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November 2024
The Fascinating World of Sudoku: A Beginner’s Guide with Examples Historical Influences of Mathematics (Part 3/3) Historical Influences of Mathematics (Part 2 Of 3) Historical Influences of Mathematics (Part 1/3)
September 2024
Mathematical modelling explores the statistical mysteries of successfully scheduling a meeting Mathematicians model a puzzling breakdown in cooperative behaviour Different mathematical solving methods can affect how information is memorized Mathematicians debunk GPS assumptions to offer improvements Generalized splitting-ring number theoretic transform Framework for solving parabolic partial differential equations could guide computer graphics and geometry processing Cold math, hot topic: Applied theory offers new insights into sea ice thermal conductivity Mathematicians unlock the secrets of ouzo’s cloudy transformation New research analyses ‘Finnegans Wake’ for novel spacing between punctuation marks Rubik’s Cube Solution Unlocked By Memorising 3915 Final Move Sequences
August 2024
Those with the biggest biases choose first, according to new math study Study uses topological data analysis to identify voting deserts The Surprising Connections Between Maths And Poetry Real Equity in Math Education is About More Than Good Grades and Test Scores A manifold fitting approach for high-dimensional data reduction beyond Euclidean space Real equity in math education is about more than good grades and test scores Physicists Figured Out The Ideal Container Size For Pistachio Shells Student learning needs
July 2024
Researchers discover a single shape that tiles the plane a periodically without reflection Mathematical Method For Spectral Density Estimation Set To Unlock Ocean Mysteries Is the Universe a Game? Losing Count: The Mathematical Magic of Counting Curves How Mathematics Can Help You Divide Anything Up Fairly Stress Testing Pension Funds—Researchers Present Technique Based on Hidden Markov Regime Switching Model Maths makes finding bat roosts much easier, our research shows Merging AI and Human Efforts to Tackle Complex Mathematical Problems Study Finds Cooperation Can Still Evolve Even With Limited Payoff Memory Students’ Awareness of Their Cognitive Processes Facilitates The Learning of Math, Finds Study Why expanding access to algebra is a matter of civil rights Mathematicians Find Odd Shapes That Roll Like A Wheel In Any Dimension
June 2024
New Research Disproves a Long-Held ‘Cognitive Illusion’ That Hockey Goaltenders Improve Under Pressure Mathematicians Discover Impossible Problem In Super Mario Games Study Shows the Power of Social Connections to Predict Hit Songs Wire-Cut Forensic Examinations Currently Too Unreliable For Court, New Study Says What toilet paper and game shows can teach us about the spread of epidemics Mathematicians Can’t Agree What ‘Equals’ Means, And That’s A Problem How can we make good decisions by observing others? A videogame and computational model have the answer Decision-Making Analysis for a New Variant of the Classical Secretary Problem People Underestimate The Probability of Including at Least One Minority Member in a Group, Research Suggests Data scientists aim to improve humanitarian support for displaced populations How science, math, and tech can propel swimmers to new heights A surprising result for a group’s optimal path to cooperation The Monty Hall Problem Shows How Tricky Judging The Odds Can Be New Mathematical Proof Helps to Solve Equations with Random Components How the 18th-century ‘probability revolution’ fueled the casino gambling craze Australian teenagers are curious but have some of the most disruptive maths classes in the OECD The case for ‘math-ish’ thinking Incredible Maths Proof Is So Complex That Almost No One Can Explain It
May 2024
A mathematical understanding of project schedules Mechanistic model shows how much gossip is needed to foster social cooperation New study is first to use statistical physics to corroborate 1940s social balance theory Malawi’s school kids are using tablets to improve their reading and math skills 500-Year-Old Maths Problem Turns Out To Apply To Coffee And Clocks Game Theory Shows We Can Never Learn Perfectly From Our Mistakes Can science explain why couples break up? The mathematical anatomy of a fall Random processes shape science and math: Researchers propose a unified, probabilistic framework Why are algorithms called algorithms? A brief history of the Persian polymath you’ve likely never heard of Homeschooled kids face unique college challenges − here are 3 ways they can be overcome Study of new method used to preserve privacy with US census data suggests accuracy has suffered Math degrees are becoming less accessible—and this is a problem for business, government and innovation Maths degrees are becoming less accessible – and this is a problem for business, government and innovation Too many vehicles, slow reactions and reckless merging: New math model explains how traffic and bacteria move A mathematical bridge between the huge and the tiny Theoretical biologists test two modes of social reasoning and find surprising truths in simplicity Enhancing Mathematics Education Through Effective Feedback Vindication For Maths Teachers: Pythagoras’s Theorem Seen in the Wild Evolutionary algorithms Particles Move In Beautiful Patterns When They Have ‘Spatial Memory’
April 2024
It’s common to ‘stream’ maths classes. But grouping students by ability can lead to ‘massive disadvantage’ From thousands to millions to billions to trillions to quadrillions and beyond: Do numbers ever end? Mathematician Wins Turing Award For Harnessing Randomness A periodic table of primes: Research team claims that prime numbers can be predicted How do we solve the maths teacher shortage? We can start by training more existing teachers to teach maths Mathematicians Are Bitterly Divided Over A Controversial Proof Wrappers delight: The Easter egg equation you never knew you needed ‘I had such fun!’, says winner of top math prize Ice-ray patterns: A rediscovery of past design for the future Try These Mathematical Magic Tricks That Are Guaranteed To Work Why 2024 Abel Prize Winner Michel Talagrand Became A Mathematician Mathematicians Plan Computer Proof Of Fermat’s Last Theorem
March 2024
What’s Pi Day all about? Math, science, pies and more Paper offers a mathematical approach to modeling a random walker moving across a random landscape How do neural networks learn? A mathematical formula explains how they detect relevant patterns Drawings of mathematical problems predict their resolution NASA Pi Day challenge serves up a mathematical marvel These 7 Mathematical Facts Will Blow Your Mind How The Maths Behind Honeycombs Can Help You Work A Jigsaw Puzzle Mathematicians prove Pólya’s conjecture for the eigenvalues of a disk, a 70-year-old math problem New statistical tool to distinguish shared and unique features in data from different sources Understanding how the brain works can transform how school students learn maths Anyone can play Tetris, but architects, engineers and animators alike use the math concepts underlying the game Pythagoras Was Wrong About The Maths Behind Pleasant Music Smart learning software helps students study math during lockdowns and beyond Pythagoras was wrong: There are no universal musical harmonies, study finds Mathematicians discover how to stop sloshing using porous baffles What math tells us about social dilemmas Mathematicians Discover ‘Soft Cell’ Shapes Behind The Natural World Why Science Relies Too Much On Mathematics What are ‘multiplication facts’? Why are they essential to your child’s success in maths? What does a physicist see when looking at the NFT market? Use of decimal point is 1.5 centuries older than historians thought What are ‘multiplication facts’? Why are they essential to your child’s success in math? Why prices are so high—8 ways retail pricing algorithms gouge consumers
February 2024
Studies recommend increased research into achievement, engagement to raise student math scores Children’s positive attitude toward mathematics fades during the early school years, finds study Sports deflation: Study shows NBA 3-point shot has lost its value Air pollution found to impair performance in matriculation exams in mathematical subjects Driving the best possible bargain now isn’t the best long-term strategy, according to game theory Is there a typical rate of cultural evolution? Mathematical model connects innovation and obsolescence to unify insights across diverse fields Mathematicians Have Finally Proved That Bach was a Great Composer Swarming cicadas, stock traders, and the wisdom of the crowd Researchers use simulations to tackle finite sphere-packing problem and ‘sausage catastrophe’ New methods to improve the accuracy of cross-national surveys
January 2024
Developing task design principles to foster students’ recognition of relativity of truth in math education Are We All Related To Henry VIII’s Master Of The Mint? Here’s why you should (almost) never use a pie chart for your data Technique could efficiently solve partial differential equations for numerous applications Mathematicians Discovered The Ultimate Bathroom Tile In 2023 The Mathematically Perfect Table Size For Solving Any Jigsaw Puzzle How counting by 10 helps children learn about the meaning of numbers Mathematicians Found a Guaranteed Way to Win The Lottery Decades-Old Mathematical Mystery About The Game Of Life Finally Solved
December 2023
Time to abandon null hypothesis significance testing? Moving beyond the default approach Tiny Balls Fit Best Inside A Sausage, Physicists Confirm The first validation of the Lillo Mike Farmer Model on a large financial market dataset AI can teach math teachers how to improve student skills New math approach provides insight into memory formation Math anxiety’ causes students to disengage, says study New theory links topology and finance Coping with uncertainty in customer demand: How mathematics can improve logistics processes New research demonstrates more effective method for measuring impact of scientific publications
November 2023
How master chess players choose their opening gambits The math problem that took nearly a century to solve Mathematician creates mass extinction model regarding climate change and adaptation How To Perfectly Wrap Gifts Of All Shapes And Sizes Using Maths Coin tosses are not 50/50: Researchers find a slight bias Improved information and communication technology infrastructure leads to better math skills, research suggests How Spiral Search Patterns And Lateral Thinking Cracked Our Puzzle
October 2023
Economists propose algorithm for flexible management of innovative enterprise for sustainable development Labour’s plan to focus on early maths is solid – gaps in achievement start even before primary school AI Is Helping Mathematicians Build A Periodic Table Of Shapes Win $12k By Rediscovering The Secret Phrases That Secure The Internet Students understand calculus better when the lessons are active Flipped coins found not to be as fair as thought Mathematical bedtime stories may build better mathematical memory Researchers: Forensic science method for firearm identification is flawed Calling Maths Teachers: Here are Tips to Flip Your Classroom Mathematical proof reveals new insights into typhoon dynamics Hermit ‘scribblings’ of eccentric French math genius unveiled Counting by tens shows a sophistication of young children’s understanding of number concepts, study finds Many Wordle users cheat to win, says mathematics expert The Easy Trick to Evenly Cut a Pizza Into 5, 7 or Any Number of Slices
September 2023
Are US teenagers more likely than others to exaggerate their math abilities? Study says yes Mathematician proves that Möbius band must have an aspect ratio greater than √3 Can Math Help Students Become Better Engineers? The ‘science of reading’ swept reforms into classrooms nationwide. What about math? Mathematicians Find 12,000 Solutions For Fiendish Three-Body Problem Fireflies, brain cells, dancers: Synchronization research shows nature’s perfect timing is all about connections Team discovers thousands of new transformable knots Exciting the brain could be key to boosting math learning, says new study Statistics can help us figure out how historic battles could have turned out differently, say experts Revamped calculus course improves learning, study finds How The History of Maths is Much More Diverse Than You Think Scientists use new method to calculate the annual probability of a mass shooting
August 2023
Mathematical models may help shed light on body clock disruptions 3 reasons we use graphic novels to teach math and physics The Easy Tricks That Can Maximise Your Lottery Winnings Making sense of life’s random rhythms: Team suggests universal framework for understanding ‘oscillations’ Arithmetic has a biological origin: It’s an expression in symbols of the ‘deep structure’ of our perception An algorithm that shapes objects to cause them to roll down ramps following a desired path Mathematics formula K-theory used to advance understanding of topological materials X marks the unknown in algebra, but X’s origins are a math mystery Scientists develop method to predict the spread of armed conflicts Scientists uncover a surprising connection between number theory and evolutionary genetics How many lottery tickets do you need to buy to guarantee a win? Mathematicians find the answer Mathematicians Find 27 Tickets That Guarantee UK National Lottery Win Study describes evolution of double-sided social norms for cooperative interactions New game theory model describes how people make decisions in changing environments Psychological study suggests arithmetic is biologically-based and a natural consequence of our perception
July 2023
The Stunningly Simple Rule That Will Always Get You Out of a Maze Board games boost math ability in young children, study finds Why putting off college math can be a good idea Team develops a solution for temporal asymmetry Should All Mathematical Proofs Be Checked By A Computer? Two mathematicians explain how building bridges within the discipline helped prove Fermat’s last theorem Mathematicians Calculate 42-Digit Number After Decades Of Trying Combining math with music leads to higher test scores, according to review of 50 years of research Study breaks down science of sports betting How Maths Can Help You Pack Your Shopping More Efficiently What game theory can teach us about standing up to bullies Ninth Dedekind number discovered: Scientists solve long-known problem in mathematics Bridging traditional economics and econophysics
June 2023
How to make better decisions—using scoring systems Sharpening Occam’s Razor: A new perspective on structure and complexity Has a mathematician solved the ‘invariant subspace problem’? And what does that even mean? Decade-Long Struggle Over Maths Proof Could Be Decided By $1m Prize UK hobbyist stuns math world with ‘amazing’ new shapes Exploring how community-based social norms evolve Global symmetry found to be not completely necessary for the protection of topological boundary states Researchers develop online hate speech ‘shockwave’ formula Butterfly chaos effect’ discovered in swarms and herds of animals Implications of no-free-lunch theorems Mathematicians Make Even Better Never-Repeating Tile Discovery Exploring ‘compellingness’ in mechanism design Theoretical study offers proof that one parallel world cannot be extremely different from the other
May 2023
Human crowds are best modelled by a ‘visual neighbourhood’ Machine learning model analyses why couples break up Study: German youth show weaker performance in math, reading and science compared to 2018 Mathematical model based on psychology predicts who will buy trendy products How Maths Reveals The Best Time to Add Milk For Hotter Tea Math teachers hold a bias against girls when the teachers think gender equality has been achieved, says study Math unlocks molecular interactions that open window to how life evolved Venn: The man behind the famous diagrams, and why his work still matters today Expert reveals the fascinating link between math and card shuffling Punctuation in literature of major languages is intriguingly mathematical
April 2023
Declines in math readiness underscore the urgency of math awareness From whiteboard work to random groups, these simple fixes could get students thinking more in maths lessons Statistical Ways of Seeing Things Mathematician Wins Abel Prize For Solving Equations With Geometry
March 2023
Importance of Maths Olympiad for Your Child’s Future
February 2023
Best AI Sites for School Students to Improve their Maths Skills
January 2023
Why Maths, Our Best Tool To Describe The Universe, May Be Fallible How Can You Motivate Students in Mathematics The Mathematician Who Worked Out How To Time Travel
December 2022
Tips to Improve Your Child’s Learning Skills
November 2022
To Make Maths Classes Sizzle, Inject Some Politics And Social Justice Mathematics: Mapping a fixed point Importance of Maths in Kids Daily Life
October 2022
Humans Beat Deepmind Ai In Creating Algorithm To Multiply Numbers Deepmind AI Finds New Way To Multiply Numbers And Speed Up Computers The Number That Is Too Big For The Universe All You Need To Know About International Maths Olympiad Challenge
July 2022
How Many Knots Exist? A New Computing Trick Is Untangling The Answer Fields Medal 2022: Work On Prime Numbers And Spheres Wins Maths Prize Researchers investigate the veracity of ‘six degrees of separation’
June 2022
Here’s the best way to shuffle a pack of cards – with a little help from some maths Eleven games and activities for parents to encourage maths in early learning AI Translates Maths Problems Into Code To Make Them Easier To Solve “X” Marks the Spot: Finding the Center of Mass What Are the Chances?
May 2022
Maths: why many great discoveries would be impossible without it Nothing matters: how the invention of zero helped create modern mathematics Unraveling the Mathematics of Smell
April 2022
Five ways ancient India changed the world – with maths How statistical thinking should shape the courtroom Thinking about How and Why We Prove
March 2022
There’s a mathematical formula for choosing the fastest queue Why do we need to know about prime numbers with millions of digits? The Unforgiving Math That Stops Epidemics
February 2022
How to avoid a sucker bet – with a little help from maths The Mathematics of Cake Cutting
January 2022
A newly discovered prime number makes its debut The Mathematics of (Hacking) Passwords
December 2021
Mathematics: forget simplicity, the abstract is beautiful – and important The Ditherer’s Mean
November 2021
The math behind the perfect free throw “The Danger of a Single Story” in Mathematics
October 2021
How To Prepare For International Maths Olympiad? The genius at Guinness and his statistical legacy Pi in the Sky
September 2021
On his 250th birthday, Joseph Fourier’s math still makes a difference Peculiar Pattern Found in “Random” Prime Numbers
August 2021
Why prime numbers still fascinate mathematicians, 2,300 years later Measure Earth’s Circumference with a Shadow
July 2021
Learning from Bertrand Russell in today’s tumultuous world Mathematicians Measure Infinities, and Find They’re Equal
June 2021
Maria Agnesi, the greatest female mathematician you’ve never heard of Dialogic Teaching Mathematicians Are Overselling the Idea That “Math Is Everywhere”
May 2021
Mastery Learning Vs Performance-Oriented Learning, and Why Should Teachers Care? How to cheat at dice – from an expert in games Math Fun with a Perimeter Magic Triangle The Central Limit Theorem
April 2021
Math shows how DNA twists, turns and unzips Is the Mathematical World Real?
March 2021
Let’s teach students why math matters in the real world Inspired by Genius: How a Mathematician Found His Way
February 2021
Has one of math’s greatest mysteries, the Riemann hypothesis, finally been solved? If Mathematicians Were in Charge of Punctuation
January 2021
Can bees do maths? Yes – new research shows they can add and subtract Human Body Ratios
December 2020
Using computers to crack open centuries-old mathematical puzzles How to Look at Art: A Mathematician’s Perspective
November 2020
What happens when a raindrop hits a puddle? How to Confuse a Traveling Mathematician
October 2020
Mathematics of scale: Big, small and everything in between How Math Puzzles Help You Plan the Perfect Party
September 2020
Mathematics is about wonder, creativity and fun, so let’s teach it that way How Math Helped Me Learn Early Music
August 2020
A Hippocratic Oath for data science? We’ll settle for a little more data literacy How Does a Mathematician’s Brain Differ from That of a Mere Mortal?
July 2020
What was the first computer? Fractions: Where It All Goes Wrong
June 2020
Bees can learn higher numbers than we thought – if we train them the right way Bizarre Proof to Torment Mathematicians for Years to Come
May 2020
Nicolas Bourbaki: The greatest mathematician who never was How Teachers Can Help Students Defeat Their Fear of Maths? 3 Revolutionary Women of Mathematics
April 2020
Pi Day: How To Calculate Pi Using A Cardboard Tube And A Load Of Balls Facebook’s AI Mathematician Can Solve University Calculus Problems The Whole is Equivalent to Some of Its Parts AI is Helping Tackle One of The Biggest Unsolved Problems In Maths Mathematicians Find a Completely New Way to Write The Number 3
March 2020
Mathematicians Crack Elusive Puzzle Involving The Number 42 Purposeful Planning Math Anxiety in Students With and Without Math Learning Difficulties Google Has Created a Maths AI That Has Already Proved 1200 Theorems
February 2020
We Could Solve The Biggest Problem in Maths in The Next Decade What The Mathematics of Knots Reveals About The Shape of The Universe Deepmind Created a Maths AI That Can Add Up To 6 But Gets 7 Wrong Mathematicians Have Found a New Way to Multiply Two Numbers Together
January 2020
Mathematician Cracks Centuries-Old Problem About The Number 33 Viewing Matrices & Probability as Graphs Physicists are Turning to Lewis Carroll For Help With Their Maths Infinity War: The Ongoing Battle Over The World’s Hardest Maths Proof
December 2019
Theorem of Everything: The Secret That Links Numbers and Shapes Five Ways to Reduce Math Anxiety in Kids: What Parents Can Do Commutative Diagrams Explained
November 2019
Some Notes on Taking Notes Mathematicians Shocked to Find Pattern in ‘Random’ Prime Numbers Graduate School: Where Grades Don’t Matter
October 2019
Necessary vs. Sufficient? Mathematicians Invent New Way to Slice Pizza into Exotic Shapes Crowds Beat Computers in Answer to Wikipedia-Sized Maths Problem Real Talk: Math is Hard, Not Impossible
September 2019
On Constructing Functions, Part 5 Maximal ≠ Maximum! On Constructing Functions, Part 4 Make mine a double: Moore’s Law and the future of mathematics
August 2019
Algebraic Elements Are Like Limit Points! On Constructing Functions, Part 3 On Constructing Functions, Part 2 On Constructing Functions, Part 1
July 2019
The Integral Domain Hierarchy, Part 2 The Integral Domain Hierarchy, Part 1 Ways to Show a Group is Abelian A Math SaiBlog? Say What?
June 2019
Why Expanding Access to Algebra is a Matter of Civil Rights Mathematical model reveals commonality within the diversity of leaf decay ‘Models of everything’ created to improve accuracy of long-term weather forecasting Math algorithm tracks crime, rumours, epidemics to source
May 2019
Mathematicians use network theory to model champion Spanish soccer team’s style Maths tells when to be more alert on the roads Math professor’s side mirror that eliminates ‘blind spot’ receives US patent Shedding light on complex mathematical group theories Mathematicians can conjure matter waves inside an invisible hat
April 2019
Freezing liquids helps to predict the properties of prime numbers Healing with math Yes, there’s a numeracy crisis – so what’s the solution? Contact networks have no influence on cooperation among individuals
March 2019
Leading education publisher uses SpaceMath@NASA to help students master mathematics The mathematics of jury size: Statistical model shows several interesting properties of US jury configurations On the hunt for mathematical beauty Mathematical methods help predict movement of oil and ash following environmental disasters
February 2019
Making sports statistics more scientific Flight of the bumblebee decoded by mathematicians Researchers create first large-scale model of human mobility that incorporates human nature
January 2019
Hot And Bothered: The Uncertain Mathematics Of Global Warming Hot and bothered: the uncertain mathematics of global warming Applying math to design new materials and processes for drug manufacturing Good at Sudoku? Here’s Some You’ll Never Complete Researchers find classical musical compositions adhere to power law
December 2018
Good at Sudoku? Here’s some you’ll never complete Putting the magic into maths Super Models – Using Maths to Mitigate Natural Disasters Super models – using maths to mitigate natural disasters
November 2018
Make Mine a Double: Moore’s Law And The Future of Mathematics ‘Touch’ TV series uses numbers to connect people Mathematics confirm the chaos of the Spanish labor market
October 2018
Strategic player challenges tip matches The numbers game The faster-than-fast Fourier transform Are Pigeons as Smart as Primates? You can Count on It
September 2018
Time for a change. Scholars say the calendar needs a serious overhaul! Everything you need to know about statistics (but were afraid to ask) Paddlefish sensors tuned to detect signals from zooplankton prey Are pigeons as smart as primates? You can count on it Calls for a posthumous pardon … but who was Alan Turing?
August 2018
Calls For a Posthumous Pardon … But Who was Alan Turing? Everything You Need To Know About Statistics (But Were Afraid To Ask) Protecting confidential data with math
July 2018
Digital alchemy: Sir Isaac Newton’s papers now online Digital Alchemy: Sir Isaac Newton’s Papers Now Online Cambridge University puts Newton’s papers online Study debunks myths about gender and math performance
June 2018
Millennium Prize: The Yang-Mills Existence and Mass Gap problem Researchers link patterns seen in spider silk, melodies Danger of Death: Are We Programmed to Miscalculate Risk? Heads up Kobe Bryant! Research shows that trying for another 3-pointer is a mistake
May 2018
Researchers find best routes to self-assembling 3-D shapes Millennium Prize: the Birch and Swinnerton-Dyer Conjecture Millennium Prize: The Poincaré Conjecture Statistically significant
April 2018
Millennium Prize: P vs NP Millennium Prize: The Hodge Conjecture Millennium Prize: the Navier–Stokes existence and uniqueness problem Millennium Prize: The Navier–Stokes Existence And Uniqueness Problem
March 2018
Millennium Prize: the Riemann Hypothesis How far away is everybody? Climbing the cosmic distance ladder A revolution in knot theory Explainer: Evolutionary Algorithms
February 2018
How Far Away is Everybody? Climbing The Cosmic Distance Ladder Science, maths and the future of Australia Where is Everybody? Doing the Maths on Extraterrestrial Life Science, Maths and The Future of Australia
January 2018
Where is everybody? Doing the maths on extraterrestrial life Peer Review: The Fallacy of Fine-Tuning Cutting Cake (And Eating it Too) – The Sticky Maths of Fair Division Cutting cake (and eating it too) – the sticky maths of fair division
December 2017
Factor Lattices Magic numbers: the beauty of decimal notation Magic Numbers: The Beauty Of Decimal Notation Getting Projections Right: Predicting Future Climate Octonions: The Strange Maths That Could Unite The Laws Of Nature How linguists are unlocking the meanings of Shakespeare’s words using numbers
November 2017
Explainer: the point of pure mathematics Mathematics: Why We Need More Qualified Teachers Explainer: The Point of Pure Mathematics Mathematics: Why we need more qualified teachers
October 2017
Timetables – Hard to Read, Even Harder to Build If I Had a Blank Cheque I’d … Turn IBM’s Watson Into a Maths Genius Want To Win at Gambling? Use Your Head
September 2017
The Million-Dollar Puzzle That Could Change The World Superman Returns – But Who’s Looking After His Water? Are Pi’s Days Numbered? Quadratic Number Spirals and Polygonal Numbers
August 2017
Generating Random Walks in Mathematics Quasi-regular Rhombic Tiling and Polyhedron Pascal’s Triangle and Polygonal opsgf’s Spherical Tetrahedron
July 2017
A Family of Sequences and Number Triangles False Positives in Probability Dividing Polynomials – The Grid Method
June 2017
Farey definition, property, and algorithm Farey, Ford, & Fathom Another Triangular Number Formula The Sequence of Primes
May 2017
Triangular Numbers and Euler’s Number Triangle Metaphors and Mathematics 4 The Humble Multiplication Table, 1 Secant and Tangent Metaphors and Mathematics 3
April 2017
Metaphors and Mathematics 1 Window Patterns Star Polygons Extended Multiplication Tables
March 2017
Phyllotaxis Spirals 2 Metaphors and Mathematics 2 Cut-and-Glue Polyhedral Models Phyllotaxis Spirals
February 2017
Polygonal Number Formulas Sonobe Phizz Duality Digit Patterns in Power Sequences Higher Polygonal Numbers and Pascal’s Triangle
January 2017
Pi Color Map Digit Patterns in Square Numbers Sonobe cut-out-module Drawing Polygonal Numbers
June 2016
This Turing Machine Should Run Forever Unless Maths is Wrong
May 2015
From English to Math
August 2011
If I had a blank cheque, I’d … turn IBM’s Watson into a maths genius
April 2009
Decimals to Fractions Pi’s first six in a row Monty Hall and the Three Prisoners

Quasi-regular Rhombic Tiling and Polyhedron

Published on: August 12, 2017

It could be argued that the square is the ‘nicest’ rhombus, but the rhombus with angles ...
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Pascal’s Triangle and Polygonal opsgf’s

Published on: August 6, 2017

The diagram above illustrates a surprising correspondence – if you take the reciprocal of a particul ...
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Spherical Tetrahedron

Published on: August 5, 2017

Imagine a tetrahedron centered inside a sphere. If you were to project the edges of the tetrahedron ...
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A Family of Sequences and Number Triangles

Published on: July 20, 2017

The triangular numbers (and higher triangular numbers) can be generated using this recurrence relati ...
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False Positives in Probability

Published on: July 15, 2017

There are plenty of probability problems that have counter-intuitive solutions. Problems like these, ...
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Dividing Polynomials – The Grid Method

Published on: July 10, 2017

Students generally learn to divide polynomials using  long division or synthetic division. This post ...
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Farey definition, property, and algorithm

Published on: June 18, 2017

Here is an outline of how you can go about generating this data. The definition and properties of Fa ...
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Farey, Ford, & Fathom

Published on: June 15, 2017

Chapter 3 of Hardy & Wright’s An Introduction to the Theory of Numbers involves Farey sequ ...
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Another Triangular Number Formula

Published on: June 10, 2017

The double recurrence relation that defines the higher triangular numbers is a simple one – it ...
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The Sequence of Primes

Published on: June 4, 2017

As I make my way through Hardy & Wright’s An Introduction to the Theory of Numbers,  I am ...
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Triangular Numbers and Euler’s Number Triangle

Published on: May 25, 2017

There is a nice identity stating that a square number can be written as the sum of two subsequent tr ...
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Metaphors and Mathematics 4

Published on: May 22, 2017

If mathematics is a game, then playing some game is doing mathematics, and in that case why isn ...
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The Humble Multiplication Table, 1

Published on: May 20, 2017

A surprising relationship found in the multiplication table is that the sum of the entries in the ma ...
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Secant and Tangent

Published on: May 16, 2017

The names of the trigonometric ratios tangent and secant are derived from the Latin “to touch” and “ ...
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Metaphors and Mathematics 3

Published on: May 7, 2017

In many traditions, Biedermann’s Dictionary of Symbols tells us, “the tree was widely se ...
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Metaphors and Mathematics 1

Published on: April 20, 2017

When asked to describe mathematics we often resort to metaphor rather than attempt to provide strict ...
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