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QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.
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- The calculus section will carry out differentiation as well as definite and indefinite integration.
- The matrices section contains commands for the arithmetic manipulation of matrices.
- The graphs section contains commands for plotting equations and inequalities.
- The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation.
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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, the list of best websites to solve math problems in this article will offer you a wealth of interactive tools and exercises to help you master everything from basic arithmetic to advanced calculus.
10 AI Math Solvers for Quick Solutions
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 to fins a perfect math solution to your problem and start boosting your math skills today!
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.
When choosing the best math solving app, it’s important to consider factors such as the ability to handle various math problems, user experience, and the level of detail provided in the solutions. Mathway being one of the best maths solution website excels in all these areas, offering a robust solution for students, educators, and anyone looking to improve their math skills.
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.
Read our article: 10 AI Math Solvers for Quick Solutions
MathShark Electronic Math Game for Kids
For students seeking the most reliable resources, this best math solver website offers comprehensive tools to tackle even the most challenging problems. 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.
9 Must-Have AI Tools for Teachers to Create Interactive Learning Materials
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.
6 Websites Offering Free Math Worksheets for All Levels
Cymath is a free math solver 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. For those in need of detailed explanations, Cymath is the one of the best math websites for answers, guiding you through each step of the solution process to ensure a clear 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.
If you’re struggling with complex equations, Cymath can provide invaluable help with math problems by offering detailed, step-by-step solutions. No more math conundrums – Cymath has got your back! With its precise math answers, you’ll always have the support you need to master even the toughest problems.
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
For those seeking an efficient way to solve a wide range of mathematical problems, a math app that solves any problem can be a game changer. 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 app 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!
Top 10 Websites that Teach Math Through Games
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.
As a premier math solving website, this math question solver excels in providing users with comprehensive math solutions and a clear breakdown of steps.
With its instantaneous solutions, it empowers users to conquer problems in subjects like Pre-Calculus and beyond, making math learning more accessible and engaging.
Math problem solving websites like Mathway, Photomath, and Microsoft Math Solver not only provide accurate answers but also deliver step-by-step explanations that deepen your understanding. Cymath and Snapcalc further enhance this experience with detailed solutions and the ability to recognize handwritten problems. QuickMath, Symbolab, and Chegg Math Solver round out the list, offering diverse functionalities to cater to various learning needs.
Whether you’re tackling basic arithmetic or advanced calculus, these free math websites are essential for anyone seeking to improve their math skills or develop effective teaching materials. By leveraging any best app for math solutions for free, you can turn math challenges into opportunities for growth and learning.
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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. 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Utilize notable special functions or number theoretic functions. Do computations with special functions:Do computations with number theoretic functions:, find representations for a function:. Compute; learn about algorithms, definitions and theorems involving; or find properties of continued fractions. Find the continued fraction representation of a number:Find definitions of continued fraction terminology:, find continued fraction papers by author:. Get information about math Common Core Standards for kindergarten through eighth grade. Evaluate an expression (CCSS.Math.Content.6.EE.A.2c):Perform multiple operations with rational numbers (ccss.math.content.7.ns.a.2c):. Similar Problems from Web Search
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Lessons HW Guidelines Skills Survey Need help with math? Start browsing Purplemath's free resources below! What are Purplemath's lessons like?Content Continues Below MathHelp.comNeed a custom math course? K12 | College | Test Prep ![]() How much do these lessons cost?Purplemath's lessons cost nothing! These lessons are free, are intended for students (rather than for instructors), and are interlinked to help you find related material. There is a "Search" box on every page to help you find whatever math content you're looking for — without encountering ads masquerading as search results. Whether you're in middle school, high school, college, or university, these free algebra lessons can help you out! How can I use Purplemath's lessons?Purplemath's math lessons can be used in many ways:
Let Purplemath help you always be prepared! Go to the lessons! How should I be formatting my homework?Neat homework can aid your comprehension and might make your teacher like you better. Purplemath's " Homework Guidelines for Mathematics " will give you a leg up, explaining in clear terms what your math teacher is looking for. The Guidelines link to examples of common errors, and demonstrate techniques that your instructors will love! In addition, students who get in the habit of explaining themselves clearly in their homework gain greater understanding of what they're doing, and therefore tend to do much better on their tests. English teachers tell their students explicitly how to format their papers: what fonts, what page margins, what style guides, etc. Math teachers, on the other hand, frequently just complain amongst themselves in the faculty lounge about how messy their students' work is. Meanwhile, their students wonder why they've lost points on homework and tests. Study these Guidelines , print out this " formatting " PDF, and improve your learning, retention, and test scores. Don't leave easy points on the table! Go to the Guidelines! How can I measure my study skills?Many students, from time to time, wonder, "Do I have what it takes to succeed in math?" Much of one's success or failure in algebra can be laid at the feet of one's study habits. Do you have good math study habits? Take this survey and find out. Go to the study-skills self-survey! Personalized Help ($): Investigate hiring a qualified tutor in your local area (US only), or try e-mail tutoring from Purplemath's author. But for in-depth, quality, video-supported, at-home help, including self-testing and immediate feedback, try MathHelp.com . MathHelp.com comes highly recommended by homeschoolers, military service members, and other practical people. If you're needing more intensive help, give MathHelp.com a try! Privacy: You may review Purplemath's cookies policy here and Purplemath's privacy policy here . URL: https://www.purplemath.com/index.htm Standardized Test PrepCollege math, homeschool math, share this page.
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iPhone ScreenshotsDescription. Solvo is your new superpower in education and beyond Maximize your academic potential with your own personal AI homework helper! Meet Solvo—an AI-powered math, chemistry, biology, physics solver & essay writer that revolutionizes the way you manage study assignments. Simply scan, type, or upload the task in front of you and let the app work its magic! Check out what Solvo can help you with: Scan & Solve • Scan and solve math problems, equations, and more Faced with a boss-level problem (e.g., you need science answers) and don’t know where to start? Snap a picture of it—you’ll see the result and in-depth solution steps. This way, you gain more insights into how to tackle certain tasks and become more confident solving them yourself next time! Math, science answers, and more—you name it, our AI homework helper helps with it in a flash. • Ace any test and quiz Our AI homework helper can answer all sorts of questions typically used in tests and quizzes, including true or false, multiple-choice, and open questions. Biology solver? Chemistry solver? It’s already in your pocket! Simply tap Text-Based Problems, snap a picture of the question, and get your answer in seconds. This feature can also help you test your knowledge and prepare for exams. Streamline Reading & Writing • Write killer essays in a breeze Have excellent ideas for your essay but find it hard to articulate them clearly? No problem—Solvo is an experienced essay writer! Simply tap Create Essay and type your subject. You can go ahead and use the output directly or to get your creative juices flowing. • Improve and reword your writing Solvo isn’t just an essay writer—it’s a great editor! Already prepared a draft of your text and need help with polishing it into something truly A grade-worthy? Just upload your writing to our AI homework helper, and the app will offer suggestions to reword and improve it. This can be a game-changer if you feel stuck with a writing assignment. • Read smarter, not harder Our AI homework helper can be a lifesaver if you need a quick overview of a book. Type the name of the book or its author, or upload the book if you've got a file, and no matter how long or complex, tap Generate Summary. Get the essentials in a breeze! Math solver, physics homework solver, essay writer, biology solver, chemistry solver—Solvo wears many hats! Yes, studies can be challenging, but with our AI homework helper, you're well-equipped to handle them! Get answers to all your problems—including tricky science answers—with prompt assistance for your tasks whenever and wherever you need it and enjoy studying with less anxiety. Be unstoppable in class with Premium! A subscription allows you to: • Remove usage limits • Get more detailed answers • Use text recognition (OCR) • Get instant responses Subscriptions are auto-billed based on the chosen plan. Privacy Policy - https://aiby.mobi/ai_study_ios/privacy Terms of Use - https://aiby.mobi/ai_study_ios/terms Version 1.30 Get ready for the back-to-school season with Solvo! In this update: — Improved scanning and solving of visual tasks (including graphs, geometry, tables, and more) — Leave feedback after any solution, so we can continue improving task-solving — Copy and share any solution Don’t forget to send feedback to [email protected] and leave your review on the App Store! It helps us make the app even better. Ratings and Reviews176 Ratings A wonderful appVery helpful app I was needing something to help me with my daughter’s homework my daughter is horrible on taking notes in school. And if I have notes to see the task I’m good at figuring it out how to do the rest so I tried this help because I couldn’t find anything online to help me. So when this can’t up I was like why not. And I was glad I did it tells u how to solve it. And I could figure out the rest by their help. The only thing I would like if they make another app or add on this this one for younger kids. I know a couple of parents that also need help with there kid’s homework (how to help there child I don’t do it for my kids do there homework but I have to explain it to them sometimes and for that I need to refresh my mind as will) and this is a great app for that just hope they for something god younger students grades 2nd to 5th graders would help parents a lot. Great App / One Major IssueI love this app. Its saved me multiple times on upcoming tests, and the great thing about it is it thoroughly goes through the topic step-by-step making sure you understand how the AI got to the solution. All that to be said, I really wish there was a feature to edit the text that was scanned in the picture. I think its already an intended design because theres text displayed saying if you’d made typos heres the time to fix it, but it doesn't work. Tapping on the screen doesn't do anything. You can copy and paste the text but theres no way to edit it where the users keyboard opens. This is a 10/10 if I could edit the prompt. Great academic supportSolvo has truly been a remarkable discovery for me as a busy working mom. My son has been facing difficulties with certain subjects in school, and finding the time and energy to assist him with homework has been a challenge for me. Since we found Solvo, everything has changed for the better. My son doesn’t give up on his assignments when they’re difficult. Solvo gives me peace of mind. I know my son receives the help he needs. The app has empowered my son to become more independent in tackling his academic challenges without unnecessary stress. I highly recommend Solvo to all working parents who want to actively support their children’s education. It’s an invention that has made a significant difference in our lives. HAPPENING NOWApp privacy. The developer, AIBY , indicated that the app’s privacy practices may include handling of data as described below. For more information, see the developer’s privacy policy . Data Used to Track YouThe following data may be used to track you across apps and websites owned by other companies:
Data Linked to YouThe following data may be collected and linked to your identity:
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More By This DeveloperThemify - Widget & Icon Themes Fonts Art: Keyboard for iPhone ChatOn - AI Chat Bot Assistant InPulse - Heart Rate Monitor Plantum - AI Plant Identifier AI Photo Generator: ARTA You Might Also LikeSolvely-AI math solver Pic Answer - AI Solver Nerd AI - Tutor & Math Helper Quizard AI: Homework Helper Homework AI - Math Helper Studdy AI - Homework Tutor Happy Labor Day! Please note that AoPS Online is closed August 30th - September 2nd. Something appears to not have loaded correctly. Click to refresh . Powerful online learning at your pace ![]() Solving Problems with the Unknown in any positionBeginning as early as 1st grade, students should have experience solving addition and subtraction problems with the unknown in any position . Traditionally, we have tended to focus on result unknown problems, such as 3 + 2 = ⬜. But students also need to be able to solve problems such as 3 + ⬜ = 5. So exactly how do we go about building that understanding? This post contains affiliate links, which simply means that when you use my link and purchase a product, I receive a small commission. There is no additional cost to you, and I only link to books and products that I personally use and recommend. number bondsFlexibility with numbers begins in Kindergarten when students learn all the combinations for the numbers through 10. These combinations are often referred to as number bonds . Here you see a common way to show number bond relationships. In this case, you see all the ways to make 5. ![]() You may notice that number bonds look a lot like fact families, and they are similar. The difference is how we approach building an understanding of the relationship between the numbers. When we taught fact families, it was typically done as a rote skill. Students knew that they needed to have two addition equations and two subtraction equations using the same numbers, yet they didn’t have an understanding of what the equations represented. We knew that because we would often see unreasonable results, like 2 – 5 = 3. ![]() Students in Kindergarten need to first work with number bonds in a totally concrete way. You can find lots of different games, many with free downloads, in this post . We can use number bond cards to help students understand the part/whole relationship of the numbers that make up a number bond. We want to start out with result unknown cards and provide students the concrete support of counters. Here we see that they start out by putting teddy bear counters on the two parts that are known—3 bears on one part and 2 on the other. Next, students move the bears representing the two parts to the unknown whole section, finding that the whole is 5. ![]() After lots of practice with result unknown , students can move to working with the cards with the unknown as one of the parts. Keep in mind that this won’t happen at the same time for all children. Differentiation is critical. We begin by placing the 5 bears on the whole. Next, we move 2 of the bears to the part we know. Finally the remaining 3 bears are moved to the unknown part. Be sure to provide plenty of guided practice during small group instruction before asking students to work with part unknown cards independently. ![]() 3 reads protocolUsing word problems makes abstract concepts more concrete because they put the numbers in a familiar context. However, we need to make sure that we help students develop reading comprehension skills to allow them to understand what the numbers represent in the context of the story. Enter a powerful strategy called the 3 Read Protocol. The Three Reads Protocol, not surprisingly, involves reading a word problem three times, with each read having a different purpose. ![]() But here are some things that might surprise you. The problem in Read 1 has NO numbers and NO question. When you take out the numbers, students have to focus on the words. This helps them learn to make mental pictures of what’s taking place, which helps them understand what math to do. ![]() Read 2 provides the numbers, but still does not have a question. Now the focus shifts to the numbers and what they represent in the story. ![]() Finally, in Read 3, students come up with questions that could complete the word problem. ![]() While this sample problem is a result unknown problem (but could also be a comparison problem, right?), you would gradually introduce stories that have the unknown in other positions. For more information on 3 Reads and how to incorporate it into your instructional routine, check out this post . Part/whole modelsAnother tool that can be used to help students understand that the unknown can be in any position is a part/whole diagram. To illustrate, let’s revisit the word problem from the last section, but now let’s make at a part unknown problem. ![]() Now let’s listen in on what it would sound like to incorporate part/whole thinking. TEACHER: [displays the word problem and a blank part/whole diagram] Let’s read this problem together and decide how each number fits into our part/whole diagram. First we’ll read the whole problem and talk about what’s happening in this story. Then we’ll read each sentence and add the numbers to our diagram. [teacher and students read the story] TEACHER: Who is this story about? [Juliet and her grandmother] What’s happening in the story? [Juliet is saving money for a video game. She already has some money. Her grandmother gives her money for her birthday.] TEACHER: Okay, let’s go back to the first sentence: Juliet has saved $15 for a video game. Is the $15 she had already saved the whole, her total money, or is it part of her money. [part of her money] What part is it? [the part she had already saved] Great! Let’s add that to our part/whole diagram and label it money she had . Sound good? TEACHER: Next sentence: Her grandmother gave her some [teacher shrugs her shoulders when she says some ] money for her birthday. Huh, do we know how much her grandmother gave her? [no] So that is our unknown in this problem! Is the money her grandmother gave her part of her money or all of the money, the total? [part] Can we label that part money her grandmother gave her? If we don’t have a number for the money her grandmother gave her, what should we put in that part of our diagram? [a question mark] TEACHER: Next sentence: Now she has $33. Is that all of her money, the whole, or one of the parts? [all of her money] Why don’t we label the whole All of her money and add the $33 to our diagram. TEACHER: It seem like we’re getting really close to solving this problem! Let’s read the question and make sure it matches where we placed the unknown in our diagram: How much money did her grandmother give her? Does that match our diagram? [yes] Yes, because we have our question mark in the part labeled money her grandmother gave her . TEACHER: Great work! Now work with your partner to solve the problem. Let me add an important note—I used a missing part problem for this example. Keep in mind that your students would have been using the part/whole diagram and this process for talking through the problem on less complicated, result unknown problems extensively before moving on to unknown parts. Another note—be careful of calling this a subtraction problem. Yes, most students will use subtraction to solve the problem, but they could also use a counting up strategy ( 18 and 2 more is 20. It’s 10 more to 30, and another 3 to 33. So her grandmother gave her $15 ). Allow for flexible strategies in solving ALL problems! I hope that gives you some fresh ideas for tackling this tricky concept! ![]() Similar Posts![]() Thinking Flexibly About Place ValueNew standards call for an increased emphasis on understanding place value, rather than just, for example, identifying the digit in a certain place value position (eg., In the number 345,… ![]() Concrete Learning for Equivalent FractionsFractions are such an abstract concept, and children need lots of concrete and representational (pictorial) experiences to really understand the meaning of a fraction. Concrete learning also allows students to… ![]() Counting Coins on a 100 ChartI’ve been reading a phenomenal book about teaching math using a strengths-based approach. We often look at only what students can’t do, ignoring the strengths that they have. It reminded me… ![]() Take it Past 100The CCSS and the Texas TEKS require that students count to 120, rather than 100. This post contains affiliate links, which simply means that when you use my link and… ![]() Conversations to Build Fraction Number SenseIn Texas, fractions are considered “readiness” standards, which means they are more heavily tested on the state accountability test. Fractions are traditionally a concept that 5th graders really struggle with…. ![]() A Plethora of Math Anchor ChartsToday, it’s my pleasure to showcase the beautiful and creative anchor charts of Keisha Charles. Keisha is a 2nd grade teacher at my school, and her anchor charts are pure… Leave a Reply Cancel replyYour email address will not be published. Required fields are marked * ![]() VISIT MY TPT STOREProblem of the WeekThe Problem of the Week is designed to provide students with an ongoing opportunity to solve mathematical problems. Each week, problems from various areas of mathematics will be posted here and e-mailed to educators for use with their students from Grades 3 to 12. The problems vary in difficulty and cover a wide range of mathematical concepts, making it an excellent tool for both learning and enrichment. ![]() Problem of the Week has wrapped up for the 2023-2024 school year. Below you can find all problems and solutions that were sent. Problem of the Week will resume in September 2024.Below you will find the weekly problem across five grade levels.
Gathering TreasureSubscribe now. Sign up to receive Problem of the Week straight in your inbox. New problems are sent every Thursday, and their solutions are sent one week later. Problems and Solutions from 2024/2025Below you will find problems from previous week(s).
![]() Problem and Solution Archive from 2023/2024, 2022/2023Visit the archive page to access links to booklets containing all the problems and solutions from the last two years. The problems are organized into themes, grouping problems into various areas of the curriculum. Information for educatorsProblems are organized into five themes: Algebra (A), Computational Thinking (C), Data Management (D), Geometry and Measurement (G), Number Sense (N). A problem may have more than one theme.
These problems may be used in a variety of different ways including:
We know that educators will use these problems in many creative ways! Solutions will be sent out to educators one week after the problems are e-mailed. Game-Based LearningHow to transform lessons into adventures, by abbie misha aug 28, 2024. ![]() Image Credit: Prodigy EducationImagine a classroom with students deeply engaged in their lessons, eagerly solving math problems and exploring English skills through fun digital games. Their excitement is evident as they face challenges and earn rewards, turning traditional learning into an adventure. Game-based learning not only motivates students through elements like challenges, rewards and narratives but also fosters critical skills such as problem-solving, strategic thinking and collaboration. Recently, EdSurge spoke to Dr. Josh Prieur about how to maximize the impact of game-based learning in classrooms. Prieur began his career as a high school English teacher in Palm Beach County, Florida, before transitioning to a school-level administrator role for six and a half years, during which he earned his doctorate in educational leadership. He later moved into digital game-based learning and currently serves as the director of educator enablement at Prodigy Education , partnering with schools and districts to enhance the use of game-based learning tools. EdSurge: How do you define game-based learning? Prieur: Game-based learning encompasses any game used for an educational purpose, from traditional physical games to those on computers. Not only are games a great way to embed practice into the classroom, but they can also help students find a state of flow where they are fully immersed in something they enjoy. Psychologists have posited that you enter a state of flow when you're deeply engaged . Game-based learning is a phenomenal way to get students into a state of flow because they then become deeply engaged, not only in the game but also in the learning. I often hear from teachers who use Prodigy about how impactful games can be in their classrooms. Students using Prodigy Math or Prodigy English enjoy the storyline and get excited about the learning content. We want them to have fun while they're learning, and that's what makes effective game-based learning truly special. How can game-based learning be integrated into classrooms and beyond? The key is intentionality . At its core, Prodigy offers adaptive, standards-aligned content, which is fantastic. If students pick it up and use it for fun and learning, that's great. Many parents discover Prodigy and share it with their kids, and the kids enjoy playing it. Teachers can align the in-game educational content with classroom lessons in under 30 seconds, making the practice more impactful. This can seamlessly blend into activities like station rotation, math workshops, exit tickets, technology time or even whole-group instruction. There are many natural ways to incorporate games into the classroom. ![]() What data privacy considerations should be addressed when adopting new edtech? Privacy and security have been at the top of educators' minds, and rightfully so. I look for tools that integrate with popular cloud-based productivity suites, education-focused single sign-on platforms and digital learning ecosystems. On the cybersecurity front, I encourage educators to look for products aligned with the NIST Cybersecurity Framework . Additionally, look for products from companies that are part of the Student Data Privacy Consortium ; they've standardized the data privacy agreement process, which is fantastic. I also recommend looking for tools certified by 1EdTech and that have signed the TrustEd Apps Pledge . Additionally, Prodigy has achieved a 93 percent pass rating by Common Sense Privacy thanks to our stringent approach to student data privacy. How can game-based learning tools be customized to meet the diverse needs of different classrooms and individual students? Games should have multiple supports built right into them to assist students with varying needs. For example, having a read-out-loud functionality is something that I see as critical. We know it's helpful for emerging readers and English language learners to have that auditory element to go along with the reading. Having hints is also really important because it provides students with that extra scaffolding when they need it. Hints allow us to give content to students that is appropriately leveled for them — it's just hard enough. It keeps them in their Zone of Proximal Development . I also consider readability in games. For example, look for tools that use Lexend fonts , which may help improve readability for those with dyslexia. Digital Promise offers a certification called Learner Variability , which Prodigy has earned. We keep learner support top-of-mind, and we're really proud of the fact that we take the time to make sure that Prodigy is accessible. It's something that teachers should look for as they evaluate tools for their classrooms. To learn more about Prodigy, please visit www.prodigygame.com . This article was sponsored by Prodigy Education and produced by the Solutions Studio team. ![]() More from EdSurge![]() How to Bring to Life the Science of ReadingBy lauren keeling. ![]() Diversity and EquityWill ai shrink disparities in schools, or widen them, by daniel mollenkamp. ![]() EdSurge PodcastWhen the teaching assistant is an ai ‘twin’ of the professor, by jeffrey r. young. ![]() AffordabilityNot all ‘free college’ programs spark increased enrollments or more degrees. 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A framework for solving parabolic partial differential equationsPress contact :. ![]() Previous image Next image Computer graphics and geometry processing research provide the tools needed to simulate physical phenomena like fire and flames, aiding the creation of visual effects in video games and movies as well as the fabrication of complex geometric shapes using tools like 3D printing. Under the hood, mathematical problems called partial differential equations (PDEs) model these natural processes. Among the many PDEs used in physics and computer graphics, a class called second-order parabolic PDEs explain how phenomena can become smooth over time. The most famous example in this class is the heat equation, which predicts how heat diffuses along a surface or in a volume over time. Researchers in geometry processing have designed numerous algorithms to solve these problems on curved surfaces, but their methods often apply only to linear problems or to a single PDE. A more general approach by researchers from MIT’s Computer Science and Artificial Intelligence Laboratory (CSAIL) tackles a general class of these potentially nonlinear problems. In a paper recently published in the Transactions on Graphics journal and presented at the SIGGRAPH conference, they describe an algorithm that solves different nonlinear parabolic PDEs on triangle meshes by splitting them into three simpler equations that can be solved with techniques graphics researchers already have in their software toolkit. This framework can help better analyze shapes and model complex dynamical processes. “We provide a recipe: If you want to numerically solve a second-order parabolic PDE, you can follow a set of three steps,” says lead author Leticia Mattos Da Silva SM ’23, an MIT PhD student in electrical engineering and computer science (EECS) and CSAIL affiliate. “For each of the steps in this approach, you’re solving a simpler problem using simpler tools from geometry processing, but at the end, you get a solution to the more challenging second-order parabolic PDE.” To accomplish this, Da Silva and her coauthors used Strang splitting, a technique that allows geometry processing researchers to break the PDE down into problems they know how to solve efficiently. First, their algorithm advances a solution forward in time by solving the heat equation (also called the “diffusion equation”), which models how heat from a source spreads over a shape. Picture using a blow torch to warm up a metal plate — this equation describes how heat from that spot would diffuse over it. This step can be completed easily with linear algebra. Now, imagine that the parabolic PDE has additional nonlinear behaviors that are not described by the spread of heat. This is where the second step of the algorithm comes in: it accounts for the nonlinear piece by solving a Hamilton-Jacobi (HJ) equation, a first-order nonlinear PDE. While generic HJ equations can be hard to solve, Mattos Da Silva and coauthors prove that their splitting method applied to many important PDEs yields an HJ equation that can be solved via convex optimization algorithms. Convex optimization is a standard tool for which researchers in geometry processing already have efficient and reliable software. In the final step, the algorithm advances a solution forward in time using the heat equation again to advance the more complex second-order parabolic PDE forward in time. Among other applications, the framework could help simulate fire and flames more efficiently. “There’s a huge pipeline that creates a video with flames being simulated, but at the heart of it is a PDE solver,” says Mattos Da Silva. For these pipelines, an essential step is solving the G-equation, a nonlinear parabolic PDE that models the front propagation of the flame and can be solved using the researchers’ framework. The team’s algorithm can also solve the diffusion equation in the logarithmic domain, where it becomes nonlinear. Senior author Justin Solomon, associate professor of EECS and leader of the CSAIL Geometric Data Processing Group, previously developed a state-of-the-art technique for optimal transport that requires taking the logarithm of the result of heat diffusion. Mattos Da Silva’s framework provided more reliable computations by doing diffusion directly in the logarithmic domain. This enabled a more stable way to, for example, find a geometric notion of average among distributions on surface meshes like a model of a koala. Even though their framework focuses on general, nonlinear problems, it can also be used to solve linear PDE. For instance, the method solves the Fokker-Planck equation, where heat diffuses in a linear way, but there are additional terms that drift in the same direction heat is spreading. In a straightforward application, the approach modeled how swirls would evolve over the surface of a triangulated sphere. The result resembles purple-and-brown latte art. The researchers note that this project is a starting point for tackling the nonlinearity in other PDEs that appear in graphics and geometry processing head-on. For example, they focused on static surfaces but would like to apply their work to moving ones, too. Moreover, their framework solves problems involving a single parabolic PDE, but the team would also like to tackle problems involving coupled parabolic PDE. These types of problems arise in biology and chemistry, where the equation describing the evolution of each agent in a mixture, for example, is linked to the others’ equations. Mattos Da Silva and Solomon wrote the paper with Oded Stein, assistant professor at the University of Southern California’s Viterbi School of Engineering. Their work was supported, in part, by an MIT Schwarzman College of Computing Fellowship funded by Google, a MathWorks Fellowship, the Swiss National Science Foundation, the U.S. Army Research Office, the U.S. Air Force Office of Scientific Research, the U.S. National Science Foundation, MIT-IBM Watson AI Lab, the Toyota-CSAIL Joint Research Center, Adobe Systems, and Google Research. Share this news article on:Related links.
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Another note—be careful of calling this a subtraction problem. Yes, most students will use subtraction to solve the problem, but they could also use a counting up strategy (18 and 2 more is 20. It's 10 more to 30, and another 3 to 33. So her grandmother gave her $15). Allow for flexible strategies in solving ALL problems!
The Problem of the Week is designed to provide students with an ongoing opportunity to solve mathematical problems. Each week, problems from various areas of mathematics will be posted here and e-mailed to educators for use with their students from Grades 3 to 12.
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Moreover, their framework solves problems involving a single parabolic PDE, but the team would also like to tackle problems involving coupled parabolic PDE. These types of problems arise in biology and chemistry, where the equation describing the evolution of each agent in a mixture, for example, is linked to the others' equations.