Abstract
This chapter examines ninth-grade students’ data-based modelling to estimate previous and unknown Japanese populations. The results of the students’ productions of group and individual models and their individual use of the group models demonstrated that the data-based modelling approach—which involves putting ‘data’ at the core of mathematical modelling—can be used to construct, validate, and revise various models while flexibly combining mathematical, statistical, and contextual approaches generated by using data from real-world contexts. Data-based modelling can be a pedagogically dynamic and flexible approach for balancing the development of generic modelling proficiency and the teaching of mathematics and statistics through real-world contexts.
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Acknowledgements
We wish to thank Prof. Dr. Akihiko Saeki (Naruto University of Education, Japan) for his helpful comments on earlier versions of this chapter. This work was supported by JSPS KAKENHI Grant Number JP17K14053.
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Kawakami, T., Mineno, K. (2021). Data-Based Modelling to Combine Mathematical, Statistical, and Contextual Approaches: Focusing on Ninth-Grade Students. In: Leung, F.K.S., Stillman, G.A., Kaiser, G., Wong, K.L. (eds) Mathematical Modelling Education in East and West. International Perspectives on the Teaching and Learning of Mathematical Modelling. Springer, Cham. https://doi.org/10.1007/978-3-030-66996-6_32
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