Dialogue and Learning in Mathematics Education

Intention, Reflection, Critique

By: Helle AlrÃ¸, Ole Skovsmose

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Hardcover | 31 May 2003

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296 Pages

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24.13 x 16.51 x 2.54

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Dialogue and Learning in Mathematics Education is concerned with communication in mathematics class-rooms. In a series of empirical studies of project work, we follow students' inquiry cooperation as well as students' obstructions to inquiry cooperation. Both are considered important for a theory of learning mathematics.
Special attention is paid to the notions of `dialogue' and `critique'. A central idea is that `dialogue' supports `critical learning of mathematics'. The link between dialogue and critique is developed further by including the notions of `intention' and `reflection'. Thus a theory of learning mathematics is developed which is resonant with critical mathematics education.

Industry Reviews

From the reviews:

"Dialogue and Learning in Mathematics Education addresses communication in mathematics classrooms and builds on many theoretical and philosophical bases a ] . This book will be of interest to educational philosophers. The book uses transcripts to share student discussions in very open-ended projects called a ~landscapes of investigationa (TM)." (Rheta N. Rubenstein, Mathematics Teacher, Vol. 99 (2), September, 2005)

From the reviews:

"Dialogue and Learning in Mathematics Education addresses communication in mathematics classrooms and builds on many theoretical and philosophical bases ??? . This book will be of interest to educational philosophers. The book uses transcripts to share student discussions in very open-ended projects called ???landscapes of investigation???." (Rheta N. Rubenstein, Mathematics Teacher, Vol. 99 (2), September, 2005)

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Non-Fiction Education Teaching of a Specific Subject Reference, Information & Interdisciplinary Subjects Interdisciplinary Studies Communication Studies Mathematics

Acknowledgements	p. vii
Introduction	p. 1
Qualities of Communication	p. 1
Qualities of Learning Mathematics	p. 7
Qutline of the Content of the Book	p. 11
Communication in the Mathematics Classroom	p. 21
Mistakes and Corrections	p. 23
Bureaucratic Absolutism	p. 26
Perspective	p. 28
'How Much does a Newspaper Fill?'	p. 30
Learning as Action	p. 41
Inquiry Co-operation	p. 45
From Exercises to Landscapes of Investigation	p. 46
Entering a Landscape of Investigation	p. 51
'What does the Danish Flag Look Like?'	p. 54
Inquiry Co-operation Model	p. 62
Obstructions to Inquiry Co-operation	p. 65
Further Development of the Inquiry Co-operation Model	p. 69
'Batman & Co.'	p. 69
The Inquiry Co-operation Model Reconsidered	p. 100
Getting in Contact	p. 101
Locating	p. 101
Identifying	p. 103
Advocating	p. 105
Thinking Aloud	p. 107
Reformulating	p. 108
Challenging	p. 109
Evaluating	p. 109
Dialogue and Learning	p. 113
The Socratic Dialogue	p. 114
Dialogic Qualities	p. 115
Making an Inquiry	p. 118
Running a Risk	p. 122
Maintaining Equality	p. 124
How to Do Things with Dialogue	p. 126
Dialogic Acts--The Inquiry Co-operation Model Reconsidered	p. 128
Dialogic Teaching and Learning--And Its Fragility	p. 130
Dialogic Teaching and Learning--And Its Significance	p. 132
Intention and Learning	p. 137
'Travel Agency'	p. 138
Intention	p. 154
Intentions-in-Learning	p. 156
Underground Intentions	p. 158
Resources of Intentions	p. 160
Reflection and Learning	p. 165
'Caramel Boxes'	p. 166
Reflection	p. 184
Scope of Reflections	p. 184
Subject of Reflections	p. 188
Context of Reflections	p. 191
Reflection and Intention--Explosive Concepts	p. 193
Critique and Learning	p. 195
The Challenge of Critique	p. 196
'Terrible Small Numbers'	p. 199
Reliability	p. 202
Responsibility	p. 217
Critique	p. 230
Intention and Critique	p. 231
Reflection and Critique	p. 233
Dialogue and Critique	p. 235
The Challenge of Critique--Too Difficult?	p. 238
Critical Epistemology and the Learning of Mathematics	p. 243
Mono-logical Epistemology	p. 243
Dia-logical Epistemology	p. 247
Non-critical Epistemology	p. 251
Critical Epistemology	p. 255
Learning Mathematics Critically	p. 259
References	p. 263
Name Index	p. 277
Subject Index	p. 281
Table of Contents provided by Ingram. All Rights Reserved.

Dialogue and Learning in Mathematics Education

Intention, Reflection, Critique

At a Glance

Hardcover

Industry Reviews

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Defective items

You Can Find This Book In

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