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Learning Geometry Through Problem Solving

by Boris Pritsker

~~36,49€~~ 32,84€ 10% OFF

 This new volume focuses on problem-solving in plane geometry topics and is suitable for any reader with elementary geometrical knowledge at the secondary school level. The author has assembled an exceptional collection of geometry exercises with approximately equal weight allocated among different types of problems: proofs, calculations, and geometric straightedge-and-compass constructions.The book is divided into seven chapters, with sets of problems arranged in approximate order of increasing difficulty. The first chapter is devoted to a discussion of several useful strategies and techniques for approaching geometric problems. The next chapter presents warm-up exercises to 'stretch' geometric muscles and refresh the very basic facts about topics covered in subsequent chapters. Each of the following chapters: 'Triangles,' 'Quadrilaterals,' 'Circles,' and 'Areas' has three sections (A, B, and C), starting with simple problems and questions (section A), progressing to intermediate problems (section B), and ending with more advanced and complex challenges (section C), some of which were offered in math Olympiads and various math contests. The final chapter is a mixture of challenging problems comprising material covered in previous chapters.At the end of the book, the 'Solutions and Answers' section provides detailed explanations and solutions for all the problems. In that section, for many interesting problems, the author reveals not just one but multiple alternative solutions, compares them, and discusses their effectiveness. The emphasis is on how to acquire insight and develop different strategies for tackling geometrical challenges. By solving these problems, readers discover fascinating links between them, unlock geometrical secrets, build self-confidence, and — for many skeptics — discover that learning geometry can be fun and enjoyable!Contents: <ul><li>Preface</li><li>About the Author</li><li>Basics and Strategies</li><li>Warm Ups</li><li>Quadrilaterals, Polygons</li><li>Quadrilaterals</li><li>Circles</li><li>Areas</li><li>Mixed Challenges</li><li>Answers and Solutions</li><li>Appendix: Selected Basic Definitions, Axioms, Theorems, and Formulas</li><li>Bibliography</li><li>Index</li></ul>Readership: The targeted audience assumes schoolteachers, college and university lecturers, educationalists, and anyone who has interest in geometry topics. Teachers and college professors should be able to use it as an extra resource in the classroom to augment a conventional course of instruction. The book also can be used as self-study.
ENGLISH

Mathematical Puzzles And Curiosities

by Ivo Fagundes David De Oliveira, Tanya Khovanova e Yogev Shpilman

~~28,81€~~ 25,93€ 10% OFF

 This book is the result of a collaboration between three passionate puzzlers, inviting readers to challenge themselves with a diverse collection of puzzles and brainteasers from across the mathematical landscape. While the solutions are accessible to younger puzzlers, solving them independently can still pose an enjoyable challenge for adults. Beyond puzzles and solutions, the authors aim to teach problem-solving methods, interspersed with fascinating mathematical anecdotes that provide refreshing insights and breaks for dedicated solvers.Featuring a blend of never-before-seen puzzles and classic favorites with new twists, this unique collection offers challenges and curiosities to satisfy puzzlers, enrich mathematicians, and welcome novices eager to explore the beauty of mathematical thinking. Covering topics from logic and probability to geometry and number theory, this book has something for everyone who loves a good puzzle.Whether you seek puzzles for the pure joy of solving or wish to sharpen your logic skills while uncovering surprising mathematical insights, this book is a must-have addition to your collection.Contents: <ul><li>This Title Has Twenty ̲ Letters</li><li>Knights, Nuts & Knaves</li><li>Unusual Numbers</li><li>Dicey Dice</li><li>Ants and Their Ways</li><li>On Prophets and Sages</li><li>Can You Recognize the Pattern?</li><li>ImProbabilities</li><li>Unusual Geometry</li><li>Acknowledgments</li><li>Bibliography</li><li>About the Authors</li><li>Index</li></ul>Readership: The book is mainly aimed at readers who enjoy mathematical puzzles and brainteasers, including general puzzle enthusiasts, STEM students, and educators. The solutions are accessible to high-school students, but finding them is challenging even for seasoned puzzlers. The book can also be appealing to professionals and students in fields such as mathematics, computer science, physics, and engineering, and is relevant to both academic and industry audiences who enjoy creative problem-solving.
ENGLISH

Mathematics In Architecture, Art, Nature, And Beyond

by Alfred S Posamentier e Günter J Maresch

~~24,97€~~ 22,47€ 10% OFF

 There is little opportunity in classrooms today for teachers to explore the amazing applications of mathematics outside the curriculum. This book is intended to show how mathematics manifests itself in areas that most people are unaware of. One can even revel in the history of how our number system evolved and how that has enabled us to define the beauty in mathematics as well as in art, architecture, nature, and beyond.The first two chapters of this book introduce the Fibonacci numbers and investigate their amazing relationships and applications in our general environment. The following four chapters focus on the Golden Ratio and the Golden Rectangle, exploring how they manifest all around us, often hiding in plain sight: in everything from architectural wonders such as the Taj Mahal to coin design, and from Greek vases to petal formation. We conclude our enjoyable journey through these mathematical wonders by considering conic sections and how they explain many aspects of everyday life, such as radar dishes, headlight reflectors, and whispering halls. This exposure to aspects of mathematics that are usually bypassed in the school curriculum will provide high school students, teachers, and general readers with an opportunity to truly appreciate the power and beauty of mathematics.Contents: <ul><li>Preface</li><li>About the Authors</li><li>Acknowledgements</li><li>Introduction to the Fibonacci Numbers</li><li>Fibonacci Numbers in Everyday Occurrences</li><li>Introduction to the Golden Ratio</li><li>The Aesthetics of the Golden Rectangle in Architecture</li><li>The Aesthetics of the Golden Rectangle in Everyday Objects</li><li>Geometry in Nature</li><li>Conic Sections</li><li>Index</li></ul>Readership: This book is targeted towards secondary school mathematics students and teachers, as well as a general readership.
ENGLISH

Geometrical Kaleidoscope (2nd Ed)

by Boris Pritsker

~~21,13€~~ 19,02€ 10% OFF

 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.Contents: <ul><li>Preface</li><li>About the Author</li><li>Medians, Centroid, and Center of Gravity of a System of Points</li><li>Altitudes and the Orthocenter of a Triangle and Some of Its Properties</li><li>The Orthic Triangle and Its Properties</li><li>The Angle Bisector of a Triangle and Its Properties</li><li>The Area of a Quadrilateral</li><li>The Theorem of Ratios of the Areas of Similar Polygons</li><li>A Pivotal Approach: Applying Rotation in Problem Solving</li><li>Auxiliary Elements in Problem Solving</li><li>Constructions Siblings</li><li>Session of One Interesting Construction Problem</li><li>Alternative Proofs of the Pythagorean Theorem</li><li>Morley's Theorem</li><li>Solutions to the Problems and Exercises</li><li>Appendix</li><li>References</li><li>Index</li></ul>Readership: High school and college students, general public.Key Features:<ul> <li>The book offers a set of non-routine topics and problems in plane geometry that stimulate students to explore unfamiliar or little-known aspects of mathematics</li> <li>It also covers several classic historical problems and theorems and offered methods and techniques how to link them together</li> <li>The reader also learns how the exploring of different approaches for solving of the same problem might lead to discovering interesting generalizations and new unexpected properties and results</li> <li>There are many exercises for readers to solve (all with solutions and answers provided at the end of the book)</li> <li>The book shows how to make Geometry fun</li></ul></ul>
ENGLISH

Mathematics: Its Historical Aspects, Wonders And Beyond

by Kramer Arthur D Kramer e Posamentier Alfred S Posamentier

46,38€ + 10% CARD

 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 +, -, =, . , , , 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.
ENGLISH

M(Odified) E(Ssay) Q(Uestions) For Medicine Finals: With Solutions And Tips, Volume 3

47,32€ + 10% CARD

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 There is a paucity of high-value examination-style questions for final-year medicine undergraduates.
ENGLISH

Geometry In Our Three-Dimensional World

by Dorner Christian Dorner, Geretschlager Robert Geretschlager, Maresch Guenter Maresch, Posamentier Alfred S Posamentier, Spreitzer Christian Spreitzer, Stuhlpfarrer David Stuhlpfarrer e Thaller Bernd Thaller

46,38€ + 10% CARD

 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.
ENGLISH

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

by Posamentier Alfred S Posamentier e Sutton Denise H Sutton

33,13€ + 10% CARD

 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.
ENGLISH

X Games In Mathematics: Sports Training That Counts! - Sports Training That Counts!

by Chartier Timothy P Chartier

33,13€ + 10% CARD

 Sports analytics has gathered tremendous momentum as one of the most dynamic fields. Diving deep into the numbers of sports can be game changing or simply a fun exercise for fans. How do you get in the game with numbers? What questions can be explored? What actionable insights can be gleaned?Do you like sports? This book will detail ways to analyze athletics to gain insight that can otherwise be obscured. Like math? You''ll find many mathematical topics not involving sports. You''ll also see how sports analytics can train you broadly in mathematics.From coaching at the highest levels to national media broadcasts, analytics are becoming increasingly indispensable. Dive into the numbers behind soccer to basketball to baseball to boxing to swimming, dive into the numbers. Learn how to get in the game with sports and mathematics.
ENGLISH

Mathematical Labyrinths. Pathfinding

by Pritsker Boris Pritsker

33,13€ + 10% CARD

 Mathematical Labyrinths. Pathfinding provides an overview of various non-standard problems and the approaches to their solutions.
ENGLISH

Mathematical Nuggets From Austria: Selected Problems From The Styrian Mid-Secondary School Mathematics Competitions - Selected Problems From The Styrian Mid-Secondary School Mathematics Competitions

by Geretschlager Robert Geretschlager e Perz Gottfried Perz

33,13€ + 10% CARD

 This book is composed of the most interesting problems from a quarter century of regional mathematics competitions for students aged 11-14 in the province of Styria, Austria. The problems presented here range from pure puzzles to a more traditional mathematical type of question, but all are somehow special, posed with the intent of giving the reader something interesting to think about, with the promise of an entertaining moment of elucidation and enlightenment at the end.
ENGLISH

Teaching Secondary School Mathematics: Techniques And Enrichment

by Posamentier Alfred S Posamentier e Smith Beverly Smith

86,13€ + 10% CARD

 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.
ENGLISH

Lectures On The Non-Equilibrium Theory Of Condensed Matter

by Ladislaus Alexander (Johann Wolfgang Goethe-Univ, Germany) Banyai

121,67€ + 10% CARD

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 This book discusses in depth many of the key problems in non-equilibrium physics. Besides the standard subjects (Boltzmann and Master equations, linear response) it includes several new important subjects as well. The origin of macroscopic irreversible (dissipative) behavior receives an extended attention and is illustrated in the framework of...
ENGLISH

Fate Of Schrodinger'S Cat, The: Using Math And Computers To Explore The Counterintuitive - Using Math And Computers To Explore The Counterintuitive

by Stein James D Stein

26,50€ + 10% CARD

 Can we correctly predict the flip of a fair coin more than half the time — or the decay of a single radioactive atom? Our intuition, based on a lifetime of experience, tells us that we cannot, as these are classic examples of what are known to be 50-50 guesses.But mathematics is filled with counterintuitive results — and this book discusses some surprising and entertaining examples. It is possible to devise experiments in which a flipped coin lands heads completely at random half the time, but we can also correctly predict when it will land heads more than half the time. The Fate of Schrodinger''s Cat shows how high-school algebra and basic probability theory, with the invaluable assistance of computer simulations, can be used to investigate both the intuitive and the counterintuitive.This book explores fascinating and controversial questions involving prediction, decision-making, and statistical analysis in a number of diverse areas, ranging from whether there is such a thing as a ''hot hand'' in shooting a basketball, to how we can successfully predict, more than half the time, the decay of the radioactive atom that determines the fate of Schrodinger''s Cat.
ENGLISH

Mathematics Entertainment For The Millions

by Posamentier Alfred S Posamentier

33,13€ + 10% CARD

 ''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.''<div style=''text-align: right;''>CHOICE</div>This 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.
ENGLISH

Solving Problems In Our Spatial World

by Maresch Guenter Maresch e Posamentier Alfred S Posamentier

53,00€ + 10% CARD

 Immerse 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:
ENGLISH

Engaging Young Students In Mathematics Through Competitions - World Perspectives And Practices: Volume Ii - Mathematics Competitions And How They Rela - Volume Ii Mathematics Competitions And How They Relate To Research, Teaching And Motivation; Entertaining And Informative Papers From The Wfnmc8 Cong

46,38€ + 10% CARD

 The two volumes of ''Engaging Young Students in Mathematics through Competitions'' present a wide scope of aspects relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment.Volume II contains background information on connections between the mathematics of competitions and the organization of such competitions, their interplay with research, teaching and more.It will be of interest to anyone involved with mathematics competitions at any level, be they researchers, competition participants, teachers or theoretical educators.The various chapters were written by the participants of the 8th Congress of the World Federation of National Mathematics Competitions in Austria in 2018.
ENGLISH

Understanding Mathematics Through Problem Solving

by Poole Peter Poole e Posamentier Alfred S Posamentier

46,38€ + 10% CARD

 This book will present a collection of mathematical problems - lighthearted in nature - intended to entertain the general readership.
ENGLISH

Understanding Mathematics Through Problem Solving

by Alfred S (The City University Of New York, Usa) Posamentier e Peter (Mercy College, New York, Usa) Poole

148,71€ + 10% CARD

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 This book will present a collection of mathematical problems - lighthearted in nature - intended to entertain the general readership.
ENGLISH

Teaching Secondary School Mathematics: Techniques And Enrichment

by Alfred S (The City University Of New York, Usa) Posamentier e Beverly (City Univ Of New York, Usa) Smith

223,06€ + 10% CARD

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 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.
ENGLISH

Engaging Young Students In Mathematics Through Competitions - World Perspectives And Practices: Volume I - Competition-Ready Mathematics - Volume I - Competition-Ready Mathematics; Entertaining And Informative Problems From The Wfnmc8 Congress In Semriach/Austria 2018

33,13€ + 10% CARD

 The two volumes of Engaging Young Students in Mathematics through Competitions present a wide scope of aspects relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment.Volume I contains a wide variety of fascinating mathematical problems of the type often presented at mathematics competitions as well as papers by an international group of authors involved in problem development, in which we can get a sense of how such problems are created in various specialized areas of competition mathematics as well as recreational mathematics.It will be of special interest to anyone interested in solving original mathematics problems themselves for enjoyment to improve their skills. It will also be of special interest to anyone involved in the area of problem development for competitions, or just for recreational purposes.The various chapters were written by the participants of the 8th Congress of the World Federation of National Mathematics Competitions in Austria in 2018.
ENGLISH

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

by Keefe-Cooperman Kathleen Keefe-Cooperman, Kose Gary Kose, Posamentier Alfred S Posamentier e Virgadamo Danielle Sauro Virgadamo

39,68€ + 10% CARD

 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.
ENGLISH

Problem-Solving Approach To Supporting Mathematics Instruction In Elementary School, A: A Guide For Parents, Teachers, And Students - A Guide For Parents, Teachers, And Students

by Rothman Sheldon N Rothman

33,13€ + 10% CARD

 The book takes a problem-solving approach to learning elementary school mathematics, and develops many concepts using patterns established by examples. In many cases, the METHOD of problem-solving used is indicated.
ENGLISH

Mathematics Coach Handbook, The

by Krulik Stephen Krulik e Posamentier Alfred S Posamentier

19,88€ + 10% CARD

 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.
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