Lapses in Mathematical Reasoning by Vm Bradis

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Lapses in Mathematical Reasoning by Vm Bradis

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Lapses in Mathematical Reasoning by Vm Bradis

Designed as a method for teaching correct mathematical thinking to high school students, this book contains a brilliantly constructed series of what the authors call lapses, erroneous statements that are part of a larger mathematical argument. These lapses lead to sophism or mathematical absurdities. The ingenious idea behind this technique is to lead the student deliberately toward a clearly false conclusion. The teacher and student then go back and analyze the lapse as a way to correct the problem.
The authors begin by focusing on exercises in refuting erroneous mathematical arguments and their classification. The remaining chapters discuss examples of false arguments in arithmetic, algebra, geometry, trigonometry, and approximate computations. Ideally, students will come to the correct insights and conclusions on their own; however, each argument is followed by a detailed analysis of the false reasoning. Stimulating and unique, this book is an intriguing and enjoyable way to teach students critical mathematical reasoning skills.
SKU Unavailable
ISBN 13 9780486409184
ISBN 10 048640918X
Title Lapses in Mathematical Reasoning
Author Vm Bradis
Condition Unavailable
Binding Type Paperback
Publisher Dover Publications Inc.
Year published 2016-11-16
Number of pages 201
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.