Ivars Peterson
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All Stories by Ivars Peterson
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MathExtra Time, Math, and the SAT
Extra time on the math portion of the SAT helps the most able students the most.
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MathCounting on Fibonacci
Fibonacci numbers and their relationships can be visualized in terms of tilings.
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MathProgressive Primes
Prime numbers have all sorts of remarkable and mysterious properties. Evenly divisible only by themselves and 1, primes can’t be written as the product of smaller positive integers. There are infinitely many of them, and they appear to be scattered somewhat haphazardly among the whole numbers. It’s not yet known if there are infinitely many […]
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MathFrom Number Puzzles to Automata
A high school student plays with numbers and does an award-winning project elucidating the link between automata and divisibility.
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MathRiding on Square Wheels
A square wheel can roll smoothly if it travels over a roadway of the right geometric shape.
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MathPinpointing Killer Asteroids
Two award-winning high school students' projects focused on new methods for pinpointing asteroids locations.
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MathDeriving the Structure of Numbers
A novel mathematical function called the number derivative offers new insights into the structure of integers.
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MathMapping Scientific Frontiers
Can computer visualization help identify turning points and milestones in scientific discovery?
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MathMining the Tagged Web
IBM's WebFountain project gathers and annotates Web content on a vast scale to serve as a platform for data miners.
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MathSculpting with a Twist
There’s more than one way to slice a bagel. A bagel (or a doughnut) can serve as a physical model for a mathematical surface called a torus. You can slice it horizontally (or longitudinally) so that you end up with two halves, each containing a hole. That’s great for making sandwiches because the cut exposes […]