Magnificent Mistakes In Mathematics

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Magnificent Mistakes in Mathematics

Author : Alfred S. Posamentier
Publisher : Prometheus Books
ISBN 13 : 1616147482
Total Pages : 281 pages
Book Rating : 4.6/5 (161 download)

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Book Synopsis Magnificent Mistakes in Mathematics by : Alfred S. Posamentier

Download or read book Magnificent Mistakes in Mathematics written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2013-08-13 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Math Charmers

Author : Alfred S. Posamentier
Publisher : Prometheus Books
ISBN 13 : 1615921729
Total Pages : 301 pages
Book Rating : 4.6/5 (159 download)

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Book Synopsis Math Charmers by : Alfred S. Posamentier

Download or read book Math Charmers written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2011-04-26 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readers are invited to have fun with math in this reader-friendly volume--theideal book for adults looking for a way to turn their kids on to an importantsubject. Illustrations throughout.

Mathematics: Its Historical Aspects, Wonders And Beyond

Author : Arthur D Kramer
Publisher : World Scientific
ISBN 13 : 9811248591
Total Pages : 403 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematics: Its Historical Aspects, Wonders And Beyond by : Arthur D Kramer

Download or read book Mathematics: Its Historical Aspects, Wonders And Beyond written by Arthur D Kramer and published by World Scientific. This book was released on 2022-06-29 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whenever the topic of mathematics is mentioned, people tend to indicate their weakness in the subject as a result of not having enjoyed its instruction during their school experience. Many students unfortunately do not have very positive experiences when learning mathematics, which can result from teachers who have a tendency 'to teach to the test'. This is truly unfortunate for several reasons. First, basic algebra and geometry, which are taken by almost all students, are not difficult subjects, and all students should be able to master them with the proper motivational instruction. Second, we live in a technical age, and being comfortable with basic mathematics can certainly help you deal with life's daily challenges. Other, less tangible reasons, are the pleasure one can experience from understanding the many intricacies of mathematics and its relation to the real world, experiencing the satisfaction of solving a mathematical problem, and discovering the intrinsic beauty and historical development of many mathematical expressions and relationships. These are some of the experiences that this book is designed to deliver to the reader.The book offers 101 mathematical gems, some of which may require a modicum of high school mathematics and others, just a desire to carefully apply oneself to the ideas. Many folks have spent years encountering mathematical terms, symbols, relationships and other esoteric expressions. Their origins and their meanings may never have been revealed, such as the symbols +, -, =, π. ꝏ, √, ∑, and many others. This book provides a delightful insight into the origin of mathematical symbols and popular theorems such as the Pythagorean Theorem and the Fibonacci Sequence, common mathematical mistakes and curiosities, intriguing number relationships, and some of the different mathematical procedures in various countries. The book uses a historical and cultural approach to the topics, which enhances the subject matter and greatly adds to its appeal. The mathematical material can, therefore, be more fully appreciated and understood by anyone who has a curiosity and interest in mathematics, especially if in their past experience they were expected to simply accept ideas and concepts without a clear understanding of their origins and meaning. It is hoped that this will cast a new and positive picture of mathematics and provide a more favorable impression of this most important subject and be a different experience than what many may have previously encountered. It is also our wish that some of the fascination and beauty of mathematics shines through in these presentations.

Challenging Problems in Algebra

Author : Alfred S. Posamentier
Publisher : Courier Corporation
ISBN 13 : 0486131548
Total Pages : 288 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Challenging Problems in Algebra by : Alfred S. Posamentier

Download or read book Challenging Problems in Algebra written by Alfred S. Posamentier and published by Courier Corporation. This book was released on 2012-05-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.

Mathematics Entertainment For The Millions

Author : Alfred S Posamentier
Publisher : World Scientific
ISBN 13 : 9811219303
Total Pages : 304 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematics Entertainment For The Millions by : Alfred S Posamentier

Download or read book Mathematics Entertainment For The Millions written by Alfred S Posamentier and published by World Scientific. This book was released on 2020-07-21 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The physical form of this new title is pleasing, including good paper, readable font, and durable binding … The book is not a collection of practical ideas. Rather, it is intended for those curious about pure mathematical tidbits. The flavor is light, as opposed to pedantic. Among the numerous books of this type, this title is significantly better than most. It should be considered for private collections and for libraries that can afford to serve a small, unique readership.Summing Up: Recommended. General readers.'CHOICEThis book demonstrates to the general audience that mathematics can be entertaining and fun, rather than the sad reputation it has gained over decades from uninspired school instruction that is often devoid of enrichment or motivational considerations.The book is designed in such a way that a reader will need almost no special preparation in mathematics, but to recall some of the most basic concepts that were taught at the lower-secondary-grade level.Yet, by the same token, the book will hopefully open up doors for those less motivated in mathematics — to interest readers to investigate some of the topics presented and thereby enhance their knowledge of mathematics — something most general readers will not initially find possible, but we hope will be an end product of this book.

Teaching Secondary School Mathematics: Techniques And Enrichment

Author : Alfred S Posamentier
Publisher : World Scientific
ISBN 13 : 9811211434
Total Pages : 1042 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Teaching Secondary School Mathematics: Techniques And Enrichment by : Alfred S Posamentier

Download or read book Teaching Secondary School Mathematics: Techniques And Enrichment written by Alfred S Posamentier and published by World Scientific. This book was released on 2020-09-18 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary aim of this book is to provide teachers of mathematics with all the tools they would need to conduct most effective mathematics instruction. The book guides teachers through the all-important planning process, which includes short and long-term planning as well as constructing most effective lessons, with an emphasis on motivation, classroom management, emphasizing problem-solving techniques, assessment, enriching instruction for students at all levels, and introducing relevant extracurricular mathematics activities. Technology applications are woven throughout the text.A unique feature of this book is the second half, which provides 125 highly motivating enrichment units for all levels of secondary school mathematics. Many years of proven success makes this book essential for both pre-service and in-service mathematics teachers.

Creative Secondary School Mathematics: 125 Enrichment Units For Grades 7 To 12

Author : Alfred S Posamentier
Publisher : World Scientific
ISBN 13 : 9811240442
Total Pages : 556 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Creative Secondary School Mathematics: 125 Enrichment Units For Grades 7 To 12 by : Alfred S Posamentier

Download or read book Creative Secondary School Mathematics: 125 Enrichment Units For Grades 7 To 12 written by Alfred S Posamentier and published by World Scientific. This book was released on 2021-06-08 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many topics within the scope of the secondary school mathematics curriculum that are clearly of a motivational sort, and because of lack of time they are usually not included in the teaching process. This book provides the teacher 125 individual units — ranging from grades 7 through 12 — that can be used to enhance the mathematics curriculum. Each unit presents a preassessment, instructional objectives, and a detailed description of the topic as well as teaching suggestions. Each unit has a post-assessment. This is the sort of instructional intervention that can make students love mathematics!

Innovative Teaching: Best Practices From Business And Beyond For Mathematics Teachers

Author : Denise H Sutton
Publisher : World Scientific
ISBN 13 : 9811231680
Total Pages : 222 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Innovative Teaching: Best Practices From Business And Beyond For Mathematics Teachers by : Denise H Sutton

Download or read book Innovative Teaching: Best Practices From Business And Beyond For Mathematics Teachers written by Denise H Sutton and published by World Scientific. This book was released on 2021-01-26 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Innovative Teaching: Best Practices from Business and Beyond for Mathematics Teachers provides educators with new and exciting ways to introduce material and methods to motivate and engage students by showing how some of the techniques commonly used in the business world — and beyond — are applicable to the world of education. It also offers educators practical advice with regard to the changing culture of education, keeping up with technology, navigating politics at work, interacting with colleagues, developing leadership skills, group behavior, and gender differences.Innovative Teaching demonstrates how the classroom environment is similar to the marketplace. Educators, like businesses, for example, must capture and hold the attention of their audience while competing with a constant stream of 'noise.' With the introduction of the Internet and the wide use of social media, promoters understand that they must not only engage their audience, but also incorporate audience feedback into the promotional work and product or service they offer. Innovative Teaching shows educators how to take the best practices from business — and beyond — and recombine these resources for appropriate use in the classroom.

Strategy Games to Enhance Problem-Solving Ability in Mathematics

Author : Alfred S Posamentier
Publisher : World Scientific
ISBN 13 : 9813146362
Total Pages : 136 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Strategy Games to Enhance Problem-Solving Ability in Mathematics by : Alfred S Posamentier

Download or read book Strategy Games to Enhance Problem-Solving Ability in Mathematics written by Alfred S Posamentier and published by World Scientific. This book was released on 2016-11-11 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Games are seen only for recreation. However, this book shows that games can be used to strengthen problem-solving skills and beyond. This book presents strategy games and discusses for each one solutions towards a winning position in the game. In most cases, these strategies are analogous to problem-solving strategies in mathematics. Readers are also exposed to a wide variety of games from several different cultures, which will broaden the perspective of the readers.

Problem-Solving Strategies in Mathematics

Author : Alfred S Posamentier
Publisher : World Scientific Publishing Company
ISBN 13 : 9814651656
Total Pages : 188 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Problem-Solving Strategies in Mathematics by : Alfred S Posamentier

Download or read book Problem-Solving Strategies in Mathematics written by Alfred S Posamentier and published by World Scientific Publishing Company. This book was released on 2015-03-05 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces ten problem-solving strategies by first presenting the strategy and then applying it to problems in elementary mathematics. In doing so, first the common approach is shown, and then a more elegant strategy is provided. Elementary mathematics is used so that the reader can focus on the strategy and not be distracted by some more sophisticated mathematics.

Understanding Mathematics Through Problem Solving

Author : Alfred S Posamentier
Publisher : World Scientific
ISBN 13 : 9814663697
Total Pages : 530 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Understanding Mathematics Through Problem Solving by : Alfred S Posamentier

Download or read book Understanding Mathematics Through Problem Solving written by Alfred S Posamentier and published by World Scientific. This book was released on 2020-03-23 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will present a collection of mathematical problems — lighthearted in nature — intended to entertain the general readership. Problems will be selected largely for the unusual and unexpected solutions to which they lend themselves. Some interesting contents included: All in all, the book is meant to entertain the general readership and to convince them about the power and beauty of mathematics.

The Mathematics Coach Handbook

Author : Posamentier Alfred S
Publisher : World Scientific
ISBN 13 : 9813271728
Total Pages : 184 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis The Mathematics Coach Handbook by : Posamentier Alfred S

Download or read book The Mathematics Coach Handbook written by Posamentier Alfred S and published by World Scientific. This book was released on 2018-11-07 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Best Writing on Mathematics 2014

Author : Mircea Pitici
Publisher : Princeton University Press
ISBN 13 : 0691164177
Total Pages : 360 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Best Writing on Mathematics 2014 by : Mircea Pitici

Download or read book The Best Writing on Mathematics 2014 written by Mircea Pitici and published by Princeton University Press. This book was released on 2014-11-23 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collects essays on mathematics, from the importance of big data and the varying forms of Klein bottles to fountain design and the possible shape of the universe.

Psychology Of Problem Solving, The: The Background To Successful Mathematics Thinking

Author : Virgadamo Danielle Sauro
Publisher : World Scientific
ISBN 13 : 9811205728
Total Pages : 168 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Psychology Of Problem Solving, The: The Background To Successful Mathematics Thinking by : Virgadamo Danielle Sauro

Download or read book Psychology Of Problem Solving, The: The Background To Successful Mathematics Thinking written by Virgadamo Danielle Sauro and published by World Scientific. This book was released on 2019-08-21 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The art or skill of problem solving in mathematics is mostly relegated to the strategies one can use to solve problems in the field. Although this book addresses that issue, it delves deeply into the psychological aspects that affect successful problem-solving. Such topics as decision-making, judgment, and reasoning as well as using memory effectively and a discussion of the thought processes that could help address certain problem-solving situations.Most books that address problem-solving and mathematics focus on the various skills. This book goes beyond that and investigates the psychological aspects to solving problems in mathematics.

Glimpses into the World of Mathematics

Author : Szymon Chlebowski
Publisher : LIT Verlag Münster
ISBN 13 : 3643913656
Total Pages : pages
Book Rating : 4.6/5 (439 download)

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Book Synopsis Glimpses into the World of Mathematics by : Szymon Chlebowski

Download or read book Glimpses into the World of Mathematics written by Szymon Chlebowski and published by LIT Verlag Münster. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Essays collected in this volume deal with various problems from the philosophy of mathematics. What connects them are two questions: how mathematics is created and how it is acquired. In 'Three Worlds of Mathematics' we are familiarized with David Tall's ideas pertaining to the embodied, symbolic and formal worlds of mathematics. In 'Basic Ideas of Intuitionism', we focus on an epistemological approach to mathematics which is distinctive to constructive mathematics. The author focuses on the computational content of intuitionistic logic and shows how it relates to functional programming. 'The Brave Mathematical Ant' carefully selects mathematical puzzles related to teaching experiences in a way that the solution requires creativity and is not obtainable by following an algorithm. Moreover the solution gives us some new insight into the underlying idea. 'Degrees Of Accessibility Of Mathematical Objects' discusses various criteria which can be used to judge accessibility of mathematical objects. We find logical complexity, range of applications, existence of a physical model as well as aesthetic values.

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

Author : Levine Gavrielle
Publisher : World Scientific
ISBN 13 : 9813271442
Total Pages : 220 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Tools To Help Your Children Learn Math: Strategies, Curiosities, And Stories To Make Math Fun For Parents And Children by : Levine Gavrielle

Download or read book Tools To Help Your Children Learn Math: Strategies, Curiosities, And Stories To Make Math Fun For Parents And Children written by Levine Gavrielle and published by World Scientific. This book was released on 2019-03-25 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Our Mathematical Universe

Author : Max Tegmark
Publisher : Vintage
ISBN 13 : 0307744256
Total Pages : 434 pages
Book Rating : 4.3/5 (77 download)

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Book Synopsis Our Mathematical Universe by : Max Tegmark

Download or read book Our Mathematical Universe written by Max Tegmark and published by Vintage. This book was released on 2015-02-03 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.