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Trends in Teaching and Learning of Mathematical Modelling

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Table of Contents

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    Book Overview
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    Chapter 1 Trends in Teaching and Learning of Mathematical Modelling – Preface
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    Chapter 2 Modelling from Primary to Upper Secondary School: Findings of Empirical Research – Overview
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    Chapter 3 Can Modelling Be Taught and Learnt? Some Answers from Empirical Research
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    Chapter 4 “Can Modelling Be Taught and Learnt?” – A Commentary
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    Chapter 5 Upper Secondary Students’ Handling of Real-World Contexts
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    Chapter 6 Word Problem Classification: A Promising Modelling Task at the Elementary Level
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    Chapter 7 Understanding and Promoting Mathematical Modelling Competencies: An Applied Perspective
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    Chapter 8 Secondary Teachers’ Beliefs About Teaching Applications – Design and Selected Results of a Qualitative Case Study
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    Chapter 9 Secondary Teachers’ Beliefs on Modelling in Geometry and Stochastics
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    Chapter 10 Examining Mathematising Activities in Modelling Tasks with a Hidden Mathematical Character
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    Chapter 11 The Sun Hour Project
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    Chapter 12 Mathematical Knowledge Application and Student Difficulties in a Design-Based Interdisciplinary Project
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    Chapter 13 Evaluation of Teaching Activities with Multi-Variable Functions in Context
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    Chapter 14 Mathematical Modelling in Secondary Education: A Case Study
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    Chapter 15 Students Overcoming Blockages While Building a Mathematical Model: Exploring a Framework
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    Chapter 16 What Did Taiwan Mathematics Teachers Think of Model-Eliciting Activities and Modelling Teaching?
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    Chapter 17 Looking Deeper into Modelling Processes: Studies with a Cognitive Perspective – Overview
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    Chapter 18 Applying Metacognitive Knowledge and Strategies in Applications and Modelling Tasks at Secondary School
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    Chapter 19 Effective Mathematical Modelling without Blockages – A Commentary
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    Chapter 20 Modelling Tasks: Insight into Mathematical Understanding
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    Chapter 21 Mathematical Modelling of Daily Life in Adult Education: Focusing on the Notion of Knowledge
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    Chapter 22 Students’ Modelling Routes in the Context of Object Manipulation and Experimentation in Mathematics
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    Chapter 23 Engineering Model Eliciting Activities for Elementary School Students
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    Chapter 24 Project Modelling Routes in 12–16-Year-Old Pupils
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    Chapter 25 Mathematical Modelling in Teacher Education – Overview
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    Chapter 26 Models and Modelling Perspectives on Teaching and Learning Mathematics in the Twenty-First Century
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    Chapter 27 Mathematical Modelling in a Distance Course for Teachers
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    Chapter 28 In-Service and Prospective Teachers’ Views About Modelling Tasks in the Mathematics Classroom – Results of a Quantitative Empirical Study
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    Chapter 29 Pre-service Secondary Mathematics Teachers’ Affinity with Using Modelling Tasks in Teaching Years 8–10
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    Chapter 30 Using Technologies: New Possibilities of Teaching and Learning Modelling – Overview
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    Chapter 31 Factors Affecting Teachers’ Adoption of Innovative Practices with Technology and Mathematical Modelling
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    Chapter 32 Modelling Considering the Influence of Technology
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    Chapter 33 Improving Learning in Science and Mathematics with Exploratory and Interactive Computational Modelling
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    Chapter 34 Modelling Competency: Teaching, Learning and Assessing Competencies – Overview
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    Chapter 35 Drivers for Mathematical Modelling: Pragmatism in Practice
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    Chapter 36 Identifying Drivers for Mathematical Modelling – A Commentary
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    Chapter 37 Documenting the Development of Modelling Competencies of Grade 7 Mathematics Students
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    Chapter 38 Students’ Reflections in Mathematical Modelling Projects
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    Chapter 39 From Data to Functions: Connecting Modelling Competencies and Statistical Literacy
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    Chapter 40 First Results from a Study Investigating Swedish Upper Secondary Students’ Mathematical Modelling Competencies
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    Chapter 41 Why Cats Happen to Fall from the Sky or on Good and Bad Models
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    Chapter 42 Assessing Modelling Competencies Using a Multidimensional IRT Approach
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    Chapter 43 Modelling in Tertiary Education – Overview
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    Chapter 44 The Mathematical Expertise of Mechanical Engineers: Taking and Processing Measurements
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    Chapter 45 Mathematical Modelling Skills and Creative Thinking Levels: An Experimental Study
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    Chapter 46 Modelling the Evolution of the Belgian Population Using Matrices, Eigenvalues and Eigenvectors
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    Chapter 47 Modelling and the Educational Challenge in Industrial Mathematics
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    Chapter 48 Modelling of Infectious Disease with Biomathematics: Implications for Teaching and Research
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    Chapter 49 Using Response Analysis Mapping to Display Modellers’ Mathematical Modelling Progress
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    Chapter 50 Modelling Examples and Modelling Projects – Overview
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    Chapter 51 Modelling Chemical Equilibrium in School Mathematics with Technology
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    Chapter 52 Real-World Modelling in Regular Lessons: A Long-Term Experiment
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    Chapter 53 Modelling Tasks at the Internet Portal “Program for Gifted”
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    Chapter 54 Modelling at Primary School Through a French–German Comparison of Curricula and Textbooks
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    Chapter 55 Modifying Teachers’ Practices: The Case of a European Training Course on Modelling and Applications
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    Chapter 56 Google’s PageRank: A Present-Day Application of Mathematics in the Classroom
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    Chapter 57 Authentic Modelling Problems in Mathematics Education
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    Chapter 58 Using Modelling Experiences to Develop Japanese Senior High School Students’ Awareness of the Interrelations between Mathematics and Science
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    Chapter 59 Stochastic Case Problems for the Secondary Classroom with Reliability Theory
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    Chapter 60 LEMA – Professional Development of Teachers in Relation to Mathematical Modelling
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    Chapter 61 Modelling in the Classroom: Obstacles from the Teacher’s Perspective
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    Chapter 62 Teachers’ Professional Learning: Modelling at the Boundaries
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    Chapter 63 Theoretical and Curricular Reflections on Mathematical Modelling – Overview
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    Chapter 64 Making Connections Between Modelling and Constructing Mathematics Knowledge: An Historical Perspective
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    Chapter 65 Practical Knowledge of Research Mathematicians, Scientists, and Engineers About the Teaching of Modelling
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    Chapter 66 Evolution of Applications and Modelling in a Senior Secondary Curriculum
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    Chapter 67 Sense of Reality Through Mathematical Modelling
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    Chapter 68 What Is ‘Authentic’ in the Teaching and Learning of Mathematical Modelling?
Overall attention for this book and its chapters
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Title
Trends in Teaching and Learning of Mathematical Modelling
Published by
Springer Netherlands, June 2011
DOI 10.1007/978-94-007-0910-2
ISBNs
978-9-40-070909-6, 978-9-40-070910-2
Editors

Kaiser, Gabriele, Blum, Werner, Borromeo Ferri, Rita, Stillman, Gloria