Arxius de Fermi problems | Gipeam https://gipeam.cat/etiqueta_publicacion/fermi-problems/ Grup d’Investigació en Pràctica Educativa i Activitat Matemàtica Wed, 22 Jan 2025 19:03:33 +0000 ca hourly 1 https://wordpress.org/?v=6.9.4 https://gipeam.cat/wp-content/uploads/2025/01/cropped-GIPEAM_favicon_512-32x32.png Arxius de Fermi problems | Gipeam https://gipeam.cat/etiqueta_publicacion/fermi-problems/ 32 32 Lessons Learned from Research on Fermi Problems and Mathematical Modelling: Theoretical and Practical Implications for School STEM Education https://gipeam.cat/publicacio/lessons-learned-from-research-on-fermi-problems-and-mathematical-modelling-theoretical-and-practical-implications-for-school-stem-education/ Thu, 12 Dec 2024 09:42:03 +0000 https://gipeam.cat/?p=1827 This chapter aims to demonstrate how adopting a mathematics education research perspective on Fermi problems can contribute to and enhance the practice and understanding of STEM education. To achieve this, we first discuss mathematical modelling from a mathematics education perspective and then briefly elaborate on modelling as discussed in STEM education. Our attention is then directed towards the inherent coupling of Fermi problems to mathematical activities and contents of the mathematical curriculum, in particular, estimates, estimation and mathematical modelling in mathematics education research. We present a framework for connecting recent advances in the research on Fermi problems to teaching and learning in STEM education and discuss the example of The tin foil boat challenge.

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]]> Exploring the Potential of Using Fermi Problems to Elicit and Develop Cultural Aspects in Modelling Processes https://gipeam.cat/publicacio/exploring-the-potential-of-using-fermi-problems-to-elicit-and-develop-cultural-aspects-in-modelling-processes/ Wed, 11 Dec 2024 18:39:06 +0000 https://gipeam.cat/?post_type=publicacio&p=2736 In this chapter, we outline a theoretical scaffold comprising intercultural awareness and modelling perspective components. Additionally, we report on the outcomes of two exploratory studies that employ Fermi problems to elicit intercultural awareness in pre-service teachers and students. In the first study, the Bikes Problem was successful in promoting 7th graders’ cultural and a-cultural elements in the Fermi problem setting. In the second study, the Teapot Problem enabled pre-service teachers to consider contextual and cultural assumptions in their solutions to the Fermi problem. Consequently, the Fermi problems possess the potential to encourage problem solvers to identify cultural facets of the problem situations, while functioning as a mathematical modelling exercise in enhancing cultural and intercultural awareness.

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]]> Fermi problems as a hub for task design in mathematics and stem education https://gipeam.cat/publicacio/fermi-problems-as-a-hub-for-task-design-in-mathematics-and-stem-education/ Tue, 10 Dec 2024 19:31:24 +0000 https://gipeam.cat/?post_type=publicacio&p=2753 In this paper, we draw on recent research on so-called Fermi problems and situate the fundamental principles underlying this type of tasks and their use from a task design perspective. We use the models and modelling perspective on teaching and learning to elaborate on aspects related to the design of single-use, as well as sequences of, Fermi problems. In addition, we discuss a framework (called the Fermi problem activity template [FPAT] framework) for supporting the design and use of Fermi problems to facilitate students’ learning within particular mathematics content areas and/or aimed at particular concepts or higher-order thinking skills. We also illustrate how the FPAT framework can be used to (i) facilitate interdisciplinary collaborations with other subjects such as the social sciences, but in particular with the other STEM subjects; and (ii) support teachers in adapting and implementing Fermi problems in their classrooms.

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]]> Does collaborative and experiential work influence the solution of real-context estimation problems? A study with prospective teachers https://gipeam.cat/publicacio/does-collaborative-and-experiential-work-influence-the-solution-of-real-context-estimation-problems-a-study-with-prospective-teachers/ Fri, 29 Dec 2023 15:41:18 +0000 https://gipeam.cat/?post_type=publicacio&p=4131 Although it is a challenge for primary school teachers, real-context estimation problems can be used as an introduction to mathematical modeling. With this aim, we designed a two-phase activity: in the first phase, 224 prospective teachers developed individual action plans to solve a sequence of real-context estimation problems in the classroom; in the second phase, they completed the solution of the same problems working in groups in the real location where the four problems were contextualized. A comparative study showed that, in the second phase, prospective teachers were able to adapt their solutions to contextual features detected in situ that had not been anticipated in the action plans developed during the first phase. Two-phase modeling activities, which permit a comparison of different perspectives on problems, facilitate the experience of collaborative work. These activities could be incorporated into prospective teachers’ initial training as a useful resource for improving their problem-solving expertise.

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