In earlier research the writer was constrained by the variables which were continuously appearing in both experimental class teaching experiences and various psychological experiments to distinguish four levels of cognitive sophistication in so far as mathematical material was concerned between the ages of 7 years and 17 years. In current research…

Assessments of (n=16) year 9 and 10 advanced mathematics students while they solved mathematics problems indicated that the nature of the problem was a basic factor in determining the type of solution strategy used. Strategies were broadly classified into Ikonic or Concrete Symbolic categories. (31 references) (MKR)

Two phenomena related to the quality of student responses in regard to items used in a testing situation are involved in the construction of a pupil response model. The underlying phenomenon which defines the individual's cognitive limits is termed the hypothetical cognitive structure (HCS). The second phenomenon, which is a function of not only…