ERIC Number: ED389565
Record Type: RIE
Publication Date: 1995-Oct
Reference Count: N/A
Graph, Equation and Unique Correspondence: Three Models of Students' Thinking about Functions in a Technology-Enhanced Precalculus Class.
Martinez-Cruz, Armando M.
This paper documents how eight high school students in a precalculus class enhanced with graphing calculators think about functions. Three models of thinking about functions emerged from students' function images observed over a period of 9 months. In the graph model, students believed that functions are essentially graphs; in the equation model, they believed that functions are relationships between x and y expressed by equations; and in the unique correspondence model, they took "one output for every input" as the definition of a function. The vertical line test served as a link across all of the models. (SW)
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: N/A
Authoring Institution: N/A
Note: Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (17th, Columbus, OH, October 21-24, 1995). For entire conference proceedings, see SE 057 177.