The Didactic Notion of “Mathematical Activity” in Japanese Teachers’ Professional Scholarship: A Case Study of an Open Lesson

Authors

https://doi.org/10.17583/redimat.2021.4598

Downloads

Abstract

This paper investigates how Japanese mathematics teachers produce and share didactic knowledge together. It is a case study of a post-lesson reflection meeting so-called open lesson. The crucial idea of this study is the dialectic between the specific and generic level of foci of the participants’ reflections about the observed teaching practice; namely, about applied teacher’s specific didactic technique for achieving a specific mathematical goal, and more general pedagogical issues such as realisation of the objectives of mathematics education. This dialectic is mediated by the meso-level notion of mathematical activity, described in the guidelines for Japanese national curriculum. The application of the scale of levels of didactic co-determination, provided by the anthropological theory of the didactic into the analysis shows in what way the dialectic interplay between the teachers’ comments with focus of the specific and generic levels influences the development and establishment of the Japanese teachers’ shared professional scholarship.

Downloads

Download data is not yet available.

Author Biography

Yukiko Asami-Johansson, University of Gävle

Faculty of Engineering and Sustainable Development Department of Electrical Engineering, Mathematics and Science

References

Author. (2015). (Licentiate thesis).

Google Scholar Crossref

Barbé, J., Bosch, M., Espinoza, L., & Gascón, J. (2005). Didactic restrictions on the teacher’s practice: The case of limits of functions in Spanish high schools. Educational Studies in Mathematics, 59(1–3), 235–268.

Google Scholar Crossref

Bosch, M., & Gascón, J. (2006). Twenty-five years of the didactic transposition. ICMI Bulletin, 58, 51–65.

Google Scholar Crossref

Bosch, M., & Gascón, J. (2014). Introduction to the anthropological theory of the didactic (ATD). In A. Bikner-Ahsbahs & S. Prediger (Eds.), Networking of theories as a research practice in mathematics education, advances in mathematics education. Cham, Switzerland: Springer International Publishing.

Google Scholar Crossref

Chevallard, Y. (1988). Esquisse d’une the´orie formelle du didactique. In C. Laborde (Ed.), Actes du, premier colloque franco-allemand de didactique des mathe´matiques et de l’informatique (pp. 97–106). Grenoble, France: La Pense´e sauvage.

Google Scholar Crossref

Chevallard, Y. (1999). L’analyse des pratiques enseignantes en théorie anthropologique du didactique. Recherches en Didactique des Mathématiques, 19(2), 221-266.

Google Scholar Crossref

Chevallard, Y. (2006). Former des professeurs, construire la profession de professeur [Train teachers, build the profession of teacher]. http://yves.chevallard.free.fr/spip/spip/IMG/pdf/Former_des_professeurs_construire_la_profession.pdf. Accessed 10 February, 2018.

Google Scholar Crossref

Chevallard, Y. (2009). Remarques sur la notion d’infrastructure didactique et sur le rôle des PER [Remarks on the notion of didactic infrastructure and the role of the study and research path]. Paper presented at the Journe ́es Ampe`re in Lyon, May 2009. http://yves.chevallard.free.fr/spip/spip/IMG/pdf/Infrastructure_didactique_PER.pdf. Accessed 10 January, 2018.

Google Scholar Crossref

Corey, D. L., Peterson, B. E., Lewis, B. M., & Bukarau, J. (2010). Are there any places that students use their heads? Principles of High-quality Japanese mathematics instruction. Journal for Research in Mathematics Education, 41(5), 438–478.

Google Scholar Crossref

Etzioni, A. (1969). The Semi-professions and their Organization: Teachers, Nurses and Social Workers. New York: Free Press.

Google Scholar Crossref

Fernandez, C., Cannon, J., & Chokshi, S. (2003). A U.S.–Japan lesson study collaborative reveals critical lenses for examining practice. Teaching and Teacher Education, 19, 171–185.

Google Scholar Crossref

Groves, S., & Doig, B. (Eds). (2014). Japanese Lesson Study: A model for whole-school teacher professional learning. Special issue Mathematics Teacher Education and Development 16(1).

Google Scholar Crossref

Ikeda, T. (2008). Suugakuteki katsudou wo saikou suru–sono seikaku to ito– [Rethinking mathematical activities - its characteristics and intention]. Journal of Japan Society of Mathematical Education. Mathematical education 90(9), 56–64.

Google Scholar Crossref

Isoda, M. (1999). Sugakuteki katsudou no kitei no shosou to sono tenkai: Sengo no kyouikukatei ni okeru mokuhyoukijutsu to keitouka genri “gutaikateki chusho” ni chumoku shite [The various definition and its development of the notion of mathematical activity. Focusing on the systematization principle “embodying the abstract” within the educational curriculum]. Journal of Japan Society of Mathematical Education, 81(10), 10–19.

Google Scholar Crossref

Isoda, M. (2015). The science of lesson study in the problem solving approach. In M. Inprasitha, M. Isoda, P. Wang-Iverson, & B. H. Yeap (Eds.), Lesson study: Challenges in mathematics education (pp. 81–108). Singapore: World Scientific.

Google Scholar Crossref

Jacobs, J. K., & Morita, E. (2002). Japanese and American teachers’ evaluation of videotaped mathematics lessons. Journal for Research in Mathematics Education, 33(3), 154–175.

Google Scholar Crossref

Kunimune, S. (2016). Seeking ‘Good lessons’ in mathematics. In K. Souma, S. Kunimune & H. Ninomiya (Eds.), Sugakuno yoi jugyou [Good lessons’ in mathematics]. Tokyo: Meijitosho.

Google Scholar Crossref

Lewis, C. (2002). Lesson study: A handbook of teacher-led instructional improvement. Philadelphia, PA: Research for Better Schools.

Google Scholar Crossref

MEXT (Ministry of Education, Culture, Sports, Science and Technology) (2008). Junior high school teaching guide for the Japanese Course of Study: Mathematics. (English version translated by CRICED).http://www.criced.tsukuba.ac.jp/math/apec/ICME12/Lesson_Study_set/Junior_high_school-teaching-guide-Mathmatics-EN.pdf. Accessed 10 February, 2018.

Google Scholar Crossref

MEXT (Ministry of Education, Culture, Sports, Science and Technology) (2018). Chugakko gakushu shido yoryo kaisetsu, sugaku-hen [Junior high school teaching guide for the Japanese Course of Study: mathematics] http://www.mext.go.jp/a_menu/shotou/new-cs/1383986.htm. Accessed 10 February, 2018.

Google Scholar Crossref

Miyakawa, T. & Winsløw, C. (2013). Developing mathematics teacher knowledge: the paradidactic infrastructure of “open lesson” in Japan. Journal of Mathematics Teacher Education 16(3), 185–209.

Google Scholar Crossref

Miyakawa, T. & Winsløw, C. (2019). Paradidactic infrastructure for sharing and documenting mathematics teacher knowledge: a case study of “practice research” in Japan. Journal of Mathematics Teacher Education, 22(3). 281-303.

Google Scholar Crossref

Nagasaki, E. (2007). Sansuu no chikara Suugakuteki na kangaekata wo norikoete [The power of mathematics: Beyond the mathematical thinking]. Toyo: Tokyo Shuppan.

Google Scholar Crossref

Nakahara, T. (Ed.). (2000). Sansuusuugakuka juyo-yougo 300 no kiso chishiki [The basic knowledge of 300 essential terms in school mathematics]. Tokyo: Meijitosho.

Google Scholar Crossref

Quaresma, M., Winsløw, C., Clivaz, da Ponte, J. P., Ní Shúilleabháin, A., & Takahashi, A. (Eds.). (2018). Mathematics Lesson study around the world: Theoretical and methodological issues. ICMI-13 Monographs. Cham, Switzerland: Springer International.

Google Scholar Crossref

Rasmussen, K. (2015). Lesson study in prospective mathematics teacher education: didactic and paradidactic technology in the post-lesson reflection. Journal of Mathematics Teacher Education, 19(4), 301–324.

Google Scholar Crossref

Shimizu, S. (2011). Mondaikaiketsu ha kodomotachi no jiritsu notameni.-“Sugakuteki na kangaekata” to “sansuutekikatsudou” ha “Mondaikaiketsu” no keshin [The problem solving for the independence of children. –Mathematical way of thinking and mathematical activities in elementary school level is incarnation of the problem solving approach]. Ronkyu, 76(1), 4–5.

Google Scholar Crossref

Shimizu, Y. (1999). Aspect of mathematics teacher education in japan: Focusing in teachers’ roles. Journal of Mathematics Teacher Education, 2(1), 107–116.

Google Scholar Crossref

Stigler, J., & Hiebert, J. (1999). The teaching gap: Best ideas from the world’s teachers for improving education in the classroom. New York: The free press.

Google Scholar Crossref

Winsløw, C. (2011). A comparative perspective on teacher collaboration: The cases of lesson study in Japan and of multidisciplinary teaching in Denmark. In G. Gueudet, B. Pepin, & L. Trouche (Eds.), Mathematics curriculum material and teacher documentation: From textbooks to shared living resources (pp. 291–304). New York: Springer.

Google Scholar Crossref

Downloads

Published

2021-02-24

Almetric

Dimensions

Issue

Section

Articles