You don’t have to stick to what you write down, of course. It can change during the image creation process. But fleshing your idea out on paper goes a long way in clarifying your photo essay theme and how you’ll go about creating it.

2. Create your images

Grab your camera and head outside!

As you’re photographing your essay, allow yourself some freedom to experiment. Try unusual compositions or techniques that are new to you.

Stretch your style a little, or “try on” the style of other photographers you admire who have photographed similar subjects.

Photo essays are wonderful opportunities to push yourself outside of your comfort zone and grow as a photographer .

Remember that a photo essay is a visually cohesive collection of images that make sense together. So, while you might stretch yourself into new terrain as you shoot, try to keep that approach, style, or strategy consistent.

Don’t be afraid to create lots of images. It’s great to have lots to choose from in the editing process, which comes up next.

3. Pull together your wide edit

Once you’ve created your images, pull together all the images that might make the cut. This could be as many as 40-60 images. Include anything you want to consider for the final essay in the wide edit.

From here, start weeding out images that:

  • are weaker in composition or subject matter
  • stand out like a sore thumb from the rest of the collection
  • Are similar to other stronger images in the collection

It’s helpful to review the images at thumbnail size. You make more instinctive decisions and can more easily see the body of work as a whole. If an image is strong even at thumbnail size to stand out from similar frames while also partnering well with other images in the collection, that’s a good sign it’s strong enough for the essay.

4. Post-process your images for a cohesive look

Now it’s time to post-process the images. Use whatever editing software you’re comfortable with to polish your images.

Again, a photo essay has a cohesive visual look. If you use presets, filters, or other tools, use them across all the images.

5. Finalize your selection

It’s time to make the tough decisions. Select only the strongest for your photo essay from your group of images.

Each image should be strong enough to stand on its own and make sense as part of the whole group.

Many photo essays range from 8-12 images. But of course, it varies based on the essay. The number of images you have in your final photo essay is up to you.

Remember, less is more. A photo essay is most powerful when each image deserves to be included.

6. Put your images in a purposeful order

Create a visual flow with your images. Decide which image is first, and build from there. Use compositions, colors, and subject matter to decide which image goes next, then next, then next in the order.

Think of it like music: notes are arranged in a way that builds energy, or slows it down, surprise listeners with a new refrain, or drop into a familiar chorus. How the notes are ordered creates emotional arcs for listeners.

How you order your images is similar.

Think of the experience a viewer will have as they look at one image, then the next, and the next. Order your images so they create the experience you want your audience to have.

7. Get feedback

The best photographers make space for feedback, even when it’s tough to hear. Your work benefits from not just hearing feedback, but listening to it and applying what you learn from it.

Show your photo essay to people who have different sensibilities or tastes. Friends, family members, fellow photographers – anyone you trust to give you honest feedback.

Watch their reactions and hear what they say about what they’re seeing. Use their feedback to guide you in the next step.

8. Refine, revise, and finalize

Let your photo essay marinate for a little while. Take a day or two away from it. Then use your freshened eyes and the feedback you received from the previous step to refine your essay.

Swap out any selects you might want to change and reorder the images if needed.

9. Add captions

Even if you don’t plan on displaying captions with your images, captioning your images is a great practice to get into. It gives context, story, and important information to each image. And, more than likely, you will want to use these captions at some point when you share your photo essay, which we dive into later in this article.

Add captions to the image files using Lightroom, Bridge, or other software programs.

Create a document, such as a Google or Word doc, with captions for each image.

In your captions, share a bit about the story behind the image, or the creation process. Add whatever makes sense to share that provides a greater understanding of the image and its purpose.

Two rocks sit near each other on a wind-blown beach with long lines of texture in the sand

Photo essays allow you to explore deliberate style choices, such as a focus on shapes, patterns, textures, and lines. Since each photo is part of a larger essay, it encourages you to be bold with choices you might not otherwise make. 

5 Examples of amazing nature photo essays

1. “how the water shapes us” from the nature conservancy.

Screenshot of the landing page of photo essay how the water shapes us from nature conservancy

This gorgeous essay, crafted with the work of multiple photographers, explores the people and places within the Mississippi River basin. Through the images, we gain a sense of how the water influences life from the headwater all the way to the Gulf of Mexico. Notice how each photographer is tasked with the same theme, yet approaches it with their own distinct style and vision. It is a wonderful example of the sheer level of visual variety you can have while maintaining a consistent style or theme.

View it here

2. “A Cyclist on the English Landscape” from New York Times’ The World Through A Lens series

Screenshot of the landing page of photo essay a cyclist on the english landscape from new york times

This photo essay is a series of self-portraits by travel photographer Roff Smith while “stuck” at home during the pandemic. As he peddled the roads making portraits, the project evolved into a “celebration of traveling at home”. It’s a great example of how visually consistent you can be inside a theme while making each image completely unique.

3. “Vermont, Dressed In Snow” from New York Times’ The World Through A Lens series

Screenshot of the landing page of photo essay vermont, dressed in snow from new york times

This essay by aerial photographer Caleb Kenna uses a very common photo essay theme: snow. Because all images are aerial photographs, there’s a consistency to them. Yet, the compositions are utterly unique from one another. It’s a great example of keeping viewers surprised as they move from one image to the next while still maintaining a clear focus on the theme.

4. “Starling-Studded Skies” from bioGraphic Magazine

Screenshot of the landing page of photo essay starling-studded-skies from biographic magazine

This beautiful essay is by Kathryn Cooper, a physicist trained in bioinformatics, and a talented photographer. She used a 19th century photographic technique, chronophotography, to create images that give us a look at the art and science of starling murmurations. She states: “I’m interested in the transient moments when chaos briefly changes to order, and thousands of individual bodies appear to move as one.” This essay is a great example of deep exploration of a concept using a specific photographic technique.

View it here   (Note: must be viewed on desktop)

5. “These Scrappy Photos Capture the Action-Packed World Beneath a Bird Feeder” from Audubon Magazine

Screenshot of the landing page of photo essay by carla rhodes from audubon online

This photo essay from conservation photographer Carla Rhodes explores the wildlife that takes advantage of the bounty of food waiting under bird feeders . Using remote camera photography , Rhodes gives viewers a unique ground-level perspective and captures moments that make us feel like we’re in conversation with friends in the Hundred Acre Woods. This essay is a great example of how perspective, personality, and chance can all come into play as you explore both an idea and a technique.

25 Ideas for creative photo essays you can make

The possibilities for photo essays are truly endless – from the concepts you explore to the techniques you use and styles you apply.

Choose an idea, hone your unique perspective on it, then start applying the 9 simple steps from above. 

  • The life of a plant or animal (your favorite species, a species living in your yard, etc)
  • The many shapes of a single species (a tree species, a bird species, etc)
  • How a place changes over time
  • The various moods of a place
  • A conservation issue you care about
  • Math in nature
  • Urban nature
  • Seasonal changes
  • Your yard as a space for nature
  • Shifting climate and its impacts
  • Human impacts on environments
  • Elements: Water, wind, fire, earth
  • Day in the life (of a person, a place, a stream, a tree…)
  • Outdoor recreation (birding, kayaking, hiking, naturalist journaling…)
  • Wildlife rehabilitation
  • Lunar cycles
  • Sunlight and shadows
  • Your local watershed
  • Coexistence

A pacific wren sings from a branch in a sun dappled forest

As you zero in on a photo essay theme, consider two things: what most excites you about an idea, and what about it pushes you out of your comfort zone. The heady mix of joy and challenge will ensure you stick with it. 

Your photo essay is ready for the world! Decide how you’d like to make an impact with your work. You might use one or several of the options below.

1. Share it on your website

Create a gallery or a scrollytelling page on your website. This is a great way to drive traffic to your website where people can peruse your photo essay and the rest of the photography you have.

Putting it on your website and optimizing your images for SEO helps you build organic traffic and potentially be discovered by a broader audience, including photo editors.

2. Create a scrollytelling web page

If you enjoy the experience of immersive visual experiences, consider making one using your essay. And no, you don’t have to be a whiz at code to make it happen.

Shorthand helps you build web pages with scrollytelling techniques that make a big impression on viewers. Their free plan allows you to publish 3 essays or stories.

3. Create a Medium post

If you don’t have a website and want to keep things simple, a post on Medium is a great option.

Though it’s known for being a platform for bloggers, it’s also possible to add images to a post for a simple scroll.

And, because readers can discover and share posts, it’s a good place for your photos to get the attention of people who might not otherwise come across it.

4. Share it on Instagram

Instagram has changed a lot over the last couple of years, but it’s still a place for photographers to share their work thoughtfully.

There are at least 3 great ways to share your photo essay on the platform.

– Create a single post for each image. Add a caption. Publish one post per day until the full essay is on your feed. Share each post via Instagram Stories to bring more attention and interaction to your photo essay.

– Create a carousel post. You can add up 10 photos to a carousel post, so you may need to create two of them for your full photo essay. Or you might create a series of carousel posts using 3-4 images in each.

– Create a Reel featuring your images as a video.  The algorithm heavily favors reels, so turning your photo essay into a video experience can get it out to a larger audience.

I ran a “create a reel” challenge in my membership community. One member created a reel with her still images around a serious conservation issue. It gathered a ton of attention and landed her opportunities to share her message through YouTube and podcast interviews and publishing opportunities. Watch it here.

5. Exhibit it locally

Reach out to local galleries, cafes, pubs, or even the public library to see if they’re interested in hanging your photo essay for display. Many local businesses and organizations happily support the work of local artists.

6. Pitch your photo essay to publications

One of the best ways to reach an audience with your work is to get it published. Find publications that are a great fit for the theme and style of your photo essay, then pitch your essay for consideration. You gain a fantastic opportunity to share your work widely and can earn a paycheck at the same time.

Remember that if you want to get your photo essay published, you may want to hold back from sharing it publicly before you pitch it to publications.

photo essay about mathematics

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The complete guide to making a photo essay - conservationvisuals.com.

23 Photo Essay Ideas and Examples (to Get Your Creative Juices Flowing!)

A Post By: Kevin Landwer-Johan

Ideas for compelling photo essays

Looking for inspiration? Our 23 photo essay ideas will take your photography skills to new heights!

A single, strong photograph can convey a lot of information about its subject – but sometimes we have topics that require more than one image to do the job. That’s when it’s time to make a photo essay: a collection of pictures that together tell the bigger story around a chosen theme.

In the following sections, we’ll explore various photo essay ideas and examples that cover a wide range of subjects and purposes. From capturing the growth of your children to documenting local festivals, each idea offers an exciting opportunity to tell a story through your lens, whether you’re a hobbyist or a veteran professional.

So grab your camera, unleash your creativity, and let’s delve into the wonderful world of photo essay examples!

What is a photo essay?

Simply put, a photo essay is a series of carefully selected images woven together to tell a story or convey a message. Think of it as a visual narrative that designed to capture attention and spark emotions.

Karen woman portrait

Now, these images can revolve around a broad theme or focus on a specific storyline. For instance, you might create a photo essay celebrating the joy of companionship by capturing 10 heartwarming pictures of people sharing genuine laughter. On the other hand, you could have a photo essay delving into the everyday lives of fishermen in Wales by following a single fisherman’s journey for a day or even a week.

It’s important to note that photo essays don’t necessarily have to stick to absolute truth. While some documentary photographers prefer to keep it authentic, others may employ techniques like manipulation or staging to create a more artistic impact. So there is room for creativity and interpretation.

Why you should create a photo essay

Photo essays have a way of expressing ideas and stories that words sometimes struggle to capture. They offer a visual narrative that can be incredibly powerful and impactful.

Firstly, photo essays are perfect when you have an idea or a point you want to convey, but you find yourself at a loss for words. Sometimes, emotions and concepts are better conveyed through images rather than paragraphs. So if you’re struggling to articulate a message, you can let your photos do the talking for you.

Second, if you’re interested in subjects that are highly visual, like the mesmerizing forms of architecture within a single city, photo essays are the way to go. Trying to describe the intricate details of a building or the play of light and shadows with words alone can be challenging. But through a series of captivating images, you can immerse your audience in the architecture.

And finally, if you’re aiming to evoke emotions or make a powerful statement, photo essays are outstanding. Images have an incredible ability to shock, inspire, and move people in ways that words often struggle to achieve. So if you want to raise awareness about an environmental issue or ignite a sense of empathy, a compelling series of photographs can have a profound impact.

Photo essay examples and ideas

Looking to create a photo essay but don’t know where to start? Here are some handy essay ideas and examples for inspiration!

1. A day in the life

Your first photo essay idea is simple: Track a life over the course of one day. You might make an essay about someone else’s life. Or the life of a location, such as the sidewalk outside your house. 

The subject matter you choose is up to you. But start in the morning and create a series of images showing your subject over the course of a typical day.

(Alternatively, you can document your subject on a special day, like a birthday, a wedding, or some other celebration.)

woman with a backpack getting on a train photo essay ideas

2. Capture hands

Portraits focus on a subject’s face – but why not mix it up and make a photo essay that focuses on your subject’s hands?

(You can also focus on a collection of different people’s hands.)

Hands can tell you a lot about a person. And showing them in context is a great way to narrate a story.

people on a train

3. Follow a sports team for a full season

Sports are all about emotions – both from the passionate players and the dedicated fans. While capturing the intensity of a single game can be exhilarating, imagine the power of telling the complete story of a team throughout an entire season.

For the best results, you’ll need to invest substantial time in sports photography. Choose a team that resonates with you and ensure their games are within a drivable distance. By photographing their highs and lows, celebrations and challenges, you’ll create a compelling photo essay that traces their journey from the first game to the last.

4. A child and their parent

Photographs that catch the interaction between parents and children are special. A parent-child connection is strong and unique, so making powerful images isn’t challenging. You just need to be ready to capture the special moments as they happen. 

You might concentrate on a parent teaching their child. Or the pair playing sports. Or working on a special project.

Use your imagination, and you’ll have a great time with this theme.

5. Tell a local artist’s story 

I’ve always enjoyed photographing artists as they work; studios have a creative vibe, so the energy is already there. Bring your camera into this environment and try to tell the artist’s story!

An artist’s studio offers plenty of opportunities for wonderful photo essays. Think about the most fascinating aspects of the artist’s process. What do they do that makes their art special? Aim to show this in your photos.

Many people appreciate fine art, but they’re often not aware of what happens behind the scenes. So documenting an artist can produce fascinating visual stories.

artist at work with copper

6. Show a tradesperson’s process

Do you have a plumber coming over to fix your kitchen sink? Is a builder making you a new deck?

Take photos while they work! Tell them what you want to do before you start, and don’t forget to share your photos with them.

They’ll probably appreciate seeing what they do from another perspective. They may even want to use your photos on their company website.

hot iron in crucible

7. Photograph your kids as they grow

There’s something incredibly special about documenting the growth of our little ones. Kids grow up so quickly – before you know it, they’re moving out. Why not capture the beautiful moments along the way by creating a heartwarming photo essay that showcases their growth?

There are various approaches you can take, but one idea is to capture regular photos of your kids standing in front of a distinct point of reference, such as the refrigerator. Over a year or several years, you can gather these images and place them side by side to witness your childrens’ incredible transformations.

8. Cover a local community event

A school fundraiser, a tree-planting day at a park, or a parade; these are are all community events that make for good photo essay ideas.

Think like a photojournalist . What type of images would your editor want? Make sure to capture some wide-angle compositions , some medium shots, and some close-ups.

(Getting in close to show the details can often tell as much of a story as the wider pictures.)

9. Show fresh market life

Markets are great for photography because there’s always plenty of activity and lots of characters. Think of how you can best illustrate the flow of life at the market. What are the vendors doing that’s most interesting? What are the habits of the shoppers?

Look to capture the essence of the place. Try to portray the people who work and shop there.

woman at the fresh market

10. Shoot the same location over time

What location do you visit regularly? Is there a way you can make an interesting photo essay about it?

Consider what you find most attractive and ugly about the place. Look for aspects that change over time. 

Any outdoor location will look different throughout the day. Also think about the changes that occur from season to season. Create an essay that tells the story of the place.

11. Document a local festival

Festivals infuse cities and towns with vibrant energy and unique cultural experiences. Even if your own town doesn’t have notable festivals, chances are a neighboring town does. Explore the magic of these celebrations by documenting a local festival through your lens.

Immerse yourself in the festivities, arriving early and staying late. Capture the colorful displays and the people who make the festival come alive. If the festival spans multiple days, consider focusing on different areas each time you visit to create a diverse and comprehensive photo essay that truly reflects the essence of the event.

12. Photograph a garden through the seasons

It might be your own garden . It could be the neighbor’s. It could even be the garden at your local park.

Think about how the plants change during the course of a year. Capture photos of the most significant visual differences, then present them as a photo essay.

lotus flower

13. Show your local town or city

After spending several years in a particular area, you likely possess an intimate knowledge of your local town or city. Why not utilize that familiarity to create a captivating photo essay that showcases the essence of your community?

Delve into what makes your town special, whether it’s the charming streets, unique landmarks, or the people who shape its character. Dedicate time to capturing the diverse aspects that define your locale. If you’re up for a more extensive project, consider photographing the town over the course of an entire year, capturing the changing seasons and the dynamic spirit of your community.

14. Pick a local cause to highlight

Photo essays can go beyond passive documentation; they can become a part of your activism, too!

So find a cause that matters to you. Tell the story of some aspect of community life that needs improvement. Is there an ongoing issue with litter in your area? How about traffic; is there a problematic intersection?

Document these issues, then make sure to show the photos to people responsible for taking action.

15. Making a meal

Photo essay ideas can be about simple, everyday things – like making a meal or a coffee.

How can you creatively illustrate something that seems so mundane? My guess is that, when you put your mind to it, you can come up with many unique perspectives, all of which will make great stories.

plate of Thai curry photo essay ideas

16. Capture the life of a flower

In our fast-paced lives, it’s easy to overlook the beauty that surrounds us. Flowers, with their mesmerizing colors and rapid life cycles, offer a captivating subject for a photo essay. Try to slow down and appreciate the intricate details of a flower’s existence.

With a macro lens in hand, document a single flower or a patch of flowers from their initial shoots to their inevitable wilting and decomposition. Experiment with different angles and perspectives to bring viewers into the enchanting world of the flower. By freezing these fleeting moments, you’ll create a visual narrative that celebrates the cycle of life and the exquisite beauty found in nature’s delicate creations.

17. Religious traditions

Religion is often rich with visual expression in one form or another. So capture it!

Of course, you may need to narrow down your ideas and choose a specific aspect of worship to photograph. Aim to show what people do when they visit a holy place, or how they pray on their own. Illustrate what makes their faith real and what’s special about it.

photo essay idea monks walking

18. Historic sites

Historic sites are often iconic, and plenty of photographers take a snapshot or two.

But with a photo essay, you can illustrate the site’s history in greater depth.

Look for details of the location that many visitors miss. And use these to build an interesting story.

19. Show the construction of a building

Ever been away from a familiar place for a while only to return and find that things have changed? It happens all the time, especially in areas undergoing constant development. So why not grab your camera and document this transformation?

Here’s the idea: Find a building that’s currently under construction in your area. It could be a towering skyscraper, a modern office complex, or even a small-scale residential project. Whatever catches your eye! Then let the magic of photography unfold.

Make it a habit to take a photo every day or two. Watch as the building gradually takes shape and evolves. Capture the construction workers in action, the cranes reaching for the sky, and the scaffolding supporting the structure.

Once the building is complete, you’ll have a treasure trove of images that chronicle its construction from start to finish!

20. Document the changing skyline of the city

This photo essay example is like the previous one, except it works on a much larger scale. Instead of photographing a single building as it’s built, find a nice vantage point outside your nearest city, then photograph the changing skyline.

To create a remarkable photo essay showcasing the changing skyline, you’ll need to scout out the perfect vantage point. Seek high ground that offers a commanding view of the city, allowing you to frame the skyline against the horizon. Look for spots that give you an unobstructed perspective, whether a rooftop terrace, a hillside park, or even a nearby bridge.

As you set out on your photography expedition, be patient and observant. Cities don’t transform overnight; they change gradually over time. Embrace the passage of days, weeks, and months as you witness the slow evolution unfold.

Pro tip: To capture the essence of this transformation, experiment with various photographic techniques. Play with different angles, framing, and compositions to convey the grandeur and dynamism of the changing skyline. Plus, try shooting during the golden hours of sunrise and sunset , when the soft light bathes the city in a warm glow and accentuates the architectural details.

21. Photograph your pet

If you’re a pet owner, you already have the perfect subject for a photo essay!

All pets , with the possible exception of pet rocks, will provide you with a collection of interesting moments to photograph.

So collect these moments with your camera – then display them as a photo essay showing the nature and character of your pet.

Woman and elephant

22. Tell the story of a local nature preserve

Ah, the wonders of a local nature preserve! While it may not boast the grandeur of Yosemite National Park, these hidden gems hold their own beauty, just waiting to be discovered and captured through the lens of your camera.

To embark on this type of photo essay adventure, start by exploring all the nooks and crannies of your chosen nature preserve. Wander along its winding trails, keeping an eye out for unique and captivating subjects that convey the essence of the preserve.

As you go along, try to photograph the intricate details of delicate wildflowers, the interplay of light filtering through a dense forest canopy, and the lively activities of birds and other wildlife.

23. Show the same subject from multiple perspectives

It’s possible to create an entire photo essay in a single afternoon – or even in a handful of minutes. If you don’t love the idea of dedicating yourself to days of photographing for a single essay, this is a great option.

Simply find a subject you like, then endeavor to capture 10 unique images that include it. I’d recommend photographing from different angles: up above, down low, from the right and left. You can also try getting experimental with creative techniques, such as intentional camera movement and freelensing. If all goes well, you’ll have a very cool set of images featuring one of your favorite subjects!

By showcasing the same subject from multiple perspectives, you invite viewers on a visual journey. They get to see different facets, textures, and details that they might have overlooked in a single photograph. It adds depth and richness to your photo essay, making it both immersive and dynamic.

Photo essay ideas: final words

Remember: Photo essays are all about communicating a concept or a story through images rather than words. So embrace the process and use images to express yourself!

Whether you choose to follow a sports team through a thrilling season, document the growth of your little ones, or explore the hidden treasures of your local town, each photo essay has its own magic waiting to be unlocked. It’s a chance to explore your creativity and create images in your own style.

So look at the world around you. Grab your gear and venture out into the wild. Embrace the beauty of nature, the energy of a bustling city, or the quiet moments that make life special. Consider what you see every day. What aspects interest you the most? Photograph those things.

You’re bound to end up with some amazing photo essays!

Now over to you:

Do you have any photo essay examples you’re proud of? Do you have any more photo essay ideas? Share your thoughts and images in the comments below!

23 Photo Essay Ideas and Examples (to Get Your Creative Juices Flowing!)

Read more from our Tips & Tutorials category

Kevin Landwer-Johan

Kevin Landwer-Johan is a photographer, photography teacher, and author with over 30 years of experience that he loves to share with others.

Check out his website and his Buy Me a Coffee page .

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How to Create an Engaging Photo Essay (with Examples)

Photo essays tell a story in pictures. They're a great way to improve at photography and story-telling skills at once. Learn how to do create a great one.

Learn | Photography Guides | By Ana Mireles

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Photography is a medium used to tell stories – sometimes they are told in one picture, sometimes you need a whole series. Those series can be photo essays.

If you’ve never done a photo essay before, or you’re simply struggling to find your next project, this article will be of help. I’ll be showing you what a photo essay is and how to go about doing one.

You’ll also find plenty of photo essay ideas and some famous photo essay examples from recent times that will serve you as inspiration.

If you’re ready to get started, let’s jump right in!

Table of Contents

What is a Photo Essay?

A photo essay is a series of images that share an overarching theme as well as a visual and technical coherence to tell a story. Some people refer to a photo essay as a photo series or a photo story – this often happens in photography competitions.

Photographic history is full of famous photo essays. Think about The Great Depression by Dorothea Lange, Like Brother Like Sister by Wolfgang Tillmans, Gandhi’s funeral by Henri Cartier Bresson, amongst others.

What are the types of photo essay?

Despite popular belief, the type of photo essay doesn’t depend on the type of photography that you do – in other words, journalism, documentary, fine art, or any other photographic genre is not a type of photo essay.

Instead, there are two main types of photo essays: narrative and thematic .

As you have probably already guessed, the thematic one presents images pulled together by a topic – for example, global warming. The images can be about animals and nature as well as natural disasters devastating cities. They can happen all over the world or in the same location, and they can be captured in different moments in time – there’s a lot of flexibility.

A narrative photo essa y, on the other hand, tells the story of a character (human or not), portraying a place or an event. For example, a narrative photo essay on coffee would document the process from the planting and harvesting – to the roasting and grinding until it reaches your morning cup.

What are some of the key elements of a photo essay?

  • Tell a unique story – A unique story doesn’t mean that you have to photograph something that nobody has done before – that would be almost impossible! It means that you should consider what you’re bringing to the table on a particular topic.
  • Put yourself into the work – One of the best ways to make a compelling photo essay is by adding your point of view, which can only be done with your life experiences and the way you see the world.
  • Add depth to the concept – The best photo essays are the ones that go past the obvious and dig deeper in the story, going behind the scenes, or examining a day in the life of the subject matter – that’s what pulls in the spectator.
  • Nail the technique – Even if the concept and the story are the most important part of a photo essay, it won’t have the same success if it’s poorly executed.
  • Build a structure – A photo essay is about telling a thought-provoking story – so, think about it in a narrative way. Which images are going to introduce the topic? Which ones represent a climax? How is it going to end – how do you want the viewer to feel after seeing your photo series?
  • Make strong choices – If you really want to convey an emotion and a unique point of view, you’re going to need to make some hard decisions. Which light are you using? Which lens? How many images will there be in the series? etc., and most importantly for a great photo essay is the why behind those choices.

9 Tips for Creating a Photo Essay

photo essay about mathematics

Credit: Laura James

1. Choose something you know

To make a good photo essay, you don’t need to travel to an exotic location or document a civil war – I mean, it’s great if you can, but you can start close to home.

Depending on the type of photography you do and the topic you’re looking for in your photographic essay, you can photograph a local event or visit an abandoned building outside your town.

It will be much easier for you to find a unique perspective and tell a better story if you’re already familiar with the subject. Also, consider that you might have to return a few times to the same location to get all the photos you need.

2. Follow your passion

Most photo essays take dedication and passion. If you choose a subject that might be easy, but you’re not really into it – the results won’t be as exciting. Taking photos will always be easier and more fun if you’re covering something you’re passionate about.

3. Take your time

A great photo essay is not done in a few hours. You need to put in the time to research it, conceptualizing it, editing, etc. That’s why I previously recommended following your passion because it takes a lot of dedication, and if you’re not passionate about it – it’s difficult to push through.

4. Write a summary or statement

Photo essays are always accompanied by some text. You can do this in the form of an introduction, write captions for each photo or write it as a conclusion. That’s up to you and how you want to present the work.

5. Learn from the masters

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Making a photographic essay takes a lot of practice and knowledge. A great way to become a better photographer and improve your storytelling skills is by studying the work of others. You can go to art shows, review books and magazines and look at the winners in photo contests – most of the time, there’s a category for photo series.

6. Get a wide variety of photos

Think about a story – a literary one. It usually tells you where the story is happening, who is the main character, and it gives you a few details to make you engage with it, right?

The same thing happens with a visual story in a photo essay – you can do some wide-angle shots to establish the scenes and some close-ups to show the details. Make a shot list to ensure you cover all the different angles.

Some of your pictures should guide the viewer in, while others are more climatic and regard the experience they are taking out of your photos.

7. Follow a consistent look

Both in style and aesthetics, all the images in your series need to be coherent. You can achieve this in different ways, from the choice of lighting, the mood, the post-processing, etc.

8. Be self-critical

Once you have all the photos, make sure you edit them with a good dose of self-criticism. Not all the pictures that you took belong in the photo essay. Choose only the best ones and make sure they tell the full story.

9. Ask for constructive feedback

Often, when we’re working on a photo essay project for a long time, everything makes perfect sense in our heads. However, someone outside the project might not be getting the idea. It’s important that you get honest and constructive criticism to improve your photography.

How to Create a Photo Essay in 5 Steps

photo essay about mathematics

Credit: Quang Nguyen Vinh

1. Choose your topic

This is the first step that you need to take to decide if your photo essay is going to be narrative or thematic. Then, choose what is it going to be about?

Ideally, it should be something that you’re interested in, that you have something to say about it, and it can connect with other people.

2. Research your topic

To tell a good story about something, you need to be familiar with that something. This is especially true when you want to go deeper and make a compelling photo essay. Day in the life photo essays are a popular choice, since often, these can be performed with friends and family, whom you already should know well.

3. Plan your photoshoot

Depending on what you’re photographing, this step can be very different from one project to the next. For a fine art project, you might need to find a location, props, models, a shot list, etc., while a documentary photo essay is about planning the best time to do the photos, what gear to bring with you, finding a local guide, etc.

Every photo essay will need different planning, so before taking pictures, put in the required time to get things right.

4. Experiment

It’s one thing to plan your photo shoot and having a shot list that you have to get, or else the photo essay won’t be complete. It’s another thing to miss out on some amazing photo opportunities that you couldn’t foresee.

So, be prepared but also stay open-minded and experiment with different settings, different perspectives, etc.

5. Make a final selection

Editing your work can be one of the hardest parts of doing a photo essay. Sometimes we can be overly critical, and others, we get attached to bad photos because we put a lot of effort into them or we had a great time doing them.

Try to be as objective as possible, don’t be afraid to ask for opinions and make various revisions before settling down on a final cut.

7 Photo Essay Topics, Ideas & Examples

photo essay about mathematics

Credit: Michelle Leman

  • Architectural photo essay

Using architecture as your main subject, there are tons of photo essay ideas that you can do. For some inspiration, you can check out the work of Francisco Marin – who was trained as an architect and then turned to photography to “explore a different way to perceive things”.

You can also lookup Luisa Lambri. Amongst her series, you’ll find many photo essay examples in which architecture is the subject she uses to explore the relationship between photography and space.

  • Process and transformation photo essay

This is one of the best photo essay topics for beginners because the story tells itself. Pick something that has a beginning and an end, for example, pregnancy, the metamorphosis of a butterfly, the life-cycle of a plant, etc.

Keep in mind that these topics are linear and give you an easy way into the narrative flow – however, it might be difficult to find an interesting perspective and a unique point of view.

  • A day in the life of ‘X’ photo essay

There are tons of interesting photo essay ideas in this category – you can follow around a celebrity, a worker, your child, etc. You don’t even have to do it about a human subject – think about doing a photo essay about a day in the life of a racing horse, for example – find something that’s interesting for you.

  • Time passing by photo essay

It can be a natural site or a landmark photo essay – whatever is close to you will work best as you’ll need to come back multiple times to capture time passing by. For example, how this place changes throughout the seasons or maybe even over the years.

A fun option if you live with family is to document a birthday party each year, seeing how the subject changes over time. This can be combined with a transformation essay or sorts, documenting the changes in interpersonal relationships over time.

  • Travel photo essay

Do you want to make the jump from tourist snapshots into a travel photo essay? Research the place you’re going to be travelling to. Then, choose a topic.

If you’re having trouble with how to do this, check out any travel magazine – National Geographic, for example. They won’t do a generic article about Texas – they do an article about the beach life on the Texas Gulf Coast and another one about the diverse flavors of Texas.

The more specific you get, the deeper you can go with the story.

  • Socio-political issues photo essay

This is one of the most popular photo essay examples – it falls under the category of photojournalism or documental photography. They are usually thematic, although it’s also possible to do a narrative one.

Depending on your topic of interest, you can choose topics that involve nature – for example, document the effects of global warming. Another idea is to photograph protests or make an education photo essay.

It doesn’t have to be a big global issue; you can choose something specific to your community – are there too many stray dogs? Make a photo essay about a local animal shelter. The topics are endless.

  • Behind the scenes photo essay

A behind-the-scenes always make for a good photo story – people are curious to know what happens and how everything comes together before a show.

Depending on your own interests, this can be a photo essay about a fashion show, a theatre play, a concert, and so on. You’ll probably need to get some permissions, though, not only to shoot but also to showcase or publish those images.

4 Best Photo Essays in Recent times

Now that you know all the techniques about it, it might be helpful to look at some photo essay examples to see how you can put the concept into practice. Here are some famous photo essays from recent times to give you some inspiration.

Habibi by Antonio Faccilongo

This photo essay wan the World Press Photo Story of the Year in 2021. Faccilongo explores a very big conflict from a very specific and intimate point of view – how the Israeli-Palestinian war affects the families.

He chose to use a square format because it allows him to give order to things and eliminate unnecessary elements in his pictures.

With this long-term photo essay, he wanted to highlight the sense of absence and melancholy women and families feel towards their husbands away at war.

The project then became a book edited by Sarah Leen and the graphics of Ramon Pez.

photo essay about mathematics

Picture This: New Orleans by Mary Ellen Mark

The last assignment before her passing, Mary Ellen Mark travelled to New Orleans to register the city after a decade after Hurricane Katrina.

The images of the project “bring to life the rebirth and resilience of the people at the heart of this tale”, – says CNNMoney, commissioner of the work.

Each survivor of the hurricane has a story, and Mary Ellen Mark was there to record it. Some of them have heartbreaking stories about everything they had to leave behind.

Others have a story of hope – like Sam and Ben, two eight-year-olds born from frozen embryos kept in a hospital that lost power supply during the hurricane, yet they managed to survive.

photo essay about mathematics

Selfie by Cindy Sherman

Cindy Sherman is an American photographer whose work is mainly done through self-portraits. With them, she explores the concept of identity, gender stereotypes, as well as visual and cultural codes.

One of her latest photo essays was a collaboration with W Magazine entitled Selfie. In it, the author explores the concept of planned candid photos (‘plandid’).

The work was made for Instagram, as the platform is well known for the conflict between the ‘real self’ and the one people present online. Sherman started using Facetune, Perfect365 and YouCam to alter her appearance on selfies – in Photoshop, you can modify everything, but these apps were designed specifically to “make things prettier”- she says, and that’s what she wants to explore in this photo essay.

Tokyo Compression by Michael Wolf

Michael Wolf has an interest in the broad-gauge topic Life in Cities. From there, many photo essays have been derived – amongst them – Tokyo Compression .

He was horrified by the way people in Tokyo are forced to move to the suburbs because of the high prices of the city. Therefore, they are required to make long commutes facing 1,5 hours of train to start their 8+ hour workday followed by another 1,5 hours to get back home.

To portray this way of life, he photographed the people inside the train pressed against the windows looking exhausted, angry or simply absent due to this way of life.

You can visit his website to see other photo essays that revolve around the topic of life in megacities.

Final Words

It’s not easy to make photo essays, so don’t expect to be great at it right from your first project.

Start off small by choosing a specific subject that’s interesting to you –  that will come from an honest place, and it will be a great practice for some bigger projects along the line.

Whether you like to shoot still life or you’re a travel photographer, I hope these photo essay tips and photo essay examples can help you get started and grow in your photography.

Let us know which topics you are working on right now – we’ll love to hear from you!

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Ana Mireles is a Mexican researcher that specializes in photography and communications for the arts and culture sector.

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How to Create a Photo Essay

photo essay about mathematics

The photographic essay, also called a photo essay or photo story, is a powerful way for photographers to tell a story with their images. If you are interested in creating your own photo essay, this article will guide you through the whole process, from finding a story to shoot to the basics of crafting your first visual narrative.

Table of Contents

What is a photo essay.

A photo essay tells a story visually. Just like the kind you read, the photo essay offers a complete rendering of a subject or situation using a series of carefully crafted and curated images. Photo stories have a theme, and each image backs up that overarching theme which is defined in the photo essay’s title and is sometimes supported with text.

From documentary to narrative to essay, photo stories are designed to move their audience, to inspire a certain action, awareness, or emotion. Photo stories are not just a collection of cool photos. They must use their visual power to capture viewers’ attention and remain unforgettable.

History of the Photo Story

In the “old days”, that is, before 1948, magazines ran photo stories very different from what we know today. They were staged, preconceived by an editor, not a truthful observation of life. Along came a photographer named W. Eugene Smith, who worked for Life magazine.

Deciding to follow a rural doctor for six weeks, he gathered material for a photo essay that really showed what it was like to be in that doctor’s shoes, always on the go to help his scattered patients. Smith’s piece, “ Country Doctor ,” shook other photographers out of their scripted stupor and revolutionized the way photographers report what they see.

photo essay about mathematics

From then on, photojournalism gained life and an audience through the lenses of legends like Robert Capa, Dorothea Lange, David “Chim” Seymour, Gordon Parks, Werner Bischof, and Henri Cartier-Bresson. The Vietnam War provided many examples for photo stories as represented by Philip Jones Griffiths, Catherine Leroy, and many more.

More recently, photo stories have found a sturdy home online thanks to the ease of publishing a series of photos digitally versus in print. Lynsey Addario, Peter Essick, and Adam Ferguson represent a few of the photographers pushing visual storytelling today.

Dorothea Lange photo

Ways to Find Photo Stories and Themes

Photo stories exist all around, right in the midst of everyday life and in the fray of current events. A good place to begin developing a photo essay is by choosing a general theme.

Topics that Interest You

The best expression comes from the heart, so why not choose a topic that interests you. Maybe it’s a social issue, an environmental one, or just something you’re curious about. Find what moves you and share that with the world.

Personal Experiences

The more you’ve lived, the more you have to tell. This doesn’t necessarily mean age, it can also refer to experiences, big and small. If you know a subject better than most, like what it’s like to recover from a car crash, you’re an expert on the matter and therefore you have a story to tell. Also, consider the things you read and see or watch, like news or history, and incorporate that into your search for a story.

photo essay about mathematics

Problem/Solution

Problems abound in the world. But so do solutions. Photojournalists can present either, or both. Have a look at something that’s wrong in society and show why it’s a problem. Or find a problem that’s been resolved and show the struggle it took to get there. Even better, take your time shooting your story — sometimes it can take years — and document how a wrong is righted.

Day-in-the-Life

One of the most popular formats, day-in-the-life photo stories present microcosms of life that relate to the bigger picture. In a similar vein, behind-the-scenes photo stories show viewers what life is really like for others, especially in situations that are difficult or impossible to access. Events represent another simple yet powerful theme for documenting and storytelling with a camera.

A Gordon Parks photo

Types of Photo Stories

Most photo stories concern people. If it’s about something like the environment, for example, the photo story can showcase the people involved. In either case, the impactful photo story will present the challenges and dilemmas of the human condition, viscerally.

There are three general types of photo stories.

Narrative Story

Narrative deals with complications and their resolution, problems, and solutions. If there appears to be no resolution, at least the struggle to find one can provide material for a photo essay. Some sort of narrative thread must push the story from beginning to middle to end, just like what you see in a good movie.

A good story also requires action, which in this case must be visual. Good stories are page-turners, whether they’re a Kerouac tale or a series of photos demonstrating the difficulties of single parenting. Adventure stories are one good example of photographic narrative storytelling.

The term “photo story” is generally used interchangeably with “photo essay”, but some photographers hold that there are subtle differences between the two. The essay type of photo story implies opinion, they argue. Essays make a point. They are the opposite of facts-only news. A photo story essay makes a case for something, like showing the danger and consequences of illegal fireworks or advocating for the preservation of a forest.

Documentary

On the other hand, documentaries lack opinion. Their purpose is to inform without adding judgment. Documentaries present the facts and let viewers decide. They illustrate something that’s occurring but they don’t always include a narrative story or an opinionated approach. Historical places, current events, and unique lifestyles always make for good documentary photo stories.

photo essay about mathematics

How to Craft a Photo Essay

Several elements come into play when putting together a photo essay. Once you’ve found a theme, it’s time to give your project a name. While out shooting, jot down titles that come to mind. Consider the title a magazine headline that explains in few words what the whole story is about.

Choose your photos according to whether or not they relate to and support the photo essay’s title. Reject those photos that don’t. If your collection seems to suggest a different angle, a different title, don’t be afraid to rename it. Sometimes stories develop organically. But if your title can’t assemble and define your selection of photos, maybe it’s too vague. Don’t rush it. Identify the theme, take the photos and the photo essay will take shape.

Werner Bischof photos

Certain techniques help tell the photo essay.

A photo essay is composed of a diversity of views, angles, and focal lengths. While masters like Henri Cartier-Bresson could capture a photo essay with a single prime lens, in his case a 50mm, the rest of us are wise to rely on multiple focal lengths. Just like what we see in the movies, a story is told with wide shots that set the scene, medium shots that tell the story, and close-ups that reveal character and emotion.

Unique angles make viewers curious and interested, and they break the monotony of standard photography. Consider working black-and-white into your photo essay. The photo essay lends itself well to reportage exclusively in monochrome, as the legends have demonstrated since W. Eugene Smith.

Visual Consistency

The idea of a photo essay is to create a whole, not a bunch of random parts. Think gestalt. The images must interact with each other. Repetition helps achieve this end. Recurring themes, moods, styles, people, things, and perspectives work to unify a project even if the photos tell different parts of the story.

photo essay about mathematics

Text can augment the impact of a photo essay. A photo may be worth a thousand words, but it doesn’t always replace them. Captions can be as short as a complete sentence, as long as a paragraph, or longer. Make sure to take notes in case you want to add captions. Some photo stories, however, function just fine without words.

Tell a Story as a Photographer

Few genres of photography have moved people like the photo essay. Since its inception, the art of visual storytelling has captivated audiences. Photo stories show viewers things they had never seen, have moved masses to action, and have inspired video documentaries. Today, photo stories retain their power and place, in part thanks to the internet. Every photographer should experiment with a photo essay or two.

The method of crafting a photo essay is simple yet complicated, just like life. Careful attention must be paid to the selection of images, the choice of title, and the techniques used in shooting. But follow these guidelines and the photo stories will come. Seek issues and experiences that inspire you and go photograph them with the intention of telling a complete story. The viewing world will thank you.

Image credits: Header photo shows the May 13, 1957 story in LIFE magazine titled, “ The Tough Miracle Man of Vietnam .” Stock photos from Depositphotos

photo essay about mathematics

Photo Essay

A mourner stops to pay his respects at a memorial at Robb Elementary School, created to honor the victims killed in the recent school shooting, June 9, 2022, in Uvalde, Texas.

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18 Immersive Photo Essay Examples & Tips

By Tata Rossi 13 days ago, Professional photography

photo essay about mathematics

A photo essay tells a story or evokes emotion through a series of photographs. The essays allow you to be creative and fully explore an idea. Such essays exist in a variety of forms – from photos only to images with brief comments or written essays accompanied by shots. Choose a photo essay example that you can easily do based on your professional level and the equipment you use.

1. Protests

  • View the “Resistance” photo essay by David Moore .

A great idea for photo essays for students is to shoot the protest to show its power. You can capture people with signs and banners to demonstrate what they are standing for. Besides, you can learn how to capture moving subjects. Use the best example of photo essay and don’t forget about angles, composition, and framing.

To create a photo essay , go up to the front and photograph the leader of the protesters walking forward. After that, go back to the end of the group to take pictures of families joining the protest. As a result, you will gain experience shooting big groups of people in motion.

2. Transformation

  • View the “A Self-Portrait Every Day” photo essay by Noah Kalina .

This idea is all about capturing the way a person changes. You may take photos of a pregnant woman and then capture the same model with a child. By documenting the development of the child for several years, you can tell a great story in the form of a photo essay.

However, you can also create a photo essay about the transformation of different objects. For instance, you can create a time-lapse series to capture the history of a renovated building. While you will have to take a lot of similar photos to bring this idea to life, it will allow you to achieve an impressive result.

3. Local Event

  • View the “Monday Marathon” photo essay by Quinn G. Perini .

Whether you are a resident of a large city or a small town, you can find an opportunity to visit a local event, like a marathon or a festival. This is a nice chance to follow modern photography trends and bring photo essay ideas to life.

You can capture the before-and-after stages of the event. Arrive earlier and take pictures of the preparation activities, then shoot the actual event starting with the official beginning.

Keep photographing even when the event is over and capture the cleaning up and disassembling processes.

4. Photowalk

  • View the “Empty Campus” photo essay by Elise Trissel .

Explore the location where you live and find interesting objects to capture in the vicinity. Using the most interesting photo essay examples, you can decide how to make the best decisions. Don’t hurry and try to discover which angles you can use to capture the unique atmosphere of each place.

If you live in the city, you may capture architectural details, wide shots of busy streets, or just take photos of passersby and street signs. Think about the details that make every location unique. For instance, you can try capturing reflections to see how they allow you to see the city from an unusual angle. You can find reflections everywhere, so be sure to pay attention to mirrored buildings, puddles, and fountains.

5. Place Over Time

  • View the “At Home in the Ozarks” photo essay by Kylee Cole .

If you want to document changes and show how the streets, buildings, and parks in your city change over time, select your favorite locations and start to visit them regularly to capture the way they look during different seasons.

  • View the “Last Moments” photo essay by Ross Taylor .

You don’t necessarily have to focus on profound photo essay topics to evoke emotions. Capturing pets enjoying their worry-free and untroubled life seems like an easy but interesting activity.

Choose any animal – from a domestic bird to a dog, cat, or horse. For more emotional images, use such pet photography ideas when your pet is still a baby and recreate these shots when it is older or is in its final days.

7. Street Style

  • View the Tribal Street Photography photo essay by Hans Eijkelboom .

People often express themselves with the help of clothes. The way passers-by on the streets are dressed may reflect the clothing style of a whole society. That’s why you can travel around the world and capture people’s outfits in various areas. When taking portrait photos in the streets, you can also include some of the surroundings to put them in the context.

You can ask people in the streets to pose for you or try to capture them in movement. Select a suitable location for taking photos and create a photo essay to document what kinds of people one can meet in this location. When doing urban photography , you should ask people for permission before taking photos of them. You can ask their contacts and send them your photos later.

8. Abandoned Building

  • View the “Lost Collective” photo essay by Bret Pattman .

Old buildings are excellent architecture photography essay topics for students since you can capture a large number of elements. They allow you to imagine what a particular street looked like in the past. You may use a photo essay example for students as references.

Get approval before going in, but mind that such places are far from being totally safe. Bring various lenses: the macro lenses – for details and the wide-angle one – when you want to include many elements in one shot.

9. Alternative Lifestyles

  • View the “Last Nomad Hippies” photo essay by Roberto Palomo .

Some people decide to lead a lifestyle that differs from the one generally accepted by society. Explore different areas and look for people with an unusual way of living. You can capture candid photos of regular people or take pictures of a person with an unusual hobby.

Take pictures of those, who reside in extraordinary conditions, representatives of various subcultures, or the LBGTQ community. These photo essay topics show other people that it is okay to go out of their comfort zone and run against the wind.

10. Social Issues

  • View the “Juveniles in Prison” photo essay by Isadora Kosofsky .

The best photo essay examples for students are related to social issues, like unemployment, domestic violence, gender discrimination, and more. Address the topic carefully and look for a proper perspective.

Your shots may draw the people’s attention to a truly burning and relevant matter and have a stronger effect than any text.

11. Behind the Scenes

  • View the “Follow Me” photo essay by Marius Masalar .

If you are going to visit an event, get ready to take some behind-the-scenes photos. For instance, you can document the preparations for a festival. Capture the work of the lead event planner and other professionals to tell the story of the festival from an unusual angle.

Alternatively, you can capture the events happening backstage during a drama production. Take pictures of actors and actresses when they are getting ready for the performance. Try capturing the emotions of the main lead and show how stage workers make final preparations. You can also document the work of designers and makeup professionals.

12. Landmarks

  • View the “Volte-Face” photo essay by Oliver Curtis .

The pictures of landmarks are typically taken from a certain spot. One of the best photo essay ideas is to try shooting sights from various angles. You will also have an opportunity to improve your composition and your framing skills.

If you take a look at any pictorial essay example, you will see that the variety of perspectives is endless: through the streets, in the morning, afternoon, and evening, with a drone or including reflections.

    • View the “Family” photo essay by Olivia Moore .

You can capture the way family members interact with each other and demonstrate the strong connection they share. In some cases, it makes sense to focus on capturing candid photos when doing family photography .

However, you may also opt for a different approach and focus on more difficult social topics. For instance, if you want to examine the issue of immigration, you can take pictures of a family from another country. In addition, you may show how families cope with other social issues, including poverty or unequal access to healthcare.

14. A Day in the Life

  • View the “A Day in the Life of Carlos Gaytan” photo essay by Sandy Noto .

One of the best photo essays concepts is related to a day in a person’s life. The main character can be any person – a relative, family member, teacher, writer, or policeman.

People are generally interested in finding out facts about the lives and daily routines of others. The life of every human is incredible, especially if you learn it in more detail. This idea is especially suitable for taking documentary photos. For instance, you can select any photo essay sample you like and then capture a portrait of a person with the tools they use for their work.

15. Education

  • View the “School Day” photo essay by Nancy Borowick .

You can also take great photos in the classroom capturing the interactions of teachers and their students. Avoid distracting them, as it will be easier for you to take natural shots. Using a variety of settings, you can make your photo essay more engaging. For instance, you may visit chemistry labs, capture teachers during a break, and take photos in other locations.

  • View the “Meals From the Motherland” photo essay by James Tran .

You can also focus on specific meals to create a professional photo essay about food. To make it more attention-grabbing, try using different food photography ideas .

For instance, you can take photos of popular meals, capture the meals made by a specific person, or document cooking traditions in different countries. When taking photos in a restaurant, pay attention to the surroundings as well to capture the unique atmosphere of a place.

17. Capture the Neighbors

  • View the “Our Neighbors” photo essay by Jeanne Martin .

Regardless of the place where you live, you have to establish good relationships with your neighbors. People who live nearby can also be great models for professionals who specialize in portrait photography. To implement this idea, make sure to capture people at home or in front of their houses to include some of the surroundings in your photo essay.

You will discover many interesting facts about people who live nearby. Shooting a photo essay will allow you to learn them better and establish a strong connection with them. This way, you can create a sense of community and discover what holds its members together.

18. Climate Change

  • View the “Effects of Climate Change” photo essay by Sanya Gupta .

It is possible to a variety of photo story ideas bring to life examining the impact of climate change. Travel to places most affected by climate change, for instance, glaciers or famous resorts.

Capture the way the continuous drought has influenced the environment, animals, and the inhabitants. As an alternative, take pictures of environmentalist protests or inexhaustible energy sources.

Photo Essay Tips for Students

Explore your topic . An in-depth exploration of the main topic of your photo essay will help you find the best ideas for conveying your message. You can also find some sources for inspiration and useful materials. This stage allows you to learn more about your subject and select the best way of organizing your photo essay.

Create a storyboard . Using a storyboard, you can better understand what shots you need to take and what order can help you to tell a story in the best way. It will also allow you to create the right mood.

Take as many pictures as you can . To create a compelling story, make sure to take a lot of photos. It will allow you to choose the best pictures for your photo essay. Besides, you will always have backup photos if some of your pictures get damaged.

Experiment with different techniques . By changing the angle and using a variety of editing techniques, you can transform the way your photos look. When taking photos, try using different angles to capture the subject in the best way. You can also try changing the distance from the model, using black-and-white film, or employing a range of developing methods.

Add text . While some photographers create photo essays without text, it can still help you bring your point across more clearly and make it easier for a viewer to understand what you imply. By providing extra information, such as some facts, you can change the perception of your image. If you don’t know how to write descriptions, you can hire a professional writer to perform this task.

Enhance your photos . To edit your pictures, make sure to use professional photo editing software like Adobe Lightroom or Photoshop. Using the available tools, you can improve and change your photos. They allow you to fix issues with lighting, adjust WB, make colors richer, crop your pics to improve the composition, and perform other tasks. In case you need to edit your photos in a consistent style, you can use Photoshop Actions or Lightroom Presets.

In some cases, your pictures may require more advanced editing. If you see that your skills are insufficient or if you don’t have enough time, you can outsource the task of enhancing your photos to the FixThePhoto team. They will professionally enhance your pictures for a budget price. Their prices start from $1.50 per photo.

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In this bundle, you will find actions created by experienced professionals who used recent photo enhancement trends to create convenient editing tools. Here, you will find a collection of brushes, patterns, overlays, and other effects for editing your photos in a realistic way.

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  • PowerPoints
  • Mathematics of Photography

Mathematics is just one of my passions. As well as teaching Mathematics, MultiMedia, and ICT as my “Day Job”, I also work as a Photographer on weekends.

Modern Digital Photography involves quite a bit of behind the scenes Mathematics.

This Mathematics includes Geometric Sequences, Polyhedrons, Fractions, Geometry, Circle Areas, Angles, Algebra Formulas, and Symmetry.

An understanding of this Mathematics can definitely make you a better Photographer, even if it just means you know the best Viewpoints, Angles, and Geometric Composition to use when taking pictures with a Mobile Phone.

I have found that understanding the Mathematics of a DSLR Camera really helps me do fast effective problem solving on Photoshoots.

Digital Cameras have preset auto modes which work well in about 80% of situations, but there are other times when a Camera needs to be put into full Manual Mode and some Mathematical Problem Solving invoked.

Here at Passy’s World we have produced a comprehensive series of articles on the Mathematics of Photography, including plenty of real life examples as well as selected Videos which can be viewed.

We recommend working through these articles in the order in which they appear in the Overview Below.

The eight Mathematics of Photography articles are as follows:

– Photo Composition Rules

– Digital Camera Variables

– The ISO Variable

– The Aperture Variable

– The Shutter Speed Variable

– The White Balance Variable

– Combining Variables for Correct Exposure

– Flash Photograpy and Diffusers

Contained below is an outline of each article followed by a clickable link to the full article.

It is important to work through the articles in the order they are given here.

   

Like great Works of Art, the elements in a Photograph need to be arranged in a manner which is interesting and pleasing to the eye.

In addition, Photography is a two dimensional medium. Therefore we need to make use of the elements which are present in the photo to create a sense of depth and three dimensions.

Photos also need a main focal point, as well as leading our eyes on a journey through the picture.

Having these things makes for great photos, which are pleasing to the eye, and we call this “Composition”.

There are a Number of Composition Rules involving Percentage, Geometry, Symmetry, a Grid of Thirds, and even the “Golden Ratio” and its spiral.

To find out about these rules and their Mathematics, click the link below:

Photo Composition Rules

Most people use their camera on “Auto” mode, and get plenty of good pictures.

However, there are many items on a camera which can be adjusted manually to get even better pictures!

In this “How To” article we introduce several of these camera settings, (known as “Variables”), and show how they can be used to create quality photos.

An overview of the three main Variables: “ISO Light Sensitivity”, “Aperture”, and “Shutter Speed” is provided.

This provides the preliminary background to more detailed articles on each of the Variables.

It is therefore vitally important to read this article before proceeding forward to the specific detailed articles.

To read the Introductory Article about Camera Variables, click the link below.

Digital Camera Variables and Settings

ISO sets a Camera’s sensitivity to light

Effectively it works like a Brightness Control on your camera, and you can turn it up higher if you are in a dark room, or in a shady forest.

If you are in Bright Sunlight, then you need to turn the ISO down to a low value or else your photo will come out all white and washed out with too much brightness.

Camera ISO is one of the three key Variables of Photography, the other two being Aperture and Shutter Speed.

Every photographer needs to understand ISO in order to get bright and clear pictures from their equipment.

ISO values increase in a “Geometric Progression” or a “Geometric Sequence” (Factor of Two, which results in Doubling).

This ISO sequence is: 100, 200, 400, 800, 1600, 3200, 6400 and etc. For every step up in this scale, the brightness of your picture doubles.

To get the full story on ISO and how to set it correctly on Digital Cameras for a variety of lighting conditions, click the link below.

The ISO Variable

Aperture is one of the key variables in Digital Photography. The other two are ISO Light Sensitivity and Shutter Speed.

An understanding of Aperture is critically important to isolate subjects in portraits and get full detail in Landscape pictures.

The Aperture Scale consists of a seemingly odd set of decimal and whole numbers, and getting your head around these values is not at all easy for Beginner Photographers.

In this article we examine Aperture in detail, and mathematically explain where the Aperture “f-numbers” come from.

Click the following link to read the full article.

The Aperture Variable

Shutter Speed is mainly used for creating dramatic effects by either freezing action or blurring motion.

The Speed is expressed in a fraction of a second, and is how long we let light in through the camera lens to the sensor.

Think of the Shutter as like opening and closing a set of venetian blinds quickly to let a burst of light into a darkened room.

Shutter Speed forms a Geometric Progression of Fractions with a Common Ratio of 1/2.

Shutter Speed, (also called “Exposure Time”), becomes critically important in situations outside of the norm, such as the following:

1) Fast Moving Sports Action

2) Dimly lit indoor areas such as Bars and Clubs

3) Night Time Photography

4) Theatre and Musical Performances

5) Indoor Photos using Flash

6) Indoors Photos where we do not use Flash

7) Photos where we want motion blur for fast moving objects

8) Bird and Wildlife Photography

9) Photographing Young Children and Animals

In this article we will show you what Shutter Speed is, what the speed numbers mean, and how to set shutter speeds to values which should produce great photos.

Click the following link to read our article on Shutter Speed.

The Shutter Speed Variable

Different light sources produce light with slightly different colour tints, but our eyes do a great job correcting these variations.

Humans do not see a shift in colour as we move from a sunny garden into a shaded area, or go into a room and turn a light on.

Generally wherever we are, a piece of plain white paper always looks white.

However Digital Cameras DO detect light source differences, and sometimes create pictures with incorrect looking colours in them.

We need to know how to perform “white balance” adjustments, so that we can obtain pictures with realistic colours in them.

White Balance involves the Primary Colours of the Spectrum forming a Kelvin Temperature Scale from “cool” blue/violet through to warm “red” candle light.

What we have is a Mathematical Scale of color, and White Balance blends various colours together so that a white sheet of paper will look white, no matter what coloured lighting we are in.

You can read the full article on White Balance at the following link:

The White Balance Variable

In this article we look at Combining Variables for Correct “Exposure”.

We tie together the three key Digital Camera Variables: ISO, Shutter Speed, and Aperture, and discuss how to set these up to get good exposures in Camera Manual Mode.

When these three variables are optimised and unified together, we get a nice clear picture with great contrast and highlights. We say that the photo is correctly “Exposed”.

You can read the full article on Getting Correct Exposure Using Key Variables at the following link:

Combining Variables for Correct Exposure

In this article we discuss Flash Photography and how to use Light Diffusers to make Flash Photos look so much better.

Diffusers come in all types of Geometric Shapes and Sizes and create softened light which is more like Daylight.

The Intensity of Light from a point source like an on camera Flash follows an Inverse Square Law with the Distance the Flash is from the subject.

This is very important to have an intuitive idea about Inverse Square Law when changing the Power on a Flash, or when we move further away from the subject being photographed.

The full article about Flash and Diffusers can be read at the following link:

Flash Photograpy and Diffusers

Working through this series of articles will definitely make you a better photographer.

Keep in mind that I spent a couple of years working with Digital Photography to reach this level of understanding to a point where I could write about it to share my knowledge with others.

So if you are a complete beginner and feel a bit overwhelmed, then that is okay, these things just take practice and time.

It is best to work through all of our eight articles a bit at a time, try things out, and then come back to the articles to pick up a bit more of the finer detail.

These articles can also be great to refer to when a student says something like: “I don’t need to know Mathematics, I’m going to be a Photographer!”.

Well there is a lot of Mathematics involved with Photography, Cameras, and Lighting; even if you are only the model being put into poses and surrounded by intense studio lights.

The Maths is helpful, but the main thing about being a Photographer is to get out there taking lots of pictures!

Life is short and there can never be too many photos of its little magic moments!

Enjoy, Passy

  Photos By Passy

My Photography website can be found at the following link:

Photos By Passy Website

If you would like to check out a Portfolio of my Photography Work, then check out the Photo Albums on Flickr at the following link:

Photos By Passy Portfolio Albums

Finally if you are interested in reading more “How To” articles about Photography, then visit the “How To” section on my website at this link:

Photos By Passy How To Articles

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Math in Nature: 5 Stunning Ways We See Math in the World

Have you ever stopped to look around and notice all the amazing shapes and patterns we see in the world around us? Mathematics forms the building blocks of the natural world and can be seen in stunning ways. Here are a few of my favorite examples of math in nature , but there are many other examples as well.

photo essay about mathematics

The Fibonacci Sequence:

Named for the famous mathematician, Leonardo Fibonacci, this number sequence is a simple, yet profound pattern.

Based on Fibonacci’s ‘rabbit problem,’ this sequence begins with the numbers 1 and 1, and then each subsequent number is found by adding the two  previous numbers. Therefore, after 1 and 1, the next number is 2 (1+1). The next number is 3 (1+2) and then 5 (2+3) and so on.

What’s remarkable is that the numbers in the sequence are often seen in nature .

photo essay about mathematics

A few examples include the number of spirals in a pine cone, pineapple or seeds in a sunflower, or the number of petals on a flower.

The numbers in this sequence also form a a unique shape known as a Fibonacci spiral, which again, we see in nature in the form of shells and the shape of hurricanes.

photo essay about mathematics

Fractals in Nature:

Fractals are another intriguing mathematical shape that we seen in nature. A fractal is a self-similar, repeating shape, meaning the same basic shape is seen again and again in the shape itself.

In other words, if you were to zoom way in or zoom way out, the same shape is seen throughout.

photo essay about mathematics

Fractals make up many aspects of our world, included the leaves of ferns, tree branches, the branching of neurons in our brain, and coastlines.

Learn more about fractals and how we see and apply them in our world today at the Fractal Foundation .

Hexagons in Nature:

Another of nature’s geometric wonders is the hexagon. A regular hexagon has 6 sides of equal length, and this shape is seen again and again in the world around us.

The most common example of nature using hexagons is in a bee hive.

photo essay about mathematics

Bees build their hive using a tessellation of hexagons. But did you know that every snowflake is also in the shape of a hexagon?

photo essay about mathematics

We also see hexagons in the bubbles that make up a raft bubble. Although we usually think of bubbles as round, when many bubbles get pushed together on the surface of water, they take the shape of hexagons.

Concentric Circles in Nature:

Another common shape in nature is a set of concentric circles. Concentric means the circles all share the same center, but have different radii. This means the circles are all different sizes, one inside the other.

A common example is in the ripples of a pond when something hits the surface of the water. But we also see concentric circles in the layers of an onion and the rings of trees that form as it grows and ages.

photo essay about mathematics

If you live near woods, you might go looking for a fallen tree to count the rings, or look for an orb spider web, which is built with nearly perfect concentric circles.

Math in Outer Space:

Moving away from planet earth, we can also see many of these same mathematical features in outer space.

photo essay about mathematics

For instance, the shape of our galaxy is a Fibonacci spiral. The planets orbit the sun on paths that are concentric. We also see concentric circles in the rings of Saturn.

But we also see a unique symmetry in outer space that is unique (as far as scientists can tell) and that is the symmetry between the earth, moon and sun that makes a solar eclipse possible.

Every two years, the moon passes between the sun and the earth in such a way that it appears to completely cover the sun. But how is this possible when the moon is so much smaller than the sun?

Because of math.

You see, the moon is approximately 400 times smaller than the sun, but it is also approximately 400 times further away.

This symmetry allows for a total solar eclipse that doesn’t seem to happen on any other planet.

Isn’t nature amazing??

photo essay about mathematics

Want to know even more about these topics and explore them more deeply with your kids? Try my math enrichment curriculum: Math in Nature .

See what your kids will explore in this short video:

This curriculum, designed for grades 3-6 , provides hands on lessons to look at math in the real world and also practice important math skills.

It includes picture book lists for each topic, a detailed teacher manual , student handouts for the lessons, ‘fun fact’ summary pages and a list of math art projects to go along with each theme.

photo essay about mathematics

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I also encourage you to grab the FREE set of math in nature posters to show your kids math in the real world. Use these to decorate your math space and invite discussions and excitement about the beauty of math.

photo essay about mathematics

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I hope this gives you some fun new math ideas to learn and explore along with your kids!

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Math Essay Ideas for Students: Exploring Mathematical Concepts

Are you a student who's been tasked with writing a math essay? Don't fret! While math may seem like an abstract and daunting subject, it's actually full of fascinating concepts waiting to be explored. In this article, we'll delve into some exciting math essay ideas that will not only pique your interest but also impress your teachers. So grab your pens and calculators, and let's dive into the world of mathematics!

  • The Beauty of Fibonacci Sequence

Have you ever wondered why sunflowers, pinecones, and even galaxies exhibit a mesmerizing spiral pattern? It's all thanks to the Fibonacci sequence! Explore the origin, properties, and real-world applications of this remarkable mathematical sequence. Discuss how it manifests in nature, art, and even financial markets. Unveil the hidden beauty behind these numbers and show how they shape the world around us.

  • The Mathematics of Music

Did you know that music and mathematics go hand in hand? Dive into the relationship between these two seemingly unrelated fields and develop your writing skills . Explore the connection between harmonics, frequencies, and mathematical ratios. Analyze how musical scales are constructed and why certain combinations of notes create pleasant melodies while others may sound dissonant. Explore the fascinating world where numbers and melodies intertwine.

  • The Geometry of Architecture

Architects have been using mathematical principles for centuries to create awe-inspiring structures. Explore the geometric concepts that underpin iconic architectural designs. From the symmetry of the Parthenon to the intricate tessellations in Islamic art, mathematics plays a crucial role in creating visually stunning buildings. Discuss the mathematical principles architects employ and how they enhance the functionality and aesthetics of their designs.

  • Fractals: Nature's Infinite Complexity

Step into the mesmerizing world of fractals, where infinite complexity arises from simple patterns. Did you know that the famous Mandelbrot set , a classic example of a fractal, has been studied extensively and generated using computers? In fact, it is estimated that the Mandelbrot set requires billions of calculations to generate just a single image! This showcases the computational power and mathematical precision involved in exploring the beauty of fractal geometry.

Explore the beauty and intricacy of fractal geometry, from the famous Mandelbrot set to the Sierpinski triangle. Discuss the self-similarity and infinite iteration that define fractals and how they can be found in natural phenomena such as coastlines, clouds, and even in the structure of our lungs. Examine how fractal mathematics is applied in computer graphics, art, and the study of chaotic systems. Let the captivating world of fractals unfold before your eyes.

  • The Game Theory Revolution

Game theory isn't just about playing games; it's a powerful tool used in various fields, from economics to biology. Dive into the world of strategic decision-making and explore how game theory helps us understand human behavior and predict outcomes. Discuss in your essay classic games like The Prisoner's Dilemma and examine how mathematical models can shed light on complex social interactions. Explore the cutting-edge applications of game theory in diverse fields, such as cybersecurity and evolutionary biology. If you still have difficulties choosing an idea for a math essay, find a reliable expert online. Ask them to write me an essay or provide any other academic assistance with your math assignments.

  • Chaos Theory and the Butterfly Effect

While writing an essay, explore the fascinating world of chaos theory and how small changes can lead to big consequences. Discuss the famous Butterfly Effect and how it exemplifies the sensitive dependence on initial conditions. Delve into the mathematical principles behind chaotic systems and their applications in weather forecasting, population dynamics, and cryptography. Unravel the hidden order within apparent randomness and showcase the far-reaching implications of chaos theory.

  • The Mathematics Behind Cryptography

In an increasingly digital world, cryptography plays a vital role in ensuring secure communication and data protection. Did you know that the global cybersecurity market is projected to reach a staggering $248.26 billion by 2023? This statistic emphasizes the growing importance of cryptography in safeguarding sensitive information.

Explore the mathematical foundations of cryptography and how it allows for the creation of unbreakable codes and encryption algorithms. Discuss the concepts of prime numbers, modular arithmetic, and public-key cryptography. Delve into the fascinating history of cryptography, from ancient times to modern-day encryption methods. In your essay, highlight the importance of mathematics in safeguarding sensitive information and the ongoing challenges faced by cryptographers.

General Education

Writing a math essay doesn't have to be a daunting task. By choosing a captivating topic and exploring the various mathematical concepts, you can turn your essay into a fascinating journey of discovery. Whether you're uncovering the beauty of the Fibonacci sequence, exploring the mathematical underpinnings of music, or delving into the game theory revolution, there's a world of possibilities waiting to be explored. So embrace the power of mathematics and let your creativity shine through your words!

Remember, these are just a few math essay ideas to get you started. Feel free to explore other mathematical concepts that ignite your curiosity. The world of mathematics is vast, and each concept has its own unique story to tell. So go ahead, unleash your inner mathematician, and embark on an exciting journey through the captivating realm of mathematical ideas!

Tobi Columb, a math expert, is a dedicated educator and explorer. He is deeply fascinated by the infinite possibilities of mathematics. Tobi's mission is to equip his students with the tools needed to excel in the realm of numbers. He also advocates for the benefits of a gluten-free lifestyle for students and people of all ages. Join Tobi on his transformative journey of mathematical mastery and holistic well-being.

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Advice for an Unforgettable Photo Essay

Six steps for turning your images into a memorable photo essay, from curating your best work to crafting a title.

taylor_dorrell_cuba_photo_essay

A man sits alone on a chair on the side of the road. We see him from above, surrounded by grey cobblestones neatly placed, a broken plastic chair, and some pylons scattered along the curb. A street cat wanders out of the frame and away from the man. He appears lonely, the only person inhabiting the place in which he seems so comfortably seated. As the eye wanders throughout the frame, however, the viewer discovers more: a vast city cast beyond the street and behind the man’s chair. This image closes Sarah Pannell’s photo essay Sehir , a quiet study of urban life.

Possibilities, discovery, and stories: these are some of the most effective elements of a photo essay. Collections of images can help produce a narrative, evoke emotion, and guide the viewer through one or more perspectives. A well-executed photo essay doesn’t rely on a title or any prior knowledge of its creator; it narrates on its own, moving viewers through sensations, lessons, and reactions.

Famous photo essays like Country Doctor by W. Eugene Smith or Gordon Parks’ The Harlem Family are acclaimed for showing a glimpse into the lives of the sick and impoverished. Other well-made photo essays offer a new way to look at the everyday, such as Peter Funch’s much-reposted photo series 42nd and Vanderbilt , for which Funch photographed the same street corner for nine years. As shown by these photographers’ experiences with the medium, a collection of photos can enliven spaces and attitudes. Strong photo essays can give voice to marginalized individuals and shine a spotlight on previously overlooked experiences.

You don’t necessarily need to be a documentary photographer to create a powerful photo essay. Photo essays can showcase any topic, from nature photography to portraiture to wedding shots. We spoke to a few photographers to get their perspectives on what makes a good photo essay, and their tips for how any photographer can get started in this medium. Here are six steps to follow to create a photo essay that tells a memorable story.

Choose a specific topic or theme for your photo essay.

There are two types of photo essays: the narrative and the thematic. Narrative photo essays focus on a story you’re telling the viewer, while thematic photo essays speak to a specific subject.

The most natural method for choosing a topic or theme for your photo essay is to go with what you know. Photograph what you experience. Whether that includes people, objects, or the things you think about throughout the day, accessibility is key here. Common topics or concepts to start with are emotions (depicting sadness or happiness) or experiences (everyday life, city living).

For photographer Sharon Pannen , planning a photo essay is as simple as “picking out a subject you find interesting or you want to make a statement about.”

sharon_pannen_photo_essay

From Paper & Stories , a photo series by Sharon Pannen for Schön! Magazine.

Consider your photo subjects.

The subjects of your photographs, whether human or not, will fill the space of your photos and influence the mood or idea you’re trying to depict. The subject can determine whether or not your photos are considered interesting. “I always try to find someone that catches my eye. I especially like to see how the light falls on their face and how a certain aesthetic might add to their persona,” says photographer Victoria Wojtan .

While subjects and their interest factor are, well, subjective, when considering your subjects, you should ask yourself about your audience. Do other people want to see this? Is my subject representative of the larger idea my photo essay is trying to convey? Your projects can involve people you know or people you’ve only just met.

“Most projects I work on involve shooting portraits of strangers, so there’s always a tension in approaching someone for a portrait,” says photographer Taylor Dorrell . For Wojtan, that tension can help build trust with a subject and actually leads to more natural images “If there’s tension it’s usually because the person’s new to being photographed by someone for something that’s outside of a candid moment or selfie, and they need guidance for posing. This gives me the opportunity to make them feel more comfortable and let them be themselves. I tend to have a certain idea in mind, but try to allow for organic moments to happen.”

Aim for a variety of images.

Depending on your theme, there are a few types of photos you’ll want to use to anchor your essay. One or two lead photos should slowly introduce the viewer to your topic. These initial photos will function in a similar way to the introductory paragraph in a written essay or news article.

From there, you should consider further developing your narrative by introducing elements like portraiture, close ups, detail shots, and a carefully selected final photo to leave the viewer with the feeling you set out to produce in your photos. Consider your opening and closing images to be the most important elements of your photo essay, and choose them accordingly. You want your first images to hook the viewer, and you also want your final images to leave a lasting impression and perhaps offer a conclusion to the narrative you’ve developed.

Including different types of photos, shot at different ranges, angles, and perspectives, can help engage your viewer and add more texture to your series.

Says photographer Taylor Dorrell: “After I have a group of images, I tend to think about color, composition, the order the images were taken, the subject material, and relevance to the concept.”

Photo_Essay_Taylor_Dorrell

From Taylor Dorrell’s photo essay White Fences : “White Fences is an ongoing photo series that explores the theme of suburban youth in the United States, specifically in the midwest suburb New Albany, Ohio.”

Put your emotions aside.

Self-doubt can easily come into play when working with your own photography. The adage that we are our own worst critics is often true. It can be difficult to objectively select your strongest images when creating a photo essay. This is why putting together photo essays is such a useful practice for developing your curatorial skills.

“The most important part for me is getting outside opinions. I don’t do that enough, and have a bias in selecting images that might not be the most powerful images or the most effective sequence of images,” says Dorrell. Your own perception of a photograph can cloud your ability to judge whether or not it adds to your photo essay. This is especially true when your essay deals with personal subjects. For example, a photo essay about your family may be hard to evaluate, as your own feelings about family members will impact how you take and view the photos. This is where getting feedback from peers can be invaluable to producing a strong series.

Collecting feedback while putting your photo essay together can help you determine the strengths, weaknesses, and gaps within the collection of photos you’ve produced. Ask your friends to tell you their favorites, why they like them, and what they think you’re going for in the work you’ve created. Their opinions can be your guide, not just your own emotions.

Edit your photo selection.

Beyond post-production, the series of photos you select as your essay will determine whether you’ve executed your theme or narrative effectively. Can the photos stand alone, without written words, and tell the story you set out to? Do they make sense together, in a logical sequence? The perfect photo essay will give your audience a full picture of the narrative, theme, or essence you’re looking to capture.

A good method to use to cull your images down is to remove as many as half of your images straight away to see if your narrative is still as strong with fewer photos. Or, perhaps, deciding on a small number you’d like to aim for (maybe just five to ten images) and using this as a method to narrow down to the images that tell your story best.

Taylor_Dorrell_Photo_Essay

From Taylor Dorrell’s photo essay Over the Rhine , featured in Vice.

Give your photo essay a title, and add a concise written statement.

Finally, you’ll want to create a title and written statement for your photo essay. This will help position your work and can enable the viewer to fully understand your intention, or at least guide their perspective.

A solid written statement and title will be relevant to your topic, detail your primary objective, and introduce your point of view. It’s an opportunity to clarify your intentions to the viewer and ensure they walk away with a clear interpretation of your work. Depending on your photo essay, you may want to include several paragraphs of text, but even just one or two sentences of background can be enough to expand the viewer’s understanding of your work.

Consider if you’d like to add the written statement at the beginning of your essay to introduce it, or at the end as a conclusion. Either one can be impactful, and it depends how you’d like people to experience your work.

For his photo essay White Fences, excerpted above, Taylor Dorrell wrote only one sentence of introduction. But for his series Over the Rhine, Dorell included a longer written statement to accompany the work, which is “an ongoing photo series that seeks to explore the Cincinnati neighborhood of the same name and its surroundings. The series was started in response to the shooting of Samuel DuBose, an unarmed black man, by officer Ray Tensing of the University of Cincinnati Police, which happened July 19th, 2015.” Dorell’s text goes on to offer more background on the project, setting up the viewer with all the information they need to understand the context of the photo essay.

Depending on the motivations behind your photo essay and what sort of subject it depicts, a longer text may be necessary—or just a few words might be enough.

Looking for a place to share your photo essays with the world? Take a look at our guide to creating a photography website for tips on showcasing your photos online.

Cover image by Taylor Dorrell, from his photo essay Hurricane Over Sugar .

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National Museum of the American Indian - Smithsonian

Developing Stories: Native Photographers in the Field is a series of three photo essays created by Native photojournalists Donovan Quintero, Tailyr Irvine, and Russel Albert Daniels in collaboration with the Smithsonian’s National Museum of the American Indian. These photographers share the same desires: to break down stereotypes of Native peoples and to portray the diversity and complexity of their contemporary lives.

Each photographer explores an issue that is of deep personal interest to them and touches the lives of Native people in a specific community. Their essays feature poignant and compelling photography. Together, they provide thought-provoking insights into contemporary Native life and nuanced perspectives on an American experience that is largely invisible to mainstream society.

photo essay about mathematics

VIEW PHOTO ESSAY

Donovan Quintero’s photo essay reveals how the COVID-19 pandemic has impacted the Navajo Nation since its outbreak. His photographs capture how individuals, families, health care workers, and officials have responded to the pandemic.

photo essay about mathematics

Tailyr Irvine’s photo essay delves into the legacy of U.S. government regulations impacting Native Americans’ most personal decisions, including with whom they have children. These decisions affect young adults and their families.

photo essay about mathematics

Russel Albert Daniels’ photo essay explores the historical complexities shaping a 266-year-old community’s sense of self. This Indigenous/Hispanic community’s genesis lies in violence, slavery—and survival.

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Essays and thoughts on mathematics

Many distinguished mathematicians, at some point of their career, collected their thoughts on mathematics (its aesthetic, purposes, methods, etc .) and on the work of a mathematician in written form.

For instance:

  • W. Thurston wrote the lovely essay On proof and progress in mathematics in response to an article by Jaffe and Quinn ; some points made there are also presented in an answer given on MathOverflow ( What's a mathematician to do? ).
  • More recently, T. Tao shared some personal thoughts and opinions on what makes "good quality mathematics" in What is good mathematics? .
  • G. Hardy wrote the famous little book A Mathematician's Apology , which influenced, at least to some extent, several generations of mathematicians.

Personally, I've been greatly inspired by the two writings listed under (1.) -- they are one of the main reasons why I started studying mathematics -- and, considering that one of them appeared on MathOverflow , I'd like to propose here -- if it is appropriate -- to create a " big-list " of the kind of works described in the above blockquote.

I'd suggest (again, if it is appropriate) to give one title (or link) per answer with a short summary.

  • A related question, which I've found very interesting, is Good papers/books/essays about the thought process behind mathematical research .
  • Only slightly related (but surely interesting): Which mathematicians have influenced you the most?
  • A single paper everyone should read? is not quite related, but still somewhat relevant (especially the most up-voted answer).
  • reference-request
  • soft-question
  • 1 $\begingroup$ Hardy's apology is available here: math.ualberta.ca/~mss/misc/A%20Mathematician%27s%20Apology.pdf $\endgroup$ –  Goldstern Commented Oct 5, 2015 at 15:33
  • $\begingroup$ This seems a little broad--can you be a bit more specific? I gave one answer, but do you want things like Dyson's "Birds and Frogs" or Gower's "Two cultures"? $\endgroup$ –  Kimball Commented Oct 5, 2015 at 22:29
  • $\begingroup$ @Kimball, first of all, thanks for your answer, the book you suggested seems very interesting. Then, yes, I've read both those articles and, although they didn't come to my mind when I asked the question, they are surely two very insightful additions to this list. Thanks again. :) $\endgroup$ –  user81051 Commented Oct 6, 2015 at 18:12

22 Answers 22

There are many snippets that can be found. I like the following bit of the foreword by Thurston to J. H. Hubbard's Teichmüller Theory . I share the remarks because I think you simply can't have enough of Bill Thurston's insights:

"Mathematics is a paradoxical, elusive subject, with the habit of appearing clear and straightforward, then zooming away and leaving us stranded in a blank haze. Why? It is easy to forget that mathematics is primarily a tool for human thought. Mathematical thought is far better defined and far more logical than everyday thought, and people can be fooled into thinking of mathematics as logical, formal, symbolic reasoning. But this is far from reality. Logic, formalization, and symbols can be very powerful tools for humans to use, but we are actually very poor at purely formal reasoning; computers are far better at formal computation and formal reasoning, but humans are far better mathematicians. The most important thing about mathematics is how it resides in the human brain. Mathematics is not something we sense directly: it lives in our imagination and we sense it only indirectly. The choices of how it flows in our brains are not standard and automatic, and can be very sensitive to cues and context. Our minds depend on many interconnected special-purpose but powerful modules. We allocate everyday tasks to these various modules instinctively and subconsciously. The term `geometry', for instance, refers to a pattern of processing within our brains related to our spatial and visual senses, more than it refers to a separate content area of mathematics. One illustration of this is the concept of correlation between two measurements on a set, which is formally nearly identical with the concept of cosine of the angle between two vectors. The content is almost the same (for correlation, you first project to a hyperplane before measuring the cosine of the angle), but the human psychology is very different. Each mode of thinking has its own power, and ideally, people harness both modes of thought to work together. However, in formalized expositions, this psychological > difference vanishes. In the same way, any idea in mathematics can be thought about in many different ways, with competing advantages. When mathematics is explained, formalized and written down, there is a strong tendency to favor symbolic modes of thought at the expense of everything else, because symbols are easier to write and more standardized than other modes of reasoning. But when mathematics loses its connection to our minds, it dissolves into a haze. I've loved to read all my life. I went to New College of Sarasota, Florida, a small college that was just starting up with a strong emphasis on independent study, so I ended up learning a good deal of mathematics by reading mathematics books. At that time, I prided myself in reading quickly. I was really amazed by my first encounters with serious mathematics textbooks. I was very interested and impressed by the quality of the reasoning, but it was quite hard to stay alert and focused. After a few experiences of reading a few pages only to discover that I really had no idea what I'd just read, I learned to drink lots of coffee, slow way down, and accept that I needed to read these books at 1/10th or 1/50th standard reading speed, pay attention to every single word and backtrack to look up all the obscure numbers of equations and theorems in order to follow the arguments. Even so, when something was ``left to the reader'', I generally left it as well. At the time, I could appreciate that the mathematics was an impressive intellectual edifice, and I could follow the steps of proofs. I assumed that such an elaborate buildup must be leading to a fantastic denouement, which I eagerly awaited -- and waited, and waited. It was only much later, after much of the mathematics I had studied had come alive for me that I came to appreciate how ineffective and denatured the standard ((definition theorem proof)^n remark)^m style is for communicating mathematics. When I reread some of these early texts, I was stunned by how well their formalism and indirection hid the motivation, the intuition and the multiple ways to think about their subjects: they were unwelcoming to the full human mind. John Hubbard approaches mathematics with his whole mind. If you page through the current book, you will see many intriguing figures. That is a first sign: figures are one of the most important ways to keep our thought processes going in our whole brains, rather than settling down into the linguistic, symbol-handling areas. Of course, the figures in your imagination are even more important. Geometric ideas can be conveyed with words and with symbols, sometimes more effectively than with pictures, but a lack of figures is a good indication of a lack of geometry. Another important part of human thinking is the emotional aspect. In mathematics, what is intriguing, puzzling, interesting, surprising, boring, tedious, exciting is crucial; they are not incidental, they shape how we think. Personally, my thinking was shaped by boredom: I develop intense urges to come up with `easy' methods in order to avoid tedious computations that are opaque to me. Hubbard, a principal participant in the mathematics he is discussing, has done an excellent job in conveying the drama."

There are also many very good interviews that can be found, such as this one with Connes , as well as the advice to young mathematicians in the Princeton Companion to Mathematics .

A Mathematician's lament by Paul Lockhart: Reflections on how badly mathematics are taught these days. Imagining how it would be if music was taught the same way.

Indiscrete Thoughts by Gian-Carlo Rota and Discrete Thoughts by Kac, Rota, and Schwartz.

Proofs and Refutations: The Logic of Mathematical Discovery by Imre Lakatos: The sequence of steps through which mathematical ideas can be made to grow in an informal setting is explained through Socratic dialogues between a teacher and students. A beautiful read.

Since you mentioned A Mathematician's Apology : Michael Harris' Mathematics Without Apology .

Here's an excerpt explaining the title:

These attempts at justifications are the 'apologies' of the title. They usually take one of three forms. Pure research in mathematics as in other fields is good because it often leads to useful consequences (Steven Shapin calls this the Golden Goose argument); it is true because it offers a privileged access to certain truths; it is beautiful , an art form. To claim that these virtues are present in mathematics is not wrong, but it sheds little light on what is distinctively mathematical and even less about pure mathematicians' intentions . Intentions lie at the core of this book. I want to give the reader a sense of the mathematical life -- what it feels like to be a mathematician in a society of mathematicians where the first and second lives overlap.

Love and Math: The Heart of Hidden Reality by Edward Frenkel is, in my opinion, a lot better than Lockhart's lament.

The Mathematical Experience by Philip J. Davis and Reuben Hersh is a wonderful collection of essays on mathematics and on the experiences and culture of mathematicians. Written back in the 1980's, it has extremely insightful discussions of many of the same topics that nowadays are discussed on MO. For example, the essay "The Ideal Mathematician," which describes a hypothetical "ideal" mathematician working on the made-up area of "non-Riemannian hypersquares" is absolutely hilarious. Highly recommended!

  • 1 $\begingroup$ The "Ideal Mathematician" is, to my mind, a poor mathematician. (It was a caricature, yes, but one which was a little too extreme for me.) $\endgroup$ –  Todd Trimble ♦ Commented Oct 5, 2015 at 16:29
  • 1 $\begingroup$ @ToddTrimble, I disliked it too. For myself, the more bearing what I'm working on has on undergraduate or even high-school mathematics, the more excited I am about it. $\endgroup$ –  goblin GONE Commented Aug 23, 2016 at 14:55

Mathematics as Metaphor by Yuri Manin (both the title of the linked book which is a collection of essays, as well as the title of one particular essay in there). At least some of the essays you can find online.

I Want to be a Mathematician , by Paul Halmos.

  • $\begingroup$ Indeed I love that book. Thanks for adding it. $\endgroup$ –  user81051 Commented Oct 6, 2015 at 18:13

Eugene Wigner: The Unreasonable Effectiveness of Mathematics in the Natural Sciences

The statement that the laws of nature are written in the language of mathematics was probably made three hundred years ago [It is attributed to Galileo]. It is now more true than ever before … Surely complex numbers are far from natural or simple and they cannot be suggested by physical observations. Furthermore, the use of complex numbers is close to being a necessity in the formulation of the laws of quantum mechanics. It is difficult to avoid the impression that a miracle confronts us here , quite comparable in its striking nature to the miracle that the human mind can string a thousand arguments together without getting itself into contradictions, or to the two miracles of the existence of laws of nature and of the human mind’s capacity to divine them. The closest explanation [for this mathematical universe] is Einstein’s statement that “the only physical theories which we are willing to accept are the beautiful ones” … the concepts of mathematics have this quality of beauty.
  • 2 $\begingroup$ I have to disagree. Wigner's assertion that "mathematics is the science of skillful operations with concepts and rules invented just for this purpose" is the whole basis of his piece, and it doesn't have much to do with mathematics. The article is quasi-religious speculation based on this false premise. (The example that Wigner opens the article with is a case in point - he marvels at the appearance of $\sqrt{\pi}$ in the pdf for the normal distribution, as if this were magic. But probability theory was developed with very practical applications in mind.) $\endgroup$ –  Paul Levy Commented May 23, 2017 at 9:31

A Drifter of Dadaist Persuasion by Matilde Marcolli, published in Art in the Life of Mathematicians (Edited by Anna Kepes Szemerédi) American Mathematical Society, 2015, pp.210-231

The Psychology of Invention in the Mathematical Field (Jacques Hadamard's 1945 essay)

  • $\begingroup$ This book was very influential to me, and made a huge difference in helping me understand m own process of doing mathematics. $\endgroup$ –  Zach H Commented Jul 17, 2017 at 17:13
  • $\begingroup$ I love "the Poincare-Hadamard metaphor" described there! It says that our thoughts conscious and unconscious ones and their interactions could be explained via a mechanical model of states of a system of particles(the details inside). Very inspiring and still I haven't found an enough obstruction to the presented point of view there to the modern neuroscience, but I do not know much about it. An expertise needed! :) $\endgroup$ –  P. Grabowski Commented Apr 14, 2020 at 18:42

The Mathematician by John Von Neumannn.

Enigmas of Chance , by Mark Kac.

I would add "Letters to a Young Mathematician" by Ian Stewart

I recommend:

Vladimir Arnold: Yesterday and Long Ago . This is a very enjoyable and highly interesting collection of anecdotes and historical remarks. The latest Russian edition of this book contains some more chapters. Richard Hamming: You and Your Research , transcribed and edited by J F Kaiser, reprinted in Tveito et al: Simula Research Laboratory . This is the text of a lecture of Hamming.

Birth of a Theorem , by French candidate for Parliament Cédric Villani

  • 4 $\begingroup$ Now French member of Parliament Cédric Villani. $\endgroup$ –  Michael Lugo Commented Jul 17, 2017 at 15:16

Here are additional mathematicians' thoughts.

S. Ulam, Adventures of a mathematician .A recollection of his life, from Lwow to Los Alamos. I am linking to excerpts. The book is still available for purchase.

Advices to a Young mathematician , a collection of advice and anecdotes by M. Atiyah, B. Bollobas, A. Connes, D. McDuff and P. Sarnak.

A. Borel, Art and science (Math. Intelligencer vol.5 1983, translation from German). A text for a general audience about the relationship between art and mathematics.

R. P. Langlands Is there beauty in mathematical theories? , this text is actually about number theory, old and new.

T. Gowers The two cultures of mathematics , another take on the dichotomy between problem solving and theory building.

A. Connes A view of mathematics , a thorough exposition of A. Connes'philosophical stance about space and physics. Targeted at a scientific audience.

D. Mumford, the dawning of the age of stochasticity , from algebraic geometry to statistics.

Y. Manin, Interrelations between Mathematics and Physics , on the divergence between mathematics and physics in the XXe century.

M. Gromov, ergobrain , one of the most surprising inquiry about life and mathematics.

I end that list with a text from a french mathematician about the future of mathematics: Poincare, l'avenir des mathematiques .

Perhaps a little broader in range/scope than the original question intended — but then again, perhaps not — the essays collected in

Mathématiques, mathematiciens et société. Publications Mathématiques d'Orsay no. 86 74-16 (1974)

I was led to this when someone somewhere posted a link to Vergne's Témoignage d'une mathématicienne , which is one of the essays in this volume, and — I must confess — is the only one I've read, although the other ones do look interesting

In the Princeton Companion to Mathematics , there is a section entitled Advice to a Young Mathematician (pdf), containing essays by Atiyah, Bollobás, Connes, McDuff and Sarnak.

A Mathematician's Miscellany (reprinted, with additional material, as Littlewood's Miscellany by CUP in 1986) is worthwhile reading.

Clifford Truesdell published a series of essays as An Idiot's Fugitive Essays on Science Methods, Criticism, Training, Circumstances (Springer, 1984), which sets out in a forthright manner the author's views on mathematics and science.

A really nice article by Andrei Toom about mathematical education, especially in the US, got recently mentioned in a comment to this question.

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There are 10,000 athletes at the Paris Games, spread across 32 sports. In the space of 19 days, that field has to be whittled down to just 329 gold medals. So, ultimately, someone has to go out first. Here’s what it’s like to go first.

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