Lapses in Mathematical Reasoning

Nonfiction, Science & Nature, Mathematics, Logic
Cover of the book Lapses in Mathematical Reasoning by L. Minkovskii, A. K. Kharcheva, V. M. Bradis, Dover Publications
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Author: L. Minkovskii, A. K. Kharcheva, V. M. Bradis ISBN: 9780486816579
Publisher: Dover Publications Publication: October 28, 2016
Imprint: Dover Publications Language: English
Author: L. Minkovskii, A. K. Kharcheva, V. M. Bradis
ISBN: 9780486816579
Publisher: Dover Publications
Publication: October 28, 2016
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

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