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Veranschaulichung der Lehrstoffstruktur durch Galois-Graphen
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2007-06-01
https://doi.org/10.5485/TMCS.2007.0107
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Copyright (c) 2007 László Fatalin
This work is licensed under a Creative Commons Attribution 4.0 International License.
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László. (2007). Veranschaulichung der Lehrstoffstruktur durch Galois-Graphen. Teaching Mathematics and Computer Science, 5(1), 217-229. https://doi.org/10.5485/TMCS.2007.0107
Abstract
In this article we compare the process diagram with the Galois-graph, the two hierarchical descriptions of the curriculum's construction from the point of didactics. We present the concrete example through the structure of convex quadrangles. As a result of the analysis it is proved that the process diagram is suitable for describing the activity of pupils, still the Galois-graph is the adequate model of the net of knowledge. The analysis also points out that in teaching of convex quadrangles the constructions of curriculum based only on property of symmetry and only on metrical property are coherent. Generalizing concept is prosperous if the pupils' existing net of knowledge lives on, at most it is amplified and completed. Teaching of convex quadrangles in Hungarian education adopts this principle.