Top Mathematics discussions
NishMath - #education
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@aperiodical.com
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Fractal Kitty
The 238th Carnival of Mathematics, organized by Aperiodical, has been celebrated with a diverse range of submissions and mathematical artwork. The carnival highlights interesting properties of the number 238, which is the product of three primes (2 × 7 × 17) and the sum of the first 13 primes. It's also noted as a "triprime." The event showcases the beauty and fun in mathematics, encouraging exploration and engagement with numbers and their unique attributes. Various individuals from the Mathstodon community contributed interesting facts about 238, further enriching the carnival's celebration of mathematics.
The Carnival features engaging math art and thoughtful blog posts covering diverse topics. Ayliean's #MathArtMarch initiative inspired creative works including crochet, coding, painting, and structural designs. Blog posts include Peter Cameron's reflections on Compactness, Memories of CFSG, and research defense strategies. Further topics discussed were polyominoes, a modern presentation of Peano Axioms, practical math for programmers, the Monty Hall Problem, communication failures, a visual Go For Geometry series, and group theory with Zoombinis. Prime numbers and their curiosities were also explored, inviting mathematicians and enthusiasts to discover and share interesting properties. The Prime Pages maintain an evolving collection of prime numbers with unique characteristics. "Prime Curios!" is an exciting collection of curiosities, wonders and trivia related to prime numbers. There are currently 31951 curios corresponding to 22773 different numbers in their database. One post highlighted truncatable primes and a game based on creating prime number strings. The goal is to list the small primes that are especially curious and provide explanations understandable to a general audience, fostering further interest and investigation in prime numbers. 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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Math Department
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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Unknown (noreply@blogger.com)@Pat'sBlog
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Pat'sBlog
A recent discussion has emerged regarding the use of specific mathematical terminology in educational settings. A young educator expressed concern over a visiting math teacher's use of the term "reduce fractions" during a lesson. The educator questioned whether it was appropriate to correct the more experienced teacher for using what they perceived as outdated or imprecise "edu-speak." This situation has sparked debate about the evolution of mathematical language and its implications for teaching practices.
Many modern elementary teachers get upset by the use of the term "reduce a fraction". Some argue that the term "reduce" can be misinterpreted by students as solely meaning "make smaller," potentially leading to confusion. However, historical context reveals that the term "reduction" in mathematics once had a broader meaning, encompassing the transformation of a quantity from one denomination to another without altering its value. This broader definition was prevalent in arithmetic textbooks until the late 1930s and 40s, when the term became primarily associated with fractions in "lowest terms" or "simplest terms." 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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@phys.org
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phys.org
, www.sciencedaily.com
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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Katie Steckles@The Aperiodical
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The Aperiodical
, denisegaskins.com
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The Carnival of Mathematics continues to engage math enthusiasts with its latest February 2025 edition, now available at Flying Colours Maths. The Carnival rounds up blog posts from all over the internet. This is the 237th edition. Playful Math celebrated its sweet sixteen with the 179th edition of their carnival, originally called Math Teachers at Play, the first carnival was published in February 2009. Playful Math Carnival offers a smorgasbord of delectable tidbits of mathy fun, a free online magazine devoted to learning, teaching, and playing around with math from preschool to high school.
DEA SCUOLA, in collaboration with MaddMaths! and with the patronage of the CNR Consiglio Nazionale delle Ricerche, is organizing a conference for mathematics teachers of secondary schools. The conference aims to motivate, involve, and entertain with mathematics, covering topics such as neuroscience and mathematical learning, innovative teaching strategies, and the use of AI in mathematics education. Recommended read:
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munizao@Puzzle Zapper Blog
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mathvoices.ams.org
, John D. Cook
Math enthusiasts and educators are exploring a variety of topics on blogs and websites. Puzzlezapper features geometrical puzzles like polyiamond path puzzles, while other platforms share insights into math education and mathematical concepts. Alexandre Muñiz, on Puzzle Zapper Blog, explores variations on polyiamond tiles with marked paths, constrained to straight lines connecting the midpoints of cell edges.
Donna Fernandez, Co-Director of Alliance of Indigenous Math Circles, highlights the power of indigenous approaches to math education, using the example of the Navajo Prep Math Camp and ICME-15. John D. Cook discusses the practical consequences of tokenization, noting how subtle changes in prompts can significantly impact Large Language Models (LLMs), referencing an article about LLMs and chess, and illustrating how tokenization differences can confuse the model, affecting its ability to play effectively. 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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