Fuzzy Models for Teaching Assessment

The concept of teaching is the fundamental study of student’s cognitive action. In this paper a Trapezoidal Fuzzy Assessment model (TFAM) is developed for teaching assessment. The TFAM is a new variation of a special form, which is used in Fuzzy mathematics centre of gravity(COG) defuzzification technique. The TFAM’s new idea is the replacement of the rectangles appearing in the graph of the COG method by isosceles trapezoids sharing common parts, thus covering the ambiguous cases of teachers’ scores being at the limits between two successive grades (e.g between A and B). A classroom application is also presented in which the outcomes of the COG and TFAM methods are compared with those of other traditional assessment methods (calculation of means and GPA index) and explanations are provided for the differences appeared among these outcomes .