Extensive Discussion (Neriage) in Mathematics Classroom using Transformative Lesson Study incorporated with Open Approach

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Kavinvit Pengkhampha
Sampan Thinwiangthong

Abstract

          This study investigated how extensive discussion (Neriage) in a mathematics classroom implementing Transformative Lesson Study incorporated with Open Approach (TLSOA). The participants were 14 Matthayom 2 students from a medium-sized school in Khon Kaen Province, selected through purposive sampling. Data were collected from lesson plans, field notes, video and audio recordings, and photographs and were analyzed using Inprasitha’s (2019) framework for whole-class discussion and comparison. The findings revealed four components of discussion for refining students’ ideas within TLSOA. First, the teacher sequenced the students’ ideas from less complex to more complex approaches, beginning with counting, followed by substitution, and then reading values from a table. Second, students were given opportunities to present diverse approaches, including counting, substitution, and reading values from a table. Third, students compared the approaches and recognized that, although the methods differed, they produced the same result. Fourth, students developed a deeper and more systematic understanding by identifying the advantages and limitations of each approach. They regarded substitution as mathematically valid but computationally complex, whereas reading values from a table was considered easier and more efficient. Overall, the findings showed that students refined their ideas through presenting diverse approaches, comparing and sequencing ideas, and selecting the approach they considered most appropriate for solving the problem.

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How to Cite
Pengkhampha, K., & Thinwiangthong, S. (2026). Extensive Discussion (Neriage) in Mathematics Classroom using Transformative Lesson Study incorporated with Open Approach. Journal of Integration Social Sciences and Development, 6(2), 141–152. retrieved from https://so15.tci-thaijo.org/index.php/JISSD/article/view/4115
Section
Research Articles

References

รุจิศสินี เวียงนนท์. (2563). บทบาทของครูเพื่อส่งเสริมการอภิปรายและเปรียบเทียบร่วมกันในชั้นเรียนคณิตศาสตร์ที่ใช้การศึกษาชั้นเรียนและวิธีการแบบเปิด. (วิทยานิพนธ์ปริญญาศึกษาศาสตรมหาบัณฑิต, มหาวิทยาลัยขอนแก่น).

ไมตรี อินทร์ประสิทธิ์. (2562). กิจกรรมเปิดชั้นเรียนระดับชาติ ครั้งที่ 13. ศูนย์วิจัยคณิตศาสตรศึกษา คณะศึกษาศาสตร์ มหาวิทยาลัยขอนแก่น.

ไมตรี อินทร์ประสิทธิ์. (2565). กระบวนการแก้ปัญหาในคณิตศาสตร์ระดับโรงเรียน (พิมพ์ครั้งที่ 2). ศูนย์วิจัยคณิตศาสตรศึกษา คณะศึกษาศาสตร์ มหาวิทยาลัยขอนแก่น.

Adu-Gyamfi, K., & Bossé, M. J. (2014). Processes and reasoning in representations of linear functions. International Journal of Science and Mathematics Education, 12(1), 167–192.

Becker, J. P., & Shimada, S. (1997). The open-ended approach: A new proposal for teaching mathematics. National Council of Teachers of Mathematics.

Blanton, M. L., & Kaput, J. J. (2011). Functional thinking as a route into algebra in the elementary grades. In J. Cai & E. Knuth (Eds.), Early algebraization: A global dialogue from multiple perspectives (pp. 5–23). Springer.

Dewey, J. (1933). How we think. D.C. Heath.

Fernandez, C., & Yoshida M. (2004). Lesson Study: A Japanese Approach to Improving Mathematics Teaching and Learning. Lawrence Erlbaum Associates.

Inoue, N. (2011). Zen and the art of neriage: Facilitating consensus building in mathematics inquiry lessons through lesson study. Journal of Mathematics Teacher Education, 14, 5–23.

Inprasitha, M. (2011). One feature of adaptive lesson study in Thailand: Designing a learning unit. Journal of Science and Mathematics Education in Southeast Asia, 34(1), 47–66.

Inprasitha, M. (2022). Lesson study and open approach development in Thailand: A longitudinal study. International Journal for Lesson and Learning Studies, 11(5), 1–15.

Isoda, M., & Katagiri, S. (2012). Mathematical thinking: How to develop it in the classroom. World Scientific.

Natan, A., Jr., & Ishii, H. (2023). Structured problem-solving and extensive discussion (Neriage) approach in teaching mathematics: A case study on Hokkaido University Education’s attached schools. Journal of Hokkaido University of Education (Clinical Research in Education), 73(1–2), 189–201.

National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Lawrence Erlbaum Associates.

Nohda, N. (2000). Teaching by open-approach method in Japanese mathematics classroom. In T. Nakahara & M. Koyama (Eds.), Proceedings of the 24th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 39–53). International Group for the Psychology of Mathematics Education.

OECD. (2019). OECD Future of Education and Skills 2030: Anticipation–Action–Reflection cycle for 2030—Conceptual learning framework. OECD Publishing.

OECD. (2023). PISA 2022 assessment and analytical framework. OECD Publishing.

Shimizu, Y. (1999). Aspects of mathematics teacher education in Japan: Focusing on teachers' roles. Journal of Mathematics Teacher Education, 2(1), 107–116.

Sproesser, U., Vogel, M., Dörfler, T., & Eichler, A. (2022). Changing between representations of elementary functions: Students’ competencies and differences with a specific perspective on school track and gender. International Journal of STEM Education, 9, Article 33.

Star, J. R., Jeon, S., Comeford, R., Clark, P., Rittle-Johnson, B., & Durkin, K. (2021). Compare and discuss multiple strategies. Mathematics Teacher: Learning and Teaching PK–12, 114(11), 853–859.

Stigler, J. W., & Hiebert, J. (1999). The teaching gap: Best ideas from the world’s teachers for improving education in the classroom. Free Press.

Takahashi, A. (2008). Beyond show and tell: Neriage for teaching through problem-solving—Ideas from Japanese problem-solving approaches for teaching mathematics. In M. Santos-Trigo & Y. Shimizu (Eds.), ICME 11, Topic Study Group 19: Research