Top Mathematics discussions
NishMath - #learning
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Unknown (noreply@blogger.com)@Pat'sBlog
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Fractal Kitty
, The Aperiodical
The online mathematics community is buzzing with activity, as evidenced by the 238th Carnival of Mathematics, hosted by Aperiodical. This month's carnival showcases diverse submissions and beautiful math art, starting with an exploration of the number 238 itself. Found to be 2 x 7 x 17 and the sum of the first 13 primes, the number also inspired community contributions, with users pointing out its appearance in uranium isotopes, hexagonal representations, and even birth minute celebrations. The carnival highlights the engaging and creative ways people interact with mathematical concepts online.
The carnival features a collection of blog posts and activities from various math enthusiasts. Number yoga is explored as a technique to develop creative reasoning and comprehension in mathematics. This involves noticing details, wondering about possibilities, and creating explanations or related puzzles. Also featured are posts on polyominoes, a modern presentation of Peano Axioms, practical math for programmers, the Monty Hall Problem, and group theory using Zoombinis. Karen Campe also continues her visual "Go For Geometry" series. Furthermore, the online discussion includes extensions of basic geometry, focusing on pedal triangles and related theorems. A blog post delves into generalizations of perpendiculars from a point in a triangle, highlighting properties of the orthocenter and the orthic triangle. The orthic triangle's perimeter and its connection to the angles of the original triangle are discussed. The community also shares the art from Ayliean's MathArtMarch. Recommended read:
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Denise Gaskins@denisegaskins.com
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Recent studies and educational resources are focusing on enhancing math education through innovative approaches. Denise Gaskins' "Let's Play Math" blog offers resources for families to learn and enjoy math together, including playful math books and internet resources suitable for various age groups. Math journaling and games have been highlighted as effective tools to engage students, promote problem-solving skills, and foster a richer mathematical mindset.
Numerous games and activities can make learning fun. For instance, "Make a Square" is a game that builds 2-D visualization skills and strategic thinking. Quick number games that can be played anywhere. The divisibility rules for numbers, particularly divisibility by 2, are being emphasized to help students easily identify even and odd numbers. A megastudy also revealed that behaviorally informed email messages improved students' math progress, demonstrating how simple interventions can positively impact learning outcomes. Recommended read:
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Tom Bridges@blogs.surrey.ac.uk
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Department of Mathematics
Academic institutions are hosting a variety of mathematics-related events and activities. The Department of Mathematics hosted its first annual "Pi Your Professor" event on March 20, 2025, a belated celebration of Pi Day. Undergraduate students were invited to throw pies made of paper plates with Reddi Wip at participating professors, including Maddie Brandt, Spencer Dowdall, and Dan Margalit.
Math Game Monday featured "Make a Square," a strategic game designed to build 2-D visualization skills for all ages. The game involves players marking symbols on a grid, aiming to form a square with their marks. Additionally, the One World Approximate Bayesian Inference (OWABI) Seminar is scheduled for March 27th, featuring Meïli Baragatti from the Université de Montpellier discussing Approximate Bayesian Computation with Deep Learning and Conformal Prediction. Recommended read:
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@medium.com
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medium.com
, medium.com
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AI is making significant strides in revolutionizing math learning and education. AI Math Master is a new mobile app designed to provide students and educators with a tool to solve math problems quickly, offering step-by-step solutions. It covers a range of subjects from basic arithmetic to advanced topics like calculus.
Researchers at the Technical University of Munich (TUM) and the University of Cologne have developed an AI-based learning system to recognize strengths and weaknesses in mathematics. This system uses a webcam to track eye movements, generating problem-solving hints and enabling teachers to provide more individualized support to students. The AI system analyzes patterns in eye movements displayed on a heatmap to select learning videos and exercises tailored to the pupil. Recommended read:
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msaul@mathvoices.ams.org
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Researchers at the Technical University of Munich (TUM) and the University of Cologne have developed an AI-based learning system designed to provide individualized support for schoolchildren in mathematics. The system utilizes eye-tracking technology via a standard webcam to identify students’ strengths and weaknesses. By monitoring eye movements, the AI can pinpoint areas where students struggle, displaying the data on a heatmap with red indicating frequent focus and green representing areas glanced over briefly.
This AI-driven approach allows teachers to provide more targeted assistance, improving the efficiency and personalization of math education. The software classifies the eye movement patterns and selects appropriate learning videos and exercises for each pupil. Professor Maike Schindler from the University of Cologne, who has collaborated with TUM Professor Achim Lilienthal for ten years, emphasizes that this system is completely new, tracking eye movements, recognizing learning strategies via patterns, offering individual support, and creating automated support reports for teachers. Recommended read:
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@Communications of the ACM
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Andrew G. Barto and Richard S. Sutton have been awarded the 2024 ACM A.M. Turing Award for their foundational work in reinforcement learning (RL). The ACM recognized Barto and Sutton for developing the conceptual and algorithmic foundations of reinforcement learning, one of the most important approaches for creating intelligent systems. The researchers took principles from psychology and transformed them into a mathematical framework now used across AI applications. Their 1998 textbook "Reinforcement Learning: An Introduction" has become a cornerstone of the field, cited more than 75,000 times.
Their work, beginning in the 1980s, has enabled machines to learn independently through reward signals. This technology later enabled achievements like AlphaGo and today's large reasoning models (LRMs). Combining RL with deep learning has led to major advances, from AlphaGo defeating Lee Sedol to ChatGPT's training through human feedback. Their algorithms are used in various areas such as game playing, robotics, chip design and online advertising. Recommended read:
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msaul@mathvoices.ams.org
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Math Blog
Math education is getting a boost from several innovative resources. A podcast, "Homeschool Better Together," is making math more enjoyable for families, highlighting the importance of celebrating when children get stuck as a valuable learning opportunity. According to Denise Gaskins' Let's Play Math, simply providing rules and procedures to follow isn't enough when kids are struggling; it's more important to foster skills in handling challenges and problem-solving.
Also, free printable math worksheets are available for 4th graders to help them practice large numbers, place value (Indian and International systems), expanded form, and fundamental operations. These resources aim to make math accessible and engaging, encouraging students to develop a growth mindset. Learning fractions visually and employing creative reasoning in problem-solving are emphasized as ways to help students understand math topics more effectively. Recommended read:
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@www.primaryresources.co.uk
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Pat'sBlog
, petermodonnell.medium.com
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Recent discussions have focused on the fundamentals of subtraction in mathematics education, exploring its historical roots and teaching methods. The operation of finding the difference between two numbers is called subtraction, with terms like ‘minus,’ ‘less,’ and ‘decrease’ being used. The symbol "-" was originally used in Germany to indicate underfilled barrels and later became an operational symbol in the 1500's. Early texts often used "subduction" to describe subtraction before settling on "subtraction".
The concept of 'borrowing,' also known as 'regrouping,' in subtraction has been analyzed with varying perspectives through history. Some educators prefer the term 'regrouping,' over 'borrowing' to emphasize the concept of understanding the process rather than viewing it as a rote procedure. There is reference in older works to the method of subtraction, now commonly known as borrowing, being taught in the 1200's. Subtraction with small numbers can be computed horizontally, while larger numbers are handled vertically by using place value charts. A number subtracted from itself yields zero, and subtracting zero from a number doesn’t change that number's value. Recommended read:
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