Bowen Kerins, Darryl Yong, Al Cuoco, Glenn Stevens, Mary Pilgrim Fractions, Tilings, and Geometry 9781470440640

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Автор: Bowen Kerins, Darryl Yong, Al Cuoco, Glenn Stevens, Mary Pilgrim
Название: Fractions, Tilings, and Geometry
ISBN: 9781470440640
Издательство: Mare Nostrum (Eurospan)
Классификация:

Преподавание отдельных предметов

Прикладная математика

ISBN-10: 1470440644
Обложка/Формат: Paperback
Страницы: 157
Вес: 0.00 кг.
Дата издания: 28.02.2018
Серия: Ias/pcmi--the teacher program series
Язык: English
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Teaching of a specific subject,Applied mathematics
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Поставляется из: Англии
Описание: Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Fractions, Tilings, and Geometry is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute.The overall goal of the course is an introduction to non-periodic tilings in two dimensions and space-filling polyhedra. While the course does not address quasicrystals, it provides the underlying mathematics that is used in their study. Because of this goal, the course explores Penrose tilings, the irrationality of the golden ratio, the connections between tessellations and packing problems, and Voronoi diagrams in 2 and 3 dimensions. These topics all connect to precollege mathematics, either as core ideas (irrational numbers) or enrichment for standard topics in geometry (polygons, angles, and constructions).But this book isnt a ``course in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes. These materials provide participants with the opportunity for authentic mathematical discovery--participants build mathematical structures by investigating patterns, use reasoning to test and formalize their ideas, offer and negotiate mathematical definitions, and apply their theories and mathematical machinery to solve problems.Fractions, Tilings, and Geometry 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.
Дополнительное описание: Teaching of a specific subject|Applied mathematics

Fractions, Tilings, and Geometry, Bowen Kerins, Darryl Yong, Al Cuoco, Glenn Stevens, Mary Pilgrim