Abstract
Beliefs can be investigated with regard to the nature of mathematics as well as mathematical contents. In this study, mathematical beliefs of students from different countries and all grades were analysed with relation to a model of mathematical content based thinking. Data consisted of students’ photos from everyday life taken for an international photo competition supplemented by their explanations about the mathematical content contained in their pictures. Most of the respondents have geometric or numerical beliefs about mathematical aspects in everyday life and on average, the investigated students show up to two different aspects of mathematical content based thinking. Further studies will focus on beliefs that students of different ages, types of schools, mathematical interest, and countries of origin possess.
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References
Baki, A., Çatlıoğlu, H., Coştu, S., & Birgin, O. (2009). Conceptions of high school students about mathematical connections to the real-life. Procedia-Social and Behavioral Sciences, 1(1), 1402–1407.
Ernest, P. (1989). The knowledge, beliefs and attitudes of the mathematics teacher: A model. Journal of Education for Teaching, 15(1), 13–33.
Felbrich, A., Schmotz, C., & Kaiser, G. (2010). Überzeugungen angehender Primarstufenlehrkräfte im internationalen Vergleich [Prospective primary education teachers’ beliefs – international comparison]. In S. Blömeke, G. Kaiser, & R. Lehmann (Eds.), TEDS-M 2008 – Professionelle Kompetenz und Lerngelegenheiten angehender Primarstufenlehrkräfte im internationalen Vergleich (pp. 297–326). Münster, DE: Waxmann.
Grigutsch, S. (1996). Mathematische Weltbilder von Schülern: Struktur, Entwicklung, Einflußfaktoren [On pupils’ views of mathematics and self-concepts: developments, structures and factors of influence] (Unpublished doctoral dissertation). Duisburg, DE: Universität Duisburg.
Hussner, M. (2019, July 2). Partnerschulen der MLU [Partner schools of the Martin Luther University of Halle-Wittenberg]. Retrieved from https://www.international.uni-halle.de/international_office/studierende/hallesche_studierende/lehramtsstudierende/partnerschulen/
Martin, L., & Gourley-Delaney, P. (2014). Students’ images of mathematics. Instructional Science, 42(4), 595–614.
OECD. (2018). PISA 2021 Mathematics Framework (Draft). Retrieved from https://pisa.e-wd.org/files/PISA%202021%20Mathematics%20Framework%20Draft.pdf
Padberg, F., & Büchter, A. (2015). Einführung Mathematik Primarstufe – Arithmetik [Introduction mathematics primary education – Arithmetic] (2nd ed.). Berlin, DE: Springer Spektrum.
PASCH Initiative. (2019). What is PASCH? The “Schools: Partners for the Future” initiative. Retrieved from https://www.pasch-net.de/en/udi.html
Pehkonen, E. (1994). On teachers’ beliefs and changing mathematics teaching. Journal für Mathematik-Didaktik, 15(3–4), 177–209.
Philipp, R. A. (2007). Mathematics teachers’ beliefs and affect. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning (Vol. 1, pp. 257–315). Charlotte, NC: Information Age.
Prediger, S. (2008). Do you want me to do it with probability or with my normal thinking? International Electronic Journal of Mathematics Education, 3(3), 126–154.
Rolka, K., & Halverscheid, S. (2006). Pictures as a means for investigating mathematical beliefs. In S. Alatorre, J. Cortina, M. Saíz, & A. Méndez (Eds.), Proceedings of the 28th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 533–539). Mérida: Universidad Pedagógica Nacional.
Rolka, K., & Halverscheid, S. (2011). Researching young students’ mathematical world views. ZDM: The International Journal on Mathematics Education, 43(4), 521–533.
Törner, G. (2002). Mathematical beliefs - a search for a common ground: Some theoretical considerations on structuring beliefs, some research questions, and some phenomenological observations. In G. C. Leder, E. Pehkonen, & G. Törner (Eds.), Beliefs: A hidden variable in mathematics education (pp. 73–94). New York, NY: Kluwer.
Ulm, V. (2010). Mathematische Begabungen fördern [Fostering mathematical talents]. Berlin, DE: Cornelsen Scriptor.
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I would like to acknowledge all the students who participated in the international photo competition as well as the teachers who motivated them to put on their mathematical lenses.
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Blum, S. (2020). Students’ Beliefs about Mathematical Content Based Thinking Represented in Photos from Everyday Life all over the World. In: Andrà, C., Brunetto, D., Martignone, F. (eds) Theorizing and Measuring Affect in Mathematics Teaching and Learning. Springer, Cham. https://doi.org/10.1007/978-3-030-50526-4_11
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DOI: https://doi.org/10.1007/978-3-030-50526-4_11
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