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This open access book is based on selected presentations from Topic Study Group 21: Mathematical Applications and Modelling in the Teaching and Learning of Mathematics at the 13th International Congress on Mathematical Education (ICME 13), held in Hamburg, Germany on July 24–31, 2016.
Preface.- Chapter 1. State of the Art on Mathematical Modelling in Mathematics Education – Lines of Inquiry.- Chapter 2. Towards a Framework for a Dialectical Relationship between Pedagogical Practice and Research.- Chapter 3. Interplay between Research and Development of Teaching Practices in Mathematical Modelling.- Chapter 4. Establishing the Construct: Task Context.- Chapter 5. Approaches to Investigating Complex Dynamical Systems.- Chapter 6. Precision, Priorities, and Proxies in Mathematical Modelling.- Chapter 7. A Modelling Perspective on Students’ Reasoning: From a Mathematical Model to a Motion Model.- Chapter 8. Teachers as Learners: Understanding and Valuing Mathematical Modelling through Professional Development.- Chapter 9. Assessing Sub-Competencies of Mathematical Modelling with the Help of Item Response Theory – Presentation of a New Test Instrument.- Chapter 10. The Influence ofTechnology on the Mathematical Modelling of Physical Phenomena.- Chapter 11. Adapting a Cognitive Tool for Representing Prospective and Practicing Teachers' Interpretations of Students' Modelling Activities.- Chapter 12. Heuristic Strategies in Modelling Problems.- Chapter 13. The Impact of Task Authenticity on Students’ Mathematical Modelling Process.- Chapter 14. Children with Mathematical Difficulties Cope with Modelling Tasks: The Case of Sami.- Chapter 15. Data modelling.- Chapter 16. Conclusions and Future Lines of Inquiry in Mathematical Modelling Research in Education.- Index.
“I would highly recommend this book for anybody that is involved in mathematics education, as these papers provide a range and scope that can assist both researchers and educators. The unique perspectives brought by each of these articles can greatly help guide future research while also allowing researchers to have a foundation to build upon.” (Deborah Gochenaur, MAA Reviews, May 24, 2020)