Elementary Students’ Higher-order Thinking in Classroom using a Model of Teaching through Problem Problem-Solving with an Open Approach
Main Article Content
Abstract
Higher-order thinking skills occur when people solve problems and need information which requires previous knowledge, doing, and metacognition. This research aimed to develop students’ higher-order thinking in classroom using a model of teaching through problem-solving by open approach. Case study was used in this study. The target group was the second-grade students in the school which used lesson study and open approach since 2020 academic year. Research tools include lesson plans, video cameras, IC recorders, and field notes. Data were collected by observed, recorded video and voices. Data were students’ worksheets and the protocol. Analyzing the data by using protocol, content, and descriptive analysis.
The finding showed that when using the model of teaching through a problem-solving approach, students’ mathematical thinking involves two main processes: 1) Students extend their ideas by applying ideas or how to learn from the previous lessons to solve new problems or challenging problems, students apply the idea of groups of tens and ones to solve problems and then extend this idea to solve the addition in vertical forms problems. 2) Students integrated all of the ideas in the lesson or the previous lesson to solve the problems, students applied the idea of how to calculating 12+23 and the algorithm of addition in vertical form, 13+24, to solve problem of the addition in vertical form with the carry 38+27.
Article Details

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
References
Becker, J. P., & Shimada, S. (1997). The open-ended approach: a new proposal for teaching mathematics. National Council of Teachers of Mathematics.
Boonsena, N., Inprasitha, M., Changsri, N., & Matney, G. T. (2019). Teachers Learning about Teaching Practice in a Modify Lesson Study. Psychology, 10, 977–988. https://doi.org/10.4236/psych. 2019.107064
Byrnes, J. P. (2008). Cognitive Development and Learning in Instructional Contexts (3rd ed.). Pearson.
Chan, M. C. E., & Clarke, D. (2017). Structured affordances in the use of open-ended tasks to facilitate collaborative problem solving. ZDM, 49(6), 951–963. https://doi.org/10.1007/s11858-017-0876-2
Hamzah, H., Hamzah, M. I., & Zulkifli, H. (2022). Systematic literature review on the elements of metacognition-based higher order thinking skills (hots) teaching and learning modules. Sustainability, 14(813). 1–15. https://doi.org/10.3390/su14020813
Hino, K. (2007). Toward the problem-centered classroom: trends in mathematical problem solving in Japan. ZDM, 39(5), 503–514. https://doi.org/10.1007/s11858-007-0052-1
Inprasitha, M. (2006). Open-ended approach and teacher education. Tsukuba Journal of Educational Study in Mathematics, 25, 169–178.
Inprasitha, M. (2019). A New Model of Mathematics Curriculum and Instruction System in Thailand BT - School Mathematics Curricula: Asian Perspectives and Glimpses of Reform, In C. P. Vistro-Yu & T. L. Toh (eds.); pp. 51–77). Springer Singapore.
Inprasitha, M. (2022). Problem solving in school mathematics (2nd Ed.) I-print Design Company Limited. [in Thai]
Inprasitha, M. (2022). Lesson study and open approach development in Thailand: a longitudinal study. International Journal for Lesson & Learning Studies, 11(5), 1–15. https://doi.org/10.1108/IJLLS-04-2021-0029
Inprasitha, M. (2023a). Blended learning classroom model: a new extended teaching approach for new normal. International Journal for Lesson & Learning Studies, 12(4), 288–300. https://doi.org/10.1108/IJLLS-01-2023-0011
Inprasitha, M. (2023b). Learning to think mathematically in Thai classroom using Thailand Lesson Study incorporated with Open Approach (TLSOA). In M. Inprasitha, A. Sudjamnong, A. Suriyon, J. Saengpun, P. Moonpo, R. Chaovasetthakul, S. Plianram, & W. Suttiamporn (Eds.), Proceedings of the Regional Conference of the International Group for the Psychology of Mathematics Education 2023 (pp. 1–8). PME.
Intaros, P., Senawongsa, C., & Chaiwong, S. (2021). Students' learning how to learn in 2s to 5s multiplication table, In M. Inprasitha (Ed.), Two decades of reforming learning processes towards higher-order thinking competencies, the 7th National Conference on Mathematics Education (p.106). Thailand Society of Mathematics Education. [in Thai]
Isoda, M., & Katagiri, S. (2012). Mathematical thinking: How to develop it in the classroom. World Scientific Publishing. https://doi.org/10.1142/8163
Isoda, M., & Olfos, R. (2021). Teaching multiplication with lesson study: Japanese and Ibero-american theories for international mathematics education. Springer Cham.
Jai-on, K. & Bangtho, K. (2020). Student’s mathematical thinking in area unit using lesson study and open approach. Journal of Education, Prince of Songkla University, Pattani Campus, 31(1), 28-37. [in Thai]
Kwon, O. N., Park, J. H., & Park, J. S. (2006). Cultivating divergent thinking in mathematics through an open-ended approach. Asia Pacific Education Review, 7(1), 51–61.
Lewis, A., & Smith, D. (1993). Defining higher order thinking. Theory Into Practice, 32(3), 131–137.
Nasinsroi, J., Changsri, N., & Inprasitha, M. (2015). Students’ mathematical thinking about multiplication in classroom using lesson study and open approach. Journal of Education, Khonkaen University, 38(3), 133-142.
NCTM. (2000). Principles and standards for school mathematics. NCTM.
Newmann, F. M. (1990). Higher order thinking in teaching social studies: a rationale for the assessment of classroom thoughtfulness. Journal of Curriculum Studies, 22(1), 41–56.
Nieminen, J. H., Chan, M. C. E., & Clarke, D. (2022). What affordances do open-ended real-life tasks offer for sharing student agency in collaborative problem-solving? Educational Studies in Mathematics, 109(1), 115–136. https://doi.org/10.1007/s10649-021-10074-9
Nohda, N. (2000). Teaching by open-approach method in Japanese mathematics classroom. Proceeding of the 24th Conference of the International Group for the Psychology of Mathematics Education (PME 24), 39–54.
Office of the Education Council. (2020). Thailand's education to the global stage 2020 (IMD2020). 21 Century Co., Ltd. [in Thai]
Schoenfeld, A. (1992). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. In D.A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 165-197). MacMillan.
Takahashi, A. (2021). Teaching mathematics through problem-solving: A pedagogical approach from Japan. Routledge.
Wetbunpot, K., Moonpo, P., & Lah-oh, S. (2021). Students' how to learn in area unit using open approach classroom, In M. Inprasitha (Ed.), Two decades of reforming learning processes towards higher-order thinking competencies, the 7th National Conference on Mathematics Education (p.68). Thailand Society of Mathematics Education. [in Thai]