
Out of the Labyrinth
Description
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In classrooms around the world, Robert and Ellen Kaplan's pioneering Math Circle program, begun at Harvard, has introduced students ages six to sixty to the pleasures of mathematics, exploring topics that range from Roman numerals to quantum mechanics.
In Out of the Labyrinth, the Kaplans reveal the secrets of their highly successful approach, which embraces the exhilarating joy of math's "accessible mysteries." Stocked with puzzles, colorful anecdotes, and insights from the authors' own teaching experience, Out of the Labyrinth is both an engaging and practical guide for parents and educators, and a treasure chest of mathematical discoveries. For any reader who has felt the excitement of mathematical discovery-or tried to convey it to someone else-this volume will be a delightful and valued companion.
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Content
- Intro
- 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
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