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Academic OrganizationAcademic Assembly School of Humanities and Social Sciences Institute of EducationTEL+81-26-238-4105
Education and Research OrganizationFaculty of Education Mathematics EducationFAX
AddressFaculty of Education Roku-Ro Nishinagano Nagano-ShiWeb site



Research Field
Mathematics Education
Science education
Keywords:Education , Mathematics
Current Subject
Assessment of non-cognitive skills specific to subjects
Keywords:non-cognitive skills
Development of Curriculum, Teaching and Evaluation for Learning of Proving in Lower Secondary Mathematics
Keywords:Proving , Curriculum , Teaching , Evaluation , Lower Secondary Mathematics , 2010-2020
Development of Learning support systems with technology
Keywords:Technology , Learning support , 2008-2020
Academic Societies
Academic Societies
International Group for the Psychology of Mathematics Education
Japan Society of Mathematical Education
Japan Society for Science Education
Academic Background
Graduate School
University of Tsukuba , (Graduate School, Division of Education) , 1994

University of Tsukuba , (First Cluster of College) , 1983

Doctor of Education , University of Tsukuba
Research Career
Research Career
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


Books, Articles, etc.
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,, Hanna, G., Reid, D., de Villiers, M. (Eds.). (2019). Proof Technology in Mathematics Research and Teaching , 291 – 312
Springer 2019(Oct. 01)
Author:Miyazaki, M., Fujita, T., Jones, K.

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, 1375 – 1407
Information Age Publishing 2015(Oct. 01)
Author:Miyazaki, M. and Fujita, T.

Level-spanning proof-production strategies to enhance students’ understanding of the proof structure in school mathematics
International Journal of Mathematical Education in Science and Technology 2022
Author:Mikio Miyazaki, Taro Fujita, Koji Iwata & Keith Jones

Japanese teachers’ mental readiness for online teaching of mathematics following unexpected school closures
International Journal of Mathematical Education in Science and Technology 2021
Author:Taro Fujita, Hiroyuki Nakagawa, Hiroyuki Sasa, Satoshi Enomoto, Mitsunori Yatsuka & Mikio Miyazaki

The Role of “Opportunity to Learn” in the Geometry Curriculum: A Multilevel Comparison of Six Countries
Frontiers in Education,4(63) 2019(Jul. 03)
Author:Bokhove, C., Miyazaki, M., Komatsu, K., Chino, K., Leung, A., & Mok, I. A. C.

Curriculum Development for Explorative Proving in Lower Secondary School Geometry: Focusing on the Levels of Planning and Constructing a Proof
Frontiers in Education,4(31) 2019(Apr. 07)
Author:Miyazaki, M., Nagata, J., Chino, K., Sasa, H., Fujita, T., Komatsu, K., & Shimizu, S.

Learners’ use of domain-specific computer-based feedback to overcome logical circularity in deductive proving in geometry
ZDM,50(4):699-713 2018(Jun. 05)
Author:Fujita, T., Jones, K., & Miyazaki, M.

Students’ understanding of the structure of deductive proof
Educational Studies in Mathematics,94(2):223-239 2016(Sep. 16)
Author:Mikio Miyazaki & Taro Fujita & Keith Jones

Flow-chart proofs with open problems as scaffolds for learning about geometrical proofs
ZDM,47(4):1-14 2015(Oct. 01)
Author:Miyazaki, M., Fujita, T. and Jones, K.

Functions of Open Flow-chart Proving in introductory lessons of formal proving
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
Author:Miyazaki, M., Fujita, T., and Jones, K.

Potentials for Spatial Geometry Curriculum Development with Three-Dimensional Dynamic Geometry Software in Lower Secondary Mathematics
The International Journal for Technology in Mathematics Education,19(2):73-79 2012(Jul. 04)
Author:Miyazaki, M., Kimiho, C., Katoh, R., Arai, H., Ogihara, F., Oguchi, Y., Morozumi, T., Kon,M., and Komatsu, K.

Introducing the structure of proof in lower secondary school geometry: a learning progression based on flow-chart proving
Proceedings of the 12th International Congress on Mathematical Education (ICME-12) 2012
Author:Miyazaki, Mikio; Fujita, Taro; Jones, Keith

Supporting students to overcome circular arguments in secondary school mathematics: the use of the flowchart proof learning platform
Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education,2:353-360 2011(Jul. 09)
Author:Fujita, T., Jones, K. and Miyazaki, M.

An assessment framework for students’ abilities/competencies in proving
The 5th East Asia Regional Conference on Mathematics Education (EARCOME5). Tokyo: National Olympics Memorial Youth Center.,2:416-423 2010(Aug. 22)
Author:Chino, K., Fujita, T., Komatsu, K., Makino, T., Miyakawa, T., Miyazaki, M., Mizutani, N., Nakagawa, H., Otsuka, S.&Tsujiyama, Y.

Teaching and Learning a proof as an object in lower secondary school mathematics of Japan
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
Author:Miyazaki, M.&Yumoto

Levels of proof in lower secondary school mathematics: As steps from an inductive proof to an algebraic demonstration.
Educational Studiesin Mathematics,41(1):47-68 2000(Apr. 01)
Author:Mikio Miyazaki

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,
2019(Aug. 06)
Presenter:Mikio Miyazaki, Hiroyuki Nakagawa, Atsushi Yoshikawa, Kimiho Chino, Takeshi Miyakawa, Taro Fujita, Shizumi Shimizu

2019(Jul. 17)
Presenter:Mikio Miyazaki, Taro Fujita, & Keith Jones

2018(Nov. 28)
Presenter:Miyazaki, M., Nakagawa, H., Chino, K., Iwata, K., Komatsu, K., Fujita, T.

Identifying Local Proof ‘Modules’ during Proving
the 41th Conference of the International Group for the Psychology of Mathematics Education (2017/7/17-22, National Institute of Education, Singapore) 2017(Jul. 19)
Presenter:Miyazaki, M, Fujita, T, Jones, K. and Ichikawa, D.

Aspects of scaffolding in a web-based learning system for congruency-based proofs in geometry,
12th International Conference on Technology in Mathematics Teaching, University of Algarve, Faculty of Sciences and Technology 2015/6/24-27 2015(Jun. 25)
Presenter:Keith Jones, Mikio Miyazaki and Taro Fujita

Learning congruency-based proofs in geometry via a web-based learning system
Proceedings of the British Society for Research into Learning Mathematics 33 2 2013(Mar.)
Presenter:Keith Jones, Taro Fujita and Mikio Miyazaki

Themes for Joint Research
Designing evaluation of competencies , Education
Let's Flowchart Thinking for the learning of proving (
Research Grants
Joint Research
2017 - 2018 , Developing a group thinking measure test (GTM) for iPad
2014 - 2017 , Using technology for comparing and strengthening geometry teaching in England, Japan and Hong Kong (British Academy)
2014 - 2015 , Group thinking measures and collaborative learning in mathematics in the UK and Japan
Research Activities
Journal Reviewer
International Journal for Technology in Mathematics Education