Series Preface: Gabriele Kaiser and Gloria Stillman -- Chapter 1: Trends in Teaching and Learning of Mathematical Modelling (ICTMA14) - Preface : Gabriele Kaiser, Werner Blum, Rita Borromeo Ferri, Gloria Stillman -- Part I: Modelling from Primary to Upper Secondary School:  Findings of Empirical Research -- Chapter 2: Modelling from Primary to Upper Secondary School: Findings of Empirical Research - Overview: Thomas Lingefjärd -- Chapter 3:  Can Modelling be Taught and Learnt? Some Answers from Empirical Research: Werner Blum -- Chapter 4: Can Modelling Be Taught and Learnt? - A Commentary: Marcelo C. Borba -- Chapter 5: Upper Secondary Students' Handling of Real-World Contexts: Andreas Busse -- Chapter 6: Word Problem Classification: A Promising Modelling Task at the Elementary Level: Dirk de Bock, Kim Vleugels, and Lieven Verschaffel -- Chapter 7 :  Understanding and Promoting Mathematical Modeling Competencies: An Applied Perspective: George Ekol -- Chapter 8: Secondary Teachers' Beliefs About Teaching Applications - Design and Selected Results of a Qualitative Case Study: Frank Förster -- Chapter 9: Secondary Teachers' Beliefs on Modelling in Geometry and Stochastics: Boris Girnat and Andreas Eichler -- Chapter 10: Examining Mathematising Activities in Modelling Tasks with a Hidden Mathematical Character:Roxana Grigoras, Fco. Javier García, and Stefan Halverscheid -- Chapter 11: The Sun Hour Project: Thomas Lingefjärd and Stephanie Meier -- Chapter 12: Mathematical Knowledge Application and Student Difficulties in a Design-Based Interdisciplinary Project: Kit Ee Dawn Ng -- Chapter 13: Evaluation of Teaching Activities with Multi-Variable Functions in Context: Yoshiki  Nisawa and Seiji Moriya -- Chapter 14: Mathematical Modelling in Secondary Education: A Case Study: José Ortiz and Aldora Dos Santos -- Chapter 15: Students Overcoming Blockages While Building A Mathematical Model: Exploring A Framework : Sanne Schaap, Pauline Vos, and Martin Goedhart -- Chapter 16: What Did Taiwan Mathematics Teachers Think of Model-Eliciting Activities And Modeling Teaching? : Shih-Yi Yu and Ching-Kuch Chang -- Part II: Looking Deeper into Modelling Processes: Studies with a Cognitive Perspective -- Chapter 17: Looking Deeper into Modelling Processes:  Studies with a Cognitive Perspective - Overview: Susana Carreira -- Chapter 18: Applying Metacognitive Knowledge and Strategies in Applications and Modelling Tasks at Secondary School: Gloria Stillman -- Chapter 19: Effective Mathematical Modelling without Blockages - A Reaction on some Theoretical and Practical Ideas - A Commentary -- Rita Borromeo Ferri -- Chapter 20: Modelling Tasks: Insight into Mathematical Understanding: Jill P. Brown and Ian Edwards -- Chapter 21: Mathematical Modelling of Daily Life in Adult Education: Focusing on the Notion of Knowledge: Susana Carreira, Nélia Amado, and Filipa Lecoq -- Chapter 22: Students' Modeling Routes in the Context of Object Manipulation and Experimentation in Mathematics: Susana Carreira and Ana Margarida Baioa -- Chapter 23: Engineering Model Eliciting Activities for Elementary School Students: Nicolas G. Mousoulides and Lyn D. English -- Chapter 24: Project Modelling Routes in 12 to 16-year-old Pupils: Manuel Sol, Joaquin Giménez and Núria Rosich -- Part III: Modelling in Teacher Education -- Chapter 25: Modelling in Teacher Education - Overview: Jill P. Brown -- Chapter 26: Models and Modelling: Perspectives on Teaching and Learning Mathematics for the 21st Century: Helen Doerr and Richard Lesh -- Chapter 27: Mathematical Modelling in a Distance Course for Teachers: Maria Salett Biembengut Hein and Thaís Mariane Biembengut Faria -- Chapter 28: In-service and Prospective Teachers' Views about Modelling Tasks in the Mathematics Classroom - Results of a Quantitative Empirical Study: Sebastian Kuntze -- Chapter 29: Pre-service Secondary Mathematics Teachers' Affinity with using Modelling Tasks in Teaching Years 8-10: Gloria Stillman and Jill P. Brown. Part IV:    Using Technologies: New Possible Ways of Learning and Teaching Modelling -- Chapter 30: Using Technologies: New Possible Ways of Learning and Teaching Modelling - Overview: Gilbert Greefrath -- Chapter 31: Factors Affecting Teachers' Adoption of Innovative Practices with Technology and Mathematical Modelling: Vince Geiger -- Chapter 32: Modelling Considering the Influence of Technology: Gilbert Greefrath, Hans-Stefan Siller, and Jens Weitendorf -- Chapter 33: Improving Learning in Science and Mathematics with Exploratory and Interactive Computational Modelling: Rui Gomes Neves, Jorge Carvalho Silva, and Vítor Duarte Teodoro -- Part V: Modelling Competency: Learning, Applying and Developing Competencies -- Chapter 34: Modelling Competency: Learning, Applying and Developing Competencies - Overview: Morten Blomhøj -- Chapter 35. Drivers for Mathematical Modelling: Pragmatism in Practice: Christopher Haines -- Chapter 36: Identifying Drivers for Mathematical Modelling - A Commentary: Katja Maaß -- Chapter 37: Documenting the Development of Modelling Competencies of Grade 7 Mathematics Students: Piera Biccard and Dirk Wessels -- Chapter 38: Students' Reflections in Mathematical Modelling Projects: Morten Blomhøj and Tinne Hoff Kjeldsen -- Chapter 39: From Data to Functions: Connecting Modeling Competencies and Statistical Literacy: Joachim Engel and Sebastian Kuntze -- Chapter 40: First Results from a Study Investigating Swedish Upper Secondary Students' Mathematical Modelling Competencies: Peter Frejd and Jonas Bergman Ärlebäck -- Chapter 41: Why Cats Happen to Fall From the Sky or On Good and Bad Models: Hans-Wolfgang Henn -- Chapter 42: Assessing Modelling Competencies Using a Multidimensional IRT-Approach: Luzia Zöttl -- Part VI: Modelling in Tertiary Education -- Chapter 43: Modelling in Tertiary Education - Overview : Peter Galbraith -- Chapter 44: The Mathematical Expertise of Mechanical Engineers - Taking and Processing Measurements: Burkhard Alpers -- Chapter 45: Mathematical Modelling Skills and Creative Thinking Levels: An Experimental Study: Qi Dan and Jinxing Xie -- Chapter 46: Modelling the Evolution of the Belgian Population Using Matrices, Eigenvalues and Eigenvectors: Johan Deprez -- Chapter 47: Modelling and the Educational Challenge in Industrial Mathematics: Matti Heilio -- Chapter 48:Modelling of Infectious Disease with Biomathematics: Implications for Teaching and Research: Norbert Gruenwald, Gabriele Sauerbier, Ajit Narayanan, Sergiy Klymchuk, and Tatyana Zverkova -- Chapter 49: Using Response Analysis Mapping to Display Modellers' Mathematical Modelling Progress: Akio Matsuzaki -- Part VII: Modelling Examples and Modelling Projects: Concrete Cases -- Chapter 50: Modelling Examples and Modelling Projects: Concrete Cases - Overview:  Hugh Burkhardt -- Chapter 51: The Mathematical Expertise of Mechanical Engineers - Taking and Processing Measurements: Mette Andresen and Asbjoern Petersen -- Chapter 52: Real-World Modelling in Regular Lessons: A Long-Term Experiment: Martin Bracke and Andreas Geiger -- Chapter 53: Modelling Tasks at the Internet Portal "Program for Gifted": Matthias Brandl -- Chapter 54: Modelling at Primary School Through a French-German Comparison of Curricula and Textbooks: Richard Cabassut and Anke Wagner -- Chapter 55: Modifying Teachers' Practices: The Case of a European Training Course on Modelling and Applications: Javier García and Luisa Ruiz-Higueras -- Chapter 56: Google's PageRank - A Present Day Application of Mathematics in Classroom: Hans Humenberger -- Chapter 57:  Authentic Modelling Problems in Mathematics Education:      Gabriele Kaiser, Björn Schwarz, and Nils Buchholtz -- Chapter 58: Using Modelling Experiences to Develop Japanese Senior High School Students' Awareness of the Interrelations between Mathematics and Science: Tetsushi Kawasaki and Seiji Moriya -- Chapter 59: Stochastic Case Problems for the Secondary Classroom with Reliability Theory : Usha Kotelawala -- Chapter 60: LEMA - Professional Development of Teachers in Relation to Mathematical Modelling: atja Maaß and Johannes Gurlitt -- Chapter 61: Modelling in the Classroom - Obstacles from the Teacher's Perspective: Barbara Schmidt -- Chapter 62: Teachers' Professional Learning: Modelling at the Boundaries: Geoff Wake -- Part VIII: Theoretical and Curricular Reflections on Modelling -- Chapter 63: Theoretical and

Curricular Reflections on Modelling - Overview: Pauline Vos -- Chapter 64: Making Connections between Modelling and Constructing Mathematics Knowledge: An Historical Perspective: Toshikazu Ikeda and Max Stephens -- Chapter 65: Practical Knowledge of Research Mathematicians, Scientists and Engineers about the Teaching of Modelling: Jeroen Spandaw -- Chapter 66: Evolution of Applications and Modelling in a Senior Secondary Curriculum: Gloria Stillman and Peter Galbraith -- Chapter 67: Sense of Reality Through Mathematical Modeling: Jhony A.Villa-Ochoa and Carlos M. Jaramillo L -- Chapter 68: What is 'Authentic' in the Teaching and Learning of Mathematical Modelling?: Pauline Vos.