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Topological Puzzles
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In this activity, learners construct three math puzzles out of simple materials like wood, string, and Styrofoam.

Treasure Hunt: Finite-State Automata
In this computer science activity about finite-state automaton (on page 45 of the PDF), learners use a map and choose various pathways to find Treasure Island.
One-Cut Paper Stars
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Here's a very simple activity if you have paper and scissors: make one cut, unfold, and you have a beautiful star! A great way to learn about polygons and origami mathematics.