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
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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.