Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Moving Things Around is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. But this book isn't a ``course'' in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves. The goal of Moving Things Around is to help participants make what might seem to be surprising connections among seemingly different areas: permutation groups, number theory, and expansions for rational numbers in various bases, all starting from the analysis of card shuffles. Another goal is to use these connections to bring some coherence to several ideas that run throughout school mathematics-rational number arithmetic, different representations for rational numbers, geometric transformations, and combinatorics. The theme of seeking structural similarities is developed slowly, leading, near the end of the course, to an informal treatment of isomorphism. Moving Things Around is a volume of the book series IAS/PCMI-The Teacher Program Series published by the American Mathematical Society. Each volume in this series covers the content of one Summer School Teacher Program year and is independent of the rest.
Kids will love this hilarious fairy tale adventure packed with clever twists, familiar characters and page-turning fun.
The second book in a fabulous new magical, middle-grade series filled with adventure, wonder and wildness,
This is Book 2 in the IAS/PCMI--The Teacher Program Series Series. See all IAS/PCMI--The Teacher Program Series books here.
See More Educational: Mathematics & numeracy
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Bowen Kerins , Education Development Center, Waltham, MA, USA.
Darryl Yong , Harvey Mudd College, Claremont, CA, USA.
Al Cuoco , Education Development Center, Waltham, MA, USA.
Glenn Stevens , Boston University, MA, USA.
Bowen Kerins , Education Development Center, Waltham, MA, USA.
Darryl Yong , Harvey Mudd College, Claremont, CA, USA.
Al Cuoco , Education Development Center, Waltham, MA, USA.
Glenn Stevens , Boston University, MA, USA.
Bowen Kerins , Education Development Center, Waltham, MA, USA.
Darryl Yong , Harvey Mudd College, Claremont, CA, USA.
Al Cuoco , Education Development Center, Waltham, MA, USA.
Glenn Stevens , Boston University, MA, USA.
