Argumentation and proof in school mathematics
Task design in mathematics education
Use of technology in mathematics education

• Stylianides, A. J., Komatsu, K., Weber, K., & Stylianides, G. J. (2022). Teaching and learning authentic mathematics: The case of proving. In M. Danesi (Ed.), Handbook of cognitive mathematics (pp. 727–761). Springer.
• Komatsu, K., & Jones, K. (2022). Generating mathematical knowledge in the classroom through proof, refutation, and abductive reasoning. Educational Studies in Mathematics, 109(3), 567–591.
• Komatsu, K., & Jones, K. (2019). Task design principles for heuristic refutation in dynamic geometry environments. International Journal of Science and Mathematics Education, 17(4), 801–824.
• Komatsu, K. (2017). Fostering empirical examination after proof construction in secondary school geometry. Educational Studies in Mathematics, 96(2), 129–144.
• Komatsu, K., Jones, K., Ikeda, T., & Narazaki, A. (2017). Proof validation and modification in secondary school geometry. Journal of Mathematical Behavior, 47, 1–15.
• Komatsu, K. (2016). A framework for proofs and refutations in school mathematics: Increasing content by deductive guessing. Educational Studies in Mathematics, 92(2), 147–162.

Japan Society of Mathematical Education
Japan Society for Science Education
International Group for the Psychology of Mathematics Education
European Society for Research in Mathematics Education