Academic Assembly School of Humanities and Social Sciences Institute of Education

Faculty of Education Mathematics Education 



  • Doctor of Education, University of Tsukuba

Research Keyword

    Education, Mathematics

Field Of Study

  • Education, Education
  • Science education, Mathematics education
  • Science education, Science education



Mail Address



  • 2008
    Professor, Faculty of Education, Shinshu University
  • 2007 - 2008
    Associate Professor, Faculty of Education, Shinshu University
  • 1996 - 2007
    Assistant Professor, Faculty of Education, Shinshu University
  • 1994 - 1996
    Assistant, Institute of Education, University of Tsukuba
  • 1992 - 1994
    Research Fellows, Japan Society for the Promotion of Science

Educational Background

  • 1994, University of Tsukuba, Graduate School, Division of Education
  • 1983, University of Tsukuba, First Cluster of College


  • Relationship between teachers’ assessments of non-cognitive skills and cognitive skills in junior high school mathematics
    Miyazaki, M., Yoshikawa, A., & Fujita, T.
    Asian Journal for Mathematics Education, 2024
    Lead, Corresponding電子ジャーナル
  • Level-spanning proof-production strategies to enhance students’ understanding of the proof structure in school mathematics
    Mikio Miyazaki, Taro Fujita, Koji Iwata & Keith Jones
    International Journal of Mathematical Education in Science and Technology, 2022, Refereed
    Lead, Corresponding電子ジャーナル
  • Japanese teachers’ mental readiness for online teaching of mathematics following unexpected school closures
    Taro Fujita, Hiroyuki Nakagawa, Hiroyuki Sasa, Satoshi Enomoto, Mitsunori Yatsuka & Mikio Miyazaki
    International Journal of Mathematical Education in Science and Technology, 2021電子ジャーナル
  • The role of “opportunity to learn” in the geometry curriculum: A multilevel comparison of six countries
    Bokhove, C., Miyazaki, M., Komatsu, K., Chino, K., Leung, A., & Mok, I. A. C.
    Frontiers in Education, 4(63), 03 Jul. 2019, Refereed電子ジャーナル
  • Curriculum Development for Explorative Proving in Lower Secondary School Geometry: Focusing on the Levels of Planning and Constructing a Proof
    Miyazaki, M., Nagata, J., Chino, K., Sasa, H., Fujita, T., Komatsu, K., & Shimizu, S.
    Frontiers in Education, 4(31), 07 Apr. 2019, Refereed電子ジャーナル
  • Learners’ use of domain-specific computer-based feedback to overcome logical circularity in deductive proving in geometry
    Fujita, T., Jones, K., & Miyazaki, M.
    ZDM, 50(4), 699-713, 05 Jun. 2018, Refereed電子ジャーナル
  • Students’ understanding of the structure of deductive proof
    Mikio Miyazaki & Taro Fujita & Keith Jones
    Educational Studies in Mathematics, 94(2), 223-239, 16 Sep. 2016, Refereed電子ジャーナル
  • Flow-chart proofs with open problems as scaffolds for learning about geometrical proofs
    Miyazaki, M., Fujita, T. and Jones, K.
    ZDM, 47(4), 1-14, 01 Oct. 2015, Refereed電子ジャーナル
  • Functions of Open Flow-chart Proving in introductory lessons of formal proving
    Miyazaki, M., Fujita, T., and Jones, K.
    In Liljedahl, P., Oesterle, S., Nicol, C.,&Allan, D. (Eds.) Proceedings of the Joint Meeting of PME 38 and PME-NA 36, 4, 225-232, 2014リポジトリ
  • Potentials for Spatial Geometry Curriculum Development with Three-Dimensional Dynamic Geometry Software in Lower Secondary Mathematics
    Miyazaki, M., Kimiho, C., Katoh, R., Arai, H., Ogihara, F., Oguchi, Y., Morozumi, T., Kon,M., and Komatsu, K.
    The International Journal for Technology in Mathematics Education, 19(2), 73-79, 04 Jul. 2012
  • Introducing the structure of proof in lower secondary school geometry: a learning progression based on flow-chart proving
    Miyazaki, Mikio; Fujita, Taro; Jones, Keith
    Proceedings of the 12th International Congress on Mathematical Education (ICME-12), 2012リポジトリ
  • Supporting students to overcome circular arguments in secondary school mathematics: the use of the flowchart proof learning platform
    Fujita, T., Jones, K. and Miyazaki, M.
    Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education, 2, 353-360, 09 Jul. 2011リポジトリ
  • An assessment framework for students’ abilities/competencies in proving
    Chino, K., Fujita, T., Komatsu, K., Makino, T., Miyakawa, T., Miyazaki, M., Mizutani, N., Nakagawa, H., Otsuka, S.&Tsujiyama, Y.
    The 5th East Asia Regional Conference on Mathematics Education (EARCOME5). Tokyo: National Olympics Memorial Youth Center., 2, 416-423, 22 Aug. 2010
  • Teaching and Learning a proof as an object in lower secondary school mathematics of Japan
    Miyazaki, M.&Yumoto
    In Lin, F. L., Hsieh, F. J., Hanna, G.,&de Villiers, M. (Eds.), Proceedings of the ICMI Study 19 Conference: Proof and Proving in Mathematics Education, 2, 76-81, 2009
  • Levels of proof in lower secondary school mathematics: As steps from an inductive proof to an algebraic demonstration.
    Mikio Miyazaki
    Educational Studiesin Mathematics, 41(1), 47-68, 01 Apr. 2000電子ジャーナル

Books and other publications

  • Hanna, G., Reid, D., de Villiers, M. (Eds.). (2019). Proof Technology in Mathematics Research and Teaching
    Miyazaki, M., Fujita, T., Jones, K., Joint work, Web-Based Task Design Supporting Students’ Construction of Alternative Proofs. In: Hanna G., Reid D., de Villiers M. (eds) Proof Technology in Mathematics Research and Teaching. Mathematics Education in the Digital Era,
    Springer, 291 – 312 01 Oct. 2019, Refereed
  • Proving as an explorative activity in mathematics education: new trends in Japanese research into proof, In Sriraman, B. (Eds.), First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India
    Miyazaki, M. and Fujita, T.
    Information Age Publishing, 1375 – 1407 01 Oct. 2015

Lectures, oral presentations, etc.

  • Assessment of Non-Cognitive Skills Specific to Contents and Activities of School Subjects: Focusing on ‘mathematical proof’ in school mathematics of junior high school level,
    Mikio Miyazaki, Hiroyuki Nakagawa, Atsushi Yoshikawa, Kimiho Chino, Takeshi Miyakawa, Taro Fujita, Shizumi Shimizu
    06 Aug. 2019, The World Education Research Association
    Mikio Miyazaki, Taro Fujita, & Keith Jones
    17 Jul. 2019, the Third International Conference on Mathematics Textbook Research and Development
    Miyazaki, M., Nakagawa, H., Chino, K., Iwata, K., Komatsu, K., Fujita, T.
  • Identifying Local Proof ‘Modules’ during Proving
    Miyazaki, M, Fujita, T, Jones, K. and Ichikawa, D.
    the 41th Conference of the International Group for the Psychology of Mathematics Education (2017/7/17-22, National Institute of Education, Singapore), 19 Jul. 2017
  • Aspects of scaffolding in a web-based learning system for congruency-based proofs in geometry,
    Keith Jones, Mikio Miyazaki and Taro Fujita
    12th International Conference on Technology in Mathematics Teaching, University of Algarve, Faculty of Sciences and Technology 2015/6/24-27, 25 Jun. 2015
  • Learning congruency-based proofs in geometry via a web-based learning system
    Keith Jones, Taro Fujita and Mikio Miyazaki
    Proceedings of the British Society for Research into Learning Mathematics 33 2, Mar. 2013

Affiliated academic society

  • International Group for the Psychology of Mathematics Education
  • Japan Society of Mathematical Education

Research Themes

  • Developing a group thinking measure test (GTM) for iPad
    共同研究, Daiwa Foundation
    01 Sep. 2017 - 31 Aug. 2018
  • Using technology for comparing and strengthening geometry teaching in England, Japan and Hong Kong (British Academy)
    01 Sep. 2014 - 31 Aug. 2017
  • Group thinking measures and collaborative learning in mathematics in the UK and Japan
    01 Sep. 2014 - 31 Aug. 2015
  • Development of Curriculum, Teaching and Evaluation for Learning of Proving in Lower Secondary Mathematics
    Grant-in-Aid for Scientific Research
    2010 - 2020
  • Development of Learning support systems with technology
    Grant-in-Aid for Scientific Research
    2008 - 2020
  • Assessment of non-cognitive skills specific to subjects

Academic Contribution Activities

  • Peer review
    International Journal for Technology in Mathematics Education, 2010

Available resources (prototypes, experimental materials, data, etc.)

  • フローチャート証明学習コンテンツ(http://www.schoolmath.jp/flowchart/login/index.php), Let's Flowchart Thinking for the learning of proving (http://www.schoolmath.jp/flowchart/login/index_e.php)