Series Preface, Gabriele Kaiser and Gloria Stillman.- Chapter 1 Cultural, Social, Cognitive and Research Influences on Mathematical Modelling Education: Perspectives and Future Prospects, Gloria Stillman, Werner Blum, and Maria Salett Biembengut.- Part I Innovative Practices in Modelling Education Research and Teaching.- Chapter 2 Mathematical Modelling as a Strategy for Building-up Systems of Knowledge in Different Cultural Environments, Ubiratan D'Ambrosio.- Chapter 3 The Meaning of the Problem in a Mathematical Modelling Activity, Lourdes Maria Werle de Almeida and Karina Alessandra Pessoa da Silva.- Chapter 4 Extending the Reach of the Models and Modelling Perspective: A Course-Sized Research Site, Corey Brady, Richard Lesh and Serife Sevis.- Chapter 5 Prescriptive Modelling - Challenges and Opportunities, Mogens Niss.- Chapter 6 An Approach to Theory Based Modelling Tasks, Xenia-Rosemary Reit and Matthias Ludwig.- Chapter 7 Facilitating Mathematisation in Modelling by Beginning Modellers in Secondary School, Gloria Ann Stillman, Jill P. Brown and Vince Geiger.- Chapter 8 Authenticity in extra-curricular mathematics activities; researching authenticity as a social construct, Pauline Vos.- Chapter 9 The Teaching Goal and Oriented Learning of Mathematical Modelling courses, Mengda Wu, Dan Wang and Xiaojun Duan.- Part II Research into, or Evaluation of, Teaching and Learning.- Chapter 10 Modelling Competencies-Past Development and Further Perspectives, Gabriele Kaiser and Susanne Brand.- Chapter 11 How to Support Teachers to Give Feedback to Modelling Tasks Effectively? Results from a Teacher-Training-Study in the Co2CA Project, Michael Besser, Werner Blum and Dominik Leiss.- Chapter 12 A Reflection on Mathematical Modelling and Applications as a Field of Research: Theoretical Orientation and Diversity, Vince Geiger and Peter Frejd.- Chapter 13 Problem Solving Methods for Mathematical Modelling, Gilbert Greefrath.- Chapter 14 Improving Mathematical Modelling by Fostering Measurement Sense: An Intervention Study with Pre-service Mathematics Teachers, Maike Hagena.- Chapter 15 How do Students Share and Refine Models through Dual Modelling Teaching: The Case of Students who do not Solve Independently, Takashi Kawakami, Akihiko Saeki and Akio Matsuzaki.- Chapter 16 Exploring Interconnections between Real-World and Application Tasks: Case Study from Singapore, Dawn Ng and Gloria Ann Stillman.- Chapter 17 Mathematical Modelling Tasks and the Mathematical Thinking of Students, Bárbara Nilvada Palharini, Alvim Sousa Robim and Lourdes Maria Werle de Almeida.- Chapter 18 Measurement of Area and Volume in an Authentic Context: An Alternative Learning Experience through Mathematical Modelling, Santiago Manuel Rivera Quiroz, Sandra Milena Londoño Orrego and Carlos Mario Jaramillo López.- Chapter 19 Mathematical Modelling and Culture - An Empirical Study, Jhony Alexander Villa-Ocha and Mario J. Berrío.- Chapter 20 Mathematical Modelling of a Social Problem in Japan: The Income and Expenditure of an Electric Power Company, Noboru Yoshimura.- Part III Pedagogical Issues for Teaching and Learning.- Chapter 21 The Place of Mathematical Modelling in the System of Mathematics Education: Perspective and Prospect, Henry O.Pollak.- Chapter 22 Moving within a Mathematical Modelling Map, Rita Borromeo Ferri.- Chapter 23 Negotiating the Use of Mathematics in a Mathematical Modelling Project, Jussara de Loiola Araújo and Ilaine da Silva Campos.- Chapter 24 Moving Beyond a Single Modelling Activity, Jonas B Ärlebäck and Helen M. Doerr.- Chapter 25 The Possibility of Interdisciplinary Integration through Mathematical Modelling of Optical Phenomena, Jennifer Barboza, Luana Bassani, Luciano Lewandoski, and Lucilaine Abitante.- Chapter 26 Activation of Student Prior Knowledge to Build Linear Models in the Context of Modelling Pre-paid Electricity Consumption, José Luis Bossio Vélez, Sandra Milena Londoño Orrego,