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Philosophy - Epistemology & Philosophy of Science | The Companion Guide to the Mathematical Experience - Study Edition

The Companion Guide to the Mathematical Experience

Study Edition

Davis, Philip J., Hersh, Reuben, Marchisotto, Elena A.

1995, VIII, 120p. 21 illus..

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ISBN 978-1-4612-4280-2

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Content Level » Research

Keywords » Guide - Mathematica - Mathematical Experience

Related subjects » Birkhäuser Mathematics

Table of contents 

I. Introduction to this Companion Guide.- A Note to Instructors.- Special Features.- In the Text.- Topics to Explore.- Essay Assignments.- Problems.- Computer Problems.- Suggested Readings.- In the Companion Guide.- Expository Research Papers.- Topics for Classroom Discussion.- Projects.- Tutorials.- II. Chapter Guidelines.- 1. The Mathematical Landscape.- 2. Varieties of Mathematical Experience.- 3. Outer Issues.- 4. Inner Issues.- 5. Selected Topics in Mathematics.- 6. Teaching and Learning.- 7. From Certainty to Fallibility.- 8. Mathematical Reality.- III. Sample Syllabus.- First Day Handout.- Syllabus.- IV. Sample Group Activities.- The Mathematical Experience.- The Mathematical Landscape.- Varieties of Mathematical Experience.- Outer Issues: Utility.- Inner Issues.- The Pythagorean Theorem.- Pythagorean Triples.- Pascal’s Triangle 96 Connections: The Golden Ratio and Fibonacci Numbers.- From Certainty to Fallibility.- Mathematical Reality.- V. Sample Examinations.- Sample Take-Home Examination.- Sample Examination.- Sample Midterm Examination.- Sample Final Examination.- VI. Topics for Expository Research Papers.- Topics for Expository Research Papers.- Suggestions for Grading Essays and Research Papers.

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