Mathematical Modelling Education and Sense-making

Front Matter ....Pages i-xi
 Helena Wessels: Her “Life Story”  (Dirk Wessels)....Pages 1-14
 Sense-Making in Mathematical Modelling and Applications Educational Research and Practice  (Gloria Ann Stillman, Gabriele Kaiser, Erna Lampen)....Pages 15-29
Front Matter ....Pages 31-31
 Connections of Science Capital and the Teaching and Learning of Mathematical Modelling: An Introduction  (Pauline Vos, Paul Hernandez-Martinez, Peter Frejd)....Pages 33-38
 Teachers’ Possibilities to Generate Science Capital for Modelling  (Peter Frejd)....Pages 39-49
 Science Capital, Habitus, and Mathematical Modelling Practices in the Field of University Education  (Paul Hernandez-Martinez)....Pages 51-61
 On Science Museums, Science Capital, and the Public Understanding of Mathematical Modelling  (Pauline Vos)....Pages 63-73
 Investigating the Complexity of Student Modelling by Coordinating a Diversity of Research Perspectives  (Corey Brady, Jeffrey A. McLean, Hyunyi Jung, Aran W. Glancy, Angeles Dominguez)....Pages 75-84
 Mapping Shifting Discourses in Classroom Talk Through Indexical Discourse Analysis: From the World of Mathematics to the World of Work  (Stephen T. Lewis, Azita Manouchehri)....Pages 85-94
 Joy of Mathematical Modelling: A Forgotten Perspective?  (Yuriy Rogovchenko, Olov Viirman, Stephanie Treffert-Thomas)....Pages 95-106
 Resignifying Function Concept: A Mixed Methods Study to Understand the Contributions of the Dialogic Approach of Ethnomodelling  (Milton Rosa, Daniel Clark Orey, Diego Pereira de Oliveira Cortes)....Pages 107-116
Front Matter ....Pages 117-117
 Sense-making with the Mathematical Modelling Process: Developing a Framework for Faculty Practice  (Todd Abel, Mary Elizabeth Searcy, Tracie Mc Lemore Salinas)....Pages 119-128
 Mathematical Modelling with a Solution Plan: An Intervention Study About the Development of Grade 9 Students’ Modelling Competencies  (Catharina Beckschulte)....Pages 129-138
 A Case Study of Tensions and Challenges Arising as a Swedish Upper Secondary Teacher Designs and Implements a Model Development Sequence on Statistics  (Jonas Bergman Ärlebäck)....Pages 139-150
 Year 6 Students’ Gradual Identification of Mathematical Models of Average Speed When Making Sense of ‘Walking’  (Takashi Kawakami, Shigekazu Komeda, Akihiko Saeki)....Pages 151-162
 A Time-Based Measurement of the Intensity of Difficulties in the Modelling Process  (Heiner Klock, Hans-Stefan Siller)....Pages 163-173
 Deepening and Expanding Mathematical Models of Speed in Relation to Walking: The Case of Year 8 Students  (Shigekazu Komeda, Takashi Kawakami, Masafumi Kaneko, Takashi Yamaguchi)....Pages 175-185
 Facilitating Modelling Activities in a Grade 5 Classroom  (Azita Manouchehri, Mehmet Bekdemir, Xiangquan Yao)....Pages 187-197
 Mathematical Modelling as a Learning Environment to Transform a Street Activity into a Sport Practice  (Daniel Clark Orey, Milton Rosa, Rogério Braga Soares)....Pages 199-207
 Concurrent Development of Engineering Technician and Mathematical Modelling Competencies  (Lidamari de Villiers, Dirk Wessels)....Pages 209-219
Front Matter ....Pages 221-221
 Sense-making in Modelling Tasks: What Can We Learn from Other Domains?  (Piera Biccard)....Pages 223-236
 The Deployment of Mathematics in Areas Other than Those Normally Associated with Mathematical Modelling and the Applications of Mathematics  (Cyril Julie)....Pages 237-251
 Rising to the Challenge: Promoting Mathematical Modelling as Real-World Problem Solving  (Peter Galbraith, Derek Holton, Ross Turner)....Pages 253-263
 Mathematics Trails and Learning Barriers  (Iwan Gurjanow, Matthias Ludwig)....Pages 265-275
 Validating with the Use of Dynamic Geometry Software  (Corinna Hankeln)....Pages 277-286
 Using a Mathematical Modelling Activity to Assist Students to Make Sense of a Limit Theorem in Trigonometry  (Toshikazu Ikeda, Max Stephens)....Pages 287-298
 Exploring Habits and Habitus of Biomedical Students with Modelling Tasks  (Hanti Kotze)....Pages 299-309
 Metacognitive Strategies in Group Work in Mathematical Modelling Activities – The Students’ Perspective  (Alexandra Krüger, Katrin Vorhölter, Gabriele Kaiser)....Pages 311-321
 Fostering Students’ Construction of Meaningfulness of Mathematics with Mathematical Modelling Problems  (Katrin Vorhölter, Björn Schwarz)....Pages 323-333
 Teachers’ Perspectives on Students’ Metacognitive Strategies during Mathematical Modelling Processes – A Case Study  (Lisa Wendt, Katrin Vorhölter, Gabriele Kaiser)....Pages 335-346
Front Matter ....Pages 347-347
 Cognitive Diagnostic Modelling for Mathematical Modelling Assessment  (Cigdem Alagoz, Celil Ekici)....Pages 349-359
 Occurrences of Mathematical Modelling Competencies in the Nationally Set Examination for Mathematical Literacy in South Africa  (Mbulelo Bali, Cyril Julie, Monde Mbekwa)....Pages 361-370
 Expectations for Challenge in Modelling and Its Assessment  (Jill P. Brown)....Pages 371-381
 Modelling Tasks in Central Examinations Based on the Example of Austria  (Hans-Stefan Siller, Gilbert Greefrath)....Pages 383-392
Front Matter ....Pages 393-393
 Characterising Modelling Competency in Students’ Projects: Experiences from a Natural Science Bachelor Program  (Morten Blomhøj)....Pages 395-405
 From Royaumont to Lyon: Applications and Modelling During the 1960s  (Dirk De Bock, Bert Zwaneveld)....Pages 407-417
 Interactive Case Practice Teaching on Mathematical Modelling Course  (Xiaojun Duan, Dan Wang, Mengda Wu)....Pages 419-429
 Pre-service Teachers’ Sense-making of Mathematical Modelling Through a Design-Based Research Strategy  (Rina Durandt, Geoffrey V. Lautenbach)....Pages 431-441
 Mathematical Modelling: A ‘Growing Tree’ for Creative and Flexible Thinking in Pre-service Mathematics Teachers  (Rajendran Govender)....Pages 443-453
 The Design of a Successful Teacher Training to Promote Interdisciplinary STEM Modelling Projects  (Jean-Marie Lantau, Martin Bracke, Wolfgang Bock, Patrick Capraro)....Pages 455-465
 Using Mathematical Modelling in the Teaching and Learning of Mathematical Literacy: Perspectives on the South African Context  (Duncan Mhakure)....Pages 467-477
 A Lecturer’s Learning Goals for Teaching Mathematical Modelling  (Kerri Spooner)....Pages 479-489
Front Matter ....Pages 491-491
 Embodied Phenomenology in Mathematical Modelling of Sailing for Integrated STEM Learning  (Celil Ekici, Cigdem Alagoz)....Pages 493-504
 Algebra Students Build Stock/Flow Models to Study Non-linear, Dynamic Feedback System Problems  (Diana M. Fisher)....Pages 505-514
Back Matter ....Pages 515-521