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The Slippery Road From Actions on Objects to Functions and Variables

Tamar Paz; Uri Leron 

January 2009, Volume 40, Issue 1, Page 18

Abstract:
Functions are all around us, disguised as actions on concrete objects. Our data show that the intuitions about change and invariance entailed by the action-on-objects scheme, although helpful in earlier stages of learning functions, may later come to clash with the formal concepts of function and of composition of functions.

Keywords:
Linking Research and Practice
Curriculum Developer
Conceptual Development
Connections / Applications
Higher Education
Grades 9-12
Higher Education
Teacher
Technology