Math Made Visual: Creating Images for Understanding Mathematics

Claudi Alsina; Roger Nelsen

doi:10.5948/UPO9781614441007

Is it possible to make mathematical drawings that help to understand mathematical ideas, proofs and arguments? The authors of this book are convinced that the answer is yes and the objective of this book is to show how some visualization techniques may be employed to produce pictures that have both mathematical and pedagogical interest. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece and India but only in the last thirty years has there been a growing interest in so-called 'proofs without words'. Hundreds of these have been publised in Mathematics Magazine and The College Mathematics Journal, as well as in other journals, books, and on the Internet. Often times, a person encountering a 'proof without words' may have the feeling that the pictures involved are the result of a serendipitous discovery or the consequence of an exceptional ingenuity on the part of the picture's creator. In this book the authors show that behind most of the pictures 'proving' mathematical relations are some well-understood methods. As the reader shall see, a given mathematical idea or relation may have many different images that justify it, so that depending on the teaching level or the objectives for producing the pictures, one can choose the best alternative.

This is an outstanding math book, demonstrating some of the very best strategies that can be used to develop and explain a proof. It is not possible to use a diagram to present every mathematical proof that you may explain to your students. However, it can be done more often than you may realize, so I recommend that all teachers of mathematics examine this book, you most certainly will find a gem that you can use.

Charles Ashbacher Source: Journal of Recreational Mathematics

This is a superb book. If you only buy one book for your own or your departmental library this year, this would be an excellent choice...I thoroughly recommend this book to teachers, mathematics educators, students and anyone interested in the visual side of mathematics.

Mary Coupland Source: Australian Mathematics Teacher

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Math Made Visual

Creating Images for Understanding Mathematics

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