Abstract
AbstractThis study draws on quantitative reasoning research to explain how secondary mathematics preservice teachers’ (PSTs) modelling competencies changed as they participated in a teacher education programme that integrated modelling experience. Adopting a mixed methods approach, we documented 110 PSTs’ competencies in Vietnam using an adapted Modelling Competencies Questionnaire. The results show that PSTs improved their real-world-problem-statement, formulating-a-model, solving-mathematics, and interpreting-outcomes competencies. Showing their formulating-a-model and interpreting-outcomes competencies, PSTs enhanced their quantitative reasoning by properly interpreting the quantities and their relationships using different representations. In addition, the analysis showed a statistically significant correlation between PSTs’ modelling competencies and quantitative reasoning. Suggestions for programme design to enhance modelling competencies are included.
Funder
Federation University Australia
Publisher
Springer Science and Business Media LLC
Reference58 articles.
1. ACARA. (2022). The Australian curriculum. Retrieved March 30, 2023, from https://www.v9.australiancurriculum.edu.au/
2. Anhalt, C. O., Cortez, R., & Bennett, A. B. (2018). The emergence of mathematical modelling competencies: An investigation of prospective secondary mathematics teachers. Mathematical Thinking and Learning, 20(3), 202–221. https://doi.org/10.1080/10986065.2018.1474532
3. Ariza, A., Llinares, S., & Valls, J. (2015). Students’ understanding of the function-derivative relationship when learning economic concepts. Mathematics Education Research Journal, 27(4), 615–635. https://doi.org/10.1007/s13394-015-0156-9
4. Aspinwall, L., & Miller, D. (1997). Students’ positive reliance on writing as a process to learn first semester calculus. Journal of Instructional Psychology, 24(4), 253–261.
5. Aspinwall, L., & Miller, D. (2001). Diagnosing conflict factors in calculus through students’ writings: One teacher’s reflections. Journal of Mathematical Behavior, 20(1), 89–107. https://doi.org/10.1016/S0732-3123(01)00063-3