Development of assessment tests and instructional methods based on mathematical components.

COMPASS是一种基于数学问题解决认知模型的评估测试。该测试诊断理解和解决数学问题过程中所需的数学能力的组成部分。一般来说，日本学生擅长数学的基础知识和技能。然而，COMPASS的结果表明，许多学生在理解基本概念，利用图表，解决基本的文本问题，并找到有效的方法在计算方面存在严重的困难。我们开发了基于组件的学习方法改进类。

COMPASS is an assessment test based on the cognitive model of mathematical problem solving. This test diagnoses components of mathematical ability which are required in the process of understanding and solving mathematical problems. In general, Japanese students are good at the fundamental knowledge and skills in mathematics. However, the results of COMPASS showed that many students had serious difficualties in understanding fundamental concepts, utilizing figures and tables, solving basic text problems, and finding efficient ways in calculation. We have developed classes for improving learning methods based on components.