Posts

Stepping Stones

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Today we'll look at some puzzles based on Neil Sloane's presentation of the stepping stones puzzle, given in this Numberphile video .

More on Designer Dice

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Here are some more thoughts on implementing the dice activity in the previous post.

Designer Dice

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In this activity, students will design dice with the aim of beating other dice in a rolling face-off.

Arithmetic Twister

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Here we'll look at a physical activity in the vein of the four fours puzzle or 24 game.

Knot Theory Puzzles

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At the Joint Math Meetings, some folks from the VCU Breakthroughs team presented some activities on knots using a silicone necklace manipulative. Today we'll look at a set of puzzles inspired by that.

Group Theory Puzzles

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In this post, we'll look at some puzzles based on the presentations of finite groups that students will approach as a puzzle of turning one string into another according to some rule set.

Polyhedron Puzzles

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As summer approaches, JRMF's plan is to develop a slew of activities to test in the fall. To that end, I'll be trying to post activities more frequently but with less of a mathematical dive. Today we'll look at some puzzles involving making polyhedra from a set of faces.

Sums of Squares

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Today we'll look at an activity that explores different aspects of expressing a positive integer as a sum of squares.

Nanobot Factory

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I've been toying with some potential activities that involve division. Today we'll look at an activity that makes heavy use of division and partitions, skinned as a factory trying to make as many nanobots as possible.

The Pocket Cube

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Rubik's cubes have a strange place in our pop culture as artifacts that only geniuses can solve, but the many guides on solving them have made solution techniques pretty accessible to a wide audience. Mathematicians like them because they provide a shiny introduction to group theory that leave students with a neat party trick. Today we'll look at the "pocket cube" (the 2x2x2 version, typically abbreviated 2x2), which I've had good luck introducing to beginners.