Mathematical Amazements and Surprises

Mathematical Amazements and Surprises

Author: Alfred S. Posamentier

Publisher: Prometheus Books

Published: 2010-03-19

Total Pages: 269

ISBN-13: 1615922946

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With many entertaining examples of mathematical curiosities, educators Posamentier and Lehmann have created the perfect introduction to the wonders of mathematics for the general reader, requiring only a high school background in the subject.


Mathematical Amazements and Surprises

Mathematical Amazements and Surprises

Author: Alfred S. Posamentier

Publisher: Prometheus Books

Published: 2010-03-19

Total Pages: 269

ISBN-13: 1615922946

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With many entertaining examples of mathematical curiosities, educators Posamentier and Lehmann have created the perfect introduction to the wonders of mathematics for the general reader, requiring only a high school background in the subject.


What Successful Math Teachers Do, Grades 6-12

What Successful Math Teachers Do, Grades 6-12

Author: Alfred S. Posamentier

Publisher: Corwin Press

Published: 2013-07-11

Total Pages: 273

ISBN-13: 1452259135

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What works in math and why has never been the issue; the research is all out there. Where teachers struggle is the "how"--Something the research rarely manages to tackle. That's the big service What Successful Math Teachers Do provides. It's a powerful portal to what the best research looks like in practice, strategy by strategy-aligned in this new edition to both the Common Core and the NCTM Standards. How exactly does What Successful Math Teachers Do work? It couldn't be easier to navigate. The book's eleven chapters organize clusters of strategies around a single aspect of a typical instructional program. For each of the 75 strategies, the authors present: A brief description of that strategy A summary of supporting research The NCTM and Common Core Standards it meets--and how Classroom applications, with examples Precautions and possible pitfalls Primary sources for further reading and research.


The Mathematics Coach Handbook

The Mathematics Coach Handbook

Author: Alfred S Posamentier

Publisher: World Scientific

Published: 2018-11-07

Total Pages: 184

ISBN-13: 9813271728

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Many schools throughout the United States are now employing coaches to support teachers in the teaching of mathematics. Very often, these are professionals selected from the current teaching ranks who did not receive any special training to serve as a coach. This book provides the skills, knowledge, and lessons from experience that lead such a mentor to function effectively. Aside from describing the basic duties of an effective math coach, we also provide a plethora of resources to enrich instruction, improve problem-solving direction, and provide teachers with a wide variety of techniques to enhance their teaching effectiveness.


Tools To Help Your Children Learn Math: Strategies, Curiosities, And Stories To Make Math Fun For Parents And Children

Tools To Help Your Children Learn Math: Strategies, Curiosities, And Stories To Make Math Fun For Parents And Children

Author: Alfred S Posamentier

Publisher: World Scientific

Published: 2019-03-25

Total Pages: 219

ISBN-13: 9813271442

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Parents need to take an ever-increasing role in their child's learning experience. However, what to do and how to do it is often not prescribed to the parents. This book offers a wide variety of aspects related to the parent's role as a support to their child's learning of mathematics, and above all appreciation for the subject.The uniqueness of this book is that we provide the parent the information they need about how mathematics is taught in today's early grades. We then provide a plethora of ideas that can motivate children with information beyond that which is taught in the classroom.


Solving Problems In Our Spatial World

Solving Problems In Our Spatial World

Author: Guenter Maresch

Publisher: World Scientific

Published: 2019-06-20

Total Pages: 381

ISBN-13: 9813278056

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'The reference list is excellent. This is a worthwhile (though 'niche') book that will be attractive to a particular sector of the general reading public interested in mathematical riddles and puzzles. Professional educators might well employ it in integrated learning settings. Summing Up: Recommended. All readers.'CHOICEImmerse yourself in the fascinating world of geometry and spatial ability — either individually or in small groups, either as challenges or play problems! Here are four reasons why you should work with this book:This book offers a very unique opportunity to enhance your spatial ability, your mathematical competence, and your logical thinking. The authors arranged 45 problems — including more than 120 tasks — in a well-balanced order, which have been tested with a variety of populations.


Why Minus Times Minus Is Plus

Why Minus Times Minus Is Plus

Author: Nils K. Oeijord

Publisher: iUniverse

Published: 2010-07-14

Total Pages: 134

ISBN-13: 145024064X

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MATHEMATICS / ALGEBRA This book is written for a very broad audience. There are no particular prerequisites for reading this book. We hope students of High Schools, Colleges, and Universities, as well as hobby mathematicians, will like and benefit from this book. The book is rigorous and self-contained. All results are proved (or the proofs are optional exercises) and stated as theorems. Important points are covered by examples and optional exercises. Additionally there are also two sections called More optional exercises (with answers). Modern technology uses complex numbers for just about everything. Actually, there is no way one can formulate quantum mechanics without resorting to complex numbers. Leonard Euler (1707-1786) considered it natural to introduce students to complex numbers much earlier than we do today. Even in his elementary algebra textbook he uses complex numbers throughout the book. Nils K. Oeijord is a science writer and a former assistant professor of mathematics at Tromsoe College, Norway. He is the author of The Very Basics of Tensors, and several other books in English and Norwegian. Nils K. Oeijord is the discoverer of the general genetic catastrophe (GGC).


Because Without Cause

Because Without Cause

Author: Marc Lange

Publisher: Oxford University Press

Published: 2017

Total Pages: 513

ISBN-13: 0190269480

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Not all scientific explanations work by describing causal connections between events or the world's overall causal structure. In addition, mathematicians regard some proofs as explaining why the theorems being proved do in fact hold. This book proposes new philosophical accounts of many kinds of non-causal explanations in science and mathematics.


The Secrets of Triangles

The Secrets of Triangles

Author: Alfred S. Posamentier

Publisher: Prometheus Books

Published: 2012-08-28

Total Pages: 300

ISBN-13: 1616145889

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Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry. Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets." For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point-no matter what the shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, this book proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating. The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass. Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion.


Magnificent Mistakes in Mathematics

Magnificent Mistakes in Mathematics

Author: Alfred S. Posamentier

Publisher: Prometheus Books

Published: 2013-08-13

Total Pages: 298

ISBN-13: 1616147482

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Two veteran math educators demonstrate how some "magnificent mistakes" had profound consequences for our understanding of mathematics' key concepts. In the nineteenth century, English mathematician William Shanks spent fifteen years calculating the value of pi, setting a record for the number of decimal places. Later, his calculation was reproduced using large wooden numerals to decorate the cupola of a hall in the Palais de la Découverte in Paris. However, in 1946, with the aid of a mechanical desk calculator that ran for seventy hours, it was discovered that there was a mistake in the 528th decimal place. Today, supercomputers have determined the value of pi to trillions of decimal places. This is just one of the amusing and intriguing stories about mistakes in mathematics in this layperson's guide to mathematical principles. In another example, the authors show that when we "prove" that every triangle is isosceles, we are violating a concept not even known to Euclid - that of "betweenness." And if we disregard the time-honored Pythagorean theorem, this is a misuse of the concept of infinity. Even using correct procedures can sometimes lead to absurd - but enlightening - results. Requiring no more than high-school-level math competency, this playful excursion through the nuances of math will give you a better grasp of this fundamental, all-important science.