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ERIC Number: ED489558
Record Type: Non-Journal
Publication Date: 2004-Jul
Pages: 8
Abstractor: Author
Perceptual and Symbolic Representations as a Starting Point of the Acquisition of the Derivative
Hahkioniemi, Markus
International Group for the Psychology of Mathematics Education, 28th, Bergen, Norway, July 14-18, 2004
In this paper we study how a student begins to acquire the concept of the derivative, what kind of representations he acquires and how he connects these representations. A teaching period, in which different perceptual and symbolic representation were emphasized, was carried out and task based interviews conducted to five students. The students used several different kinds of representations to process the derivative. They were all able to consider the derivative as an object by using perceptual representations at an early stage of the acquisition process. Also they all could calculate the derivative at a point by using symbolic representations. They all formed perceptual representations of the limiting process of the difference quotient but they would still need guidance to connect them to symbolic representations. [For complete proceedings, see ED489538.]
International Group for the Psychology of Mathematics Education, 35 Aandwind Street, Kirstenhof, Cape Town, 7945, South Africa. Web site:
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A