Table of Contents:
  • Series Preface; Gabriele Kaiser and Gloria Stillman
  • Helena Wessels – Her ‘Life Story’; Dirk Wessels
  • 1. Sense-Making in Mathematical Modelling and Applications Educational Research and Practice; Gloria Stillman, Gabriele Kaiser, and Erna Lampen
  • Part I Innovative Approaches in Modelling Educational Research and Teaching
  • 2. Connections of Science Capital and the Teaching and Learning of Mathematical Modelling - an Introduction; Pauline Vos, Paul Hernandez-Martinez and Peter Frejd
  • 3. Teachers’ Possibilities to Generate Science Capital for Modelling; Peter Frejd
  • 4. Science Capital, Habitus and Mathematical Modelling Practices in the Field of University Education; Paul Hernandez-Martinez
  • 5. On Science Museums, Science Capital and the Public Understanding of Mathematical Modelling; Pauline Vos
  • 6. Working as a Cross-Institutional Collaborator Network to Develop Enhanced Analyses of Learners' Models and Modelling; Corey Brady, Jeffrey A. McLean, Hyunyi Jung, Aran W. Glancy and Ángeles Domínguez
  • 7. Mapping Shifting Discourses in Classroom Talk Through Indexical Discourse Analysis: From the World of Mathematics to the World of Work; Stephen T. Lewis and Azita Manouchehri
  • 8. Joy of Mathematical Modelling: A Forgotten Perspective?; Yuriy Rogovchenko, Olov Viirman and Stephanie Treffert-Thomas
  • 9. Re-Signifying Function Concept: A Mixed Methods Study to Understand the Contributions of the Dialogic Approach of Ethnomodelling; Milton Rosa, Daniel Clark Orey and Diego Pereira de Oliveira Cortes
  • Part II Research into or Evaluation of, Teaching Practice in Mathematical Modelling Education
  • 10. Sense-Making with the Mathematical Modelling Process: Developing a Framework for Faculty Practice; Todd Abel, Mary Elizabeth Searcy and Tracie McLemore Salinas
  • 11. Mathematical Modelling with a Solution Plan – An Intervention Study about the Development of Grade 9 Students’ Modelling Competencies; Catharina Adamek
  • 12. A case study of the tensions and challenges arising as an upper secondary teacher designs and implements a model development sequence on statistics; Jonas Bergman Ärlebäck
  • 13. Year 6 Students’ Gradual Identification of Mathematical Models of Average Speed when Making Sense of ‘Walking’; Takashi Kawakami, Shigekazu Komeda and Akihiko Saeki
  • 14. A Time-Based Measurement of the Intensity of Difficulties in the Modelling Process; Heiner Klock and Hans-Stefan Siller
  • 15. Deepening and Expanding Mathematical Models of Speed in Relation to Walking: The Case of Year 8 Students; Shigekazu Komeda, Takashi Kawakami, Masafumi Kaneko and Takashi Yamaguchi
  • 16. Facilitating Modelling Activities in a Grade 5 Classroom; Azita Manouchehri, Mehmet Bekdemir and Xiangquan Yao
  • 17. Mathematical Modelling as a Learning Environment to Transform a Street Activity into a Sport Practice; Daniel Clark Orey, Milton Rosa and Rogério Braga Soares
  • 18. Co-development of engineering technician and mathematical modelling competencies; Lidamaride Villiers and Dirk Wessels
  • Part III Pedagogical Issues for Teachers and Teacher Educators Using Mathematical Modelling and Applications
  • 19. Sensemaking in Modelling Tasks - What Can We Learn From Other Domains?; Piera Biccard
  • 20. The Deployment of Mathematics in Areas other than Those Normally Associated with Mathematical Modelling and the Applications of Mathematics; Cyril Julie
  • 21. Rising to the Challenge: Promoting Mathematical Modelling as Real-World Problem Solving; Peter Galbraith, Derek Holton and Ross Turner
  • 22. Mathematics Trails and Learning Barriers; Iwan Gurjanow and Matthias Ludwig
  • 23. Validating with the Use of a Dynamic Geometry Software; Corinna Hankeln
  • 24. Using a Mathematical Modelling Activity to Assist Students to Make Sense of a Limit Theorem in Trigonometry; Toshikazu Ikeda and Max Stephens
  • 25. Exploring Habits and Habitus of Biomedical Students with Modelling Tasks; Hanti Kotze
  • 26. Metacognitive Strategies in Group Work in Mathematical Modelling Activities – the Students’ Perspective; Alexandra Krüger, Katrin Vorhölter and Gabriele Kaiser
  • 27. Fostering Students´ Construction of Meaningfulness of Mathematics with Mathematical Modelling Problems; Katrin Vorhölter and Björn Schwarz
  • 28. Teachers’ Perspectives on Students’ Metacognitive Strategies During Mathematical Modelling Processes – a Case Study; Lisa Wendt, Katrin Vorhölter and Gabriele Kaiser
  • Part IV Assessment of Mathematical Modelling in Schools
  • 29. Cognitive Diagnostic Modelling for Mathematical Modeling Assessment; Cigdem Alagoz and Celil Ekici
  • 30. Occurrences of Mathematical Modelling Competencies in the Nationally-set Examination for Mathematical Literacy in South Africa; Mbulelo Bali, Cyril Julie, and Monde Mbekwa
  • 31. Expectations for Challenge in Modelling and its Assessment; Jill Brown
  • 32. Modelling Tasks in Central Examinations Based on the Example of Austria; Hans-Stefan Siller and Gilbert Greefrath
  • Part V Applicability at Different Levels ofSchooling and University
  • 33. Characterising Modelling Competency in Students’ Projects: Experiences from a Natural Science Bachelor Program; Morten Blomhøj
  • 34. From Royaumont to Lyon: Applications and Modelling During the Sixties; Dirk De Bock and Bert Zwaneveld
  • 35. Interactive Case Practice Teaching on Mathematical Modelling Course; Xiaojun Duan, Dan Wang and Mengda Wu
  • 36. Pre-service Teachers’ Sense Making of Mathematical Modelling through a Design-Based Research Strategy; Rina Durandt and Geoffrey V. Lautenbach
  • 37. Mathematical Modelling: A ‘Growing Tree’ for Creative and Flexible Thinking in Pre-service Mathematics Teachers; Rajendran Govender
  • 38. Implementation of teacher trainings to promote action orientated and interdisciplinary modeling projects; Jean-Marie Lantau, Martin Bracke, Wolfgang Bock, and Patrick Capraro
  • 39. Using Mathematical Modelling in the Teaching and Learning of Mathematical Literacy: Perspectives on the South African Context; Duncan Mhakure
  • 40A Lecturer’s View on Teaching Mathematical Modelling; Kerri Spooner
  • Part VI Examples of Modelling and Applications in Practice
  • 41. Embodied Phenomenology in Mathematical Modeling of Sailing for Integrated STEM Learning; Celil Ekici and Cigdem Alagoz
  • 42. Algebra Students Build Stock/Flow Models to Study Non-linear, Dynamic, Feedback System Problems; Diana M. Fisher
  • Index.