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。因此，我们考察了小学“有意义的数学活动”，并制作了系统的小学几何教育教材。实际上，我们在借鉴前人研究成果的基础上，制作了一些教材。此外，我们还对300名公立小学的儿童进行了调查，并通过为他们做一个用语言表达的问题的调查，考察了儿童对“证据”的认知情况。此外，我们还通过为儿童画一个立方体的调查，考察了儿童对“变形”的认知。然后，我们为每个阶段制作了“证明”和“转化”的教材，包括“有意义的数学活动”。我们通过教学实践等对部分内容进行了验证，取得了积极的结果，内容对儿童是有效的。

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.