## Stillman, Gloria Ann

# Teaching Mathematical Modelling: Connecting to Research and Practice

**Table of contents**

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—

*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*

**Keywords:** Education, Mathematics Education, Applications of Mathematics, Learning & Instruction

- Author(s)
- Stillman, Gloria Ann
- Kaiser, Gabriele
- Blum, Werner
- Brown, Jill P.
- Publisher
- Springer
- Publication year
- 2013
- Language
- en
- Edition
- 2013
- Series
- International Perspectives on the Teaching and Learning of Mathematical Modelling
- Category
- Upbringing, Education
- Format
- Ebook
- eISBN (PDF)
- 9789400765405