Explanation and proof in mathematics : philosophical and educational perspectives /
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| Otros Autores: | , , |
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| Formato: | Libro |
| Idioma: | English |
| Publicado: |
New York :
Springer,
c2010.
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Tabla de Contenidos:
- 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.