Explanation and Proof in Mathematics Philosophical and Educational Perspectives /
In the four decades since Imre Lakatos declared mathematics a "quasi-empirical science," increasing attention has been paid to the process of proof and argumentation in the field -- a development paralleled by the rise of computer technology and the mounting interest in the logical underpi...
Сохранить в:
| Соавтор: | |
|---|---|
| Другие авторы: | , , |
| Формат: | Электронный ресурс eКнига |
| Язык: | English |
| Опубликовано: |
New York, NY :
Springer US : Imprint: Springer,
2010.
|
| Редактирование: | 1st ed. 2010. |
| Предметы: | |
| Online-ссылка: | https://doi.org/10.1007/978-1-4419-0576-5 |
| Метки: |
Добавить метку
Нет меток, Требуется 1-ая метка записи!
|
Оглавление:
- Reflections on the Nature and Teaching of Proof
- The Conjoint Origin of Proof and Theoretical Physics
- Lakatos, Lakoff and Núñez: Towards a Satisfactory Definition of Continuity
- Preaxiomatic Mathematical Reasoning: An Algebraic Approach
- Completions, Constructions, and Corollaries
- Authoritarian Versus Authoritative Teaching: Polya and Lakatos
- Proofs as Bearers of Mathematical Knowledge
- Mathematicians’ Individual Criteria for Accepting Theorems and Proofs: An Empirical Approach
- Proof and Cognitive Development
- Bridging Knowing and Proving in Mathematics: A Didactical Perspective
- The Long-Term Cognitive Development of Reasoning and Proof
- Historical Artefacts, Semiotic Mediation and Teaching Proof
- Proofs, Semiotics and Artefacts of Information Technologies
- Experiments, Diagrams and Proofs
- Proof as Experiment in Wittgenstein
- Experimentation and Proof in Mathematics
- Proof, Mathematical Problem-Solving, and Explanation in Mathematics Teaching
- Evolving Geometric Proofs in the Seventeenth Century: From Icons to Symbols
- Proof in the Wording: Two Modalities from Ancient Chinese Algorithms.