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Gabriele Kaisers wissenschaftliches Werk Kapitel lesen Erstes Kapitel lesen

2022 | OriginalPaper | Buchkapitel

2. Mathematical modelling – a key to citizenship education

verfasst von : Katja Maass, Michèle Artigue, Hugh Burkhardt, Michiel Doorman, Lyn D. English, Vincent Geiger, Konrad Krainer, Despina Potari, Alan Schoenfeld

Erschienen in: Initiationen mathematikdidaktischer Forschung

Verlag: Springer Fachmedien Wiesbaden

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Abstract

The pandemic has demonstrated more than ever that citizens around the world need to understand how mathematics contributes to understanding global challenges and ways of overcoming them. People need to understand that predictions are based on models that make use of assumptions and the best inputs available. They also need to learn to critically evaluate reports based on the outcomes of models to make effective decisions and deal with the inherent uncertainty in an appropriate way. These capabilities make it clear that mathematical modelling is a key element of citizenship education. Given this fundamental role of modelling, we take a closer look at its definition, its history, its connection to other teaching approaches, as well as the competences students need to carry through modelling processes and the competences teachers need for teaching modelling.

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Vorheriges Kapitel Gabriele Kaisers wissenschaftliches Werk
Nächstes Kapitel Fostering Mathematical Modelling Competencies: A Systematic Literature Review
Literatur
Artigue, M. (2017). Qué es la educación matemática basada en la indagación ? La Gaceta de la Real Sociedad Matemática Española, 20(3), 1–17.
Artigue, M., & Blomhøj, M. (2013). Conceptualizing inquiry-based education in mathematics. ZDM – Mathematics Education, 45(6), 797–810.
Bakogianni, D., Potari, D., Psycharis, G., Sakonidis, C., Spiliotopoulou, V., & Triantafillou, C. (2021). Mathematics teacher educators’ learning in supporting teachers to link mathematics and workplace situations in classroom teaching. In M. Goos & K. Beswick (Eds.), The Learning and Development of Mathematics Teacher Educators (S. 281–299). Springer, Cham.
Barbosa, J. (2006). Mathematical modelling in the classroom: a socio-critical and discursive perspective. ZDM – Mathematics Education, 38, 293–301.
Barquero, B., Monreal, N., Ruiz-Munzón, N., & Serrano, L. (2018). Linking transmission with inquiry at university level through study and research paths: the case of forecasting Facebook user growth. International Journal of Research in Undergraduate Mathematics Education, 4(1), 8–22.CrossRef
Blömeke, S., & Kaiser, G. (2017). Understanding the development of teachers’ professional as personally, situationally and socially determined. In D. J. Clandini & J. Husu (Hrsg.), International handbook on research on teacher education (S. 783–802). Sage.
Blömeke, S., Kaiser, G., König, J., & Jentsch, A. (2020). Profiles of mathematics teachers’ competence and their relation to instructional quality. ZDM – Mathematics Education, 52(2), 329–342.
Blum, W. (2011). Can modelling be taught and learnt? Some answers from empirical research. In G. Kaiser, W. Blum, R. B. Ferri, & G. Stillman (Hrsg.), Trends in teaching and learning of mathematical modelling: ICTMA14 (S. 15–30). Springer Science & Business Media.
Bosch, M. (2018). Study and research paths: A model for inquiry. In B. Sirakov, P. N. de Souza, & M. Viana (Hrsg.), International Congress of Mathematicians (Bd. 3, S. 4001–4022). World Scientific Publishing.
Burkhardt, H. (1981). The real world and mathematics. Blackie.
Burkhardt, H., & Schoenfeld, A. H. (2019). Formative assessment in mathematics. In R. Bennett, G. Cizek, & H. Andrade (Hrsg.), Handbook of formative assessment in the disciplines (S. 35–67). Routledge.CrossRef
Bybee, R. W. (2010). Advancing STEM education: A 2020 vision. Technology and Engineering Teacher, 70, 30–35.
Chevallard, Y. (2015). Teaching mathematics in tomorrow’s society: A case for an oncoming counter paradigm. In S. J. Cho (Ed.), The Proceedings of the 12th International Congress on Mathematical Education, Cham, Springer (S. 173–187).
Dewey, J. (1916). Democracy and education. Macmillan.
Dobber, M., Zwart, R., Tanis, M., & van Oers, B. (2017). Literature review: The role of the teacher in inquiry-based education. Educational Research Review, 22, 194–214.CrossRef
Dorier, J., & Maass, K. (2014). Inquiry based mathematics education. In S. Lerman (Hrsg.), Encyclopedia of mathematics education (S. 300–304). Springer.CrossRef
Engelbrecht, J., Borba, M., Llinares, S., & Kaiser, G. (2020). Will 2020 be remembered as the year in which education was changed? ZDM – Mathematics Education, 52(5), 821–824.
English, L. D. (2016). Advancing mathematics education research within a STEM environment. In K. Makar, S. Dole, J. Visnovska, M. Goos, A. Bennison, & K. Fry (Hrsg.), Research in mathematics education in Australasia 2012–2015 (S. 353–371). Springer.CrossRef
Galbraith, P., & Stillman, G. (2001). Assumptions and context: Pursuing their role in modelling activity. In J. F. Matos, W. Blum, K. Houston, & S. P. Carreira (Eds.), Modelling and Mathematics Education, ICTMA 9: Applications in Science and Technology (S 300–310). Horwood Publishing.
Gravemeijer, K. (1999). How emergent models may foster the constitution of formal mathematics. Mathematical Thinking and Learning, 1(2), 155–177.CrossRef
Hansen, N. S., Iversen, C., & Troels-Smith, K. (1996). Modelkompetencer—udvikling og afprøvning af et begrebsapparat. Tekster fra IMFUFA, No. 321. IMFUFA, Roskilde Universitet.
Israel, G. (1996). La Mathématisation du réel: Essai sur la modélisation mathématique. Editions du Seuil.
Kaiser, G. (1995). Realitätsbezüge im Mathematikunterricht—Ein Überblick über die aktuelle und historische Diskussion. In G. Graumann, T. Jahnke, G. Kaiser, & J. Meyer (Eds.), Materialien für einen realitätsbezogenen Mathematikunterricht (Bd. 2, S. 66–84). Franzbecker.
Kaiser, G., Blomhøj, M., & Sriraman, B. (2006). Mathematical modelling in school—Theoretical reflections and empirical research. ZDM—Zentralblatt für Didaktik der Mathematik, 38(2), 82–85.
Kaiser, G., & Maaß, K. (2007). Modelling in lower secondary mathematics classroom—problems and opportunities. In W. Blum, P. Galbraith, H.-W. Henn & M. Niss (Eds.), Modelling and applications in mathematics education (pp. 99–108). Springer, Boston, MA.
Kaiser, G., & Grünewald, S. (2015). Promotion of mathematical modelling competencies in the context of modelling projects. In L. N. Hoe & N. K. E. Dawn (Eds.), Mathematical modelling. From theory to practice (S. 21–39). World Scientific.
Kaiser, G., & König, J. (2019). Competence measurement in (mathematics) teacher education and beyond: Implications for policy. Higher Education Policy, 32, 597–615.CrossRef
Kaiser, G., & Schwarz, B. (2010). Authentic modelling problems in mathematics education—examples and experiences. Journal für Mathematik-Didaktik, 31(1), 51–76.CrossRef
Kaiser, G., Schwarz, B., & Buchholz, N. (2011). Authentic modelling problems in mathematics education. In G. Kaiser, W. Blum, R. B. Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling: ICTMA14 (S. 591–602). Springer Science & Business Media.
Kaiser, G., & Sriraman, B. (2006). A global survey of international perspectives on modelling in mathematics education. ZDM—Zentralblatt für Didaktik der Mathematik, 38(3), 302–310.
Kaiser-Messmer, G. (1986). Anwendungen im Mathematikunterricht. Band 1: Theoretische Konzeption. Band 2: Empirische Untersuchungen. Bad Salzdetfurth: Franzbecker.
Kaiser-Messmer, G. (1993). Results of an empirical study into gender differences in attitudes towards mathematics. Educational studies in Mathematics, 25(3), 209–233.CrossRef
Krainer, K. (2005). What is “good” mathematics teaching, and how can research inform practice and policy? [Editorial]. Journal of Mathematics Teacher Education, 8(1), 75–81.CrossRef
Krainer, K., Zehetmeier, S., Hanfstingl, B., Rauch, F., & Tscheinig, T. (2018). Insights into scaling up a nation-wide learning and teaching initiative on various levels. Educational Studies in Mathematics, 102(3), 395–415.CrossRef
Lesh, R. A., English, L. D., Riggs, C., & Sevis, S. (2013). Problem solving in the primary school (K-2). The Mathematics Enthusiast, 10(1&2), 35–60.CrossRef
Lesh, R., Hoover, M., Hole, B., Kelly, A., & Post, T. (2000). Principles for developing thought-revealing activities for students and teachers. In A. Kelly & R. Lesh (Hrsg.), Handbook of research design in mathematics and science education (S. 591–646). Lawrence Erlbaum.
Maass, K. (2004). Mathematisches Modellieren im Unterricht—Ergebnisse einer empirischen Studie. Verlag Franzbecker.
Maass, K. (2007). Modelling in class: What do we want students to learn. In C. Haines, P. Galbraith, W. Blum, & S. Khan (Hrsg.), Mathematical modelling—Education, engineering and economics (S. 63–78). Horwood Limited Publishing.CrossRef
Maass, K. (2010). Classification scheme for modelling tasks. ZDM – Mathematics Education, 31(2), 285–311.
Maass, K., & Artigue, M. (2013). Implementation of inquiry-based learning in day-to-day teaching: A synthesis. ZDM – Mathematics Education, 45(6), 779–795.
Maass, K., Cobb, P., Krainer, K., & Potari, D. (2019a). Different ways to implement innovative teaching approaches at scale. Educational Studies in Mathematics, 102(3), 303–318.CrossRef
Maass, K., & Mischo, C. (2011). Implementing modelling into day-to-day teaching practice—The project STRATUM and its framework. Journal für Mathematik-Didaktik, 32(1), 103–131.CrossRef
Mischo, C., & Maass, K. (2013). Which personal factors affect mathematical modelling? The effect of abilities, domain specific and cross domain-competences and beliefs on performance in mathematical modelling. Journal of Mathematical Modelling and Application, 1(7), 3–19.
Nelson, T. H., & Slavit, D. (2007). Collaborative inquiry among science and mathematics teachers in the USA: Professional learning experiences through cross-grade, cross-discipline dialogue. Journal of In-service Education, 33(1), 23–39.CrossRef
Niss, M. (2010). Modeling a crucial aspect of students’ mathematical modeling. In R. Lesh, P. Galbraith, C. R. Haines, & A. Hurford (Eds.), Modeling students’ mathematical competencies (pp. 43–59). Springer.
Niss, M., & Blum, W. (2020). The learning and teaching of mathematical modelling. Routledge.CrossRef
Niss, M., Blum, W., & Galbraith, P. (2007). Introduction. In W. Blum, P. L. Galbraith, H.-W. Henn, & M. Niss (Hrsg.), Modelling and applications in mathematics education (S. 3–32). Springer.CrossRef
Potari, D., Psycharis, G., Spiliotopoulou, V., Triantafillou, C., Zachariades, T., & Zoupa, A. (2016). Mathematics and science teachers’ collaboration: Searching for common grounds. In C. Csikos, A. Rausch, & J. Szitanyi (Eds.), Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education, Szeged, Hungary: PME, (Vol. 4, S. 91–98).
Rhodes, T., & Lancaster, K. (2020). Mathematical models as public troubles in COVID-19 infection control. Health Sociology Review, 29(2), 177–194.
Roux, S. (2011). Pour une étude des formes de la mathématisation. In H. Chabot & S. Roux (Eds.), La mathématisation comme problème (S. 3–38). Editions des Archives Contemporaines.
Schukajlow, S., Kaiser, G., & Stillman, G. (2018). Empirical research on teaching and learning of mathematical modelling: A survey on the current-state-of-the-art. ZDM – Mathematics Education, 50(1–2), 5–18.
Stender, P., & Kaiser, G. (2015). Scaffolding in complex modelling situations. ZDM – Mathematics Education, 47(7), 1255–1267.
Stillman, G. A., Kaiser, G., & Lampen, C. E. (Hrsg.). (2020). Mathematical modelling and sense-making. Springer.
Triantafillou, C., Psycharis, G., Potari, D., Bakogianni, D., & Spiliotopoulou, V. (2021). Teacher Educators’ Activity Aiming to Support Inquiry through Mathematics and Science Teacher Collaboration. International Journal of Science and Mathematics Education, 19(2), 1–17.
Vorhölter, K., Kaiser, G., & Borromeo Ferri, R. (2014). Modelling in mathematics classroom instruction: An innovative approach for transforming mathematics education. In Y. Li, E. A. Silver, & S. Li (Hrsg.), Transforming Mathematics Instruction (S. 21–36). Springer.
Willke, H. (1999). Systemtheorie II: Interventionstheorie (3. Aufl.). Lucius & Lucius UTB.
Metadaten
Titel
Mathematical modelling – a key to citizenship education
verfasst von
Katja Maass
Michèle Artigue
Hugh Burkhardt
Michiel Doorman
Lyn D. English
Vincent Geiger
Konrad Krainer
Despina Potari
Alan Schoenfeld
Copyright-Jahr
2022
Buch
Initiationen mathematikdidaktischer Forschung

Print ISBN: 978-3-658-36765-7

Electronic ISBN: 978-3-658-36766-4

Copyright-Jahr: 2022

DOI
https://doi.org/10.1007/978-3-658-36766-4_2