Diagrammatic thinking: Ajfordances and constraints

Activity and Sign: Grounding Mathematics Education

Volumn , Issue , 2005, Pages 57-66

  Dörfler, Willibald ^a  

^a UNIVERSITY OF KLAGENFURT   (Austria)

Author keywords

actual and potential infinite; diagram; diagrammatic reasoning; mathematical existence; representation; visualization

Indexed keywords

EID: 34248993259     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/0-387-24270-8_6     Document Type: Chapter

References (9)

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2. Dörfler, W. (2002). Formation of Mathematical Objects as Decision Making. Mathematical Thinking and Learning 4.4, 337-350.
3. Dörfler, W. (2003). Diagrams as Means and Objects of Mathematical Reasoning. To appear in: Developments in Mathematics Education in German-speaking Countries. Selected Papers from the Annual Conference on Didactics of Mathematics.
4. Hoffmann, M. H. G. (2002). Erkenntnisentwicklung. Ein semiotisch-pragmatischer Ansatz. Dresden: Habilitationsschrift.
5. Klaua, D. (1979). Mengenlehre. Berlin-New York: Walter de Gruyter.
6. Otte, M. (1997a). Analysis und Synthesis in Mathematics from the Perspective of Charles S. Peirce's Philosophy. In M. Otte & M. Panza (Eds.), Analysis and Synthesis in Mathematics. History and Philosophy. (Boston Studies in the Philosophy of Science 196. Dordrecht, Boston, London: Kluwer, 327-364.
7. Otte, M. (1997b). Mathematik und Verallgemeinerung-Peirce' semiotisch-pragmatische Sicht. Philoso-phia naturalis 34, 175-222.
8. Otte, M. (1998). Limits of Constructivism: Kant, Piaget and Peirce. Science Education, 7, 425-450.
9. Peirce, Ch. S. (1931-1958). Collected Papers I-VIII. Cambridge, MA: Harvard University Press.