Description |
ix, 244 pages : illustrations ; 24 cm |
Note |
Includes index. |
Contents |
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? |
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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. |
Subject |
Mathematics -- Study and teaching -- United States.
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Added Author |
Kaplan, Ellen, 1936-
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ISBN |
0195147448 |
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9780195147445 |
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