Chases and Escapes

Chases and Escapes PDF

Author: Paul J. Nahin

Publisher: Princeton University Press

Published: 2012-07-22

Total Pages: 272

ISBN-13: 1400842069

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We all played tag when we were kids. What most of us don't realize is that this simple chase game is in fact an application of pursuit theory, and that the same principles of games like tag, dodgeball, and hide-and-seek are also at play in military strategy, high-seas chases by the Coast Guard, and even romantic pursuits. In Chases and Escapes, Paul Nahin gives us the first complete history of this fascinating area of mathematics, from its classical analytical beginnings to the present day. Drawing on game theory, geometry, linear algebra, target-tracking algorithms, and much more, Nahin also offers an array of challenging puzzles with their historical background and broader applications. Chases and Escapes includes solutions to all problems and provides computer programs that readers can use for their own cutting-edge analysis. Now with a gripping new preface on how the Enola Gay escaped the shock wave from the atomic bomb dropped on Hiroshima, this book will appeal to anyone interested in the mathematics that underlie pursuit and evasion. Some images inside the book are unavailable due to digital copyright restrictions.

Guide to Math Materials

Guide to Math Materials PDF

Author: Phyllis J. Perry

Publisher: Bloomsbury Publishing USA

Published: 1997-02-15

Total Pages: 144

ISBN-13: 0313079722

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Now it's easy to locate the materials you need to implement the new NCTM math standards. Organized by such math topics as problem solving, estimation, number sense and numeration, and geometry and spatial relationships, this book shows users where to find manipulatives and materials, such as attribute blocks, pattern blocks, clocks, scales, multilink cubes and prisms, calculators, and sorting toys. It also lists specialized math books, computer software, and a host of other learning materials (e.g., activity cards, puzzles, posters, games, reproducibles). The author briefly describes each product, cites grade level when given, and explains possible applications. Products of exceptional quality and value are highlighted, and the addresses of publishers and suppliers are given. A real time-saver! Grades K-4.

Doing the Scholarship of Teaching and Learning in Mathematics

Doing the Scholarship of Teaching and Learning in Mathematics PDF

Author: Jacqueline M. Dewar

Publisher: The Mathematical Association of America

Published: 2014-11-03

Total Pages: 227

ISBN-13: 0883851938

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The Scholarship of Teaching and Learning (SoTL) movement encourages faculty to view teaching “problems” as invitations to conduct scholarly investigations. In this growing field of inquiry faculty bring their disciplinary knowledge and teaching experience to bear on questions of teaching and learning. They systematically gather evidence to develop and support their conclusions. The results are to be peer reviewed and made public for others to build on. This Notes volume is written expressly for collegiate mathematics faculty who want to know more about conducting scholarly investigations into their teaching and their students’ learning. Envisioned and edited by two mathematics faculty, the volume serves as a how-to guide for doing SoTL in mathematics.

Kits, Games, and Manipulatives for the Elementary School Classroom

Kits, Games, and Manipulatives for the Elementary School Classroom PDF

Author: Andrea C. Hoffman

Publisher: Taylor & Francis

Published: 1993

Total Pages: 636

ISBN-13: 9780824053420

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This comprehensive sourcebook, which identifies and locates kits, games, and manipulatives, is organized into broad subject areas, including reading and language arts, mathematics, social studies, science and health, and the arts. Some 1,500 entries provide physical descriptions of the materials and

Mathematics as a Constructive Activity

Mathematics as a Constructive Activity PDF

Author: Anne Watson

Publisher: Routledge

Published: 2006-04-21

Total Pages: 221

ISBN-13: 113563002X

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Explains and demonstrates the role of examples in the teaching and learning of mathematics, and their place in mathematics generally at all levels. Includes a combination of exercises for the reader, practical applications for teaching, and solid scholarly grounding.

Scientific Inquiry in Mathematics - Theory and Practice

Scientific Inquiry in Mathematics - Theory and Practice PDF

Author: Andrzej Sokolowski

Publisher: Springer

Published: 2018-05-02

Total Pages: 143

ISBN-13: 3319895249

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This valuable resource provides an overview of recent research and strategies in developing and applying modelling to promote practice-based research in STEM education. In doing so, it bridges barriers across academic disciplines by suggesting activities that promote integration of qualitative science concepts with the tools of mathematics and engineering. The volume’s three parts offer a comprehensive review, by 1) Presenting a conceptual background of how scientific inquiry can be induced in mathematics classes considering recommendations of prior research, 2) Collecting case studies that were designed using scientific inquiry process designed for math classes, and 3) Exploring future possibilities and directions for the research included within. Among the topics discussed: · STEM education: A platform for multidisciplinary learning. · Teaching and learning representations in STEM. · Formulating conceptual framework for multidisciplinary STEM modeling. · Exploring function continuity in context. · Exploring function transformations using a dynamic system. Scientific Inquiry in Mathematics - Theory and Practice delivers hands-on and concrete strategies for effective STEM teaching in practice to educators within the fields of mathematics, science, and technology. It will be of interest to practicing and future mathematics teachers at all levels, as well as teacher educators, mathematics education researchers, and undergraduate and graduate mathematics students interested in research based methods for integrating inquiry-based learning into STEM classrooms.

Teaching Mathematics in the Block

Teaching Mathematics in the Block PDF

Author: Carla Hunt

Publisher: Routledge

Published: 2013-10-30

Total Pages: 237

ISBN-13: 1317920686

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Provides detailed instructional strategies, sample lesson plans, and sample assessments so that mathematics teachers can make the best use of the additional time.