Inverse Modeling Problems and Task Enrichment: Analysis of Two Experiences with Spanish Prospective Teachers

Öz

Problem solving and problem posing are both important topics in mathematics education. Since in many branches of science and technology, typical problems are posed in an inverse form, we will focus on inverse problems that require modeling skills in order to be solved, i.e., the so-called inverse modeling problems. In this article, we will analyze them from the view point of their potential for task enrichment. For this purpose, a research project was carried out, by using inverse modeling problems to develop prospective teacher`s task enrichment skills. The results of this experience, that took place in 2017, showed that only few participants were very creative, whereas many others posed trivial problems or simply imitated examples previously analyzed. After that, a new research essay was implemented during the first months of 2019, with the aim of avoiding – or at least attenuating – those difficulties observed in the previous field work. The new results showed some few similarities and very interesting differences, when compared with the other experience. In this article, we comment our findings and some conclusions are reported.

Anahtar Kelimeler

• inverse problems,task enrichment,prospective teachers,mathematical modeling

Destekleyen Kurum

Universidad de Granada, Spain

Proje Numarası

PGC2018-095765-B-100

Teşekkür

The research was carried out with the support of the research project “Professional Competence of teachers in initial training and STEM Education” (PGC2018-095765-B-100)) of the National R + D + I Plan, and of the Research Group FQM-193: Didactics of Mathematics, Numerical Thought, of the Andalusian Plan for Research, Development and Innovation (PAIDI).

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