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ERIC Number: EJ796799
Record Type: Journal
Publication Date: 2007
Pages: 19
Abstractor: Author
Reference Count: 0
ISBN: N/A
ISSN: ISSN-0732-3123
The Function of Graphs and Gestures in Algorithmatization
Marrongelle, Karen
Journal of Mathematical Behavior, v26 n3 p211-229 2007
The purpose of this paper is to present evidence supporting the conjecture that graphs and gestures may function in different capacities depending on whether they are used to develop an algorithm or whether they extend or apply a previously developed algorithm in a new context. I illustrate these ideas using an example from undergraduate differential equations in which students move through a sequence of Realistic Mathematics Education (RME)-inspired instructional materials to create the Euler method algorithm for approximating solutions to differential equations. The function of graphs and gestures in the creation and subsequent use of the Euler method algorithm is explored. If students' primary goal was algorithmatizing "from scratch", they used imagery of graphing and gesturing as a tool for reasoning. However if students' primary goal was to make predictions in a new context, they used their previously developed Euler algorithm to reason and used graphs and gestures to clarify their ideas.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A