Instruction Structure Analysis of High School Mathematics Applying Fuzzy Clustering

抄録

Applying fuzzy clustering method to the instruction structure analysis, we investigate whether the order of teaching items is suitable or not. But, it is difficult to find a better teaching order because there are a lot of questions in each unit. In this paper, the authors newly define cluster connectivity degree and present an analysis method among clusters. We show some matrices and graphs required for analysis based on the results of midterm examination for high school students about conic curve (parabola, ellipse and hyperbola) and indicate a reasonable teaching order of the conic curve better than a usual textbook order.