Teaching Mathematical Modelling: Connecting to Research and Practice

Front Matter....Pages i-xvi
Mathematical Modelling: Connecting to Teaching and Research Practices – The Impact of Globalisation....Pages 1-24
Front Matter....Pages 25-25
From Conference to Community: An ICTMA Journey— The Ken Houston Inaugural Lecture ....Pages 27-45
Modelling from the Perspective of Commognition – An Emerging Framework....Pages 47-56
Should Interpretation Systems Be Considered to Be Models if They Only Function Implicitly?....Pages 57-66
Mathematical Modelling, Mathematical Content and Tensions in Discourses....Pages 67-76
Ethnomodelling as a Methodology for Ethnomathematics....Pages 77-88
Dual Modelling Cycle Framework for Responding to the Diversities of Modellers....Pages 89-99
The Eyes to See: Theoretical Lenses for Mathematical Modelling Research....Pages 101-106
Strässer’s Didactic Tetrahedron as a Basis for Theorising Mathematical Modelling Activity Within Social Contexts....Pages 107-116
Ethnomodelling as a Research Lens on Ethnomathematics and Modelling....Pages 117-127
Front Matter....Pages 129-129
Real-Life Modelling Within a Traditional Curriculum: Lessons from a Singapore Experience....Pages 131-140
Students’ Mathematical Learning in Modelling Activities....Pages 141-151
Students’ Designing an Ideal Tourism Route as Mathematical Modelling....Pages 153-163
Comparison of Mathematical Modelling Skills of Secondary and Tertiary Students....Pages 165-173
Taking Advantage of Incidental School Events to Engage with the Applications of Mathematics: The Case of Surviving the Reconstruction....Pages 175-184
The Development of Modelling Competencies by Year 9 Students: Effects of a Modelling Project....Pages 185-194
Evidence of a Dual Modelling Cycle: Through a Teaching Practice Example for Pre-service Teachers....Pages 195-205
Considering Multiple Solutions for Modelling Problems – Design and First Results from the MultiMa-Project....Pages 207-216
Challenges in Modelling Challenges: Intents and Purposes....Pages 217-227
Mathematical Modelling of a Real-World Problem: The Decreasing Number of Bluefin Tuna....Pages 229-239
Front Matter....Pages 129-129
Mathematical Modelling of a Social Problem: Pension Tax Issues....Pages 241-251
Front Matter....Pages 253-253
Pedagogical Reflections on the Role of Modelling in Mathematics Instruction....Pages 255-275
Complex Modelling Problems in Co-operative, Self-Directed Learning Environments....Pages 277-293
Inducting Year 6 Students into “A Culture of Mathematising as a Practice”....Pages 295-305
A Whole Week of Modelling – Examples and Experiences of Modelling for Students in Mathematics Education....Pages 307-316
Teachers’ Self-Perceptions of Their Pedagogical Content Knowledge Related to Modelling – An Empirical Study with Austrian Teachers....Pages 317-326
A Cross-Sectional Study About Modelling Competency in Secondary School....Pages 327-337
Teacher Readiness in Mathematical Modelling: Are There Differences Between Pre-service and In-Service Teachers?....Pages 339-348
Exploring the Relationship Between Mathematical Modelling and Classroom Discourse....Pages 349-360
The Role of Textbooks in Developing a Socio-critical Perspective on Mathematical Modelling in Secondary Classrooms....Pages 361-371
Pre-service Secondary School Teachers’ Knowledge in Mathematical Modelling – A Case Study....Pages 373-383
How Students Connect Descriptions of Real-World Situations to Mathematical Models in Different Representational Modes....Pages 385-393
Pre-service Teacher Learning for Mathematical Modelling....Pages 395-404
Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: Conceptions of Mathematical Modelling....Pages 405-413
Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: Problem Posing and Task Design....Pages 415-425
Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: A Framework for Facilitation....Pages 427-436
Teacher Professional Development on Mathematical Modelling: Initial Perspectives from Singapore....Pages 437-442
Front Matter....Pages 443-443
Reality Based Test Tasks with Digital Tools at Lower Secondary....Pages 445-456
On Comparing Mathematical Models and Pedagogical Learning....Pages 457-466
Front Matter....Pages 467-467
Formative Assessment in Everyday Teaching of Mathematical Modelling: Implementation of Written and Oral Feedback to Competency-Oriented Tasks....Pages 469-478
Front Matter....Pages 467-467
Assessment of Modelling in Mathematics Examination Papers: Ready-Made Models and Reproductive Mathematising....Pages 479-488
Front Matter....Pages 489-489
Complex Modelling in the Primary and Middle School Years: An Interdisciplinary Approach....Pages 491-505
Modelling in Brazilian Mathematics Teacher Education Courses....Pages 507-516
The Development of Mathematical Concept Knowledge and of the Ability to Use This Concept to Create a Model....Pages 517-526
Problem Posing: A Possible Pathway to Mathematical Modelling....Pages 527-536
A Study of the Effectiveness of Mathematical Modelling of Home Delivery Packaging on Year 12 Students’ Function Education....Pages 537-549
How to Introduce Mathematical Modelling in Industrial Design Education?....Pages 551-561
Rationality of Practice and Mathematical Modelling – On Connections, Conflicts, and Codifications....Pages 563-572
Extending Model Eliciting Activities (MEAs) Beyond Mathematics Curricula in Universities....Pages 573-581
Building Awareness of Mathematical Modelling in Teacher Education: A Case Study in Indonesia....Pages 583-593
Front Matter....Pages 595-595
Mathematics and the Pharmacokinetics of Alcohol....Pages 597-606
Beyond the Modelling Process: An Example to Study the Logistic Model of Customer Lifetime Value in Business Marketing....Pages 607-617
Back Matter....Pages 619-627