Johan Hoffman, Claes Johnson, Anders Logg

Dreams of Calculus (eBook, PDF)

Perspectives on Mathematics Education

• Format: PDF

Produktbeschreibung

In this well-reasoned and analytical account of the development and culture of mathematics, the authors address the relationship between modern mathematics and mathematical education. Concrete recommendations for much-needed reform of the teaching of mathematics are offered in hopes of stimulating further debate among the community. The book is essential reading for everybody involved in mathematics and science, and mathematics teaching.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 162
• Erscheinungstermin: 27. Juni 2011
• Englisch
• ISBN-13: 9783642185861
• Artikelnr.: 53093257

Autorenporträt

Johan Hoffman, Courant Institute of Mathematical Sciences, New York, NY, USA / Anders Logg, Chalmers University of Technology, Göteborg, Sweden

Inhaltsangabe

I Perspectives.- 1 Introduction.- 2 What? How? For Whom? Why?.- 3 A Brief History of Mathematics Education.- 4 What is Mathematics?.- 5 Virtual Reality and the Matrix.- 6 Mountain Climbing.- 7 Scientific Revolutions.- 8 Education is Based on Science.- 9 The Unreasonable Effectiveness of Mathematics the Natural Sciences?.- 10 Do We live in "The Best of Worlds"?.- 11 The Reasonable Effectiveness Computational Mathematics.- 12 Jazz/Pop/Folk vs. Classical Music.- 13 The Right to Not Know.- 14 An Agenda.- II Essence.- 15 A Very Short Calculus Course.- 16 The Solar System.- 17 Turbulence and the Clay Prize.- 18 Do Mathematicians Quarrel?.- III Appendix.- A Comments on the Directives of the Mathematics Delegation.- A.1 The Directives.- A.2 Comments.- A.3 A Sum Up.- B Preface to Body&Soul.- C Public Debate.

Rezensionen

From the reviews:

"[...] this book fills a gap in the literature of mathematics education although the analysis and conclusions in it are not constraining (but very interesting!)."

St.Götz, Monatshefte für Mathematik 148, Issue 3, 2006

"The object of this book is to make a case for computational mathematics to be treated as a subject in its own right. ... The text is copiously illustrated with diagrams associated with the topic discussed and portraits of some of the mathematicians mentioned. ... The printing and format are pleasing and the book will be of interest to those in university departments contemplating revision of syllabi."

Ll. G. Chambers, Zentralblatt MATH, Vol. 1079, 2006