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Mathematical Applications and Modelling in the Teaching and Learning of Mathematics

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Mathematical Applications and Modelling in the Teaching and Learning of Mathematics Proceedings from Topic Study Group 21 at the 11th International Congress on Mathematical Education in Monterrey, Mexico. Editors: Morten Blomhøj , NSM, Roskilde University, Denmark and Susana Carreira , University of Algave, Portugal . This is an other great mathematics book cover the following topics of Differential Equations.

  • Theme 1: Different perspectives on mathematical modelling in educational research

  • Different perspectives in research on the teaching and learning mathematical modelling – Categorising the TSG21 papers *
    Morten Blomhøj

  • Differential equations as a tool for mathematical modelling in physics and mathematics courses – A study of high school textbooks and the modelling processes of senior high students *
    Ruth Rodríguez Gallegos

  • Mathematical modelling: From Classroom to the real world Denise Helena Lombardo Ferreira & Otavio Roberto Jacobini On the development of mathematical modelling competencies – The PALMA longitudinal study *
    Rudolf vom Hofe, Alexander Jordan, Thomas Hafner, Pascal Stölting, Werner Blum & Reinhard Pekrun

  • The teachers’ tensions in mathematical modelling practice
    Andréia Maria Pereira de Oliveira & Jonei Cerqueira Barbosa

  • Teaching to reinforced bonds between modelling and reflecting *
    Mette Andresen

  • Applying pastoral metamatism or re-applying grounded mathematics
    Allan Tarp

  • A ‘new’ type of diagram to support functional modelling – PROGRAPH diagrams
    Hans-Stefan Siller

  • Mathematical models in the context of sciences *
    Patrica Camarena Gallardo

  • Mathematical modelling, the socio-critical perspective and the reflexive discussions *
    Jonei Cerqueira Barbosa

  • Mathematical modelling and environmental education
    Ademir Donizeti Caldeira

  • Mathematical models in the secondary Chilean education
    María D. Aravena & Carlos E. Caamaño

  • Theme 2: Challenges in international collaboration on the teaching of mathematical modelling

  • Challenges with international collaboration regarding teaching of mathematical modelling *
    Thomas Lingefjärd

  • A comparative study on mathematical modelling competences with German and Chinese students.*
    Matthias Ludwig & Binyan Xu

  • Mathematical modelling in a European context – A European network-project.* Stefanie Meier

  • Theme 3: Didactical reflections on the teaching of mathematical modelling

  • Didactical reflections on the teaching of mathematical modelling – Suggestions from concepts of “time” and “place” *
    Toshikazu Ikeda

  • Formatting real data in mathematical modelling projects *
    Jussara de Loiola Araújo

  • Simple spreadsheet modelling by first-year business undergraduate students: Difficulties in the transition from real world problem statement to mathematical model *
    Djordje Kadijevich

  • *) Papers presented orally during the TSG21 sessions at ICME-11.

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