Using Possibilities to Compare the Intelligence of
Student Groups in the van Hiele Level Theory
Steve C. Perdikaris, Ph.D.
Abstract
The intelligence of student groups is a topic of importance in mathematics
education. The purpose of this work is to compare the intelligence of student
groups in the van Hiele level theory of geometric thinking. The sample consists
of 50 students in groups A, B and C with 20, 21 and 9 students respectively. All
students have the same mathematical background. Since the ambiguity
(aggregate possibilistic uncertainty) of student groups can be seen as the student
group intelligence a measure of ambiguity is used to compare the student group
intelligence in a geometric task. This work provides support for the strong effect
of student group intelligence on student group performance which tends to
diminish with diminishing intelligence.
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