Justification enlightenment and combining constructions of knowledge |
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Authors: | Ivy Kidron Tommy Dreyfus |
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Affiliation: | (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: | This case study deals with a solitary learner’s process of mathematical justification during her investigation of bifurcation points in dynamic systems. Her motivation to justify the bifurcation points drove the learning process. Methodologically, our analysis used the nested epistemic actions model for abstraction in context. In previous work, we have shown that the learner’s attempts at justification gave rise to several processes of knowledge construction, which develop in parallel and interact. In this paper, we analyze the interaction pattern of combining constructions and show that combining constructions indicate an enlightenment of the learner. This adds an analytic dimension to the nested epistemic actions model of abstraction in context. |
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