Activity and Sign Grounding Mathematics Education /

The advancement of a scientific discipline depends not only on the "big heroes" of a discipline, but also on a community's ability to reflect on what has been done in the past and what should be done in the future. This volume combines perspectives on both. It celebrates the merits of...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Hoffmann, Michael H.G (Editor ), Lenhard, Johannes (Editor ), Seeger, Falk (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer US : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Temas:
Mathematics-Study and teaching .
Philosophy.
Science-History.
Mathematics Education.
History of Science.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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