CONSTRUCTING KNOWLEDGE ABOUT THE NOTION OF LIMIT IN THE DEFINITION OF THE HORIZONTAL ASYMPTOTE |
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| Authors: | Ivy Kidron |
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| Institution: | (1) Department of Applied Mathematics, Jerusalem College of Technology, Havaad Haleumi Str. 21, POB 16031, Jerusalem, 91160, Israel;(2) Department of Mathematics Science and Technology Education, Tel Aviv University, Tel Aviv, Israel |
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| Abstract: | Processes of knowledge construction are investigated. A learner is constructing knowledge about the notion of limit in the
definition of the horizontal asymptote. The analysis is based on the dynamically nested epistemic action model for abstraction
in context. Different tasks are offered to the learner. In her effort to perform the different tasks, the learner encounters
a situation of conflict between her concept image of the horizontal asymptote and the concept definition. The model of abstraction
in context is used to analyze two new constructions of knowledge for the learner, which permit her to reconsider her concept
image and to conceptually understand the definition of the horizontal asymptote. |
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