Mathematical Modelling Education and Sense-making International Perspectives on the Teaching and Learning of Mathematical Modelling 1st edition by Gloria Ann Stillman, Gabriele Kaiser, Christine Erna Lampen ISBN 3030376753 978-3030376758

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ISBN 10: 3030376753 
ISBN 13:‎  978-3030376758
Author: Gloria Ann Stillman , Gabriele Kaiser , Christine Erna Lampen

This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people’s everyday lives as well as sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for cultivating sense making in classroom settings. This book focuses on the educational perspective, researching the complexities encountered in effective teaching and learning of real world modelling and applications for sense making is only beginning. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.

Mathematical Modelling Education and Sense-making (International Perspectives on the Teaching and Learning of Mathematical Modelling) 1st Table of contents:

1. Helena Wessels: Her “Life Story”

2. Sense-Making in Mathematical Modelling and Applications Educational Research and Practice

Part I. Innovative Approaches in Modelling Educational Research and Teaching

3. Connections of Science Capital and the Teaching and Learning of Mathematical Modelling: An Introduction

4. Teachers’ Possibilities to Generate Science Capital for Modelling

5. Science Capital, Habitus, and Mathematical Modelling Practices in the Field of University Education

6. On Science Museums, Science Capital, and the Public Understanding of Mathematical Modelling

7. Investigating the Complexity of Student Modelling by Coordinating a Diversity of Research Perspectives

8. Mapping Shifting Discourses in Classroom Talk Through Indexical Discourse Analysis: From the World of Mathematics to the World of Work

9. Joy of Mathematical Modelling: A Forgotten Perspective?

10. Resignifying Function Concept: A Mixed Methods Study to Understand the Contributions of the Dialogic Approach of Ethnomodelling

Part II. Research into or Evaluation of, Teaching Practice in Mathematical Modelling Education

11. Sense-making with the Mathematical Modelling Process: Developing a Framework for Faculty Practice

12. Mathematical Modelling with a Solution Plan: An Intervention Study About the Development of Grade 9 Students’ Modelling Competencies

13. A Case Study of Tensions and Challenges Arising as a Swedish Upper Secondary Teacher Designs and Implements a Model Development Sequence on Statistics

14. Year 6 Students’ Gradual Identification of Mathematical Models of Average Speed When Making Sense of ‘Walking’

15. A Time-Based Measurement of the Intensity of Difficulties in the Modelling Process

16. Deepening and Expanding Mathematical Models of Speed in Relation to Walking: The Case of Year 8 Students

17. Facilitating Modelling Activities in a Grade 5 Classroom

18. Mathematical Modelling as a Learning Environment to Transform a Street Activity into a Sport Practice

19. Concurrent Development of Engineering Technician and Mathematical Modelling Competencies

Part III. Pedagogical Issues for Teachers and Teacher Educators Using Mathematical Modelling and Applications

20. Sense-making in Modelling Tasks: What Can We Learn from Other Domains?

21. The Deployment of Mathematics in Areas Other than Those Normally Associated with Mathematical Modelling and the Applications of Mathematics

22. Rising to the Challenge: Promoting Mathematical Modelling as Real-World Problem Solving

23. Mathematics Trails and Learning Barriers

24. Validating with the Use of Dynamic Geometry Software

25. Using a Mathematical Modelling Activity to Assist Students to Make Sense of a Limit Theorem in Trigonometry

26. Exploring Habits and Habitus of Biomedical Students with Modelling Tasks

27. Metacognitive Strategies in Group Work in Mathematical Modelling Activities – The Students’ Perspective

28. Fostering Students’ Construction of Meaningfulness of Mathematics with Mathematical Modelling Problems

29. Teachers’ Perspectives on Students’ Metacognitive Strategies during Mathematical Modelling Processes – A Case Study

Part IV. Assessment of Mathematical Modelling in Schools

30. Cognitive Diagnostic Modelling for Mathematical Modelling Assessment

31. Occurrences of Mathematical Modelling Competencies in the Nationally Set Examination for Mathematical Literacy in South Africa

32. Expectations for Challenge in Modelling and Its Assessment

33. Modelling Tasks in Central Examinations Based on the Example of Austria

Part V. Applicability at Different Levels of Schooling and University

34. Characterising Modelling Competency in Students’ Projects: Experiences from a Natural Science Bachelor Program

35. From Royaumont to Lyon: Applications and Modelling During the 1960s

36. Interactive Case Practice Teaching on Mathematical Modelling Course

37. Pre-service Teachers’ Sense-making of Mathematical Modelling Through a Design-Based Research Strategy

38. Mathematical Modelling: A ‘Growing Tree’ for Creative and Flexible Thinking in Pre-service Mathematics Teachers

39. The Design of a Successful Teacher Training to Promote Interdisciplinary STEM Modelling Projects

40. Using Mathematical Modelling in the Teaching and Learning of Mathematical Literacy: Perspectives on the South African Context

41. A Lecturer’s Learning Goals for Teaching Mathematical Modelling

Part VI. Examples of Modelling and Applications in Practice

42. Embodied Phenomenology in Mathematical Modelling of Sailing for Integrated STEM Learning

43. Algebra Students Build Stock/Flow Models to Study Non-linear, Dynamic Feedback System Pro

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