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Mathematical Labyrinths Pathfinding


Mathematical Labyrinths Pathfinding
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Mathematical Labyrinths Pathfinding


Mathematical Labyrinths Pathfinding
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Author : Boris Pritsker
language : en
Publisher: World Scientific
Release Date : 2021-01-04

Mathematical Labyrinths Pathfinding written by Boris Pritsker and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-04 with Mathematics categories.


Mathematical Labyrinths. Pathfinding provides an overview of various non-standard problems and the approaches to their solutions. The essential idea is a framework laid upon the reader on how to solve nonconventional problems — particularly in the realm of mathematics and logic. It goes over the key steps in approaching a difficult problem, contemplating a plan for its solution, and discusses set of mental models to solve math problems.The book is not a routine set of problems. It is rather an entertaining and educational journey into the fascinating world of mathematical reasoning and logic. It is about finding the best path to a solution depending on the information given, asking and answering the right questions, analyzing and comparing alternative approaches to problem solving, searching for generalizations and inventing new problems. It also considers as an important pedagogical tool playing mathematical and logical games, deciphering mathematical sophisms, and interpreting mathematical paradoxes.It is suitable for mathematically talented and curious students in the age range 10-20. There are many 'Eureka'- type, out of the ordinary, fun problems that require bright idea and insight. These intriguing and thought-provoking brainteasers and logic puzzles should be enjoyable by the audience of almost any age group, from 6-year-old children to 80-year-old and older adults.



Logical Labyrinths


Logical Labyrinths
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Author : Raymond Smullyan
language : en
Publisher: CRC Press
Release Date : 2008-12-22

Logical Labyrinths written by Raymond Smullyan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-22 with Games & Activities categories.


This book features a unique approach to the teaching of mathematical logic by putting it in the context of the puzzles and paradoxes of common language and rational thought. It serves as a bridge from the author's puzzle books to his technical writing in the fascinating field of mathematical logic. Using the logic of lying and truth-telling, the au



Expanding Mathematical Toolbox Interweaving Topics Problems And Solutions


Expanding Mathematical Toolbox Interweaving Topics Problems And Solutions
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Author : Boris Pritsker
language : en
Publisher: CRC Press
Release Date : 2023-02-08

Expanding Mathematical Toolbox Interweaving Topics Problems And Solutions written by Boris Pritsker and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-08 with Mathematics categories.


Expanding Mathematical Toolbox: Interweaving Topics, Problems, and Solutions offers several topics from different mathematical disciplines and shows how closely they are related. The purpose of this book is to direct the attention of readers who have an interest in and talent for mathematics to engaging and thought-provoking problems that should help them change their ways of thinking, entice further exploration and possibly lead to independent research and projects in mathematics. In spite of the many challenging problems, most solutions require no more than a basic knowledge covered in a high-school math curriculum. To shed new light on a deeper appreciation for mathematical relationships, the problems are selected to demonstrate techniques involving a variety of mathematical ideas. Included are some interesting applications of trigonometry, vector algebra and Cartesian coordinate system techniques, and geometrical constructions and inversion in solving mechanical engineering problems and in studying models explaining non-Euclidean geometries. This book is primarily directed at secondary school teachers and college professors. It will be useful in teaching mathematical reasoning because it emphasizes how to teach students to think creatively and strategically and how to make connections between math disciplines. The text also can be used as a resource for preparing for mathematics Olympiads. In addition, it is aimed at all readers who want to study mathematics, gain deeper understanding and enhance their problem-solving abilities. Readers will find fresh ideas and topics offering unexpected insights, new skills to expand their horizons and an appreciation for the beauty of mathematics.



Innovative Teaching Best Practices From Business And Beyond For Mathematics Teachers


Innovative Teaching Best Practices From Business And Beyond For Mathematics Teachers
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Author : Denise H Sutton
language : en
Publisher: World Scientific
Release Date : 2021-01-26

Innovative Teaching Best Practices From Business And Beyond For Mathematics Teachers written by Denise H Sutton and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-26 with Mathematics categories.


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.



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


Creative Secondary School Mathematics 125 Enrichment Units For Grades 7 To 12
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2021-06-08

Creative Secondary School Mathematics 125 Enrichment Units For Grades 7 To 12 written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-08 with Mathematics categories.


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!



The Liar Paradox And The Towers Of Hanoi


The Liar Paradox And The Towers Of Hanoi
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Author : Marcel Danesi
language : en
Publisher: Turner Publishing Company
Release Date : 2011-01-06

The Liar Paradox And The Towers Of Hanoi written by Marcel Danesi and has been published by Turner Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-06 with Mathematics categories.


A walk through history's most mind-boggling puzzles Ever since the Sphinx asked his legendary riddle of Oedipus, riddles, conundrums, and puzzles of all sizes have kept humankind perplexed and amused. The Liar Paradox and the Towers of Hanoi takes die-hard puzzle mavens on a tour of the world's most enduringly intriguing braintwisters, from K?nigsberg's Bridges and the Hanoi Towers to Fibonacci's Rabbits, the Four Color Problem, and the Magic Square. Each chapter introduces the basic puzzle, discusses the mathematics behind it, and includes exercises and answers plus additional puzzles similar to the one under discussion. Here is a veritable kaleidoscope of puzzling labyrinths, maps, bridges, and optical illusions that will keep aficionados entertained for hours. Marcel Danesi (Etobicoke, ON, Canada) is the author of Increase Your Puzzle IQ



Geometrical Kaleidoscope Second Edition


Geometrical Kaleidoscope Second Edition
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Author : Boris Pritsker
language : en
Publisher: World Scientific
Release Date : 2024-03-14

Geometrical Kaleidoscope Second Edition written by Boris Pritsker and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-14 with Mathematics categories.


The goal of the book is to provide insight into many enjoyable and fascinating aspects of geometry, and to reveal interesting geometrical properties. The emphasis is on the practical applications of theory in the problem-solving process. The chapters cover a myriad of topics among which are the classic theorems and formulas such as Archimedes' Law of the Lever, the Pythagorean Theorem, Heron's formula, Brahmagupta's formula, Appollonius's Theorem, Euler's line properties, the Nine-Point Circle, Fagnano's Problem, the Steiner-Lehmus Theorem, Napoleon's Theorem, Ceva's Theorem, Menelaus's Theorem, Pompeiu's Theorem, and Morley's Miracle. The book focuses on geometric thinking — what it means, how to develop it, and how to recognize it. 'Geometrical Kaleidoscope' consists of a kaleidoscope of topics that seem to not be related at first glance. However, that perception disappears as you go from chapter to chapter and explore the multitude of surprising relationships, unexpected connections, and links. Readers solving a chain of problems will learn from them general techniques, rather than isolated instances of the application of a technique. In spite of the many problems' challenging character, their solutions require no more than a basic knowledge covered in a high school geometry curriculum. There are plenty of problems for readers to work out for themselves (solutions are provided at the end of the book).In the 2nd edition of the book there are many new ideas and additional explanations that help the reader better understand the solutions of problems and connect the chapters to one another. A new chapter 'Alternative proofs of the Pythagorean Theorem' is added. It covers seven different proofs of the famous theorem and discusses its generalizations and applications. There is also Appendix and Index added, which were missing in the first edition of the book.



Learning Trigonometry By Problem Solving


Learning Trigonometry By Problem Solving
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Author : Alexander Rozenblyum
language : en
Publisher: World Scientific
Release Date : 2021-06-25

Learning Trigonometry By Problem Solving written by Alexander Rozenblyum and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-25 with Mathematics categories.


In this book, trigonometry is presented mainly through the solution of specific problems. The problems are meant to help the reader consolidate their knowledge of the subject. In addition, they serve to motivate and provide context for the concepts, definitions, and results as they are presented. In this way, it enables a more active mastery of the subject, directly linking the results of the theory with their applications. Some historical notes are also embedded in selected chapters.The problems in the book are selected from a variety of disciplines, such as physics, medicine, architecture, and so on. They include solving triangles, trigonometric equations, and their applications. Taken together, the problems cover the entirety of material contained in a standard trigonometry course which is studied in high school and college.We have also added some interesting, in our opinion, entertainment problems. To solve them, no special knowledge is required. While they are not directly related to the subject of the book, they reflect its spirit and contribute to a more lighthearted reading of the material.



Geometry In Our Three Dimensional World


Geometry In Our Three Dimensional World
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2021-11-24

Geometry In Our Three Dimensional World written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-24 with Mathematics categories.


The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis. By covering the wide range of topics — from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspective by Renaissance artists to the art of Origami, from polyhedral shapes to the theory of knots, from patterns in space to the problem of optimal packing, and from the problems of cartography to the geometry of solar and lunar eclipses — this book provides deep insight into phenomena related to the geometry of space and exposes incredible nuances that can enrich our lives.The book is aimed at the general readership and provides more than 420 color illustrations that support the explanations and replace formal mathematical arguments with clear graphical representations.



Out Of The Labyrinth


Out Of The Labyrinth
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Author : Robert Kaplan
language : en
Publisher: Bloomsbury Publishing USA
Release Date : 2014-02-04

Out Of The Labyrinth written by Robert Kaplan and has been published by Bloomsbury Publishing USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-04 with Education categories.


“In this sparkling narrative, mathematics is indeed set free.” -Michael Shermer, author of The Believing Brain In classrooms around the world, Robert and Ellen Kaplan's pioneering Math Circle program, begun at Harvard, has introduced students ages six to sixty to the pleasures of mathematics, exploring topics that range from Roman numerals to quantum mechanics. In Out of the Labyrinth, the Kaplans reveal the secrets of their highly successful approach, which embraces the exhilarating joy of math's “accessible mysteries.” Stocked with puzzles, colorful anecdotes, and insights from the authors' own teaching experience, Out of the Labyrinth is both an engaging and practical guide for parents and educators, and a treasure chest of mathematical discoveries. For any reader who has felt the excitement of mathematical discovery-or tried to convey it to someone else-this volume will be a delightful and valued companion.