Extending the Frontiers of Mathematics: Inquiries into Proof and Argumentation - Softcover

Burger, Edward B.

 
9781597570428: Extending the Frontiers of Mathematics: Inquiries into Proof and Argumentation
Softcover
ISBN 10: 1597570427 ISBN 13: 9781597570428
Publisher: Key College Publishing, 2007

Synopsis

This book leads students to develop a mature process that will serve them throughout their professional careers, whether inside or outside of mathematics. Its inquiry-based approach to the foundations of mathematics promotes exploration of proofs and other advanced mathematical ideas. The book uses puzzles and patterns, teaches the "prove and extend or disprove and salvage" approach to problems and proofs, and builds mathematical challenge on challenge to boost skills.

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From the Back Cover

In the real world of research mathematics, mathematicians do not know in advance if their assertions are true or false. Extending the Frontiers of Mathematics: Inquiries into proof and argumentation requires students to develop a mature process that will serve them throughout their professional careers, either inside or outside of mathematics.”Its inquiry-based approach to the foundations of mathematics promotes exploring proofs and other advanced mathematical ideas through these features:
Puzzles and patterns introduce the pedagogy. These precursors to proofs generate creativity and imagination that the author builds on later
Prove and extend or disprove and salvage, a consistent format of the text, provides a framework for approaching problems and creating mathematical proofs
Mathematical challenges are presented which build upon each other, motivate analytical skills, and foster interesting discussion.

"About this title" may belong to another edition of this title.

Publisher
Key College Publishing
Publication date
2007
Language
English
ISBN 10 
1597570427
ISBN 13 
9781597570428
Binding
Paperback
Number of pages
128