Bowen Kerins's Books

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

By: Bowen Kerins,Darryl Yong,Al Cuoco,Glenn Steven,Mary Pilgrim

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

By: Bowen Kerins,Darryl Yong,Al Cuoco,Glenn Steven,Mary Pilgrim

Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Some Applications of Geometric Thinking 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 Some Applications of Geometric Thinking is to help teachers see that geometric ideas can be used throughout the secondary school curriculum, both as a hub that connects ideas from all parts of secondary school and beyond—algebra, number theory, arithmetic, and data analysis—and as a locus for applications of results and methods from these fields. Some Applications of Geometric Thinking 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. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.

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Page Count

234

Publisher

American Mathematical Soc.

Published Date

ISBN 10

147042925X

ISBN 13

9781470429256

Probability and Games

By: Bowen Kerins,Darryl Yong,Al Cuoco,Glenn Stevens,Mary Pilgrim

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Probability and Games

By: Bowen Kerins,Darryl Yong,Al Cuoco,Glenn Stevens,Mary Pilgrim

Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Probability and Games is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. This course leads participants through an introduction to probability and statistics, with particular focus on conditional probability, hypothesis testing, and the mathematics of election analysis. These ideas are tied together through low-threshold entry points including work with real and fake coin-flipping data, short games that lead to key concepts, and inroads to connecting the topics to number theory and algebra. 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. 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. Probability and Games 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.

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Page Count

152

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470440636

ISBN 13

9781470440633

Applications of Algebra and Geometry to the Work of Teaching

By: Bowen Kerins,Benjamin Sinwell, Darryl Yong,Al Cuoco,Glenn Stevens

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Applications of Algebra and Geometry to the Work of Teaching

By: Bowen Kerins,Benjamin Sinwell, Darryl Yong,Al Cuoco,Glenn Stevens

Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Applications of Algebra and Geometry to the Work of Teaching 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 specific theme developed in Applications of Algebra and Geometry to the Work of Teaching is the use of complex numbers--especially the arithmetic of Gaussian and Eisenstein integers--to investigate some questions that are at the intersection of algebra and geometry, like the classification of Pythagorean triples and the number of representations of an integer as the sum of two squares. Applications of Algebra and Geometry to the Work of Teaching is a volume of the book series "IAS/PCMI-The Teacher Program Series" published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.

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Page Count

202

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470419246

ISBN 13

9781470419240

Famous Functions in Number Theory

By: Bowen Kerins, Darryl Yong,Al Cuoco,Glenn Stevens

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Famous Functions in Number Theory

By: Bowen Kerins, Darryl Yong,Al Cuoco,Glenn Stevens

Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Famous Functions in Number Theory 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. Famous Functions in Number Theory introduces readers to the use of formal algebra in number theory. Through numerical experiments, participants learn how to use polynomial algebra as a bookkeeping mechanism that allows them to count divisors, build multiplicative functions, and compile multiplicative functions in a certain way that produces new ones. One capstone of the investigations is a beautiful result attributed to Fermat that determines the number of ways a positive integer can be written as a sum of two perfect squares. Famous Functions in Number Theory is a volume of the book series "IAS/PCMI-The Teacher Program Series" published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.

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Page Count

218

Publisher

American Mathematical Soc.

Published Date

ISBN 10

147042195X

ISBN 13

9781470421953

Probability through Algebra

By: Bowen Kerins,Benjamin Sinwell,Al Cuoco,Glenn Stevens

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Probability through Algebra

By: Bowen Kerins,Benjamin Sinwell,Al Cuoco,Glenn Stevens

Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Probability through Algebra 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 specific themes developed in Probability through Algebra introduce readers to the algebraic properties of expected value and variance through analysis of games, to the use of generating functions and formal algebra as combinatorial tools, and to some applications of these ideas to questions in probabilistic number theory. Probability through Algebra is a volume of the book series "IAS/PCMI-The Teacher Program Series" published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.

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Page Count

172

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470419254

ISBN 13

9781470419257

Linear Algebra and Geometry

By: Al Cuoco,Kevin Waterman,Bowen Kerins,Elena Kaczorowski,Michelle Manes

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Linear Algebra and Geometry

By: Al Cuoco,Kevin Waterman,Bowen Kerins,Elena Kaczorowski,Michelle Manes

Linear Algebra and Geometry is organized around carefully sequenced problems that help students build both the tools and the habits that provide a solid basis for further study in mathematics. Requiring only high school algebra, it uses elementary geometry to build the beautiful edifice of results and methods that make linear algebra such an important field. The materials in Linear Algebra and Geometry have been used, field tested, and refined for over two decades. It is aimed at preservice and practicing high school mathematics teachers and advanced high school students looking for an addition to or replacement for calculus. Secondary teachers will find the emphasis on developing effective habits of mind especially helpful. The book is written in a friendly, approachable voice and contains nearly a thousand problems. An instructor's manual for this title is available electronically to those instructors who have adopted the textbook for classroom use. Please send email to textbooks@ams.org for more information.

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Page Count

575

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470443503

ISBN 13

9781470443504

Fractions, Tilings, and Geometry

By: Bowen Kerins,Darryl Yong,Al Cuoco,Glenn Stevens,Mary Pilgrim

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Fractions, Tilings, and Geometry

By: Bowen Kerins,Darryl Yong,Al Cuoco,Glenn Stevens,Mary Pilgrim

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 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. 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.

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Page Count

172

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470440644

ISBN 13

9781470440640

Probability through Algebra

By: Bowen Kerins,Benjamin Sinwell,Al Cuoco,Glenn Stevens

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Probability through Algebra

By: Bowen Kerins,Benjamin Sinwell,Al Cuoco,Glenn Stevens

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Page Count

172

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470419254

ISBN 13

9781470419257

Fractions, Tilings, and Geometry

By: Bowen Kerins,Darryl Yong,Al Cuoco,Glenn Stevens,Mary Pilgrim

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Fractions, Tilings, and Geometry

By: Bowen Kerins,Darryl Yong,Al Cuoco,Glenn Stevens,Mary Pilgrim

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Page Count

172

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470440644

ISBN 13

9781470440640

Famous Functions in Number Theory

By: Bowen Kerins, Darryl Yong,Al Cuoco,Glenn Stevens

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Famous Functions in Number Theory

By: Bowen Kerins, Darryl Yong,Al Cuoco,Glenn Stevens

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Page Count

218

Publisher

American Mathematical Soc.

Published Date

ISBN 10

147042195X

ISBN 13

9781470421953

Probability and Games

By: Bowen Kerins,Darryl Yong,Al Cuoco,Glenn Stevens,Mary Pilgrim

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Probability and Games

By: Bowen Kerins,Darryl Yong,Al Cuoco,Glenn Stevens,Mary Pilgrim

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Page Count

152

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470440636

ISBN 13

9781470440633

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

By: Bowen Kerins,Darryl Yong,Al Cuoco,Glenn Stevens,Mary Pilgrim

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

By: Bowen Kerins,Darryl Yong,Al Cuoco,Glenn Stevens,Mary Pilgrim

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.

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Page Count

150

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470429268

ISBN 13

9781470429263

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

By: Bowen Kerins,Darryl Yong,Al Cuoco,Glenn Steven,Mary Pilgrim

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

By: Bowen Kerins,Darryl Yong,Al Cuoco,Glenn Steven,Mary Pilgrim

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Solve jigsaw puzzle

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Page Count

234

Publisher

American Mathematical Soc.

Published Date

ISBN 10

147042925X

ISBN 13

9781470429256

Linear Algebra and Geometry

By: Al Cuoco,Kevin Waterman,Bowen Kerins,Elena Kaczorowski,Michelle Manes

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Linear Algebra and Geometry

By: Al Cuoco,Kevin Waterman,Bowen Kerins,Elena Kaczorowski,Michelle Manes

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Page Count

575

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470443503

ISBN 13

9781470443504

Moving Things Around

By: Bowen Kerins,Albert Cuoco,Darryl Yong,Glenn Stevens,Mary Pilgrim

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Moving Things Around

By: Bowen Kerins,Albert Cuoco,Darryl Yong,Glenn Stevens,Mary Pilgrim

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

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Page Count

137

Published Date

ISBN 10

1470435365

ISBN 13

9781470435363

Applications of Algebra and Geometry to the Work of Teaching

By: Bowen Kerins,Benjamin Sinwell, Darryl Yong,Al Cuoco,Glenn Stevens

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Applications of Algebra and Geometry to the Work of Teaching

By: Bowen Kerins,Benjamin Sinwell, Darryl Yong,Al Cuoco,Glenn Stevens

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Solve jigsaw puzzle

Age

Page Count

202

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470419246

ISBN 13

9781470419240

Fractions, Tilings, and Geometry

By: Bowen Kerins,Darryl Yong,Albert Cuoco,Glenn Stevens,Mary Pilgrim

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Fractions, Tilings, and Geometry

By: Bowen Kerins,Darryl Yong,Albert Cuoco,Glenn Stevens,Mary Pilgrim

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Page Count

172

Published Date

ISBN 10

1470443406

ISBN 13

9781470443405

Some Applications of Geometric Thinking

By: Bowen Kerins,Darryl Yong,Albert Cuoco,Glenn Stevens,Mary Pilgrim

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Some Applications of Geometric Thinking

By: Bowen Kerins,Darryl Yong,Albert Cuoco,Glenn Stevens,Mary Pilgrim

Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Some Applications of Geometric Thinking 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 Some Applications of Geometric Thinking is to help teachers see that geometric ideas can be used throughout the secondary school curriculum, both as a hub that connects ideas from all parts of secondary school and beyond-algebra, number theory, arithmetic, and data analysis-and as a locus for applications of results and methods from these fields. Some Applications of Geometric Thinking 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

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