Proofs without Words II

Author: Roger B. Nelsen

Publisher: Mathematical Association of America

ISBN: 9780883857212

Category: Mathematics

Page: 142

View: 872

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Like its predecessor, Proofs without Words, this book is a collection of pictures or diagrams that help the reader see why a particular mathematical statement may be true, and how one could begin to go about proving it. While in some proofs without words an equation or two may appear to help guide that process, the emphasis is clearly on providing visual clues to stimulate mathematical thought. The proofs in this collection are arranged by topic into five chapters: geometry and algebra; trigonometry, calculus and analytic geometry; inequalities; integer sums; and sequences and series. Teachers will find that many of the proofs in this collection are well suited for classroom discussion and for helping students to think visually in mathematics.

Digitale Medien im Mathematikunterricht der Grundschule

Author: Günter Krauthausen

Publisher: Springer-Verlag

ISBN: 3827422779

Category: Education

Page: 296

View: 4714

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Im Mathematikunterricht der Grundschule werden PCs zumeist mit Trainingsprogrammen genutzt. Dies bedeutet eine erhebliche Einschränkung, weil es vielfältige sinnvolle Möglichkeiten für den Einsatz von PCs im Unterricht gibt, die eine wertvolle Bereichung für das Lernen darstellen können. Die vorliegende Publikation zeichnet sich durch einen Fokus auf die Mathematikdidaktik aus. Ziel ist, fachdidaktisch begründete Chancen digitaler Medien für einen zeitgemäßen Mathematikunterricht auszuschöpfen. In Anlehnung an seit Jahren entwickelte und erprobte fachdidaktische Konzepte wollen wir in diesem Buch v. a. diese mathematikdidaktische Perspektive in den Vordergrund stellen. Wir laden Sie ein, sich im Rahmen von konkreten Aufgaben- und Fragestellungen eine eigene fundierte Meinung und Position zu bilden. Zur Begründung dienen konsequent die fachdidaktischen Gütekriterien für einen „sach-gerechten“ Einsatz digitaler Medien im Mathematikunterricht der Grundschule.

Proofs Without Words III

Further Exercises in Visual Thinking

Author: Roger B. Nelsen

Publisher: The Mathematical Association of America

ISBN: 0883857901

Category: Mathematics

Page: 187

View: 1640

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Proofs without words (PWWs) are figures or diagrams that help the reader see why a particular mathematical statement is true, and how one might begin to formally prove it true. PWWs are not new, many date back to classical Greece, ancient China, and medieval Europe and the Middle East. PWWs have been regular features of the MAA journals Mathematics Magazine and The College Mathematics Journal for many years, and the MAA published the collections of PWWs Proofs Without Words: Exercises in Visual Thinking in 1993 and Proofs Without Words II: More Exercises in Visual Thinking in 2000. This book is the third such collection of PWWs. The proofs in the book are divided by topic into five chapters: Geometry & Algebra; Trigonometry, Calculus & Analytic Geometry; Inequalities; Integers & Integer Sums; and Infinite Series & Other Topics. The proofs in the book are intended primarily for the enjoyment of the reader, however, teachers will want to use them with students at many levels: high school courses from algebra through precalculus and calculus; college level courses in number theory, combinatorics, and discrete mathematics; and pre-service and in-service courses for teachers.

Biscuits of Number Theory

Author: Arthur T. Benjamin,Ezra Brown

Publisher: MAA

ISBN: 9780883853405

Category: Mathematics

Page: 311

View: 6043

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An anthology of articles designed to supplement a first course in number theory.

The Calculus Collection

A Resource for AP and Beyond

Author: Caren L. Diefenderfer,Roger B. Nelsen

Publisher: MAA

ISBN: 9780883857618

Category: Juvenile Nonfiction

Page: 507

View: 6716

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The Calculus Collection is a useful resource for everyone who teaches calculus, in high school or in a 2- or 4-year college or university. It consists of 123 articles, selected by a panel of six veteran high school teachers, each of which was originally published in Math Horizons, MAA Focus, The American Mathematical Monthly, The College Mathematics Journal, or Mathematics Magazine. The articles focus on engaging students who are meeting the core ideas of calculus for the first time. The Calculus Collection is filled with insights, alternate explanations of difficult ideas, and suggestions for how to take a standard problem and open it up to the rich mathematical explorations available when you encourage students to dig a little deeper. Some of the articles reflect an enthusiasm for bringing calculators and computers into the classroom, while others consciously address themes from the calculus reform movement. But most of the articles are simply interesting and timeless explorations of the mathematics encountered in a first course in calculus.The MAA has twice previously issued a calculus reader, collecting articles on calculus from its journals: Selected Papers in Calculus, published in 1969 and reprinted as Part I of A Century of Calculus, and Part II published in 1992. In a sense The Calculus Collection is the third volume in that series, but different in that it is a collection chosen for its usefulness to those who teach first-year calculus in high schools as well as colleges and universities.

Mathematical Connections

A Companion for Teachers and Others

Author: Al Cuoco

Publisher: Cambridge University Press

ISBN: 9780883857397

Category: Mathematics

Page: 239

View: 6066

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This book contains key topics that form the foundations for high-school mathematics.

Books in Print

Author: N.A

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 600

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Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.

Choice

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Best books

Page: N.A

View: 8389

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Think It, Show It Mathematics: Strategies for Explaining Thinking

Author: Gregory A. Denman

Publisher: Teacher Created Materials

ISBN: 142589528X

Category: Education

Page: 0

View: 1066

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This timely book for grades 3-8 provides step-by-step strategies for developing students' clear, concise writing and discussion skills about math problems. Strategy instruction is supported by the included student activities, rubrics, and exemplar writing samples. The Digital Resource CD contains student activity pages and graphic organizers.