The philosophy of mathematics education:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London [u.a.]
Falmer Press
1991
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 297 - 317 |
| Beschreibung: | XIV, 329 S. graph. Darst. |
| ISBN: | 1850006660 1850006679 |
Internformat
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| 100 | 1 | |a Ernest, Paul |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The philosophy of mathematics education |c Paul Ernest |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a London [u.a.] |b Falmer Press |c 1991 | |
| 300 | |a XIV, 329 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804123064594595840 |
|---|---|
| adam_text | Contente
List of Tables and Figures
viii
Acknowledgments
ix
Introduction
xi
Rationale
xi
The Philosophy of Mathematics Education
xii
This Book
xvi
Part
1
The Philosophy of Mathematics
1
1
A Critique of Absolutist Philosophies of Mathematics
3
Introduction
3
The Philosophy of Mathematics
3
The Nature of Mathematical Knowledge
4
The Absolutist View of Mathematical Knowledge
7
The Fallacy of Absolutism
13
The Faffibilist Critique of Absolutism
15
The Fallibilist View
18
Conclusion
20
2
The Philosophy of Mathematics Reconceptualized
23
The Scope of the Philosophy of Mathematics
23
A Further Examination of Philosophical Schools
27
Quasi-empiricism
34
3
Social Constructivism as a Philosophy of Mathematics
42
Social Constructivism
42
Objective and Subjective Knowledge
45
Social Constructivism: Objective Knowledge
49
A Critical Examination of the Proposals
60
4
Social Constructivism and Subjective Knowledge
68
Prologue
68
The Genesis of Subjective Knowledge
69
Relating Objective and Subjective Knowledge of Mathematics
81
Criticism of Social Constructivism
85
5
The Parallels of Social Constructivism
89
Introduction
89
Philosophical Parallels
89
Sociological Perspectives of Mathematics
93
Psychological Parallels
101
Conclusion: A Global Theory of Mathematics
106
Part
2
The Philosophy of Mathematics Education
109
6
Aims and Ideologies of Mathematics Education 111
Epistemological and Ethical Positions 111
Aims in Education: An Overview
121
7
Groups -with Utilitarian Ideologies
137
Overview of the Ideologies and Groups
137
The Industrial Trainers
140
The Technological Pragmatists
151
8
Groups with Purist Ideologies
168
The Old Humanists
168
The Progressive Educators
181
9
The Social Change Ideology of the Public Educators
197
The Public Educators
197
A Critical Review of the Model of Ideologies
214
10
Critical Review of Cockcroft and the National Curriculum
217
Introduction
217
The Aims of
Officiai
Reports on Mathematics Education
219
The National Curriculum in Mathematics
224
Conclusion
230
11
Hierarchy in Mathematics, Learning, Ability and Society
232
Hierarchy in Mathematics
232
Hierarchy in Learning Mathematics
238
The Hierarchy of Mathematical Ability
243
Social Hierarchy
248
Inter-relating Mathematical, Ability, and Social Hierarchies
254
12
Mathematics, Values and Equal Opportunities
259
Mathematics and Values
259
Anti-racist and Multicultural Mathematics Education
266
Gender and Mathematics Education
274
Conclusion
279
13
Investigation,
Problem
Solving and Pedagogy
281
Mathematics Results from Human Problem Posing and Solving
281
Problems and Investigations in Education
283
The Power of Problem Posing Pedagogy
291
Conclusion
295
References
297
Index
317
|
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| dewey-full | 510/.71 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510/.71 |
| dewey-search | 510/.71 |
| dewey-sort | 3510 271 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV008725476 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:23:50Z |
| institution | BVB |
| isbn | 1850006660 1850006679 |
| language | English |
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| physical | XIV, 329 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Falmer Press |
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| spelling | Ernest, Paul Verfasser aut The philosophy of mathematics education Paul Ernest 1. publ. London [u.a.] Falmer Press 1991 XIV, 329 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 297 - 317 Mathématiques - Étude et enseignement - Philosophie Mathematik Philosophie Mathematics Study and teaching Philosophy Erziehungsphilosophie (DE-588)4070955-3 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematikunterricht (DE-588)4037949-8 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Philosophie (DE-588)4045791-6 s Mathematikunterricht (DE-588)4037949-8 s DE-604 Mathematik (DE-588)4037944-9 s 1\p DE-604 Erziehungsphilosophie (DE-588)4070955-3 s 2\p DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005756041&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ernest, Paul The philosophy of mathematics education Mathématiques - Étude et enseignement - Philosophie Mathematik Philosophie Mathematics Study and teaching Philosophy Erziehungsphilosophie (DE-588)4070955-3 gnd Philosophie (DE-588)4045791-6 gnd Mathematikunterricht (DE-588)4037949-8 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4070955-3 (DE-588)4045791-6 (DE-588)4037949-8 (DE-588)4037944-9 |
| title | The philosophy of mathematics education |
| title_auth | The philosophy of mathematics education |
| title_exact_search | The philosophy of mathematics education |
| title_full | The philosophy of mathematics education Paul Ernest |
| title_fullStr | The philosophy of mathematics education Paul Ernest |
| title_full_unstemmed | The philosophy of mathematics education Paul Ernest |
| title_short | The philosophy of mathematics education |
| title_sort | the philosophy of mathematics education |
| topic | Mathématiques - Étude et enseignement - Philosophie Mathematik Philosophie Mathematics Study and teaching Philosophy Erziehungsphilosophie (DE-588)4070955-3 gnd Philosophie (DE-588)4045791-6 gnd Mathematikunterricht (DE-588)4037949-8 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Mathématiques - Étude et enseignement - Philosophie Mathematik Philosophie Mathematics Study and teaching Philosophy Erziehungsphilosophie Mathematikunterricht |
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