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本研究では，数学科教育において数学教科の特性を踏まえたICT の効果的な活用に向け，帰納的推論過程に着目し，その有効性について考察する。基本的な概念を整理するために，数学の視点から，数学的帰納法に関する定理を述べ，数学教育の視点から，帰納的推論に関連する推論過程についての基礎理論を概観する。そのうえで，コンピュータの扱う数値に関する特性についてまとめる。これらの議論により，帰納的推論過程の場面でICT を活用し，それを証明する一連の活動において，数学の特性を踏まえた効果的なICT 活用を授業で実現できうることを摘する。最後に，授業として展開するうえでの基本的な流れを示し，題材例を提示する。このことにより，数学教師がICT を活用する教材研究や教材開発を行う際に，その基礎となる考え方の一例を提示する。

This study aimed to clarify the implementation of online classes and the evaluation and perception of their instructions through a questionnaire survey. The results indicate that online classes are conducted in high schools and are highly evaluated, but burdens and difficulties are not perceived as such. Rather, relationships with fellow teachers at school were perceived as a burden. Through this, the paper addresses issues in information and communications technology (ICT) education. After the impact of COVID-19 subsides, ICT education is expected to become increasingly popular in Japanese educational settings and schools. At this time, if we do not focus on improving the work environment for teachers, rather than on rapid changes in the educational environment, the burden on teachers will become heavier.

This paper presents the concept of a new curriculum for the course in charge of learning and teaching development, including ICT teaching practice, at Naruto University of Education, based on the philosophy of the previous courses. The basis for the new curriculum design is the direction of online education in Japan, the proposal of the direction of using ICT not only as teaching tools but also as learning materials, and the reconfirmation ofʻ the light and shade' of ICT teaching materials.