Designing Manipulatives as Microworld-Making: A Reflective Approach to Enhancing a Course through Pre-Service Teachers’ Contributions
Designing Manipulatives as Microworld-Making
DOI:
https://doi.org/10.21240/constr/2025/49.XKeywords:
Pre-service Teacher Education, Manipulatives Design, Microworld, MathematicsAbstract
This paper establishes a foundation for a teacher education course through a reflective approach to its development, viewing it as a dynamic process shaped by students’ experiences, knowledge construction, and manipulative design. This perspective reimagines teacher education beyond content delivery, promoting a vision in which both teacher educators and pre-service teachers are simultaneously practitioners, designers, and learners. Consistent with constructionist principles, the study analyses the design work of one student to explore how her contributions informed refinements to course structure and pedagogical framing. The pre-service teacher’s manipulative is examined through the lens of Symbolically Structured Environments (SSEs) – conceptually aligned with microworlds – highlighting how physical action interacts with mathematical symbols to deepen understanding. Framing manipulative design as microworld-making, the second iteration of the course incorporated key SSE elements to empower pre-service teachers to design manipulative that actively engage students in mathematical thinking.References
Akuom, D., & Greenstein, S. (2022). The nature of prospective mathematics teachers’ designed manipulative and their potential as anchors for conceptual and pedagogical knowledge. Journal of Research in Science, Mathematics and Technology Education, 5, 109-125.
Bartolini, M. G., & Martignone, F. (2020). Manipulatives in Mathematics Education. In S. Lerman (Éd.), Encyclopedia of Mathematics Education (p. 487‑494). Springer International Publishing. https://doi.org/10.1007/978-3-030-15789-0_93
Coles, A. & Sinclair, N. (2019a) Ritualisation in early number work. Educational Studies in Mathematics, 101, 177–194. https://doi.org/10.1007/s10649-018-9815-6
Coles, A. & Sinclair, N. (2019b). Re-thinking ‘Concrete to Abstract’ in Mathematics Education: Towards the Use of Symbolically Structured Environments. Canadian Journal of Science, Mathematics and Technology Education, 19, 465–480. https://doi.org/10.1007/s42330-019-00068-4
Dasgupta, S., Hill, B. M., & Monroy-Hernández, A. (2020). Engaging Learners in Constructing Constructionist Environments. In N. Holbert, M. Berland & Y. B. Kafai (Eds). Designing constructionist futures : the art, theory, and practice of learning designs (pp. 21-29). The MIT Press.
Henriksen, D., Gretter, S., & Richardson, C. (2018). Design thinking and the practicing teacher: addressing problems of practice in teacher education. Teaching Education, 31(2), 209–229. https://doi.org/10.1080/10476210.2018.1531841
Nicolas-Noir, B. & Corriveau, C. (forthcoming). Designing a tangible manipulative as a socio-material process integrating empathic and mathematical imagination. The 14th Congress of the European Society for Research in Mathematics Education (CERME14).
Noss, R., Hoyles, C. (2017). Technology enhanced learning: Research themes, (pp. 29-35) Springer, Cham. https://doi.org/10.1007/978-3-319-02600-8_3
Papert, S. (1980). Mindstorms: Children, computers, and powerful ideas. New York: Basic Books.
Wellner, G., & Levin, I. (2024). Ihde meets Papert: combining postphenomenology and constructionism for a future agenda of philosophy of education in the era of digital technologies. Learning, Media and Technology, 49(4), 656–669. https://doi.org/10.1080/17439884.2023.2251388
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