Out of the labyrinth : setting mathematics free / Robert Kaplan and Ellen Kaplan ; illustrations by Ellen Kaplan.

Acknowledgments
ch.1. A glimpse inside
ch. 2. Cod liver oil
ch. 3. The myth of talent
ch. 4. Making your hats
1. Holding on
Stubborness
Orneriness
A high threshold of frustration
2. Taking apart
Method vs. approach
Atomizing
Attention without tension
Precision
Rotating the diamond
Breaking apart
Pursuing the possible
3. Putting together
Play
Stubborness revisited
The riddle of the pygmy shrew
Analogy
Holding hypotheses like birds
Experimental fervor
The architectural instinct
The conductor
ch. 5. 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?

ch. 6. 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
ch. 7. How mathematicians actually work
ch. 8. The math circle
Ends
Beginnings
The students
The leaders
The math
Connecting
Intuition grows
A proof takes shape
Looking leads to seeing
g Competition
ch. 9. Filling in the details
Where's the kit?
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?
To take with you
Appendix : Thoughts of a young teacher
A note on our pronouns
Index.