Task Sequence in Mathematics Teaching : A Pathway to Sustainable Conceptual Understanding

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suwarnnee plianram
kasem premprayoon

Abstract

This article explores the concept and significance of Task Sequence in mathematics teaching, aiming to foster sustainable conceptual understanding. A Task Sequence refers to the systematic and intentional arrangement of mathematical activities designed to guide students from prior knowledge to more complex concepts in a step-by-step manner. Its foundation lies in constructivist theory and it is closely linked to the Hypothetical Learning Trajectory (HLT) framework. Effective Task Sequence design is crucial as it promotes deep conceptual understanding, establishes clear learning paths, accommodates diverse student development, stimulates engagement and mathematical thinking, and serves as a vital tool for teacher professional development. The article presents a case study on teaching the area of parallelograms in Grade 5, illustrating the application of Task Sequence across four lessons. Placing importance on the design of a quality Task Sequence is thus essential for elevating the quality of mathematics teaching and learning. 

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บทความวิชาการ (Articles)

References

Arbaugh, F., & Brown, C. A. (2005). Analyzing mathematical tasks: A catalyst for change?

Journal of Mathematics Teacher Education, 8(6), 499–536.

https://doi.org/10.1007/s10857-006-6585-3

Carpenter, T. P., Franke, M. L., & Levi, L. (2003). Thinking mathematically: Integrating

arithmetic and algebra in elementary school. Heinemann.

Clarke, D., & Hollingsworth, H. (2002). Elaborating a model of teacher professional growth.

Teaching and Teacher Education, 18(8), 947–967. https://doi.org/10.1016/S0742-051X(02)00053-7

Clements, D. H., & Sarama, J. (2004). Learning trajectories in mathematics education.

Mathematical Thinking and Learning, 6(2), 81–110. https://doi.org/10.1207/s15327833mtl0602_1

Doerr, H. M., & Zangor, R. (2000). Creating meaning for and with the graphing calculator.

Educational Studies in Mathematics, 41(2), 143–163. https://doi.org/10.1023/A:1003905929557

Hiebert, J., & Wearne, D. (1993). Instructional tasks, classroom discourse, and students'

learning in second-grade arithmetic. American Educational Research Journal, 30(2), 393–425. https://doi.org/10.3102/00028312030002393

Inprasitha, M. et al. (2018). Mathematics Textbook for Primary Grade 5, Volume 2

(2nd ed.). Khon Kaen: Faculty of Education, Khon Kaen University. (in Thai)

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. https://doi.org/10.1108/IJLLS-04-2021-0029

Isoda, M. (2020). Producing theories for mathematics education through collaboration: A

historical development of Japanese lesson study [Plenary lecture]. ICMI Study 25: Teachers of mathematics working and learning in collaborative groups, Lisbon, Portugal.

Lithner, J. (2017). Principles for designing mathematical tasks that enhance imitative and

creative reasoning. ZDM Mathematics Education, 49(6), 937–949. https://doi.org/10.1007/s11858-017-0867-3

National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring

mathematical success for all. Author.

Organisation for Economic Co-operation and Development. (2018). The future of

education and skills: Education 2030. OECD Publishing.

Organisation for Economic Co-operation and Development. (2023). PISA 2022 results

(Volume I): The state of learning and equity in education. OECD Publishing.

Simon, M. A. (1995). Reconstructing mathematics pedagogy from a constructivist

perspective. Journal for Research in Mathematics Education, 26(2), 114–145.

https://doi.org/10.2307/749205

Simon, M. A. (2016). An approach to the design of mathematical task sequences:

Conceptual learning as abstraction. PNA, 10(4), 270–279.

Simon, M. A., & Tzur, R. (2004). Explicating the role of mathematical tasks in conceptual

learning: An elaboration of the hypothetical learning trajectory. Mathematical Thinking and Learning, 6(2), 91–104. https://doi.org/10.1207/s15327833mtl0602_2

Watson, A., & Ohtani, M. (Eds.). (2015). Task design in mathematics education: An ICMI

study 22. Springer.

Yoshida, M. (2005). Using lesson study to develop effective blackboard practices. In P.

Wang-Iverson & M. Yoshida (Eds.), Building our understanding of lesson study (pp. 93–100). Research for Better Schools.