Trends in Teaching and Learning of Mathematical Modelling: ICTMA14

Front Matter....Pages i-xiii
Trends in Teaching and Learning of Mathematical Modelling – Preface....Pages 1-5
Front Matter....Pages 7-7
Modelling from Primary to Upper Secondary School: Findings of Empirical Research – Overview....Pages 9-14
Can Modelling Be Taught and Learnt? Some Answers from Empirical Research....Pages 15-30
“Can Modelling Be Taught and Learnt?” – A Commentary....Pages 31-35
Upper Secondary Students’ Handling of Real-World Contexts....Pages 37-46
Word Problem Classification: A Promising Modelling Task at the Elementary Level....Pages 47-55
Understanding and Promoting Mathematical Modelling Competencies: An Applied Perspective....Pages 57-64
Secondary Teachers’ Beliefs About Teaching Applications – Design and Selected Results of a Qualitative Case Study....Pages 65-74
Secondary Teachers’ Beliefs on Modelling in Geometry and Stochastics....Pages 75-84
Examining Mathematising Activities in Modelling Tasks with a Hidden Mathematical Character....Pages 85-95
The Sun Hour Project....Pages 97-106
Mathematical Knowledge Application and Student Difficulties in a Design-Based Interdisciplinary Project....Pages 107-116
Evaluation of Teaching Activities with Multi-Variable Functions in Context....Pages 117-126
Mathematical Modelling in Secondary Education: A Case Study....Pages 127-135
Students Overcoming Blockages While Building a Mathematical Model: Exploring a Framework....Pages 137-146
What Did Taiwan Mathematics Teachers Think of Model-Eliciting Activities and Modelling Teaching?....Pages 147-156
Front Matter....Pages 157-157
Looking Deeper into Modelling Processes: Studies with a Cognitive Perspective – Overview....Pages 159-163
Applying Metacognitive Knowledge and Strategies in Applications and Modelling Tasks at Secondary School....Pages 165-180
Effective Mathematical Modelling without Blockages – A Commentary....Pages 181-185
Modelling Tasks: Insight into Mathematical Understanding....Pages 187-197
Front Matter....Pages 157-157
Mathematical Modelling of Daily Life in Adult Education: Focusing on the Notion of Knowledge....Pages 199-209
Students’ Modelling Routes in the Context of Object Manipulation and Experimentation in Mathematics....Pages 211-220
Engineering Model Eliciting Activities for Elementary School Students....Pages 221-230
Project Modelling Routes in 12–16-Year-Old Pupils....Pages 231-240
Front Matter....Pages 241-241
Mathematical Modelling in Teacher Education – Overview....Pages 243-246
Models and Modelling Perspectives on Teaching and Learning Mathematics in the Twenty-First Century....Pages 247-268
Mathematical Modelling in a Distance Course for Teachers....Pages 269-278
In-Service and Prospective Teachers’ Views About Modelling Tasks in the Mathematics Classroom – Results of a Quantitative Empirical Study....Pages 279-288
Pre-service Secondary Mathematics Teachers’ Affinity with Using Modelling Tasks in Teaching Years 8–10....Pages 289-298
Front Matter....Pages 299-299
Using Technologies: New Possibilities of Teaching and Learning Modelling – Overview....Pages 301-304
Factors Affecting Teachers’ Adoption of Innovative Practices with Technology and Mathematical Modelling....Pages 305-314
Modelling Considering the Influence of Technology....Pages 315-329
Improving Learning in Science and Mathematics with Exploratory and Interactive Computational Modelling....Pages 331-339
Front Matter....Pages 341-341
Modelling Competency: Teaching, Learning and Assessing Competencies – Overview....Pages 343-347
Drivers for Mathematical Modelling: Pragmatism in Practice....Pages 349-365
Identifying Drivers for Mathematical Modelling – A Commentary....Pages 367-373
Documenting the Development of Modelling Competencies of Grade 7 Mathematics Students....Pages 375-383
Students’ Reflections in Mathematical Modelling Projects....Pages 385-395
From Data to Functions: Connecting Modelling Competencies and Statistical Literacy....Pages 397-406
First Results from a Study Investigating Swedish Upper Secondary Students’ Mathematical Modelling Competencies....Pages 407-416
Front Matter....Pages 341-341
Why Cats Happen to Fall from the Sky or on Good and Bad Models....Pages 417-426
Assessing Modelling Competencies Using a Multidimensional IRT Approach....Pages 427-437
Front Matter....Pages 439-439
Modelling in Tertiary Education – Overview....Pages 441-444
The Mathematical Expertise of Mechanical Engineers: Taking and Processing Measurements....Pages 445-456
Mathematical Modelling Skills and Creative Thinking Levels: An Experimental Study....Pages 457-466
Modelling the Evolution of the Belgian Population Using Matrices, Eigenvalues and Eigenvectors....Pages 467-477
Modelling and the Educational Challenge in Industrial Mathematics....Pages 479-488
Modelling of Infectious Disease with Biomathematics: Implications for Teaching and Research....Pages 489-498
Using Response Analysis Mapping to Display Modellers’ Mathematical Modelling Progress....Pages 499-508
Front Matter....Pages 509-509
Modelling Examples and Modelling Projects – Overview....Pages 511-517
Modelling Chemical Equilibrium in School Mathematics with Technology....Pages 519-528
Real-World Modelling in Regular Lessons: A Long-Term Experiment....Pages 529-549
Modelling Tasks at the Internet Portal “Program for Gifted”....Pages 551-558
Modelling at Primary School Through a French–German Comparison of Curricula and Textbooks....Pages 559-568
Modifying Teachers’ Practices: The Case of a European Training Course on Modelling and Applications....Pages 569-578
Google’s PageRank: A Present-Day Application of Mathematics in the Classroom....Pages 579-589
Authentic Modelling Problems in Mathematics Education....Pages 591-601
Using Modelling Experiences to Develop Japanese Senior High School Students’ Awareness of the Interrelations between Mathematics and Science....Pages 603-615
Stochastic Case Problems for the Secondary Classroom with Reliability Theory....Pages 617-627
LEMA – Professional Development of Teachers in Relation to Mathematical Modelling....Pages 629-639
Front Matter....Pages 509-509
Modelling in the Classroom: Obstacles from the Teacher’s Perspective....Pages 641-651
Teachers’ Professional Learning: Modelling at the Boundaries....Pages 653-662
Front Matter....Pages 663-663
Theoretical and Curricular Reflections on Mathematical Modelling – Overview....Pages 665-668
Making Connections Between Modelling and Constructing Mathematics Knowledge: An Historical Perspective....Pages 669-678
Practical Knowledge of Research Mathematicians, Scientists, and Engineers About the Teaching of Modelling....Pages 679-688
Evolution of Applications and Modelling in a Senior Secondary Curriculum....Pages 689-699
Sense of Reality Through Mathematical Modelling....Pages 701-711
What Is ‘Authentic’ in the Teaching and Learning of Mathematical Modelling?....Pages 713-722
Back Matter....Pages 727-732