Items related to Discovering Mathematics: The Art of Investigation
One of the most striking characteristics of mathematics is that thoughtful and persistent mathematical analysis often provokes totally unexpected insights into what may at first have looked like an uninteresting or intractable problem. This book gives students an opportunity to discover the nature and process of mathematics by developing their ability to investigate problems without relying on the standardized methods usually taught. The techniques required are elementary, allowing the student to concentrate on the way the material is explored and developed, and on the strategies for addressing questions whose answers are not immediately obvious. The book will challenge high school and college mathematics students as well as interested general readers.
"synopsis" may belong to another edition of this title.
About the Author:
A. Gardiner, Department of Mathematics, University of Birmingham.
Review:
`All aspiring mathematicians should work through this inspiring book ... This is a marvellous account of beginning with a problem/challenge, of negotiating numbers and doodling diagrams to become familiar with what aspects are important/unimportant, of using mathematical knowledge, of
searching for patterns, of making predictions, of checking, of realising frustration, of the reward for perseverance, of seeing the complex become simple, of explaining and proving results, and of final triumph and pleasure. The author is to be congratulated for not only writing such an account, but
for writing it with clarity, wit and enthusiasm.'
Mathematical Review
`This is not a book about mathematics but about doing mathematics. The explicit aim of the author is to guide the reader in thinking about, and mentally investigating a mathematical problem. In this sense the real content of the book is not contained in the book itself. The reader has to use
the presented text, the hints, the exercises and so on for developing subjective experience with, and expertise in, formulating hypotheses, finding proofs, checking hypotheses and many other valuable cognitive techniques. To attain this goal different problems are presented and the process of
solution is documented in a very detailed and exemplary way . . . Mathematics could be much more attractive and valuable if teachers would make use of problems like those presented here and - even more important - would implement a teaching style in accordance with this presentation.'
Zentrallblatt fur Mathematik
`All aspiring mathematicians should work through this inspiring book ... This is a marvellous account of beginning with a problem/challenge, of negotiating numbers and doodling diagrams to become familiar with what aspects are important/unimportant, of using mathematical knowledge, of
searching for patterns, of making predictions, of checking, of realising frustration, of the reward for perseverance, of seeing the complex become simple, of explaining and proving results, and of final triumph and pleasure. The author is to be congratulated for not only writing such an account, but
for writing it with clarity, wit and enthusiasm.'
Mathematical Gazette
searching for patterns, of making predictions, of checking, of realising frustration, of the reward for perseverance, of seeing the complex become simple, of explaining and proving results, and of final triumph and pleasure. The author is to be congratulated for not only writing such an account, but
for writing it with clarity, wit and enthusiasm.'
Mathematical Review
`This is not a book about mathematics but about doing mathematics. The explicit aim of the author is to guide the reader in thinking about, and mentally investigating a mathematical problem. In this sense the real content of the book is not contained in the book itself. The reader has to use
the presented text, the hints, the exercises and so on for developing subjective experience with, and expertise in, formulating hypotheses, finding proofs, checking hypotheses and many other valuable cognitive techniques. To attain this goal different problems are presented and the process of
solution is documented in a very detailed and exemplary way . . . Mathematics could be much more attractive and valuable if teachers would make use of problems like those presented here and - even more important - would implement a teaching style in accordance with this presentation.'
Zentrallblatt fur Mathematik
`All aspiring mathematicians should work through this inspiring book ... This is a marvellous account of beginning with a problem/challenge, of negotiating numbers and doodling diagrams to become familiar with what aspects are important/unimportant, of using mathematical knowledge, of
searching for patterns, of making predictions, of checking, of realising frustration, of the reward for perseverance, of seeing the complex become simple, of explaining and proving results, and of final triumph and pleasure. The author is to be congratulated for not only writing such an account, but
for writing it with clarity, wit and enthusiasm.'
Mathematical Gazette
"About this title" may belong to another edition of this title.
- PublisherOxford University Press
- Publication date1987
- ISBN 10 0198532652
- ISBN 13 9780198532651
- BindingPaperback
- Number of pages220
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Discovering Mathematics: The Art of Investigation
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DISCOVERING MATHEMATICS: THE ART
Published by
Oxford University Press
(1987)
ISBN 10: 0198532652
ISBN 13: 9780198532651
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Softcover
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