Measuring the Student Group Capacity for Obtaining Geometric Information in the van Hiele Developmental Thought Process：A Fuzzy Approach

1　 IntroductionThe van Hiele level theory of geometric reasoning1,5,9] describes the ways of studentreasoning inEuclidean geometry.The ontogeny of thiscognitive activity of mental developmentis characterised byfive hierarchical and qualitatively differe…

Measuring the Student Group Capacity for Obtaining Geometric Information in the van Hiele Developmental Thought Process:A Fuzzy Approach

The student group possibilistic uncertainty in the van Hiele process of geometric reasoning is considered as the student group capacity for obtaining geometric information.Hence,the student group capacity for obtaining geometric information can be measured by the total possibilistic uncertainty T(r)of an orderd possibility distribution.The capacities of three student groups are found by calculating the total possibilistic uncertainties of these groups.These capacity values set an expectation of future group peformance.Future research indications of how the total possibilistic uncertainty may be applied to other models of learning and develppment will help to establish it as a viable measure in educational psychology.