An empirical study about the effectiveness of the teaching materials for encouraging the students' abilities of expression of connecting the change in the phenomenon with graph

本研究的目的是阐明教材在鼓励学生将现象的变化与图形相联系的表达能力方面的有效性。在研究期间，我们开发了协作远程学习系统，用于相互提出关于步行和图形动作的问题。此外，我们建立了学生在数学活动中表达能力的评价依据，并对在初中开展的一个示范课进行了分析。评估课程的结果是，很明显，研究的目的已经达到了。

The purpose of this study is to clarify the effectiveness of the teaching materials for encouraging the students' abilities of expression of connecting the change in the phenomenon with graph. Within the research period, we developed the cooperative distance learning system for posing problems to each other about movements of walking and graphs. Furthermore, we established the valuation basis of the students' abilities of expression in their mathematical activities, and analyzed a demonstration class carried out in the junior high school. As a result of evaluating the lesson, it became clear that the research’s purpose has been achieved.