Activity and Sign
Springer-Verlag New York Inc.
978-1-4419-3711-7 (ISBN)
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 disciplines.
Grounding Mathematics Education.- Sign Processes.- Agency and Creativity in the Semiotics of Learning Mathematics.- The Semiotic Approach to Mathematical Evidence and Generalization.- Signs as Means for Discoveries.- Diagrammatic Thinking.- Notes on a Semiotically Inspired Theory of Teaching and Learning.- Mathematics, Sign and Activity.- Sign Processes in the Mathematics Classroom.- Semiotic Mediation in the Primary School.- Do Mathematical Symbols Serve to Describe or Construct “Reality”?.- Metaphor and Metonymy in Processes of Semiosis in Mathematics Education.- On Practical and Theoretical Thinking and Other False Dichotomies in Mathematics Education.- The Semiotics of the Schema.- Mathematics Education as a Science.- Towards a Normal Science of Mathematics Education?.- The Study of the Didactical Conditions of School Learning in Mathematics.- The Formal, The Social and the Subjective.- Crossing Boundaries.- Reflective Learning.- Thinking and Knowing About Knowledge.- The Cognitive Unconscious.- History of Mathematics and Mathematics Education.- Hilbert, Weyl, and the Philosophy of Mathematics.- Mathematical Metaphors in Natorp’s Neo-Kantian Epistemology and Philosophy of Science.- Newton’s Program of Mathematizing Nature.- Did Hermann and Robert Graßmann Contribute to the Emergence of Formal Axiomatics?.- A Case Study in Generalisation.- Some German Contributions to Mathematics Research in Brazil.- Making Philosophy of Mathematics Relevant.- Data Structures and Virtual Worlds.- Variables, in Particular Random Variables.- Deduction, Perception, and Modeling.- Models of Data, Theoretical Models, and Ontology.- Some Sober Conceptions of Mathematical Truth.- Can There Be an Alternative Mathematics, Really?.- Coda.- An Interview with Michael Otte.
Erscheint lt. Verlag | 29.10.2010 |
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Zusatzinfo | VIII, 392 p. |
Verlagsort | New York, NY |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Geisteswissenschaften ► Philosophie |
Mathematik / Informatik ► Mathematik | |
Naturwissenschaften | |
Sozialwissenschaften ► Pädagogik ► Erwachsenenbildung | |
Sozialwissenschaften ► Pädagogik ► Schulpädagogik / Grundschule | |
ISBN-10 | 1-4419-3711-0 / 1441937110 |
ISBN-13 | 978-1-4419-3711-7 / 9781441937117 |
Zustand | Neuware |
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