Explanation and proof in mathematics : philosophical and educational perspectives / Gila Hanna, Hans Niels Jahnke, Helmut Pulte, editors.
Editor: New York : Springer, c2010Descripción: viii, 294 p. : il. ; 24 cmISBN: 9781441905758 (hbk.); 1441905758 (hbk.); 1441905766 (ebk.); 9781441905765 (ebk.)Tema(s): Proof theory | Mathematics -- PhilosophyOtra clasificación: 03Fxx (97Dxx 00A35 00A30 03-06 97-06) | 00A35 (00A30 00B25 03-06 97-06 00B15)| Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode |
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 97 Ex96 (Browse shelf) | Available | A-8750 |
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Versiones extendidas de los trabajos presentados en la conferencia realizada en Essen en noviembre de 2006.
Incluye referencias bibliográficas e índice.
2. The Conjoint Origin of Proof and Theoretical Physics / Hans Niels Jahnke -- 3. Lakatos, Lakoff and Núñez: Towards a Satisfactory Definition of Continuity / Teun Koetsier -- 4. Preaxiomatic Mathematical Reasoning: An Algebraic Approach / Mary Leng -- 5. Completions, Constructions, and Corollaries / Thomas Mormann -- 6. Authoritarian Versus Authoritative Teaching: Polya and Lakatos / Brendan Larvor -- 7. Proofs as Bearers of Mathematical Knowledge / Gila Hanna and Ed Barbeau -- 8. Mathematicians' Individual Criteria for Accepting Theorems and Proofs: An Empirical Approach / Aiso Heinze.
9. Bridging Knowing and Proving in Mathematics: A Didactical Perspective / Nicolas Balacheff -- 10. The Long-Term Cognitive Development of Reasoning and Proof / David Tall and Juan Pablo Mejia-Ramos -- 11. Historical Artefacts, Semiotic Mediation and Teaching Proof / Maria G. Bartolini Bussi -- 12. Proofs, Semiotics and Artefacts of Information Technologies / Maria Alessandra Mariotti.
13. Proof as Experiment in Wittgenstein / Alfred Nordmann -- 14. Experimentation and Proof in Mathematics / Michael de Villiers -- 15. Proof, Mathematical Problem-Solving, and Explanation in Mathematics Teaching / Kazuhiko Nunokawa -- 16. Evolving Geometric Proofs in the Seventeenth Century: From Icons to Symbols / Evelyne Barbin -- 17. Proof in the Wording: Two Modalities from Ancient Chinese Algorithms / Karine Chemla.
Zbl, 1196.00025
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