A Practical Study on the Development of Teaching Materials of Meaningful "Mathematical Activity" for Geometry Education in Elementary School.

本研究的目的是为小学几何教育开发有意义的“数学活动”教材。为此，我们对小学“有意义的数学活动”进行了考察，并编制了系统的小学几何教育教材。实际上，我们根据前人的研究成果制作了一些教材。此外，我们对300名公立小学儿童进行了调查，通过为他们制作一个用语言表达的问题的调查来调查儿童对“证明”的认知。此外，我们还通过绘制立方体的调查来调查儿童对“转化”的认知。然后，我们制作了“证明”和“转化”的教材，包括每个阶段的“有意义的数学活动”。通过教学实践等，对其中的部分内容进行了验证。结果，我们取得了一个积极的结果，内容是有效的儿童。

The purpose of the study is to develop the teaching material of meaningful "mathematical activity" for geometry education in elementary school. So, we examined the "meaningful mathematical activity" in elementary school, and we made systematic teaching materials of geometry education in elementary school. Actually, we made some teaching materials based on the result of previous studies. Moreover, we investigated 300 children in public elementary school, and we investigated the children's cognition for "proof" by investigations of making a problem expressed in words for them. In addition, we investigated the children's cognition for "transformation" by investigations of drawing a cube for them. Then, we made teaching materials of "proof" and "transformation" including "meaningful mathematical activity" for each stage. We verified a part of them by teaching practice etc. As the result, we achieved a positive result that the contents were validity for children.