Out of the Labyrinth by Kaplan, Robert -- Read -- Imperial Library of Trantor

Index

Cover Title Page Dedication Contents Chapter One: A Glimpse Inside Chapter Two: Cod Liver Oil Chapter Three: The Myth of Talent Chapter Four: Making Your Hats

1. Holding On

Stubbornness Orneriness A High Threshold of Frustration The Jump-Cut Mind Putting On Hold

2. Taking Apart

Method vs. Approach Atomizing Attention Without Tension Precision Rotating the Diamond Breaking Apart Pursuing the Possible

3. Putting Together

Play Stubbornness Revisited The Riddle of the Pygmy Shrew Analogy Holding Hypotheses Like Birds Experimental Fervor The Architectural Instinct The Conductor

Chapter Five: The Great Barrier Reef

Language: Symbols Language: Equations Language: Third Person Remote The Buddha, the Bodhisattva, and the Bo Climbing a Tall Building Alienation Diamond Hard Who Cares?

Chapter Six: How Math Has Been Taught

Behind the Phenomena The Teaching Wars Cookbooks, Song-Lines, and Games Ancestral Voices Calling for Reform Anticurriculum The Curate’s Egg Russian Math Circles

Chapter Seven: How Mathematicians Actually Work Chapter Eight: The Math Circle

Ends Beginnings The Students The Leaders The Math Connecting Intuition Grows A Proof Takes Shape Looking Leads to Seeing Competition

Chapter Nine: Filling in the Details

Where’s the Kit? Math Itself Courses Sample Outline of a Middle Course: Interesting Points in Triangles Piecemeal Advice Perilous Turnings and Pivotal Moments From a Journal What’s the Way Forward? The Summer Institute To Take with You

Acknowledgments Footnotes Appendix: Thoughts of a Young Teacher A Note on Our Pronouns eCopyright