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Get step-by-step solutions with MathGPT

Upload a screenshot or picture of your question and get instant help from your personal ai math tutor.

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The Must-Have Math AI & Calculator for Students

Don't stress over math for another minute. Instantly get step-by-step solutions to all types of math problems. Try our math solver for free.

Instantly Solve Math Problems with Our Math AI Tool

Stop searching for math answers in the back of the textbook. Mathful's math solver shows you how to get there yourself. Type or upload a photo of any math question, and we will provide the full working out, so you can learn as you go.

Cutting-Edge Photo Math Solver that Outshines ChatGPT

Our photo math solver can instantly scan image uploads of math problems to provide step-by-step solutions with unmatched accuracy and precision, making it a far more powerful alternative to conversational AI tools like ChatGPT.

Key Features of Our Powerful Math AI Solver

98% Accurate

Our AI math solver provides step-by-step math answers with an unparalleled level of precision, ensuring accurate solutions for your math problems.

Forget about expensive math tutors our AI math solver helps you or your children solve math problems for free in one click. Save money while getting accurate solutions.

10+ Math Branches Covered

Our AI math problem solver helps you effortlessly handle questions in various mathematical subjects, including algebra, calculus, geometry, and more.

24/7 Solutions

Get detailed, step-by-step mathematical explanations 24/7 from our AI math problem solver. Master math effortlessly online.

Quick & Precise Math Calculator With Steps

Using advanced AI algorithms, our step-by-step math calculator can process complex math problems to generate accurate and detailed solutions in seconds. They include:

• Basic arithmetic operations
• Trigonometric functions
• Linear and quadratic equations
• Derivatives and integrals
• Matrix operations
• And so much more!

3 Simple Steps to Use Our Math Solver & Calculator

Have trouble with a math problem or just want to check your work? Our math AI is ready to help. Here's how:

Input Your Math Problem

Type the math problem into the input box or upload an image of the math problem. Alternatively, input the problem into our math calculator.

Let Mathful Formulate a Solution

Our math AI or math calculator will work to generate a detailed, accurate solution to your math problem.

Get Math Answer Instantly

Nearly instantly you'll receive the step-by-step answer to your math problem so you can actually learn.

What is Math AI?

Math AI tools like Mathful are designed to assist users in solving mathematical problems, equations, and calculations. We utilize machine learning algorithms and natural language processing to interpret user input, perform complex computations, and provide step-by-step solutions.

Math AI can be beneficial for students, researchers, and professionals who require assistance in understanding and solving mathematical problems efficiently.

Can a math AI help me improve my math grades in school?

Certainly! A math solver like Mathful can significantly boost your math grade by offering round-the-clock access to step-by-step solutions across a wide array of math topics, from algebra to calculus.

Does this math AI tool cover all types of math?

Yes, Mathful is capable of tackling any type of math question, from arithmetic and geometry to algebra and number theory.

How long does it take for the math AI solver to get an answer to my math question?

Once you submit your math problem, Mathful will quickly formulate the correct answer and generate a solution almost instantly.

Can I try the Mathful AI math solver for free?

Yes, the Mathful AI math problem solver is free to try. Cost-friendly subscriptions are available to ask even more math questions.

Is the math solver and math calculator accurate?

Yes, the math solver and step-by-step math calculator provided by Mathful are designed to deliver highly accurate results. Utilizing advanced AI algorithms, these tools process and solve a vast range of math problems with precision.

Is the math AI and math calculator safe to use?

Yes, our math solver and step-by-step math calculator use encrypted transmissions, and your personal information is never stored or shared. It was created with your privacy and safety in mind.

Why should I use a photo math solver?

By using a photo math solver, you can simply take a photo of a math problem. No more need to type out complex equations or search for similar examples online. It's an instant way to begin tackling your math homework or study questions.

What problems can I solve with a math calculator?

With a math calculator from Mathful, you can solve a broad spectrum of mathematical problems across various domains, including basic arithmetic operations, algebraic equations, and geometry calculations to more complex calculus derivatives and integrals.

Solve Math Problems Easily with Our Math Solver & Math Calculator

Get instant, accurate answers to your math problems and boost your math grade. Try our AI math problem solver and math calculator with steps for free today.

• AI-Enhanced
• Ask Estella AI

Powered by ChatGPT

100% FREE TO USE

Usable Math

(formerly 4mality), math learning through problem solving and design.

Usable Math provides interactive problem solving practice for 3rd through 6th grade students learning mathematical reasoning and computation through creative writing, NoCode slideshow design, and human-AI collaboration.

• Arrow Right MATH MODULES

Math Friends

Featuring four coaches Estella Explainer, Chef Math Bear, How-to Hound, and Visual Vicuna who offer reading, computation, strategy, and visual strategies for solving math problems.

Estella Explainer

"I help children understand the language and meaning of questions using kid-friendly vocabulary."

Chef Math Bear

"I provide computational strategies (addition, subtraction, multiplication and division) for solving problems."

How-to-Hound

" I present strategic thinking clues (rounding, estimation, elimination of wrong answers). "

Visual Vicuna

" I offer ways to see problems and their solutions using animations, pictures, charts and graphs. "

The coaches annotate hints and provide feedback to help students with various levels of knowledge solve mathematical word problems using a wide range of strategies.

Math and ISTE Standards Based

Usable Math aims to teach mathematics concepts and problem solving skills based on the Massachusetts Mathematics Curriculum Framework and the Common Core State Standards for Mathematics. Usable Math supports ISTE Standards for Students : Empowered Learner (1.1), Knowledge Constructor (1.3), and Computational Thinker (1.5).

Open Education Resource

Usable Math is an open education resource project developed in the College of Education, University of Massachusetts Amherst. Usable Math received a 2023 classroom grant from MassCUE (Massachusetts Computer Using Educators) . An initial version called 4mality was developed with funding support from the Verizon Foundation and a grant from the US Department of Education, Institute of Education (IES).

BROWSE MATH MODULES

Storywriting, history, and science modules, a sydney-the-statistician data analysis adventure, math & statistics, a tai-the-math historian time travel adventure, math & history, ai-enhanced, a sofia-the-forester adventure, math & storywriting, a jenny-the-fisher math and citizen scientist adventure, math & science, math problem-solving and design modules, area and perimeter, total problems: 6.

Total problems: 8

Multiplication and Division

Algebraic Thinking

Add & take away: how many more.

Add & Take Away: Find Totals

Geometry: Lines and Lines of Symmetry

Geometry: Maps + Grids + Ordered Pairs

Charts & graphs, total problems: 10.

Geometry: Figures, Shapes and Angles

Total problems: 7.

Total problems: 11

Place Value

Total problems: 14.

Total problems: 9

Total problems: 5

Measurement

More coming soon, ai-enhanced learning, introducing ai-enhanced math comprehension with estella explainer math bot 2, a gpt4-powered tool designed to revolutionize how elementary school students understand math word problems., free to use. a free chatgpt account is required..

Empowering Math Educators

A Reading and Language Coach: A Reading and Language Coach: Estella Bot assists teachers and tutors by providing simplified explanations of math word problems and vocabulary.

Fine-Tuning for Clarity: We have customized the bot to enhance young students' understanding of math problems through targeted fine-tuning.

Enhancing Student Understanding

Overcoming Challenges: Address the complexities of math word problems with Estella Bot’s support.

Step-by-Step Problem Solving: Inspired by George Polya’s methodology, Estella Bot helps students read and comprehend problems before solving them.

Applying the Feynman Technique: Estella Bot uses the Feynman Technique to simplify complex word problems for young learners, by breaking down complex math terms into easy-to-understand language.

Interactive Learning Partner

Natural Conversations: Engage in interactive, human-like conversations with Estella Bot to clarify and deepen math understanding.

Sample Dialogues: View examples of how Estella Bot simplifies math problems through clear and concise explanations.

Decision-Making Tool for Educators

Using the Decision Tree: Utilize the Estella Explainer AI Bot Decision Tree to guide teaching strategies and support student learning effectively (scroll down for the decision tree visual).

Best Practices for Using Estella Bot

Contextual Prompts: Provide specific educational context to receive the most accurate and helpful responses from Estella Bot.

Precision in Language: Use clear, concrete language in prompts for better bot responses.

Readability Metrics: Apply the Flesch-Kincaid Scale to ensure responses are easily understood by young learners.

Share Your Feedback

We value your input on the Estella Bot and the Usable Math platform. Please send your feedback to [email protected] , or use our contact form .

Supporting Students in Reading Math Word Problems

Challenges in Math Word Problems: Understand the common reading challenges faced by students.

Step-by-Step Problem Solving: Explore the step-by-step approach inspired by George Polya’s problem-solving techniques.

Applying the Feynman Technique: See how Estella Bot uses the Feynman Technique to simplify complex word problems for young learners.

Welcome to Usable Math. In this interactive website, you will find Learning Modules designed to develop mathematical problem solving skills among young learners in grades 3 to 6.

Our Modules explore standards-based math concepts including Fractions, Measurement, Geometry, Decimals, Money, and more. Usable Math is free to access using a computer, smartphone, or iPad.

What do we mean by Usable Math?

The word Usable can read as follows:

U Able meaning you can do math problem solving.

Us Able meaning together all of us can do math problem solving.

Usable meaning anyone is able to learn math problem solving - with practice, effort, and support.

What are the Usable Math Learning Modules?

Each learning module in Usable Math consists of a group of math word problems related to a specific mathematical concept. The problems are based on the Massachusetts Mathematics Curriculum Framework↗ as well as Common Core Standards↗ .

Each problem within a module consists of a question, three to four possible answer choices, and problem solving ideas and strategies provided by our four coaches: Estella Explainer, Chef Math Bear, How-to-Hound, and Visual Vicuna.

How are the Modules Displayed online?

Each module has been developed using Google Slides.

Click. Pause. Solve.

View each module in Slideshow.

How do teachers, students and families use each module?

We strive to make every module on Usable Math kid friendly . Clicking on a module from the selections on the Modules Homepage , each user controls what happens during the learning experience by clicking to open strategies and spending time thinking about them before answering the question. The goal is for students, by themselves, in small groups, or with a teacher, or a family member, to analyze and understand what the problem is asking them to solve before providing an answer.

A question appears without its answer choices or any problem solving strategies.

Click one time and Estella offers a problem solving strategy.

Click again and the Bear offers a different strategy.

Click again and the Hound presents a strategy.

Click again and the Vicuna has an additional strategy approach.

The next click gives the four answer choices, but not yet the correct answer.

The final click highlights the correct answer from among the answer choices.

Before going to the next problem, a motivational statement and gif appears offering encouragement to the users.

What is the purpose of the Motivational Statements between Problems?

Each motivational statement is intended to provide feedback and encouragement to students using the system. Following the insights of researchers into the use of praise and the development of growth mindsets in young learners, these motivational statements are designed to reward students’ effort, hard work, persistence, and belief in one’s self as a learner. We want youngsters to realize that they can learn anything with the right tools, the right beliefs, the right coaches, and their own work and practice.

Need more help? Or have a question?

Reach out to us and we will do our best to get back to you within 12 hours.

RESEARCH AND RESOURCES

We believe that every child deserves a strong foundation in mathematics. our platform is designed to provide engaging and effective math instruction to elementary school students, and we are proud to say that there is science behind the way we deliver this instruction..

UsableMath was formerly known as 4MALITY. As a result of our commitment to providing the best possible math instruction to elementary school students, we have rebranded our platform as UsableMath.com to better reflect our mission and approach to teaching mathematics.

Our platform is designed to provide engaging and effective math instruction to students in grades K-5, using a unique approach that emphasizes hands-on, problem-solving activities. We use interactive, multimedia elements such as videos, games, and simulations to help students understand key mathematical concepts and build a strong foundation of knowledge.

Math Coaches

The use of virtual coaches that provides students with personalized support and feedback, has become increasingly popular in the field of math education. Research has shown that learning companions can be effective in improving student engagement and motivation, as well as helping students to better understand mathematical concepts and build a stronger foundation of knowledge. UsableMath employs the concept of learning companions to help students succeed in mathematics. Our virtual math coaches serve as personal guides, providing students with individualized support and feedback as they work through mathematical concepts and problems. These coaches, or learning companions, are designed to be like friends or mentors, helping students to build their confidence, overcome challenges, and achieve their full potential.

How are we using Generative AI to enhance Usable Math Modules?

As developers of Usable Math, we are aware of both the educational potentials and complexities of Generative AI technologies. In our system, ChatGPT is used to support teachers and other adults to expand and enhance how math can be understood and taught in schools and homes. When you click on the AI icon, you are linked to a blog where we have recorded how AI proposes to solve selected math word problems found in Usable Math modules in a side-by-side view next to the hints we have authored from the perspectives of our four math coaches: Estella Explainer, Chef Math Bear, How-to-Hound, and Visual Vicuna. Our hope is that our strategies along with the AI-developed strategies will give adults more ways to inspire math learning among students.

Look for this icon for AI-enhanced guides.

Prompts for ChatGPT, BingAI and Other Generative AI Tools

Estella Explainer Prompt:

Take the personality of a math coach who provides strategies for understanding language and meaning of questions using kid-friendly vocabulary. The coach’s motto is "My job is to explain the math questions clearly so you know what you are supposed to do to solve the problem. Sometimes there are unfamiliar or confusing terms in the question. I will help you understand what they mean. The first math problem is {replace math word problem here}

Chef Math Bear Prompt:

Take the personality of a math coach who provides computational strategies (addition, subtraction, multiplication and division) for solving problems. The coach’s motto is “I am here to make sure that you know how to do the math needed to answer these questions. Sometimes you need to do addition, subtraction, multiplication or division. Some questions ask you to use fractions, decimals, large numbers, and probability. When you need ideas for what to do, I am ready.

How-to-Hound Prompt:

Take the personality of a math coach who uses strategic thinking clues (rounding, estimation, elimination of wrong answers) to solve math problems. The coach’s motto is “Answering math questions means you need a plan and my role is to help you figure out different strategies for solving problems. Sometimes you can get the correct answer by crossing out the wrong answers; other times you can round numbers up or down to make figuring a problem easier. I know other strategies as well.

Visual Vicuna Prompt:

Take the personality of a math coach who offers ways to see problems and their solutions using animations, pictures, charts and graphs. The coach’s motto is “I find math is a lot clearer when I take the numbers and words and put them into pictures and drawings or move objects around so I can see how to answer a question. When you find yourself unsure about a question, see if one of my ideas will explain what to do.

Growth Mindset Statements

As education researchers, we understand the important role that a positive attitude and motivation play in learner success. That's why we’ve integrated the use of growth mindset and motivational cues in Usable Math. After every math challenge, students receive messages that encourage them to adopt a growth mindset, reinforcing the idea that with effort and persistence, they can improve their math skills and achieve success.

A sample motivational cue from the Fractions module.

Collaborative Problem Solving

We believe in the power of collaboration and teamwork when it comes to learning mathematics. Our platform creates a learning climate that promotes collaborative problem solving, providing students with opportunities to work together and explore mathematical concepts in a supportive and inclusive environment. Whether you are a student, teacher, or parent, we invite you to explore our platform and experience the science behind the way we deliver math instruction to elementary school students. Read more about our work on the Journal of STEM Education↗

Papers, Presentations and Blogs

UsableMath GenAI Prompts: Learn Math with Our Tailor-Made Prompts for ChatGPT, Claude, and other GenAI tools. Usable Math Blog. https://blog.usablemath.org/usablemath-genai-prompts .

Maloy, R. W. & Gattupalli, S. (2024). Prompt Literacy. EdTechnica: The Open Encyclopedia of Educational Technology . https://edtechbooks.org/encyclopedia/prompt_literacy

Gattupalli, S., & Maloy, R. W. (2024). On Human-Centered AI in Education. https://doi.org/10.7275/KXAP-FN13

Gattupalli, S., Edwards, S.A, Maloy, R. W., & Rancourt, M. (2023, October). Designing for Learning: Key Decisions for an Open Online Math Tutor for Elementary Students. Digital Experiences in Mathematics Education . https://doi.org/10.1007/s40751-023-00128-3 .

Gattupalli, S., Maloy, R.W., Edwards, S.A. & Gearty, A. (2023, August 23). Prompt Literacy for STEM Educators: Enhance Your Teaching and Learning with Generative AI. Berkshire Resources for Learning and Innovation (BRLI) Teaching with Technology Conference, Pittsfield, MA. ScholarWorks@UMass.

Blending Gardens and Geometry: Socio-cultural Approaches in Math Ed. Usable Math Blog. https://blog.usablemath.org/blending-gardens-and-geometry-socio-cultural-approaches-in-math-education .

Maloy, R. W., Gattupalli, S., & Edwards, S. A. (2023). Developing Usable Math Online Tutor for Elementary Math Learners with NoCode Tools . Scholarworks@UMass.

Gattupalli, S., Maloy, R. W., & Edwards, S. A. (2023). Prompt Literacy: A Pivotal Educational Skill in the Age of AI . Scholarworks@UMass.

Gattupalli, S., Maloy, R. W., & Edwards, S. (2023). Comparing Teacher-Written and AI-Generated Math Problem Solving Strategies for Elementary School Students: Implications for Classroom Learning . https://doi.org/10.7275/8sgx-xj08

Making Math Usable for Young Learners . Guest post on Rachelle Dené Poth's EdTech blog Learning as I go: Experiences, Reflections, Lessons Learned . January, 2023.

Math Learning Digital Choice Board (2020) . ScholarWorks, University of Massachusetts Amherst.

Maloy, R.W., Razzaq, L., & Edwards, S.A. (2014). Learning by Choosing: Fourth Graders Use of an Online Multimedia Tutoring System for Math Problem Solving . Journal of Interactive Learning Research , 25(1), 51-64.

Razzaq, L., Maloy, R. W., Edwards, S. A., Arroyo, I., & Woolf, B.P. (2011). “4MALITY: Coaching Students with Different Problem Solving Strategies Using an Online Tutoring System” (p. 359-364). In J. A. Konstan, Ricardo Conejo, Jose L, Marzo & Nuria Oliver, User Modeling, Adaptation and Personalization: 19th International Conference, UMAP 2011, Girona, Spain, July 11-15 Proceedings . Berlin: Springer Verlag.

Maloy, R.W., Edwards,S. A. & Anderson G. (2010, January-June). “Teaching Math Problem Solving Using a Web-based Tutoring System, Learning Games, and Students’ Writing .” Journal of STEM Education: Innovations and Research, 11 (1&2).

Edwards, S. A., Maloy, R.W., & Anderson G. (2010, February). “Classroom Characters Coach Students to Success.” Teaching Children Mathematics, 16 (6), 342-349.

Edwards, S. A., Maloy, R. W., & Anderson G. (2009, Summer). “Reading Coaching of Math Word Problems.” Literacy Coaching Clearinghouse . http://www.literacycoachingonline.org/briefs.html .

MEET OUR TEAM

Sharon Edwards , Ph.D.

Teacher Education & Curriculum Studies

College of Education, University of Massachusetts Amherst

Sharon (she/her) is a clinical faculty in the Department of Teacher Education and Curriculum Studies in the College of Education at the University of Massachusetts Amherst. Sharon is the big brains behind the development of Usable Math online math tutor.

Email : sae at umass dot edu

Robert Maloy , Ph.D.

Elementary Math and History

Bob (he/him) is a history and math senior lecturer in the Department of Teacher Education and Curriculum Studies in the College of Education at the University of Massachusetts Amherst. Bob is the creative math content creator and storytelling artist behind Usable Math.

Email : rwm at umass dot edu

Sai Gattupalli

Math, Science & Learning Technologies (MSLT)

Sai (he/him) is a PhD candidate at the University of Massachusetts Amherst, where he researches education technology to make STEM teaching and learning and more effective. Sai is passionate about understanding learner culture to create effective learning experiences. Email : sgattupalli at umass dot edu Website : gattupalli.com

Marguerite Rancourt

Lead Teacher, Discovery School at Four Corners

Greenfield, Massachusetts

Marguerite (she/her) teaches fourth grade at the Discovery School in addition to serving as Lead Teacher for the school. She has created and taught professional development workshop for other elementary school teachers. In 2018, she received the Pioneer Valley Excellence in Teaching Award. Students in her class have been contributing to the design of system throughout the 2022-2023 school year.

Aubrey Coyne

Math Content Designer and Reviewer

College of Education, Commonwealth Honors College, University of Massachusetts Amherst.

Aubrey Coyne (she/her) is a sophomore at the University of Massachusetts Amherst. She is a math tutor and is studying to be an elementary teacher. Aubrey is passionate about finding ways to make learning accessible and enjoyable for all students.

Graduate Student, Math and Digital Media Research Assistant

Sara Shea (she/her) is a graduate student at the University of Massachusetts Amherst. She is currently part of the university’s Collaborative Teacher Education Pathway program, working towards earning her master’s degree in elementary education.

Katie Allan

Math and Digital Media Research Assistant

Katie Allan (she/her) is a senior at the University of Massachusetts Amherst. She is a math major with a concentration in education and passionate about math education.

SUGGESTIONS AND FEEDBACK

We welcome ideas from teachers, students, and families about the usable math system..

Please complete our UsableMath Module Review and Feedback↗ form.

Your responses will help us to improve how the system works instructionally and technically. Let us know any additional thoughts about the problems, characters, hints, gifs, mindset statements and more.

Your message has been received. We will get back to you shortly. The average response time is approximately 6 hours.

Educationise

8 Free Math Problem Solving Websites and Applications

Learning Resources Minute Math Electronic Flash Card

Are you struggling with math problems and looking for a way to improve your math problem-solving skills? Look no further because these 8 free math problem-solving websites and applications will give you a detailed solution to any math problem!

Whether you’re a student, educator, or just someone who wants to sharpen their math skills, these resources offer a wealth of interactive tools and exercises to help you master everything from basic arithmetic to advanced calculus.

6 Websites Offering Free Math Worksheets for All Levels

Not only are these websites and applications easy to use, but they also provide a fun and engaging way to learn and practice math. With some of these tools you can even ask math questions and get answers for free.

Whether you are a teacher or a student, now you can avail online math problem-solving websites and smartphone applications to get the step-by-step answer to a complex problem. Teachers can even use these tools to develop math quizzes. With interactive games, video tutorials, and real-world examples, you’ll be able to put your math knowledge to the test and see real results in no time.

So what are you waiting for? Check out these 8 free math problem-solving websites and applications and start boosting your math skills today!

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In this article, we have compiled a list of 8 such resources that offer interactive tools and expert guidance to help you master math problem-solving and achieve success.

Mathway calculator is a smart math problem solver which gives you a step by step solution to a math problem. Just type your question and press enter to reveal a detailed answer to your math problem. This intelligent math problem solver, simplifies the process with step by step solutions. All it takes is a question input, and upon hitting enter, you unlock a detailed answer. This powerful tool is your key to conquering math challenges efficiently.

2. Photomath

It is a smartphone application which is also known as a camera calculator. All you have to do is take a picture of a math problem and upload it. This math app will scan the problem, solve it, and will display a detailed solution on your screen. Photomath, the renowned camera calculator app, makes math effortless. Snap a photo of your math problem, upload it, and watch as this math app scans, solves, and displays a comprehensive solution.

MathShark Electronic Math Game for Kids

The application efficiently scans, computes, and presents you with a meticulous, step-by-step solution, answering the ever-persistent question: “What is the answer to this math problem?” It’s a seamless way to navigate the world of mathematics, placing the solution at your fingertips.

3. Microsoft Math Solver

It is another popular website that solves math problems. From algebra and trigonometry to statistics and calculus, Microsoft math solver provides you a free platform where you can not only get detailed solutions to your questions, but also other supporting materials such as interactive graphs, relevant practice problems, and online videos.

Texas Instruments Best Seller Calculator

In addition to detailed answers, it equips you with valuable resources like interactive graphs, pertinent practice problems, and instructive online videos. It’s your gateway to a richer mathematical learning experience, combining the power of answers with educational support.

Cymath is a free application that gives a step by step solution to any math problem. This app does not give you the final answer only, rather the whole solution is broken down into steps for your understanding.

This math problem solver with steps empowers you to tackle math problems with ease, no matter where you are. Simply input your math problem, and let Cymath work its magic, providing you with a detailed solution broken down into manageable steps. No more math conundrums – Cymath has got your back!

5. Snapcalc

This math application that allows you to take a picture of a math problem, solves it intuitively, and displays answer on the screen. This app provides solutions to many math problems ranging from algebra to calculus. The best thing about this app is that it can recognize handwritten math problems too. Isn’t that cool?

Unlock the magic of having your own on-the-go math tutor available at your fingertips! With this revolutionary solution, you’ll never be left struggling with a math problem again. Simply snap a picture of the math problem you’re facing, and voila! You’ll receive a personalized step by step answer to a math problem along with a thorough explanation. It’s like having a math genius in your pocket, ready to assist you at any moment.

6. Quick Math

QuickMath is a popular website to solve math problems. It provides users with a variety of tools and resources to help them solve mathematical problems quickly and efficiently. From basic arithmetic to advanced calculus, QuickMath offers step-by-step solutions, interactive calculators , and practice exercises to assist users in mastering mathematical concepts.

Whether you’re a student looking for homework help or a professional needing to solve complex equations, QuickMath.com is a valuable online resource for all levels of mathematical proficiency.

7. Symbolab

Here is another amazing website that answers math problems. Symbolab is an online website that gives you detailed solutions to any math problem related to algebra, trigonometry, and calculus. It is an incredible online math solver that offers comprehensive solutions to a wide range of math problems.

Whether you’re a student seeking math homework help or an individual looking for math assistance, Symbolab is your go-to resource. This math help platform provides step-by-step answers and thorough explanations, making it easier for you to grasp complex math concepts. Say goodbye to math-related stress and hello to seamless problem-solving with Symbolab!

8. Chegg Math Solver

It gives you full-time access to an online math calculator or math solver where you can type any math question and get a detailed explanation along with the final answer. Chegg provides you with an excellent math solver online that can help to do your math homework effectively. It is a unique step-by-step math problem solver and calculator designed to enhance your comprehension of mathematical concepts.

With its instantaneous solutions, it empowers users to conquer problems in subjects like Pre-Calculus and beyond, making math learning more accessible and engaging.

Read our article: The Future of Education: 8 Predictions for the Next Decade

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Examples for

Mathematics

Wolfram|Alpha has broad knowledge and deep computational power when it comes to math. Whether it be arithmetic, algebra, calculus, differential equations or anything in between, Wolfram|Alpha is up to the challenge. Get help with math homework, solve specific math problems or find information on mathematical subjects and topics.

Do basic arithmetic. Work with fractions, percentages and similar fundamentals. Solve place value and word problems.

Do basic arithmetic:

Do exact arithmetic with fractions:.

Compute the properties of geometric objects of various kinds in 2, 3 or higher dimensions. Explore and apply ideas from many subfields of geometry.

Compute properties of a geometric figure:

Plot a conic section and identify its type:, compute properties of a polyhedron:.

Work with various kinds of numbers. Check for membership in larger sets, such as the rationals or the transcendental numbers. Convert between bases.

Compute a decimal approximation to a specified number of digits:

Convert a decimal number to another base:.

Analyze integers; subsets of the integers, including the prime numbers; and related ideas.

Compute a prime factorization:

Solve a diophantine equation:.

Perform numerical analysis and optimization of systems and objects, including packing and covering of objects and control systems.

Minimize or maximize a function:

Numerically integrate functions that cannot be integrated symbolically:.

Make queries about various definitions and descriptions in mathematics.

Find information about a math concept:

Get a brief definition:.

Compute properties of datasets, perform statistical inference or model data. Work with probability distributions and random variables.

Calculate basic descriptive statistics for a data set:

Find the sample size needed to estimate a binomial parameter:.

Find roots of and expand, factor or simplify mathematical expressions—everything from polynomials to fields and groups.

Solve an equation:

Factor a polynomial:, simplify an expression:.

Solve differential equations of any order. Examine solutions and plots of the solution families. Specify initial conditions to find exact solutions.

Solve a linear ordinary differential equation:

Specify initial values:, solve a nonlinear equation:.

Perform trigonometric calculations and explore properties of trigonometric functions and identities.

Compute values of trigonometric functions:

Solve a trigonometric equation:.

Explore sequences and recurrences, solve common problems in combinatorics and compute properties of graphs and lattices.

Compute a possible formula and continuation for a sequence:

Analyze a graph specified by adjacency rules:, solve a recurrence:.

Evaluate Boolean logic expressions and expressions involving sets and set operators. Solve Boolean equations. Compute truth tables. Generate Venn diagrams.

Compute a truth table:

Generate a venn diagram:.

Gather information about famous problems, conjectures, theorems and paradoxes. Learn about them and their formulators.

Get information about a mathematical conjecture:

Get historical information about a theorem:.

Compute the probabilities of certain events occurring. Compute joint, disjoint or conditional probabilities and apply them to real-world situations.

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• How do you find the derivative of #y=tan(3x)# ?
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• A triangle has corners at #(5 ,1 )#, #(2 ,9 )#, and #(4 ,3 )#. What is the area of the triangle's circumscribed circle?
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• A triangle has vertices A, B, and C. Vertex A has an angle of #pi/2 #, vertex B has an angle of #( pi)/3 #, and the triangle's area is #24 #. What is the area of the triangle's incircle?
• An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,1 )# to #(8 ,5 )# and the triangle's area is #27 #, what are the possible coordinates of the triangle's third corner?
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UP man missing for a decade found solving math problems on soil at Petrapole border

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In an unusual incident that took place at the Indo-Bangla Petrapole border, a man was seen solving mathematical problems on wet soil with a stick.

The locals in Petrapole Bazar noticed the man who is said to be in his early 40s in ragged clothes.

Upon noticing the man, the locals informed the police about him. The police found that the man named Amit Kumar Prasad originally belongs to Uttar Pradesh's Gorakhpur and was a mathematics teacher, as reported by The Times Of India .

The police also said that he has been missing for over a decade, and they helped him reunite with his family.

His father Gama Prasad said that Amit used to teach mathematics at school. The publication quoted Gama Prasad saying that Amit also taught students who belonged to poor families, free of cost.

"Besides teaching students at the school, my son taught mathematics to more than 250 students from poor families in at least five neighbouring villages, free of cost. His love for mathematics began during childhood and he started teaching early," his father said.

"Later he suffered from a mental ailment and went missing. We looked for him for years, all in vain. We never expected to see him alive after so many years," his father added.

The man was reunited with his family with the help of people of Ham Radio.

A Ham Radio operator told TOI that the locals asked him about his identity when they found him solving math problems on wet soil. However, he did not reply and went further away from them.

The man insisted the locals to leave him alone, after which they alerted the police.

Secretary of West Bengal Radio Club, Ambarish Nag Biswas told TOI that the police contacted them to help find the man's family.

"I spoke to the man and circulated his photo in the network of Ham radio operators across India to start the search for his family. Later we got in touch with his father," he said.

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Doctoral Dissertations and Projects

Examining the lived experiences of educators using different levels of support for teaching math to students with learning disabilities in math computation and problem-solving for teachers at public cyber charter high schools in the northeastern united states: a transcendental phenomenological study.

LeeAnn E. McCullough , Liberty University Follow

School of Education

Doctor of Philosophy in Education (PhD)

Mary Catherine Strickland

cognitive load theory, specific learning disability, math computation, math problem-solving, Sweller, learning theory

Disciplines

Mathematics | Special Education and Teaching

Recommended Citation

McCullough, LeeAnn E., "Examining the Lived Experiences of Educators Using Different Levels of Support for Teaching Math to Students with Learning Disabilities in Math Computation and Problem-Solving for Teachers at Public Cyber Charter High Schools in the Northeastern United States: A Transcendental Phenomenological Study" (2024). Doctoral Dissertations and Projects . 5880. https://digitalcommons.liberty.edu/doctoral/5880

The purpose of this transcendental phenomenological study was to describe the lived experiences of educators using different levels of support for teaching math to students with learning disabilities in math computation and problem-solving for teachers at public cyber charter high schools in the Northeastern United States. The theory guiding this study was Sweller’s cognitive load theory, as it explained the learning process of students with learning disabilities and how educators developed instructional methods that complement the learner’s needs. The central research question was, “What is the lived experience of 9-12th-grade mathematics teachers in supporting students with differing learning abilities in math computation and problem-solving?” This study design was based on the transcendental phenomenological methodology of Moustakas (1994). The participants included 12 high school cyber teachers of general and special education students with specific learning disabilities in math computation and math problem-solving. Data were gathered through a journal prompt, individual interviews, and focus groups. The data analysis identified trends in the data and highlighted the successes and failures of various approaches used in the classroom. Three themes emerged from the study: enhanced engagement and learning environment, cognitive load and assessment strategies, and supportive and inclusive instructional practices. This study uncovered educators' lived experiences using personalized instructional strategies, interactive and adaptive technology, and instructional design approaches to reduce learners’ cognitive load. This research provided insights into high school educators' experiences using these methods of teaching math in cyber classrooms to students with disabilities.

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• \mathrm{The\:sum\:of\:two\:numbers\:is\:249\:.\:Twice\:the\:larger\:number\:plus\:three\:times\:the\:smaller\:number\:is\:591\:.\:Find\:the\:numbers.}
• \mathrm{If\:2\:tacos\:and\:3\:drinks\:cost\:12\:and\:3\:tacos\:and\:2\:drinks\:cost\:13\:how\:much\:does\:a\:taco\:cost?}
• \mathrm{You\:deposit\:3000\:in\:an\:account\:earning\:2\%\:interest\:compounded\:monthly.\:How\:much\:will\:you\:have\:in\:the\:account\:in\:15\:years?}
• How do you solve word problems?
• To solve word problems start by reading the problem carefully and understanding what it's asking. Try underlining or highlighting key information, such as numbers and key words that indicate what operation is needed to perform. Translate the problem into mathematical expressions or equations, and use the information and equations generated to solve for the answer.
• How do you identify word problems in math?
• Word problems in math can be identified by the use of language that describes a situation or scenario. Word problems often use words and phrases which indicate that performing calculations is needed to find a solution. Additionally, word problems will often include specific information such as numbers, measurements, and units that needed to be used to solve the problem.
• Is there a calculator that can solve word problems?
• Symbolab is the best calculator for solving a wide range of word problems, including age problems, distance problems, cost problems, investments problems, number problems, and percent problems.
• What is an age problem?
• An age problem is a type of word problem in math that involves calculating the age of one or more people at a specific point in time. These problems often use phrases such as 'x years ago,' 'in y years,' or 'y years later,' which indicate that the problem is related to time and age.

word-problems-calculator

• High School Math Solutions – Inequalities Calculator, Exponential Inequalities Last post, we talked about how to solve logarithmic inequalities. This post, we will learn how to solve exponential...

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Quantum Computing Is Coming. Here’s What Needs To Happen First.

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In 1947, when Bell Labs created the transistor, we could never have imagined this invention would underpin the microprocessor, the internet, and the digital world as we know it. The same potential for life-changing innovation lies ahead in the quantum era.

Quantum computers will make it possible to solve many highly complex problems at extraordinary speed, potentially transforming entire industries. Even companies and governments that don’t directly use quantum computers will see benefits, from more effective medications to more environmentally sustainable construction materials.

These are only a few of the many exciting quantum computing applications we see on the horizon, and there are many more we have yet to discover. The pace of innovation is accelerating, and each challenge we address brings us closer to realizing its potential. As we innovate, we must also act in parallel to ensure a safe, prosperous quantum future for all.

What quantum makes possible

Quantum computers make use of the properties of quantum physics, which allow particles to exist in multiple states at once. This enables computers that use quantum particles to perform certain calculations exponentially faster than binary computers that are restricted to 1s, and 0s. A Quantum computer of sufficient size could solve a problem in hours to days that would take even the most powerful supercomputer of today centuries to solve.

Quantum computers are especially good at simulating highly complex systems, from those at a microscopic scale to massive global systems. For example, quantum computers could help develop new molecules faster, massively reducing trial and error and the associated costs of creating innovative new drugs or cleaner industrial chemical processes. At the other end of the scale, quantum computers could help optimize global networks, from shipping logistics to telecom deployment, making these systems dramatically more economically and environmentally sustainable. Today’s classical computers cannot solve these problems efficiently, whereas quantum computers give us new approaches to solve these problems more quickly and accurately.

While these types of practical applications are not yet possible with a quantum computer, astounding advances are being made every year. Pinpointing an exact timeframe is impossible, but at the current pace of progress, it is probable that large-scale quantum computers will be able to solve real industrial problems before the end of the 2030s.

The challenges facing quantum computers

To realize the practical solutions enabled by quantum computing, three primary challenges must first be solved. These relate to stability, entanglement, and scalability.

The quantum bit, or qubit, is the fundamental unit of quantum computing. But the hypersensitivity of quantum particles to small variations in environmental conditions makes qubits difficult to work with. The information encoded in current qubits is usually lost within a second or less, leading to error rates exponentially higher than traditional computer bits. These “noisy” qubits are unreliable for any practical purposes. For quantum computers to be useful, we must be able to stabilize or error-correct these qubits so they can perform the required calculations.

The next big challenge to address is entanglement. Quantum computers are essentially large systems of entangled qubits that work together to solve problems. For these systems to function, we must find ways to connect hundreds of thousands of individual qubits so they can communicate and interact with each other in predictable ways.

What is known as topological quantum computing offers promise for solving the challenges of stability and entanglement. While the technology that would support topological quantum computing is still in early experimental phases, qubits encoded in this manner are expected to be exponentially more stable than standard qubits, making them able to hold their information for nearly a full day without error correction.

There is also the issue of scalability. Today, even the smallest quantum computers require large, energy-hungry support systems to function. Achieving the true potential of quantum computing will require much larger quantum computers. That means we must figure out how to make them more efficient or how to connect multiple small quantum computers together to deliver greater computing power. Researchers are already exploring ways to interlink multiple quantum computers to capitalize on their combined computing power.

As the world’s researchers work at speed to overcome these challenges, it is important to plan now for the realities of quantum computing by developing quantum security measures that will bring about a safe and beneficial quantum future.

How quantum security is keeping up

The development of quantum security measures is critical to ensuring a safe and beneficial quantum future. The flip—side of the vast potential benefits of quantum computing is the risk posed by one in the wrong hands. When a threat actor manages to access a cryptographically relevant quantum computer (CRQC)- one large enough and equipped with the right software- many common data encryption methods will become ineffective. It is not a matter of if this will happen, but when. The Global Risk Institute’s 2023 Quantum Threat Timeline Report offers a view to the risk of a CRQC compromising RSA-2048, a frequently used public-key data cipher. As Figure 1 shows, there is up to an 11% likelihood of this cipher being rendered useless in just five years. Within ten years, this risk triples to over 31%. This poses a tremendous threat to any enterprise or organization that relies upon trusted data as their lifeblood, like financial institutions, research, healthcare, utilities, transportation, defense, and more.

Global Risk Institute’s 2023 Quantum Threat Timeline Report – Executive Summary (January 2024) By Dr. Michele Mosca, Co-Founder & CEO, evolutionQ Inc., and Dr. Marco Piani, Senior Research Analyst, evolutionQ Inc.*

In anticipation of that moment, several regulatory agencies around the world are setting mandates and regulations for a quantum-safe future. Quantum-safe solutions deliver secure and trusted applications and network connectivity in the presence of CRQCs, ensuring the security of critical systems in the quantum era. Agencies that have introduced mandates or regulations related to Quantum-safe solutions include the US National Security Agency (NSA), Cybersecurity and Infrastructure Security Agency (CISA), and National Institute of Standards and Technology (NIST), the National Center for Safety Initiatives, and the Cloud Security Alliance (CSA). Moreover, governments, agencies, and mission-critical organizations in Europe, South Korea, and Singapore are already actively pursuing and implementing Quantum-safe networks (QSN) for communication infrastructures.

With the need to build trust in data and reduce risk, QSN development has become a top priority. A quantum-safe network is the outcome of adopting a set of technologies and practices, and then updating these technologies over time as threats evolve. The cornerstone of a QSN is its defense-in-depth approach, which employs multiple layers of additive and complementary network cryptography to make it substantially harder for threat actors to compromise networks, thereby enhancing overall security and trust. This multi-layered approach supports and integrates existing technologies while providing the flexibility to incorporate future advancements.

QSN technologies that focus on engineered connectivity (e.g., Physical layer, Ethernet, MPLS or IP layer) are already being deployed. Current solutions employ symmetric key distribution and encryption methods, where data and encryption keys are transmitted separately. Another tool is quantum key distribution (QKD), which uses quantum physics to generate keys, making it impossible for attackers to intercept encryption keys. These will be complemented by key exchange methods based on post-quantum cryptography (PQC) for more dynamic connectivity.

Together, these pieces form what’s needed for a defense-in-depth architecture; a robust set of Quantum-safe solutions. Given the risk profile and the time needed to modernize applications and networks, mission-critical operators like utilities, transportation, and defense- everyone really- need to act now.

Key research institutions and proactive enterprises are already preparing and working together to promote a safe and fruitful quantum future. Nokia is working with the national research and education network of Greece, GRNET, the HellasQCI consortium to advance a nationwide quantum-safe network infrastructure as part of the EU’s European Quantum Communication Infrastructure ( EuroQCI ). In partnership with Nokia, Belgium communications service provider Proximus completed a live trial of QKD by successfully encrypting and transmitting data between data centers in Brussels and Mechelen, and IP Telecom is establishing quantum-safe connectivity for Portugal’s three major data centers. Singapore communication service providers SPTel and Singtel are working with Nokia and other companies on quantum-safe solutions to strengthen enterprise cybersecurity. Through a partnership known as the Quantum Alliance, companies like SK Telecom and Nokia are working together to develop South Korea’s quantum ecosystem.

The future is quantum: preparation needs to start now

Quantum computers are set to bring about significant changes across various sectors, offering solutions to problems that have remained elusive until now. While we still face challenges in realizing these benefits and ensuring their security, progress is being made at an unprecedented pace. At the same time, we need to ensure that data is protected against the risk of quantum computing in the wrong hands. Doing so need not be difficult; the tools and practices exist today to provide protection alongside the quantum evolution.

The essence of this quantum future lies in the synergy of expertise, innovation, and collaboration. It is this combination that will pave the way for a quantum future that is not only exciting and prosperous but also secure. As we stand on the cusp of a quantum-secure economy, the importance of trust in our digital communications infrastructure cannot be overstated. Our readiness for this future will determine its impact on our lives.

Let’s embrace this quantum future with anticipation and preparedness. The future is quantum, and it is closer than we think.

* Global Risk Institute’s 2023 Quantum Threat Timeline Report

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From climate change to landfill, AI promises to solve Earth’s big environmental problems – but there’s a hitch

Senior Researcher, Urban Transformations Research Centre, Western Sydney University

Professor of Artificial Intelligence, Faculty of Business and Hospitality, Torrens University Australia

Disclosure statement

Ehsan Noroozinejad does not work for, consult, own shares in or receive funding from any company or organisation that would benefit from this article.

Seyedali Mirjalili does not work for, consult, own shares in or receive funding from any company or organisation that would benefit from this article, and has disclosed no relevant affiliations beyond their academic appointment.

Western Sydney University and Torrens University Australia provide funding as members of The Conversation AU.

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Artificial intelligence (AI) has revolutionised our lives in myriad ways, from personalising our social media feeds to giving us driving directions and monitoring our health.

In recent years, hopes have grown that AI may also help humanity tackle global environmental problems such as climate change.

AI involves using computers to make them think like humans. It can solve complex problems and process huge amounts of data.

But the technology brings with it a host of environmental costs. Here, we weigh up the pros and cons.

4 ways AI can help the natural world

Energy efficiency

AI systems can control and optimise energy use. For example, AI-powered “ smart grids ” monitor and manage electricity generation to meet the demand of consumers, which can both lower energy costs and allow for more efficient energy use.

AI can also help streamline the energy used by big commercial and industrial systems. Tech giant Google, for instance, used AI to cut the amount of energy required to cool its data centres by 40% .

Urban Infrastructure

Waste management systems driven by AI may help increase recycling rates. In the United Kingdom, for example, recycling company Recycleye uses AI to identify materials for sorting, lowering contamination rates and increasing recycling volumes – and so, reducing pressure on landfill.

And AI-powered “ smart cities ” technologies help make public transport systems work more smoothly, which can reduce congestion and minimise vehicle emissions.

Artificial intelligence can also be deployed to improve air quality in cities. IBM, for example, uses the technology to analyse weather and air pollution data from sensors and satellites. This can help authorities pinpoint pollution sources, make air quality forecasts and issue health alerts.

Sustainable agriculture

AI-powered smart machines, robots and sensors are already used in agriculture.

They can provide real-time monitoring of weather, soil conditions and crop needs, leading to better water use and ensuring crops receive only what they need.

The technology can also identify pests , reducing the need to spray chemical pesticides on crops.

As climate change worsens, there are hopes AI can help farmers avoid reduced crop yields and become more resilient.

Environmental monitoring

AI systems can forecast floods, bushfires and other natural hazards quickly and accurately. This can minimise the effects of natural hazards on both the environment and communities.

AI can be used to track environmental change. For example, it can reportedly measure changes in icebergs 10,000 times faster than a human can.

Meanwhile, environmental group The Nature Conservancy uses AI to minimise the environmental impacts of hydropower across the Amazon.

But what about the downsides?

The path to realising the potential of AI is fraught – and the technology comes with several major downsides, as outlined below.

Artificial intelligence guzzles a huge amount of energy. First the computer models must be “trained”, or fed a large set of data. This feeding can be relatively quick, or take up to several months – during which time big data processors are running 24/7.

And when we ask AI to solve a problem, this also requires processing power which consumes energy. Advanced AI models such as ChatGPT reportedly use ten times more energy per search than a conventional Google search, according to one estimate. Only a small fraction of this demand is met by renewable energy sources.

The International Energy Agency projects electricity consumption from data centres, AI and cryptocurrency sector could double in the four years to 2026, from 460 terawatt-hours in 2022 to more than 1,000 terrawatt-hours in 2026.

By comparison, total electricity generation in Australia in 2022 was around 273 terawatt-hours .

Greener AI systems are urgently needed – and this is looking increasingly possible. Studies have shown the energy use of AI-based computer models can be slashed through various means, such as reducing a model’s complexity without affecting its performance.

Water impacts

The water requirements of AI are significant . The data centres housing powerful AI servers generate a lot of heat. Water is used in cooling to keep the servers at operating temperature.

AI also consumes water indirectly through its energy consumption. Coal-fired power stations use water for cooling, and water is also lost through evaporation from hydro electricity schemes.

And as others have noted , the mining and manufacturing required to produce AI hardware both uses and pollutes water.

Broader environmental damage

The environmental impact of AI goes beyond its energy use. For example, as Scientific American has reported , ExxonMobil in 2019 partnered with Microsoft to deploy AI in oil extraction, substantially increasing production.

As the article also noted, the use of AI in targeted online advertising – on platforms such as Instagram and Facebook – creates demand for material goods. This leads to greater consumption of mass-produced items which creates carbon emissions and uses Earth’s natural resources.

Where to now?

As AI becomes more integrated into modern life, its environmental footprint will grow. Humanity must find the right balance to ensure AI helps the Earth, rather than harms it.

To better achieve this, standard criteria must be developed to accurately measure the effects of AI on the environment.

There is also a push from some quarters for more environmental regulation of AI, and greater transparency from companies about their AI-related emissions.

But efforts to make AI more environmentally friendly will struggle for public and industry acceptance if the effectiveness of AI systems is sacrificed. To avoid this, stronger collaboration between researchers and the AI industry is needed .

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