# Math: Encounters with high school students by Serge Lang

By Serge Lang

Dieses Buch enthalt eine Sammlung von Dialogen des bekannten Mathematikers Serge Lang mit Schulern. Serge Lang behandelt die Schuler als seinesgleichen und zeigt ihnen mit dem ihm eigenen lebendigen Stil etwas vom Wesen des mathematischen Denkens. Die Begegnungen zwischen Lang und den Schulern sind nach Bandaufnahmen aufgezeichnet worden und daher authentisch und lebendig. Das Buch stellt einen frischen und neuartigen Ansatz fur Lehren, Lernen und Genuss von Mathematik vor. Das Buch ist von grossem Interesse fur Lehrer und Schule

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Extra resources for Math: Encounters with high school students

Sample text

The result should equal the 12th digit, called the check digit. Algorithm 1. 2. 3. 4. Add the numbers in the odd-numbered positions. Multiply the sum by 3.

Algorithm 1. 2. 3. 4. Add the numbers in the odd-numbered positions. Multiply the sum by 3.

One student decides to combine Steps 1, 2, and 3 with the following results. ͑0 ϩ 5 ϩ 1 ϩ 0 ϩ 6 ϩ 8͒ ϫ 3 ϩ ͑2 ϩ 2 ϩ 5 ϩ 4 ϩ 5͒ ϭ 20 ϫ 3 ϩ 18 ϭ 20 ϫ 21 ϭ 420 The next-highest multiple of 10 is 430, so 430 Ϫ 420 ϭ 10. What did the student do wrong? b. Does a UPC of 0 76737 20012 9 check? Explain. 5 c. Does a UPC of 0 41800 48700 3 check? Explain. 4, Exercise 111. d. The UPC below is missing the 10th-place digit. Write an algebraic expression for this UPC that represents the result of Step 3 of the algorithm.