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Quadratic Number Spirals and Polygonal Numbers

Take the positive Integer number-line, place it in the xy plane (with zero at the origin), and wrap  ...
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Dialogic Teaching

Dialogue is a key part of all lively classrooms, but how do we ensure this dialogue is effective? Ho ...
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Mathematicians unlock the secrets of ouzo’s cloudy transformation

The ouzo phase diagram. The full figure legend can be found in the corresponding journal paper. Math ...
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Digital alchemy: Sir Isaac Newton’s papers now online

The notebooks of Sir Isaac Newton, who was famously reported to have suffered a (scientifically) ear ...
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Combining math with music leads to higher test scores, according ...

Children do better at math when music is a key part of their lessons, an analysis of almost 50 years ...
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Graduate School: Where Grades Don’t Matter

Yesterday I received a disheartening 44/50 on a homework assignment. Okay okay, I know. 88% isn ...
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Sharpening Occam’s Razor: A new perspective on structure and complexity

In science, the explanation with the fewest assumptions is most likely to be true. Called “Occ ...
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Math unlocks molecular interactions that open window to how life ...

A “window to evolution” has opened after mathematicians uncovered the universal explanat ...
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500-Year-Old Maths Problem Turns Out To Apply To Coffee And ...

A centuries-old maths problem asks what shape a circle traces out as it rolls along a line. The answ ...
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Paddlefish sensors tuned to detect signals from zooplankton prey

In 1997, scientists at the Center for Neurodynamics at the University of Missouri – St. Louis ...
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X marks the unknown in algebra, but X’s origins are ...

Even though “x” is one of the least-used letters in the English alphabet, it appears thr ...
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Science, maths and the future of Australia

Australia faces many big challenges – in the economy, health, energy, water, climate change, infrast ...
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Mathematicians Can’t Agree What ‘Equals’ Means, And That’s A Problem

What does “equals” mean? For mathematicians, this simple question has more than one answ ...
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Physicists Figured Out The Ideal Container Size For Pistachio Shells

A simple experiment and mathematical model suggest that when you snack on pistachios, you may need a ...
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Magic numbers: the beauty of decimal notation

While adding up your grocery bill in the supermarket, you’re probably not thinking how important or ...
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How do neural networks learn? A mathematical formula explains how ...

Neural networks have been powering breakthroughs in artificial intelligence, including the large lan ...
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