Blum, Werner
Mathematical Modelling and Applications
1. Crossing Boundaries in Mathematical Modelling and Applications Educational Research and Practice
Gloria Ann Stillman, Werner Blum, Gabriele Kaiser
Part I. New Approaches in Research, Teaching and Practice from Crossing Boundaries
2. Mathematical Modelling with Increasing Learning Aids: A Video Study
Deike S. Alfke
3. Modelling with Statistical Data: Characterisation of Student Models
Àngels Aymerich, Núria Gorgorió, Lluís Albarracín
4. How Teachers Can Promote Mathematising by Means of Mathematical City Walks
Nils Buchholtz
5. L’Hospital’s Weight Problem: Testing the Boundaries Between Mathematics and Physics and Between Application and Modelling
France Caron, Kathleen Pineau
6. Representations of Modelling in Mathematics Education
Helen M. Doerr, Jonas B. Ärlebäck, Morten Misfeldt
7. The Primacy of ‘Noticing’: A Key to Successful Modelling
Peter Galbraith, Gloria Ann Stillman, Jill P. Brown
8. Combining Models Related to Data Distribution Through Productive Experimentation
Takashi Kawakami
9. Reconciling Intuitions and Conventional Knowledge: The Challenge of Teaching and Learning Mathematical Modelling
Azita Manouchehri, Stephen T. Lewis
10. A Modelling Perspective in Designing Teacher Professional Learning Communities
Nicholas Mousoulides, Marilena Nicolaidou, Maria Evagorou
11. Mathematical Modelling and Proof by Recurrence: An Analysis from a Wittgensteinian Perspective
Bárbara Nilvada Palharini, Emerson Tortola, Lourdes Maria Werle Almeida
12. Quality Criteria for Mathematical Models in Relation to Models’ Purposes: Their Usefulness in Engineering Education
Jacob Perrenet, Bert Zwaneveld, Kees Overveld, Tijn Borghuis
13. Ethnomodelling as the Mathematization of Cultural Practices
Milton Rosa, Daniel Clark Orey
14. Enabling Anticipation Through Visualisation in Mathematising Real-World Problems in a Flipped Classroom
Gloria Ann Stillman
15. Measuring Metacognitive Modelling Competencies
Katrin Vorhölter
Part II. Researching Boundaries in Mathematical Modelling Education
16. The Mathematical Modelling Competencies Required for Solving Engineering Statics Assignments
Burkhard Alpers
17. Pre-service Teachers’ Levels of Reflectivity After Mathematical Modelling Activities with High School Students
Rita Borromeo Ferri
18. Context and Understanding: The Case of Linear Models
Jill P. Brown
19. Difficulties in Teaching Modelling: A French-Spanish Exploration
Richard Cabassut, Irene Ferrando
20. How Students Connect Mathematical Models to Descriptions of Real-World Situations
Dirk Bock, Nele Veracx, Wim Dooren
21. Mathematical Modelling Strategies and Attitudes of Third Year Pre-service Teachers
Rina Durandt, Gerrie J. Jacobs
22. Exploring the Notion of Mathematical Literacy in Curricula Documents
Peter Frejd, Vincent Geiger
23. Design and Implementation of a Tool for Analysing Student Products When They Solve Fermi Problems
César Gallart, Irene Ferrando, Lluís M. García-Raffi, Lluís Albarracín, Núria Gorgorió
24. Implementing Modelling into Classrooms: Results of an Empirical Research Study
Jana Kreckler
25. A Commognitive Perspective on Pre-service Secondary Teachers’ Content Knowledge in Mathematical Modelling
Joo Young Park
26. Mathematics Teachers’ Learning at the Boundaries of Teaching and Workplace
Giorgos Psycharis, Despina Potari
27. Case Study of Pre-service Teacher Education for Mathematical Modelling and Applications Connecting Paintings with Mathematics
Akihiko Saeki, Masafumi Kaneko, Daisuke Saito
28. Inquiry and Modelling in a Real Archaeological Context
Gemma Sala Sebastià, Vicenç Font Moll, Joaquim Giménez Rodríguez, Berta Barquero Farràs
29. Students’ Overreliance on Linearity in Economic Applications: A State of the Art
Daam Reeth, Dirk Bock
Part III. Pedagogical Issues for Teachers and Teacher Educators Using Mathematical Modelling and Applications
30. Teaching Modelling and Systemic Change
Hugh Burkhardt, Malcolm Swan
31. Mathematical Modelling as a Professional Activity: Lessons for the Classroom
Peter Frejd
32. Modelling Task Design: Science Teachers’ View
Carolina Guerrero-Ortiz, Jaime Mena-Lorca
33. Modelling as Interactive Translations Among Plural Worlds: Experimental Teaching Using the Night-Time Problem
Toshikazu Ikeda, Max Stephens
34. The Dual Modelling Cycle Framework: Report on an Australian Study
Janeen Lamb, Akio Matsuzaki, Akihiko Saeki, Takashi Kawakami
35. Implementing Mathematical Modelling: The Challenge of Teacher Educating
Azita Manouchehri
36. The Velocity Concept: The History of Its Modelling Development
Regina Dorothea Moeller
37. Developing a Mathematical Modelling Task for All Students
Edel Reilly
38. The Hidden Benefits of Mathematical Modelling for Students with Disabilities
Rina Scott-Wilson, Dirk C. J. Wessels, Helena M. Wessels, Estelle Swart
39. Scaffolding Complex Modelling Processes: An In-Depth Study
Peter Stender, Nadine Krosanke, Gabriele Kaiser
40. Long-Term Development of How Students Interpret a Model: Complementarity of Contexts and Mathematics
Pauline Vos, Gerrit Roorda
41. Exploring Aspects of Creativity in Mathematical Modelling
Helena M. Wessels
42. Mathematical Modelling in Dutch Textbooks: Is It Genuine Mathematical Modelling?
Bert Zwaneveld, Jacob Perrenet, Kees Overveld, Tijn Borghuis
Part IV. Influences of Technologies on Modelling and Applications
43. Initial Results of an Intervention Using a Mobile Game App to Simulate a Pandemic Outbreak
Peter Frejd, Jonas B. Ärlebäck
44. Modelling and Simulation with the Help of Digital Tools
Gilbert Greefrath, Hans-Stefan Siller
45. Mathematical Modelling for Engineering Diploma Students: Perspectives on Visualisation
Hanti Kotze, Gerrie J. Jacobs, Erica D. Spangenberg
46. Interactive Diagrams Used for Collaborative Learning Concerning Mathematical Models of Motion
Elena Naftaliev
47. Using Modelling and Tablets in the Classroom to Learn Quadratic Functions
Miriam Ortega, Luis Puig
48. Mathematical Modelling in a Long-Distance Teacher Education in Brazil: Democratizing Mathematics
Daniel Clark Orey, Milton Rosa
Part V. Assessment of Mathematical Modelling in Schools
49. Six Principles to Assess Modelling Abilities of Students Working in Groups
Piera Biccard, Dirk Wessels
50. Assessing Mathematizing Competences Through Multiple-Choice Tasks: Using Students’ Response Processes to Investigate Task Validity
Brikena Djepaxhija, Pauline Vos, Anne Berit Fuglestad
Part VI. Applicability at Different Levels of Schooling
51. How to Build a Hydrogen Refuelling Station Infrastructure in Germany: An Interdisciplinary Project Approach for Mathematics Classrooms
Irene Grafenhofer, Hans-Stefan Siller
52. Authentic Mathematical Modelling Experiences of Upper Secondary School: A Case Study
Kerri Spooner
53. Erratum
Gloria Ann Stillman, Werner Blum, Gabriele Kaiser
Keywords: Education, Mathematics Education, Learning & Instruction, Teaching and Teacher Education, Educational Technology
- Editor
- Blum, Werner
- Kaiser, Gabriele
- Stillman, Gloria Ann
- Publisher
- Springer
- Publication year
- 2017
- Language
- en
- Edition
- 1
- Series
- International Perspectives on the Teaching and Learning of Mathematical Modelling
- Page amount
- 11 pages
- Category
- Upbringing, Education
- Format
- Ebook
- eISBN (PDF)
- 9783319629681
- Printed ISBN
- 978-3-319-62967-4