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Explanation and Proof in Mathematics
The Conjoint Origin of Proof and Theoretical Physics
other
Author(s):
Hans Niels Jahnke
Publication date
(Online):
November 6 2009
Publisher:
Springer US
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Mathematics as an Educational Task
H. Freudenthal
,
H. FREUDENTHAL
,
Hans Freudenthal
(1973)
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Proofs and hypotheses
Hans Jahnke
(2007)
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Proclus
Proclus
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Glenn Morrow
(1970)
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Author and book information
Book Chapter
Publication date (Print):
2010
Publication date (Online):
November 6 2009
Pages
: 17-32
DOI:
10.1007/978-1-4419-0576-5_2
SO-VID:
2983f146-8a4a-4e62-bc4f-ac0c5a06eeaa
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Book chapters
pp. 1
Introduction
pp. 17
The Conjoint Origin of Proof and Theoretical Physics
pp. 33
Lakatos, Lakoff and Núñez: Towards a Satisfactory Definition of Continuity
pp. 47
Preaxiomatic Mathematical Reasoning: An Algebraic Approach
pp. 59
Completions, Constructions, and Corollaries
pp. 71
Authoritarian Versus Authoritative Teaching: Polya and Lakatos
pp. 85
Proofs as Bearers of Mathematical Knowledge
pp. 101
Mathematicians’ Individual Criteria for Accepting Theorems and Proofs: An Empirical Approach
pp. 115
Bridging Knowing and Proving in Mathematics: A Didactical Perspective
pp. 137
The Long-Term Cognitive Development of Reasoning and Proof
pp. 151
Historical Artefacts, Semiotic Mediation and Teaching Proof
pp. 169
Proofs, Semiotics and Artefacts of Information Technologies
pp. 191
Proof as Experiment in Wittgenstein
pp. 205
Experimentation and Proof in Mathematics
pp. 223
Proof, Mathematical Problem-Solving, and Explanation in Mathematics Teaching
pp. 237
Evolving Geometric Proofs in the Seventeenth Century: From Icons to Symbols
pp. 253
Proof in the Wording: Two Modalities from Ancient Chinese Algorithms
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