Dover books on mathematics lapses in mathematical reasoning
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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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Taal: en
Bindwijze: E-book
Oorspronkelijke releasedatum: 28 oktober 2016
Ebook Formaat: Adobe ePub
Illustraties: Met illustraties
Hoofdauteur: V.M. Bradis
Tweede Auteur: V.L. Minkovskiai
Co Auteur: V. M. Bradis
Hoofduitgeverij: Dover Publications Inc
Lees dit ebook op: Android (smartphone en tablet)
Lees dit ebook op: Kobo e-reader
Lees dit ebook op: Desktop (Mac en Windows)
Lees dit ebook op: iOS (smartphone en tablet)
Lees dit ebook op: Windows (smartphone en tablet)
Inhoud van Ebook Bevat: Tekst
Studieboek: Nee
EAN: 9780486816579