Abstract
Formerly using an LP matrix expression showed that we could clarify the learning situation of function concept in the instruction to the total class (H. Sakata and T. Matsumoto, 1984) based on this, we had a diagnosis to the error recognition and used an LP matrix expression to estimate the result of our cure by "a careful instruction to the total class" and "individual learning". From such cure, our study tries to find how the learning process pupil varies.