Verfügbarkeit: Explanation and proof in mathematics | Technische Universität München

Explanation and proof in mathematics: philosophical and educational perspectives

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Bibliographische Detailangaben
Weitere beteiligte Personen:	Hanna, Gila 1934- (HerausgeberIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	New York [u.a.] Springer 2010
Schlagwörter:	Mathematics / Philosophy Proof theory Mathematik Philosophie Mathematics > Philosophy Beweistheorie
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018879505&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	VIII, 294 S. Ill., graph. Darst.
ISBN:	9781441905758 1441905758

Internformat

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Datensatz im Suchindex

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adam_text	Titel: Explanation and Proof in Mathematics Autor: Hanna, Gila Jahr: 2010 Contents 1 Introduction............................................................................................... 1 Part I Reflections on the Nature and Teaching of Proof 2 The Conjoint Origin of Proof and Theoretical Physics......................... 17 Hans Niels Jahnke 3 Lakatos, Lakoff and Nunez: Towards a Satisfactory Definition of Continuity............................................................................ 33 Teun Koetsier 4 Preaxiomatic Mathematical Reasoning: An Algebraic Approach............................................................................ 47 Mary Leng 5 Completions, Constructions, and Corollaries......................................... 59 Thomas Mormann 6 Authoritarian Versus Authoritative Teaching: Polyaand Lakatos..................................................................................... 71 Brendan Larvor 7 Proofs as Bearers of Mathematical Knowledge...................................... 85 Gila Hanna and Ed Barbeau 8 Mathematicians Individual Criteria for Accepting Theorems and Proofs: An Empirical Approach..................................... 101 Aiso Heinze v¡ Contents Part II Proof and Cognitive Development 9 Bridging Knowing and Proving in Mathematics: A Didactical Perspective......................................................................... 115 Nicolas Balacheff 10 The Long-Term Cognitive Development of Reasoning and Proof.................................................................................................. 137 David Tall and Juan Pablo Mejia-Ramos 11 Historical Artefacts, Semiotic Mediation and Teaching Proof........... 151 Maria G. Bartolini Bussi 12 Proofs, Semiotics and Artefacts of Information Technologies............ 169 Maria Alessandra Mariotti Part HI Experiments, Diagrams and Proofs 13 Proof as Experiment in Wittgenstein.................................................... 191 Alfred Nordmann 14 Experimentation and Proof in Mathematics........................................ 205 Michael de Villiers 15 Proof, Mathematical Problem-Solving, and Explanation in Mathematics Teaching........................................................................ 223 Kazuhiko Nunokawa 16 Evolving Geometric Proofs in the Seventeenth Century: From Icons to Symbols........................................................................... 237 Evelyne Barbin 17 Proof in the Wording: Two Modalities from Ancient Chinese Algorithms................................................................................. 253 Karine Chemla Index................................................................................................................. 287
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isbn	9781441905758 1441905758
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spellingShingle	Explanation and proof in mathematics philosophical and educational perspectives Mathematics / Philosophy Proof theory Mathematik Philosophie Mathematics Philosophy Beweistheorie (DE-588)4145177-6 gnd Philosophie (DE-588)4045791-6 gnd
subject_GND	(DE-588)4145177-6 (DE-588)4045791-6
title	Explanation and proof in mathematics philosophical and educational perspectives
title_auth	Explanation and proof in mathematics philosophical and educational perspectives
title_exact_search	Explanation and proof in mathematics philosophical and educational perspectives
title_full	Explanation and proof in mathematics philosophical and educational perspectives Gila Hanna ... eds.
title_fullStr	Explanation and proof in mathematics philosophical and educational perspectives Gila Hanna ... eds.
title_full_unstemmed	Explanation and proof in mathematics philosophical and educational perspectives Gila Hanna ... eds.
title_short	Explanation and proof in mathematics
title_sort	explanation and proof in mathematics philosophical and educational perspectives
title_sub	philosophical and educational perspectives
topic	Mathematics / Philosophy Proof theory Mathematik Philosophie Mathematics Philosophy Beweistheorie (DE-588)4145177-6 gnd Philosophie (DE-588)4045791-6 gnd
topic_facet	Mathematics / Philosophy Proof theory Mathematik Philosophie Mathematics Philosophy Beweistheorie
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