Development of Materials for Mathematical Activities in Cooperation between University and High school , and Teacher Education

最近，数学活动的重要性一直在增加。我们开始开发大学与高中合作的数学活动教材，从数学教育和数学两个方面对高中数学中的数学活动进行研究。作为数学活动的内容，强调功能价值的应用性数学逐渐被重视起来。然而，我们提出了“结构导向的数学活动”，它可以诱导学习者的主动和动态考虑，学习者可以为自己而不是为其功能价值而重视内容和考虑。在本研究中，我们提出了这种数学活动的模型，这也是真实数学家研究活动的一个缩影。我们还开发了这些活动的材料实例，并在实践中验证了其效果和意义。

Recently, the importance of mathematical-activities has been increasing. We started to develop the materials for mathematical-activities in cooperations between an universities and a high-school, and we studied on mathematical-activities in high school mathematics from both side of Mathematical educations and Mathematics.As the contents of mathematical-activities, the application-oriented mathematics, in which the functional value is emphasized, tends to be taken up. However, we propose the "structure-oriented mathematical-activity" that can induce the learner's proactive and dynamic considerations, and in which, the learner can value the contents and the considerations for themselves, not for their functional values.In this study, we propose the model of such mathematical-activities, which is also a miniature of the researching activities of real mathematicians. Also we develop examples of materials for such activities and verify its effects and meanings in practices.