Interacting Parallel Constructions of Knowledge in a CAS Context |
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| Authors: | Ivy Kidron and Tommy Dreyfus |
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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: | We consider the influence of a CAS context on a learner’s process of constructing a justification for the bifurcations in
a logistic dynamical process. We describe how instrumentation led to cognitive constructions and how the roles of the learner
and the CAS intertwine, especially close to the branching and combining of constructing actions. The CAS has a major influence
on parallel constructions after branching and it facilitates combining. Hence, the CAS has the upper hand near branching points
but the learner has the upper hand near combining points. |
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