Explanation and proof in mathematics : philosophical and educational perspectives /
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| Otros Autores: | , , |
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| Formato: | Libro |
| Idioma: | English |
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New York :
Springer,
c2010.
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| LEADER | 02763cam a22003495a 4500 | ||
|---|---|---|---|
| 001 | MAT.inmabb006529 | ||
| 008 | 090722s2010####nyua#####b####001#0#eng## | ||
| 005 | 20160223151404.0 | ||
| 245 | 0 | 0 | |a Explanation and proof in mathematics : |b philosophical and educational perspectives / |c Gila Hanna, Hans Niels Jahnke, Helmut Pulte, editors. |
| 260 | |a New York : |b Springer, |c c2010. | ||
| 300 | |a viii, 294 p. : |b il. ; |c 24 cm. | ||
| 500 | |a Versiones extendidas de los trabajos presentados en la conferencia realizada en Essen en noviembre de 2006. | ||
| 504 | |a Incluye referencias bibliográficas e índice. | ||
| 505 | 0 | 0 | |g 2. |t The Conjoint Origin of Proof and Theoretical Physics / |r Hans Niels Jahnke -- |g 3. |t Lakatos, Lakoff and Núñez: Towards a Satisfactory Definition of Continuity / |r Teun Koetsier -- |g 4. |t Preaxiomatic Mathematical Reasoning: An Algebraic Approach / |r Mary Leng -- |g 5. |t Completions, Constructions, and Corollaries / |r Thomas Mormann -- |g 6. |t Authoritarian Versus Authoritative Teaching: Polya and Lakatos / |r Brendan Larvor -- |g 7. |t Proofs as Bearers of Mathematical Knowledge / |r Gila Hanna and Ed Barbeau -- |g 8. |t Mathematicians' Individual Criteria for Accepting Theorems and Proofs: An Empirical Approach / |r Aiso Heinze. |
| 505 | 8 | 0 | |g 9. |t Bridging Knowing and Proving in Mathematics: A Didactical Perspective / |r Nicolas Balacheff -- |g 10. |t The Long-Term Cognitive Development of Reasoning and Proof / |r David Tall and Juan Pablo Mejia-Ramos -- |g 11. |t Historical Artefacts, Semiotic Mediation and Teaching Proof / |r Maria G. Bartolini Bussi -- |g 12. |t Proofs, Semiotics and Artefacts of Information Technologies / |r Maria Alessandra Mariotti. |
| 505 | 8 | 0 | |g 13. |t Proof as Experiment in Wittgenstein / |r Alfred Nordmann -- |g 14. |t Experimentation and Proof in Mathematics / |r Michael de Villiers -- |g 15. |t Proof, Mathematical Problem-Solving, and Explanation in Mathematics Teaching / |r Kazuhiko Nunokawa -- |g 16. |t Evolving Geometric Proofs in the Seventeenth Century: From Icons to Symbols / |r Evelyne Barbin -- |g 17. |t Proof in the Wording: Two Modalities from Ancient Chinese Algorithms / |r Karine Chemla. |
| 510 | 4 | |a Zbl, |c 1196.00025 | |
| 020 | |a 9781441905758 (hbk.) | ||
| 020 | |a 1441905758 (hbk.) | ||
| 020 | |a 1441905766 (ebk.) | ||
| 020 | |a 9781441905765 (ebk.) | ||
| 700 | 1 | |a Hanna, G. |q (Gila), |d 1934- |4 edt | |
| 700 | 1 | |a Jahnke, H. N. |q (Hans Niels), |d 1948- |4 edt | |
| 700 | 1 | |a Pulte, Helmut. |4 edt | |
| 650 | 0 | |a Proof theory. | |
| 650 | 0 | |a Mathematics |x Philosophy. | |
| 084 | |a 03Fxx (97Dxx 00A35 00A30 03-06 97-06) |2 msc2000 | ||
| 084 | |a 00A35 (00A30 00B25 03-06 97-06 00B15) |2 ZMATH | ||
| 010 | |a 2009933111 | ||
| 016 | 7 | |a 015297992 |2 Uk | |
| 040 | |a UKM |c UKM |d BWX |d OCLCQ |d CDX |d YDXCP |d GEBAY |d DEBBG |d DLC | ||
| 859 | |h 97 |i Ex96 |p A-8750 |b BIB. MATEMATICA | ||