Math!: Encounters with High School Students 1985th Edition by Serge Lang (PDF)

Description

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

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is one of those, surprisingly, rare mathematics books that is accessible to a general audience, without talking down or glossing over the mathematics. The book records a series of presentations by Serge Lang to high school students in Toronto. The talks cover primarily geometry and algebra, and in this context readers are introduced not only to geometric ideas but concepts also relevant to calculus and infinity.The first chapter is nominally about pi, but while introducing pi the author presents numerous concepts including the use of regular polygons inscribed in a circle to approximate pi. The number of sides of the inscribed polygons are increased until they approach infinity, with future relevance to integration (although not explicitly covered in this chapter). Later chapters extend the idea of using various geometric concepts and figures, some multi-dimensional, to find the volume of a ball, the length of a circle, and the area of a sphere. The book closes with chapters on Pythagorean triplets, infinities, and how mathematics should be taught and learned.This book should be accessible to readers with a modest mathematics background, such as obtained in high school. Topics covered are presented with unique insights and perspectives that frequently differ from typical classroom texts. While mathematics is a not a spectator sport, readers can gain real insights and understanding by thinking about the concepts as they are presented, and without necessarily taking pencil to paper.The title may suggest that this is a book primarily for high school students and their teachers. However, this would be inappropriately limiting its audience. Even recognizing the relatively high list price for this small paperback, this unique and relatively short book (it can be completed in less than a day) should prove informative and interesting to both a general audience and those with more extensive mathematics backgrounds – highly recommended.

⭐I studied under Lang while a grad student at Yale. His lectures are always original and insightful. He makes math look easy. No wonder he won the Steele Prize for exposition. In this book for high school students his approach anticipates calculus in a very clever way. I think it is a viable approach to teaching geometry to students that prepares them to take calculus

Keywords

Free Download Math!: Encounters with High School Students 1985th Edition in PDF format
Math!: Encounters with High School Students 1985th Edition PDF Free Download
Download Math!: Encounters with High School Students 1985th Edition 1985 PDF Free
Math!: Encounters with High School Students 1985th Edition 1985 PDF Free Download
Download Math!: Encounters with High School Students 1985th Edition PDF
Free Download Ebook Math!: Encounters with High School Students 1985th Edition