USING COUNTER-EXAMPLES IN CALCULUS - Hardcover

Mason, John H; Klymchuk, Sergiy

Hardcover

ISBN 10: 1848163592 ISBN 13: 9781848163591

Publisher: Imperial College Press, 2009

Synopsis

This book makes accessible to calculus students in high school, college and university a range of counter-examples to “conjectures” that many students erroneously make. In addition, it urges readers to construct their own examples by tinkering with the ones shown here in order to enrich the example spaces to which they have access, and to deepen their appreciation of conspectus and conditions applying to theorems.

About this title

About the Author:

Dr Sergiy Klymchuk is an Associate Professor of the School of Computing and Mathematical Sciences at the Auckland University of Technology, New Zealand. He has 29 years of experience teaching university mathematics in different countries. He was born in Ukraine in 1958. Since 1996 he has lived in New Zealand. His PhD (1988) from Odessa National University, Ukraine was in differential equations. At present his main research interests are in mathematics education. He is a member of the Royal Society of New Zealand. He is also a member of a number of international groups in mathematics education including International Group for the Psychology in Mathematics Education (PME) and International Community of Teachers of Mathematical Modelling and Applications (ICTMA). Apart from Counterexamples in Calculus he also has written Paradoxes and Sophisms in Calculus as a supplementary resource to enhance teaching and learning of introductory calculus. He has more than 140 publications including three books on popular mathematics and science that have been, or are being, published in 11 countries: Money Puzzles, Science Puzzles and Shape Puzzles.

Review:

I would encourage calculus teachers/lecturers to read this book. It has to generate ideas that will improve our teaching of the subject. --Derek Holton, Emeritus Professor, University of Otago, Honorary Professor, University of Melbourne

This booklet is useful not only for the teachers but for the students as well. It is quite elementary, and the discussion of the counter-examples can be easily understood by students. --Zentralblatt MATH

About this edition

• Publisher: Imperial College Press
• Publication date: 2009
• ISBN 10: 1848163592
• ISBN 13: 9781848163591
• Binding: Hardcover
• Number of pages: 116