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Extending Frontiers of Mathematics
Extending Frontiers of Mathematics
Author: Burger
Edition/Copyright: 2007
Publisher: Vitalsource Rentals
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VitalSource Format   VitalSource Format:   $43.20  eSavings $107.55   View VitalSource Format Details
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Summary
 
  Summary

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

 

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