Theories of Mathematical Learning (eBook, ePUB)

Redaktion: Steffe, Leslie P.; Greer, Brian; Sriraman, Bharath; Cobb, Paul; Nesher, Pearla

• Format: ePub

Produktbeschreibung

Chemists, working with only mortars and pestles, could not get very far unless they had mathematical models to explain what was happening "e;inside"e; of their elements of experience -- an example of what could be termed mathematical learning. This volume contains the proceedings of Work Group 4: Theories of Mathematics, a subgroup of the Seventh International Congress on Mathematical Education held at Universit Laval in Qubec. Bringing together multiple perspectives on mathematical thinking, this volume presents elaborations on principles reflecting the progress made in the field over the past 20 years and represents starting points for understanding mathematical learning today. This volume will be of importance to educational researchers, math educators, graduate students of mathematical learning, and anyone interested in the enterprise of improving mathematical learning worldwide.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 544
• Erscheinungstermin: 3. April 2013
• Englisch
• ISBN-13: 9781136485541
• Artikelnr.: 38268771

Autorenporträt

Leslie P. Steffe, Pearla Nesher, Paul Cobb, Bharath Sriraman, Brian Greer

Inhaltsangabe

Contents: Preface. Part I: P. Cobb
Sociological and Anthropological Perspectives on Mathematics Learning.P. Cobb
B. Jaworski
N. Presmeg
Emergent and Sociocultural Views of Mathematical Activity. J. Voigt
Negotiation of Mathematical Meaning in Classroom Processes: Social Interaction and Learning Mathematics. G.B. Saxe
T. Bermudez
Emergent Mathematical Environments in Children's Games. J. Richards
Negotiating the Negotiation of Meaning: Comments on Voigt (1992) and Saxe and Bermudez (1992). A.D. Schliemann
D.W. Carraher
Negotiationg Mathematical Meanings In and Out of School. E. Yackel
Social Interaction and Individual Cognition. B. van Oers
Learning Mathematics as a Meaningful Activity. E.A. Forman
Learning Mathematics as Participation in Classroom Practice: Implications of Sociocultural Theory for Educational Reform. K. Crawford
Cultural Processes and Learning: Expectations
Actions
and Outcomes. J.W. Stigler
C. Fernandez
M. Yoshida
Traditions of School Mathematics in Japanese and American Elementary Classrooms. Part II: B. Greer
Cognitive Science Theories and Their Contributions to the Learning of Mathematics.B. Greer
Theories of Mathematics Education: The Role of Cognitive Analyses. G. Hatano
A Conception of Knowledge Acquisition and Its Implications for Mathematics Education. G. Vergnaud
The Theory of Conceptual Fields. D.W. Carraher
Learning About Fractions. P.W. Thompson
Imagery and the Development of Mathematical Reasoning. R.B. Davis
Cognition
Mathematics
and Education. Part III: G.A. Goldin
The Contribution of Constructivism to the Learning of Mathematics.G.A. Goldin
Theory of Mathematics Education: The Contributions of Constructivism. E. von Glasersfeld
Aspects of Radical Constructivism and Its Educational Recommendations. F. Marton
D. Neuman
Phenomenography and Children's Experience of Division. P. Ernest
Varieties of Constructivism: A Framework for Comparison. N. Herscovics
The Construction of Conceptual Schemes in Mathematics. G. Booker
Constructing Mathematical Conventions Formed by the Abstraction and Generalization of Earlier Ideas: The Development of Initial Fraction Ideas. G.A. Goldin
J.J. Kaput
A Joint Perspective on the Idea of Representation in Learning and Doing Mathematics. C.A. Maher
A.M. Martino
Young Children Invent Methods of Proof: The Gang of Four. C. Janvier
Constructivism and Its Consequences for Training Teachers. Part IV: Perspectives on the Nature of Mathematical Learning.W. Dörfler
Is the Metaphor of Mental Object Appropriate for a Theory of Learning Mathematics? L.P. Steffe
H.G. Wiegel
On the Nature of a Model of Mathematical Learning.