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Activity and sign : grounding mathematics education

Author: Michael Hoffmann; Johannes Lenhard; Falk Seeger
Publisher: New York : Springer, ©2005.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This volume provides new sources of knowledge based on Michael Otte's fundamental insight that understanding the problems of mathematics education - how to teach, how to learn, how to communicate, how to do, and how to represent mathematics - depends on means, mainly philosophical and semiotic, that have to be created first of all, and to be reflected from the perspectives of a multitude of diverse  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Michael Hoffmann; Johannes Lenhard; Falk Seeger
ISBN: 0387242694 9780387242699 0387242708 9780387242705 1441937110 9781441937117
OCLC Number: 57349192
Description: 389 pages : illustrations ; 25 cm
Contents: Grounding Mathematics Education : Michael Otte's contribution / Michael Hoffmann, Johannes Lenhard and Falk Seeger --
Mathematics, Sign and Activity / Michael Otte --
A. Sign Processes --
Agency and Creativity in the Semiotics of Learning Mathematics / Paul Ernest --
The Semiotic Approach to Mathematical Evidence and Generalization / Susanna Marietti --
Signs as Means for Discoveries : Peirce and His Concepts of "Diagrammatic Reasoning," "Theorematic Deduction," "Hypostatic Abstraction", and "Theoric Transformation" / Michael Hoffmann --
Diagrammatic Thinking : Affordances and Constraints / Willibald Dorfler --
Notes on a Semiotically Inspired Theory of Teaching and Learning / Falk Seeger --
B. Sign Processes in the Mathematics Classroom --
Semiotic Mediation in the Primary School : Durer's Glass / Maria G. Bartolini Bussi, Maria Alessandra Mariotti and Franca Ferri --
Do Mathematical Symbols Serve to Describe or Construct "Reality"? : Epistemological Problems in Teaching Mathematics in the Field of Elementary Algebra / Heinz Steinbring --
Metaphor and Metonymy in Processes of Semiosis in Mathematics Education / Norma Presmeg --
On Practical and Theoretical Thinking and Other False Dichotomies in Mathematics Education / Anna Sierpinska --
The Semiotics of the Schema : Kant, Piaget, and the Calculator / Luis Radford --
C. Mathematics Education as a Science --
Towards a Normal Science of Mathematics Education? / Kenneth Ruthven --
The Study of the Didactical Conditions of School Learning in Mathematics / Guy Brousseau --
The Formal, the Social and the Subjective : Variations on a Theme of Michael Otte / Roland Fischer --
D. Crossing Boundaries --
Reflective learning : Problems and Questions Concerning a Current Contextualization of the Vygotskian Approach / Bernd Fichtner --
Thinking and Knowing about knowledge : A Plea for and Critical Remarks on Psychological Research Programs on Epistemological Beliefs / Rainer Bromme --
The Cognitive Unconscious : Recalling the History of the Concept and the Problem / Thomas Mies --
E. History of Mathematics and Mathematics Education --
Hilbert, Weyl, and the Philosophy of Mathematics / Hans Niels Jahnke --
Mathematical Metaphors in Natorp's Neo-Kantian Epistemology and Philosophy of Science / Thomas Mormann --
Newton's Program of Mathematizing Nature / Karl-Norbert Ihmig --
Did Hermann and Robert Grassmann Contribute to the Emergence of a Formal Axiomatics? / Mircea Radu --
A Case Study in Generalization : The Notion of Multiphcation / Gert Schubring --
Some German Contributions to Mathematics Research in Brazil / Circe Mary Silva da Silva Dynnikov --
F. Making Philosophy of Mathematics Relevant --
ata Structures and Virtual Worlds : On the Inventiveness of Mathematics / Andreas Dress --
Variables, in Particular Random Variables / Hermann Dinges --
Deduction, Perception and Modeling : The Two Peirces on the Essence of Mathematics / Johannes Lenhard --
Models of Data, Theoretical Models and Ontology : A Structuralist Perspective / C. Ulises Moulines --
Some Sober Conceptions of Mathematical Truth / Marco Panza --
Can There Be an Alternative Mathematics, Really? / Jean Paul van Bendegem --
G. Coda --
An Interview with Michael Otte / Roland Fischer.
Responsibility: Michael H.G. Hoffmann, Johannes Lenhard, Falk Seeger (editors).
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Abstract:

Celebrates the merits of Michael Otte as one of the most important founding fathers of mathematics education. This book provides different sources of knowledge based on Otte's insight that  Read more...

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