Lines of Inquiry in Mathematical Modelling Research in Education

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. It contributes to the theory, research and teaching practice concerning this key topic by taking into account the importance of relations between mathematics and the real world. Further, the book addresses the “balancing act” between developing students’ modelling skills on the one hand, and using modelling to help them learn mathematics on the other, which arises from the integration of modelling into classrooms.

The contributions, prepared by authors from 9 countries, reflect the spectrum of international debates on the topic, and the examples presented span schooling from years 1 to 12, teacher education, and teaching modelling at the tertiary level. In addition the book highlights professional learning and development for in-service teachers, particularly in systems where the introduction of modelling into curricula means reassessing how mathematics is taught. Given its scope, the book will appeal to researchers and teacher educators in mathematics education, as well as pre-service teachers and school and university educators

Preface

Contents

Chapter 1        State of the Art on Mathematical Modelling in Mathematics Education – Lines of Inquiry

Gloria A. Stillman

Chapter 2        Towards a Framework for a Dialectical Relationship between Pedagogical Practice and Research

Jussara de Loiola Araújo

Chapter 3        Interplay between Research and Development of Teaching Practices in Mathematical Modelling

Morten Blomhöj

Chapter 4        Establishing the Construct: Task Context

                         Jill Brown

Chapter 5        Approaches to Investigating Complex Dynamical Systems

France Caron and Miroslav Lovric                

Chapter 6        Precision, Priorities, and Proxies in Mathematical Modelling

Jennifer Czocher

Chapter 7        A Modelling Perspective on Students’ Reasoning: From a Mathematical Model to a Motion Model

                        Angeles Dominguez and Jorge de la Garza

Elizabeth W. Fulton, Megan H. Wickstrom, Elizabeth A. Burroughs, and Mary Alice Carlson

Chapter 9        Assessing Sub-Competencies of Mathematical Modelling with the Help of Item Response Theory – Presentation of a New Test Instrument

Corinna Hertleif, Catharina Adamek and Gilbert Greefrath

Chapter 10      The Influence of Technology on the Mathematical Modelling of Physical Phenomena

Miriam Ortega and Luis Puig

Juhaina Awawdeh Shahbari  and Michal Tabach

Chapter 12      Heuristic Strategies in Modelling Problems

Peter Stender

Dung Tran, An Nguyen, Duyen Nguyen, Giang-Nguyen T. Nguyen and Phuong Ta

Chapter 14      Children with Mathematical Difficulties Cope with Modelling Tasks: The Case of Sami

Ibtisam Abedelhalek Zubi and Irit Peled

Chapter 15      Data modelling

                        Djorde Kadijevich

Chapter 16      Conclusions and Future Lines of Inquiry in Mathematical Modelling Research in Education

                        Toshikazu Ikeda and Jill Brown

Refereeing process & reviewers

Index