Teaching Mathematical Modelling: Connecting to Research and Practice

1. Mathematical Modelling: Connecting to Teaching and Research Practices – The Impact of Globalisation
Gloria Ann Stillman, Gabriele Kaiser, Werner Blum, Jill P. Brown

Part I. Innovative Practices in Modelling Education Research and Teaching

2. From Conference to Community: An ICTMA Journey—The Ken Houston Inaugural Lecture

Peter Galbraith

3. Modelling from the Perspective of Commognition – An Emerging Framework
Jonas Bergman Ärlebäck, Peter Frejd

4. Should Interpretation Systems Be Considered to Be Models if They Only Function Implicitly?
Rita Borromeo Ferri, Richard Lesh

5. Mathematical Modelling, Mathematical Content and Tensions in Discourses
Andréia Maria Pereira Oliveira, Jonei Cerqueira Barbosa

6. Ethnomodelling as a Methodology for Ethnomathematics
Milton Rosa, Daniel Clark Orey

7. Dual Modelling Cycle Framework for Responding to the Diversities of Modellers
Akihiko Saeki, Akio Matsuzaki

8. The Eyes to See: Theoretical Lenses for Mathematical Modelling Research
Nils Buchholtz

9. Strässer’s Didactic Tetrahedron as a Basis for Theorising Mathematical Modelling Activity Within Social Contexts
Vince Geiger

10. Ethnomodelling as a Research Lens on Ethnomathematics and Modelling
Milton Rosa, Daniel Clark Orey

Part II. Research into, or Evaluation of, Teaching Practice

11. Real-Life Modelling Within a Traditional Curriculum: Lessons from a Singapore Experience
Keng Cheng Ang

12. Students’ Mathematical Learning in Modelling Activities
Morten Blomhøj, Tinne Hoff Kjeldsen

13. Students’ Designing an Ideal Tourism Route as Mathematical Modelling
Chun Ming Eric Chan

14. Comparison of Mathematical Modelling Skills of Secondary and Tertiary Students
Juntao Fu, Jinxing Xie

15. Taking Advantage of Incidental School Events to Engage with the Applications of Mathematics: The Case of Surviving the Reconstruction
Vince Geiger, Merrilyn Goos, Shelley Dole

16. The Development of Modelling Competencies by Year 9 Students: Effects of a Modelling Project
Susanne Grünewald

17. Evidence of a Dual Modelling Cycle: Through a Teaching Practice Example for Pre-service Teachers
Akio Matsuzaki, Akihiko Saeki

18. Considering Multiple Solutions for Modelling Problems – Design and First Results from the MultiMa-Project
Stanislaw Schukajlow, André Krug

19. Challenges in Modelling Challenges: Intents and Purposes
Gloria Ann Stillman, Jill P. Brown, Peter Galbraith

20. Mathematical Modelling of a Real-World Problem: The Decreasing Number of Bluefin Tuna
Akira Yanagimoto, Noboru Yoshimura

21. Mathematical Modelling of a Social Problem: Pension Tax Issues
Noboru Yoshimura, Akira Yanagimoto

Part III. Pedagogical Issues for Teaching and Learning

22. Pedagogical Reflections on the Role of Modelling in Mathematics Instruction
Toshikazu Ikeda

23. Complex Modelling Problems in Co-operative, Self-Directed Learning Environments
Gabriele Kaiser, Peter Stender

24. Inducting Year 6 Students into “A Culture of Mathematising as a Practice”
Jill P. Brown

25. A Whole Week of Modelling – Examples and Experiences of Modelling for Students in Mathematics Education
Nils Buchholtz, Sarah Mesrogli

26. Teachers’ Self-Perceptions of Their Pedagogical Content Knowledge Related to Modelling – An Empirical Study with Austrian Teachers
Sebastian Kuntze, Hans-Stefan Siller, Christiane Vogl

27. A Cross-Sectional Study About Modelling Competency in Secondary School
Matthias Ludwig, Xenia-Rosemarie Reit

28. Teacher Readiness in Mathematical Modelling: Are There Differences Between Pre-service and In-Service Teachers?
Kit Ee Dawn Ng

29. Exploring the Relationship Between Mathematical Modelling and Classroom Discourse
Trevor Redmond, Raymond Brown, Joanne Sheehy

30. The Role of Textbooks in Developing a Socio-critical Perspective on Mathematical Modelling in Secondary Classrooms
Gloria Ann Stillman, Jill P. Brown, Rhonda Faragher, Vince Geiger, Peter Galbraith

31. Pre-service Secondary School Teachers’ Knowledge in Mathematical Modelling – A Case Study
Liang Soon Tan, Keng Cheng Ang

32. How Students Connect Descriptions of Real-World Situations to Mathematical Models in Different Representational Modes
Wim Dooren, Dirk Bock, Lieven Verschaffel

33. Pre-service Teacher Learning for Mathematical Modelling
Mark Winter, Hamsa Venkat

34. Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: Conceptions of Mathematical Modelling
Chun Ming Eric Chan

35. Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: Problem Posing and Task Design
Ngan Hoe Lee

36. Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: A Framework for Facilitation
Kit Ee Dawn Ng

37. Teacher Professional Development on Mathematical Modelling: Initial Perspectives from Singapore
Vince Geiger

Part IV. Influences of Technologies

38. Reality Based Test Tasks with Digital Tools at Lower Secondary
Gilbert Greefrath, Michael Rieß

39. On Comparing Mathematical Models and Pedagogical Learning
Janeen Lamb, Jana Visnovska

Part V. Assessment in Schools

40. Formative Assessment in Everyday Teaching of Mathematical Modelling: Implementation of Written and Oral Feedback to Competency-Oriented Tasks
Michael Besser, Werner Blum, Malte Klimczak

41. Assessment of Modelling in Mathematics Examination Papers: Ready-Made Models and Reproductive Mathematising
Pauline Vos

Part VI. Applicability at Different Levels of Schooling, Vocational Education, and in Tertiary Education

42. Complex Modelling in the Primary and Middle School Years: An Interdisciplinary Approach
Lyn D. English

43. Modelling in Brazilian Mathematics Teacher Education Courses
Maria Salett Biembengut

44. The Development of Mathematical Concept Knowledge and of the Ability to Use This Concept to Create a Model
César Cristóbal-Escalante, Verónica Vargas-Alejo

45. Problem Posing: A Possible Pathway to Mathematical Modelling
Ann Downton

46. A Study of the Effectiveness of Mathematical Modelling of Home Delivery Packaging on Year 12 Students’ Function Education
Tetsushi Kawasaki, Yoshiki Nisawa

47. How to Introduce Mathematical Modelling in Industrial Design Education?
Geert Langereis, Jun Hu, Loe Feijs

48. Rationality of Practice and Mathematical Modelling – On Connections, Conflicts, and Codifications
Lars Mouwitz

49. Extending Model Eliciting Activities (MEAs) Beyond Mathematics Curricula in Universities
Mark Schofield

50. Building Awareness of Mathematical Modelling in Teacher Education: A Case Study in Indonesia
Wanty Widjaja

Part VII. Modelling and Applications in Business and the Lived Environment

51. Mathematics and the Pharmacokinetics of Alcohol
Michael Jennings, Peter Adams

52. Beyond the Modelling Process: An Example to Study the Logistic Model of Customer Lifetime Value in Business Marketing
Issic K. C. Leung

Avainsanat: Education, Mathematics Education, Applications of Mathematics, Learning & Instruction