Problem Solving Through Recreational Mathematics

Problem Solving Through Recreational Mathematics
Author: Bonnie Averbach
Publisher: Courier Corporation
Total Pages: 482
Release: 2012-03-15
Genre: Mathematics
ISBN: 0486131742

Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includes answers to selected problems. Free solutions manual available for download at the Dover website.

Problem Solving Through Recreational Mathematics

Problem Solving Through Recreational Mathematics
Author: Bonnie Averbach
Publisher: Courier Corporation
Total Pages: 482
Release: 2000-01-01
Genre: Mathematics
ISBN: 0486409171

Many of the most important mathematical concepts were developed from recreational problems. This book uses problems, puzzles, and games to teach students how to think critically. It emphasizes active participation in problem solving, with emphasis on logic, number and graph theory, games of strategy, and much more. Includes answers to selected problems. Index. 1980 edition.

Adventures In Recreational Mathematics (In 2 Volumes)

Adventures In Recreational Mathematics (In 2 Volumes)
Author: David Singmaster
Publisher: World Scientific
Total Pages: 494
Release: 2021-09-21
Genre: Mathematics
ISBN: 9811251622

David Singmaster believes in the presentation and teaching of mathematics as recreation. When the Rubik's Cube took off in 1978, based on thinly disguised mathematics, he became seriously interested in mathematical puzzles which would provide mental stimulation for students and professional mathematicians. He has not only published the standard mathematical solution for the Rubik's cube still in use today, but he has also become the de facto scribe and noted chronicler of the recreational mathematics puzzles themselves.Dr Singmaster is also an ongoing lecturer of recreational mathematics around the globe, a noted mechanical puzzle collector, owner of thousands of books related to recreational mathematical puzzles and the 'go to' source for the history of individual mathematical puzzles.This set of two books provides readers with an adventure into previously unknown origins of ancient puzzles, which could be traced back to their Medieval, Chinese, Arabic and Indian sources. The puzzles are fully described, many with illustrations, adding interest to their history and relevance to contemporary mathematical concepts. These are musings of a respected historian of recreational mathematics.

The Master Book of Mathematical Recreations

The Master Book of Mathematical Recreations
Author: Fred Schuh
Publisher: Courier Dover Publications
Total Pages: 452
Release: 2015-11-11
Genre: Games & Activities
ISBN: 0486808955

Praised for its "exceptionally good value" by the Journal of Recreational Mathematics, this book offers fun-filled insights into many fields of mathematics. The brainteasers include original puzzles as well as new approaches to classic conundrums. A vast assortment of challenges features domino puzzles, the game of noughts and crosses, games of encirclement, sliding movement puzzles, subtraction games, puzzles in mechanics, games with piles of matches, a road puzzle with concentric circles, "Catch the Giant," and much more. Detailed solutions show several methods by which a particular problem may be answered, why one method is preferable, and where the others fail. With numerous worked examples, the clear, step-by-step analyses cover how the problem should be approached, including hints and enumeration of possibilities and determination of probabilities, application of the theory of probability, and evaluation of contingencies and mean values. Readers are certain to improve their puzzle-solving strategies as well as their mathematical skills.

Teaching Mathematics through Problem-Solving in K–12 Classrooms

Teaching Mathematics through Problem-Solving in K–12 Classrooms
Author: Matthew Oldridge
Publisher: Rowman & Littlefield
Total Pages: 135
Release: 2018-10-31
Genre: Education
ISBN: 1475843348

“Teaching through problem-solving” is a commonly used phrase for mathematics educators. This book shows how to use worthwhile and interesting mathematics tasks and problems to build a classroom culture based on students’ reasoning and thinking. It develops a set of axioms about problem-solving classrooms to show teachers that mathematics is playful and engaging. It presents an aspirational vision for school mathematics, one which all teachers can bring into being in their classrooms.

The Mathematics of Various Entertaining Subjects

The Mathematics of Various Entertaining Subjects
Author: Jennifer Beineke
Publisher: Princeton University Press
Total Pages: 408
Release: 2017-09-05
Genre: Mathematics
ISBN: 0691171920

The history of mathematics is filled with major breakthroughs resulting from solutions to recreational problems. Problems of interest to gamblers led to the modern theory of probability, for example, and surreal numbers were inspired by the game of Go. Yet even with such groundbreaking findings and a wealth of popular-level books, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects now returns with a brand-new compilation of fascinating problems and solutions in recreational mathematics. This latest volume gathers together the top experts in recreational math and presents a compelling look at board games, card games, dice, toys, computer games, and much more. The book is divided into five parts: puzzles and brainteasers, geometry and topology, graph theory, games of chance, and computational complexity. Readers will discover what origami, roulette wheels, and even the game of Trouble can teach about math. Essays contain new results, and the contributors include short expositions on their topic’s background, providing a framework for understanding the relationship between serious mathematics and recreational games. Mathematical areas explored include combinatorics, logic, graph theory, linear algebra, geometry, topology, computer science, operations research, probability, game theory, and music theory. Investigating an eclectic mix of games and puzzles, The Mathematics of Various Entertaining Subjects is sure to entertain, challenge, and inspire academic mathematicians and avid math enthusiasts alike.

Strategy Games To Enhance Problem-solving Ability In Mathematics

Strategy Games To Enhance Problem-solving Ability In Mathematics
Author: Alfred S Posamentier
Publisher: World Scientific
Total Pages: 136
Release: 2016-11-11
Genre: Mathematics
ISBN: 9813146362

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.

Intriguing Mathematical Problems

Intriguing Mathematical Problems
Author: Oswald Jacoby
Publisher: Courier Corporation
Total Pages: 210
Release: 2013-05-23
Genre: Science
ISBN: 0486168360

Treasury of challenging brainteasers includes puzzles involving numbers, letters, probability, reasoning, more: The Enterprising Snail, The Fly and the Bicycles, The Lovesick Cockroaches, many others. No advanced math needed. Solutions.

Recreations in the Theory of Numbers

Recreations in the Theory of Numbers
Author: Albert H. Beiler
Publisher: Courier Corporation
Total Pages: 383
Release: 1964-01-01
Genre: Games & Activities
ISBN: 0486210960

Number theory proves to be a virtually inexhaustible source of intriguing puzzle problems. Includes divisors, perfect numbers, the congruences of Gauss, scales of notation, the Pell equation, more. Solutions to all problems.

My Best Mathematical and Logic Puzzles

My Best Mathematical and Logic Puzzles
Author: Martin Gardner
Publisher: Courier Corporation
Total Pages: 100
Release: 2013-04-10
Genre: Games & Activities
ISBN: 0486320324

The noted expert selects 70 of his favorite "short" puzzles, including such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and dozens more involving logic and basic math. Solutions included.