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Van Hiele levels applied to solving combinatorial reasoning problems

Hof, F. and Dupont, S. and Eijmaal-Kroonbergs, F. (2015) Van Hiele levels applied to solving combinatorial reasoning problems.

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Abstract:Building on prior research, we redefine the Van Hiele levels to be applied to combinatorial counting problems. Combinatorial counting is a difficult subject for both teacher and student and the current curriculum does not seem to help students develop a relational network of knowledge. After defining the levels for combinatorics, we collect data to examine the accuracy of the definition, to examine whether these levels occur in the solution process when students are solving combinatorial counting problems, and to study the effects of the variation of these levels on the solution strategies students use. Analysis of the data showed students have difficulties transitioning from a lower level to a higher level. Qualitative analysis of students’ solutions to combinatorial problems revealed the preference of the use of formulas for some students, while at the same time other students showed more insight by their systematic approach of the problems.
Item Type:Essay (Master)
Faculty:BMS: Behavioural, Management and Social Sciences
Subject:81 education, teaching
Programme:Science Education and Communication MSc (60708)
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