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ERIC Number: ED489647
Record Type: Non-Journal
Publication Date: 2004-Jul
Pages: 8
Abstractor: Author
Molly and Equations in A[2]: A Case Study of Apprehending Structure
Simpson, Adrian; Stehlikova, Nada
International Group for the Psychology of Mathematics Education, 28th, Bergen, Norway, July 14-18, 2004
This paper explores one student's attempt to apprehend an abstract mathematical structure (similar to Z[99]). We discuss Karmiloff-Smith's theory of representational redescription as a model for the development of structural understanding and contrast this with existing process-object theories. We use two cycles in Molly's movement from an action conception of the teacher-given aspects of the structure, inherent in the definition, to her conscious and expressible personal ownership of aspects of the structure, to explore how the model helps us account for structural understanding. (Contains 4 figures.) [For complete proceedings, see ED489597.]
International Group for the Psychology of Mathematics Education, 35 Aandwind Street, Kirstenhof, Cape Town, 7945, South Africa. Web site:
Publication Type: Reports - Evaluative; Speeches/Meeting Papers
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A