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Author Bradis, V. M. (Vladimir Modestovich), 1890-

Title Lapses in Mathematical Reasoning [electronic resource] / V. M. Bradis.

Publication Info. [Place of publication not identified] : Dover Publications, [2016]
©2016

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Description 1 online resource (224 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
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Summary 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.
Note Print version record.
Access Digital content provided by Freading Ebook Service.
Subject Problem solving.
Mathematics -- Problems, exercises, etc.
Genre/Form Electronic books.
Added Author Kharcheva, A. K. (Avgusta Konstaninovna)
Minkovskiĭ, V. L. (Vladimir Lʹvovich)
Freading (Firm)
Added Title Oshibki v matematicheskikh rassuzhdenii︠a︡kh. English
Other Form: Print version: Bradis, V. M. (Vladimir Modestovich), 1890- Lapses in mathematical reasoning. Mineola, N.Y. : Dover, 1999. 048640918X (pbk) (DLC)99045828
ISBN 9780486816579 (e-pub)
Standard No. 9780486816579

 
    
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