The Lighter Side of Mathematics: Proceedings of the Eugene Strens Memorial Conference on Recreational Mathematics and Its History

The Lighter Side of Mathematics: Proceedings of the Eugene Strens Memorial Conference on Recreational Mathematics and Its History
Title The Lighter Side of Mathematics: Proceedings of the Eugene Strens Memorial Conference on Recreational Mathematics and Its History PDF eBook
Author Richard K. Guy
Publisher American Mathematical Soc.
Pages 367
Release 2020-08-03
Genre Mathematics
ISBN 1470457318

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In August of 1986, a special conference on recreational mathematics was held at the University of Calgary to celebrate the founding of the Strens Collection. Leading practitioners of recreational mathematics from around the world gathered in Calgary to share with each other the joy and spirit of play that is to be found in recreational mathematics. It would be difficult to find a better collection of wonderful articles on recreational mathematics by a more distinguished group of authors. If you are interested in tessellations, Escher, tilings, Rubik's cube, pentominoes, games, puzzles, the arbelos, Henry Dudeney, or change ringing, then this book is for you.

Mathematical Puzzle Tales

Mathematical Puzzle Tales
Title Mathematical Puzzle Tales PDF eBook
Author Martin Gardner
Publisher American Mathematical Soc.
Pages 151
Release 2020-04-06
Genre Education
ISBN 1470451786

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Martin Gardner is widely known for his writing on recreational mathematics, not least for the myriad problems he has devised over some 25 years for Scientific American. In this book are 36 of his best brainteasers. These are not simply cunning puzzles, but serve to illustrate the art of the mathematician as problem solver, and their solution draws on ideas from topology, probability, number theory, logic and beyond. Fully worked answers are given, which, in turn, lead to additional problems for the reader. For anybody who likes to solve mathematical problems, this book will be both entertaining and a challenge.

Which Way Did the Bicycle Go?: And Other Intriguing Mathematical Mysteries

Which Way Did the Bicycle Go?: And Other Intriguing Mathematical Mysteries
Title Which Way Did the Bicycle Go?: And Other Intriguing Mathematical Mysteries PDF eBook
Author Joseph D. E. Konhauser
Publisher American Mathematical Soc.
Pages 235
Release 1996-12-31
Genre Education
ISBN 1470463822

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MAA Press: An Imprint of the American Mathematical Society This collection will give students (high school or beyond), teachers, and university professors a chance to experience the pleasure of wrestling with some beautiful problems of elementary mathematics. Readers can compare their sleuthing talents with those of Sherlock Holmes, who made a bad mistake regarding the first problem in the collection: Determine the direction of travel of a bicycle that has left its tracks in a patch of mud. Which Way did the Bicycle Go? contains a variety of other unusual and interesting problems in geometry, algebra, combinatorics, and number theory. For example, if a pizza is sliced into eight 45-degree wedges meeting at a point other than the center of the pizza, and two people eat alternate wedges, will they get equal amounts of pizza? Or: What is the rightmost nonzero digit of the product 1⋅2⋅3⋯1,000,000 1⋅2⋅3⋯1,000,000? Or: Is a manufacturer's claim that a certain unusual combination lock allows thousands of combinations justified? Complete solutions to the 191 problems are included along with problem variations and topics for investigation.

Complex Numbers and Geometry

Complex Numbers and Geometry
Title Complex Numbers and Geometry PDF eBook
Author Liang-shin Hahn
Publisher American Mathematical Soc.
Pages 204
Release 2019-12-26
Genre Education
ISBN 1470451824

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The purpose of this book is to demonstrate that complex numbers and geometry can be blended together beautifully. This results in easy proofs and natural generalizations of many theorems in plane geometry, such as the Napoleon theorem, the Ptolemy-Euler theorem, the Simson theorem, and the Morley theorem. The book is self-contained—no background in complex numbers is assumed—and can be covered at a leisurely pace in a one-semester course. Many of the chapters can be read independently. Over 100 exercises are included. The book would be suitable as a text for a geometry course, or for a problem solving seminar, or as enrichment for the student who wants to know more.

Not to Perish

Not to Perish
Title Not to Perish PDF eBook
Author Lee B. Croft
Publisher Lulu.com
Pages 301
Release 2008-12-01
Genre Education
ISBN 0578004682

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As the co-authors present 13 of American Prof. of Russian Lee B. Croft's scholarly articles (in English with Russian examples), the articles fascinate as they advance the reader's knowledge of: glossolalia, poetic decipherment and translation, language philosophy and psychology, linguistic iconicity and language universals, an American Nobel-laureate scientist's inspiration, literary pornography, pervasive triplicity, spontaneous human combustion and polylingual alphamagic squares.

Mathematical Treks: From Surreal Numbers to Magic Circles

Mathematical Treks: From Surreal Numbers to Magic Circles
Title Mathematical Treks: From Surreal Numbers to Magic Circles PDF eBook
Author Ivars Peterson
Publisher American Mathematical Soc.
Pages 170
Release 2020-08-03
Genre Mathematics
ISBN 1470458519

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Developing Deep Knowledge in Middle School Mathematics

Developing Deep Knowledge in Middle School Mathematics
Title Developing Deep Knowledge in Middle School Mathematics PDF eBook
Author Sergei Abramovich
Publisher Springer Nature
Pages 451
Release 2021-05-10
Genre Education
ISBN 3030685640

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This textbook is for prospective teachers of middle school mathematics. It reflects on the authors’ experience in offering various mathematics education courses to prospective teachers in the US and Canada. In particular, the content can support one or more of 24-semester-hour courses recommended by the Conference Board of the Mathematical Sciences (2012) for the mathematical preparation of middle school teachers. The textbook integrates grade-appropriate content on all major topics in the middle school mathematics curriculum with international recommendations for teaching the content, making it relevant for a global readership. The textbook emphasizes the inherent connections between mathematics and real life, since many mathematical concepts and procedures stem from common sense, something that schoolchildren intuitively possess. This focus on teaching formal mathematics with reference to real life and common sense is essential to its pedagogical approach. In addition, the textbook stresses the importance of being able to use technology as an exploratory tool, and being familiar with its strengths and weaknesses. In keeping with this emphasis on the use of technology, both physical (manipulatives) and digital (commonly available educational software), it also explores e.g. the use of computer graphing software for digital fabrication. In closing, the textbook addresses the issue of creativity as a crucial aspect of education in the digital age in general, and in mathematics education in particular.