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1 Trends in Teaching and Learning of Mathematical Modelling --- Preface |
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1 | (8) |
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PART I Modelling from Primary to Upper Secondary School: Findings of Empirical Research |
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2 Modelling from Primary to Upper Secondary School: Findings of Empirical Research - Overview |
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9 | (6) |
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3 Can Modelling Be Taught and Learnt? Some Answers from Empirical Research |
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15 | (16) |
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4 Can Modelling Be Taught and Learnt? - A Commentary |
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31 | (6) |
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5 Upper Secondary Students' Handling of Real-World Contexts |
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37 | (10) |
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6 Word Problem Classification: A Promising Modelling Task at the Elementary Level |
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47 | (10) |
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7 Understanding and Promoting Mathematical Modelling Competencies: An Applied Perspective |
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57 | (8) |
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8 Secondary Teachers' Beliefs About Teaching Applications - Design and Selected Results of a Qualitative Case Study |
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65 | (10) |
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9 Secondary Teachers' Beliefs on Modelling in Geometry and Stochastics |
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75 | (10) |
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10 Examining Mathematising Activities in Modelling Tasks with a Hidden Mathematical Character |
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85 | (12) |
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97 | (10) |
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12 Mathematical Knowledge Application and Student Difficulties in a Design-Based Interdisciplinary Project |
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107 | (10) |
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13 Evaluation of Teaching Activities with Multi-Variable Functions in Context |
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117 | (10) |
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14 Mathematical Modelling in Secondary Education: A Case Study |
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127 | (10) |
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15 Students Overcoming Blockages While Building A Mathematical Model: Exploring A Framework |
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137 | (10) |
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16 What Did Taiwan Mathematics Teachers Think of Model-Eliciting Activities And Modelling Teaching? |
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147 | (12) |
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PART II Looking Deeper into Modelling Processes: Studies with a Cognitive Perspective |
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17 Looking Deeper into Modelling Processes: Studies with a Cognitive Perspective - Overview |
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159 | (6) |
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18 Applying Metacognitive Knowledge and Strategies in Applications and Modelling Tasks at Secondary School |
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165 | (16) |
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19 Effective Mathematical Modelling without Blockages - A Commentary |
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181 | (6) |
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20 Modelling Tasks: Insight into Mathematical Understanding |
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187 | (12) |
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21 Mathematical Modelling of Daily Life in Adult Education: Focusing on the Notion of Knowledge |
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199 | (12) |
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22 Students' Modelling Routes in the Context of Object Manipulation and Experimentation in Mathematics |
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211 | (10) |
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23 Engineering Model Eliciting Activities for Elementary School Students |
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221 | (10) |
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24 Project Modelling Routes in 12 to 16-Year-Old Pupils |
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231 | (12) |
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PART III Mathematical Modelling in Teacher Education |
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25 Mathematical Modelling in Teacher Education - Overview |
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243 | (4) |
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26 Models and Modelling Perspectives on Teaching and Learning Mathematics in the Twenty-First Century |
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247 | (22) |
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27 Mathematical Modelling in a Distance Course for Teachers |
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269 | (10) |
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Thais Mariane Biembengut Faria |
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28 In-Service and Prospective Teachers' Views About Modelling Tasks in the Mathematics Classroom - Results of a Quantitative Empirical Study |
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279 | (10) |
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29 Pre-service Secondary Mathematics Teachers' Affinity with Using Modelling Tasks in Teaching Years 8--10 |
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289 | (12) |
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PART IV Using Technologies: New Possibilities of Teaching and Learning Modelling |
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30 Using Technologies: New Possibilities of Teaching and Learning Modelling - Overview |
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301 | (4) |
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31 Factors Affecting Teachers' Adoption of Innovative Practices with Technology and Mathematical Modelling |
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305 | (10) |
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32 Modelling Considering the Influence of Technology |
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315 | (16) |
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33 Improving Learning in Science and Mathematics with Exploratory and Interactive Computational Modelling |
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331 | (12) |
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PART V Modelling Competency: Teaching, Learning and Assessing Competencies |
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34 Modelling Competency: Teaching, Learning and Assessing Competencies - Overview |
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343 | (6) |
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35 Drivers for Mathematical Modelling: Pragmatism in Practice |
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349 | (18) |
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36 Identifying Drivers for Mathematical Modelling- A Commentary |
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367 | (8) |
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37 Documenting the Development of Modelling Competencies of Grade 7 Mathematics Students |
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375 | (10) |
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38 Students' Reflections in Mathematical Modelling Projects |
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385 | (12) |
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39 From Data to Functions: Connecting Modelling Competencies and Statistical Literacy |
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397 | (10) |
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40 First Results from a Study Investigating Swedish Upper Secondary Students' Mathematical Modelling Competencies |
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407 | (10) |
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41 Why Cats Happen to Fall from the Sky or On Good and Bad Models |
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417 | (10) |
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42 Assessing Modelling Competencies Using a Multidimensional IRT-Approach |
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427 | (14) |
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PART VI Modelling in Tertiary Education |
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43 Modelling in Tertiary Education - Overview |
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441 | (4) |
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44 The Mathematical Expertise of Mechanical Engineers: Taking and Processing Measurements |
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445 | (12) |
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45 Mathematical Modelling Skills and Creative Thinking Levels: An Experimental Study |
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457 | (10) |
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46 Modelling the Evolution of the Belgian Population Using Matrices, Eigenvalues and Eigenvectors |
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467 | (12) |
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47 Modelling and the Educational Challenge in Industrial Mathematics |
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479 | (10) |
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48 Modelling of Infectious Disease with Biomathematics: Implications for Teaching and Research |
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489 | (10) |
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49 Using Response Analysis Mapping to Display Modellers' Mathematical Modelling Progress |
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499 | (12) |
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PART VII Modelling Examples and Modelling Projects: Concrete Cases |
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50 Modelling Examples and Modelling Projects - Overview |
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511 | (8) |
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51 Modelling Chemical Equilibrium in School Mathematics with Technology |
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519 | (10) |
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52 Real-World Modelling in Regular Lessons: A Long-Term Experiment |
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529 | (22) |
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53 Modelling Tasks at the Internet Portal "Program for Gifted" |
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551 | (8) |
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54 Modelling at Primary School Through a French-German Comparison of Curricula and Textbooks |
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559 | (10) |
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55 Modifying Teachers' Practices: The Case of a European Training Course on Modelling and Applications |
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569 | (10) |
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56 Google's PageRank - A Present: Day Application of Mathematics in Classroom |
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579 | (12) |
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57 Authentic Modelling Problems in Mathematics Education |
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591 | (12) |
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58 Using Modelling Experiences to Develop Japanese Senior High School Students' Awareness of the Interrelations Between Mathematics and Science |
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603 | (14) |
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59 Stochastic Case Problems for the Secondary Classroom with Reliability Theory |
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617 | (12) |
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60 LEMA - Professional Development of Teachers in Relation to Mathematical Modelling |
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629 | (12) |
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61 Modelling in the Classroom: Obstacles from the Teacher's Perspective |
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641 | (12) |
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62 Teachers' Professional Learning: Modelling at the Boundaries |
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653 | (12) |
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PART VIII Theoretical and Curricular Reflections on Mathematical Modelling |
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63 Theoretical and Curricular Reflections on Mathematical Modelling - Overview |
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665 | (4) |
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64 Making Connections Between Modelling and Constructing Mathematics Knowledge: An Historical Perspective |
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669 | (10) |
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65 Practical Knowledge of Research Mathematicians, Scientists and Engineers About the Teaching of Modelling |
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679 | (10) |
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66 Evolution of Applications and Modelling in a Senior Secondary Curriculum |
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689 | (12) |
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67 Sense of Reality Through Mathematical Modelling |
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701 | (12) |
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Jhony Alexander Villa-Ochoa |
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Carlos Maria Jaramillo Lopez |
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68 What Is `Authentic' in the Teaching and Learning of Mathematical Modelling? |
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713 | (10) |
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| Corresponding Authors |
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723 | (4) |
| Index |
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727 | |
