Mathematical Modelling and Applications -

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Résumé :
Series Preface, Gabriele Kaiser and Gloria Stillman.- Boundary Crossings in Mathematical Modelling and Applications Educational Research and Practice, Gloria Stillman, Werner Blum, and Gabriele Kaiser.- Part I New Approaches in Research, Teaching and Practice from Crossing Boundaries.- Mathematical Modelling with Increasing Learning Aids - A Video Study, Deike S. Alfke (n?e J?tting).- Modelling with Statistical Data: Characterisation of Student Models, ?ngels Aymerich, N?ria Gorgori?, and Llu?s Albarrac?n.- How Teachers Can Promote Mathematising by Means of Mathematical City Walks, Nils Buchholtz.- L'Hospital's Weight Problem: Testing the Boundaries between Mathematics and Physics, between Application and Modelling, France Caron and Kathleen Pineau. Representations of Modelling in Mathematics Education, Helen M. Doerr, Jonas B. ?rleb?ck and Morten Misfeldt.- The Primacy of 'Noticing': a Key to Successful Modelling, Peter Galbraith, Gloria Ann Stillman and Jill P. Brown.- Combining Models Related to Data Distribution through Productive Experimentation, Takashi Kawakami.- Reconciling Intuitions and Conventional Knowledge: The Challenge of Teaching and Learning Mathematical Modelling, Azita Manouchehri and Stephen T. Lewis.- ????? A Modelling Perspective in Designing Teacher Professional Learning Communities, Nicholas Mousoulides, Marilena Nicolaidou, and Maria Evagorou.- Mathematical Modelling and Proof by Recurrence: an Analysis from a Wittgensteinian Perspective, B?rbara Palharini, Emerson Tortola and Lourdes Maria Werle de Almeida.- Quality Criteria for Mathematical Models in Relation to Models' Purposes - Their Usefulness in Engineering Education, Jacob Perrenet, Bert Zwaneveld, Kees van Overveld and Tijn Borghuis.- Ethnomodelling as the Mathematization of Cultural Practices, Milton Rosa and Daniel Clark Orey.- Enabling Anticipation through Visualisation in Mathematising Real World Problems in a Flipped Classroom, Gloria Ann Stillman.- Measuring Metacognitive Modelling Competencies, Katrin Vorh?lter.- Part II Researching Boundaries in Mathematical Modelling Education.- The Mathematical Modelling Competencies Required for Solving Engineering Statics Assignments, Burkhard Alpers.- Pre-service Teachers' Levels of Reflectivity after Mathematical Modelling Activities with High-School Students, Rita Borromeo Ferri.- Context and Understanding: The Case of Linear Models, Jill P. Brown.- Difficulties in Teaching Modelling: A French-Spanish Exploration, Richard Cabassut and Irene Ferrando.- How Students Connect Mathematical Models to Descriptions of Real-World Situations, Dirk De Bock, Nele Veracx and Wim Van Dooren.- Mathematical Modelling Strategies and Attitudes of Third Year Pre-Service Teachers, Rina Durandt and Gerrie J Jacobs.- Exploring the Notion of Mathematical Literacy in Curricula Documents, Peter Frejd and Vincent Geiger.- Design and Implementation of a Tool for Analysing Student Products when They Solve Fermi Problems, C?sar Gallart, Irene Ferrando, Llu?s M. Garc?a-Raffi, Llu?s Albarrac?n and N?ria Gorgori?.- Implementing Modelling into Classrooms - Results of an Empirical Research Study, Jana Kreckler.- A Commognitive Perspective on Pre-service Secondary Teachers' Content Knowledge in Mathematical Modelling, Joo Young Park.- Mathematics Teachers' Learning at the Boundaries of Teaching, Research and Workplace, Giorgos Psycharis and Despina Potari.- Case Study of Pre-service Teachers Education for Mathematical Modelling and Applications Connecting Paintings with Mathematics, Akihiko Saeki, Masafumi Kaneko and Daisuke Saito.- Inquiry and Modelling in a Real Archaeological Context, Gemma Sala Sebasti?, Vicen? Font Moll, Joaquim Gim?nez Rodr?guez, Berta Barquero Farr?s.- Students' Overreliance on Linearity in Economic Applicatio...

Biographie:
Complementarity of Contexts and Mathematics, Pauline Vos and Gerrit Roorda, Exploring Aspects of Creativity in Mathematical Modelling, Helena Wessels.- Mathematical Modelling in Dutch Textbooks: Is it Genuine Mathematical Modelling? Bert Zwaneveld, Jacob Perrenet, Kees van Overveld and Tijn Borghuis.- Part IV Influences of Technologies on Modelling and Applications.- Initial Results of an Intervention Using a Mobile Game App to Simulate A Pandemic Outbreak, Peter Frejd and Jonas B. ?rleb?ck.- Modelling and Simulation with the Help of Digital Tools, Gilbert Greefrath and Hans-Stefan Siller.- Mathematical Modelling for Engineering Diploma Students: Perspectives on Visualisation, Hanti Kotze, Gerrie J. Jacobs, Erica D. Spangenberg.- Interactive Diagrams Used for Collaborative Learning Concerning Mathematical Models of Motion, Elena Naftaliev.- Using Modelling and Tablets in the Classroom to Learn Quadratic Functions, Miriam Ortega and Luis Puig.- Mathematical Modelling in a Long Distance Teacher Education in Brazil: Democratising Mathematics, Daniel Clark Orey and Milton Rosa.- Part V Assessment of Mathematical Modelling in Schools.- Six Principles to Assess Modelling Abilities of Students Working in Groups, Piera Biccard and Dirk Wessels.- Assessing Mathematizing Competences through Multiple Choice Tasks: Using Students' Response Processes to Investigate Task Validity, Brikena Djepaxhija, Pauline Vos and Anne Berit Fuglestad.- Part VI Applicability at Different Levels of Schooling.- How to Build a Hydrogen Refuelling Station Infrastructure in Germany - an Interdisciplinary Project Approach for Mathematics Classrooms, Irene Grafenhofer and Hans-Stefan Siller.- Authentic Mathematical Modelling Experiences of Upper Secondary School: A Case Study, Kerri Spooner.- Refereeing Process.- Index.

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Sommaire:
Series Preface, Gabriele Kaiser and Gloria Stillman.- Boundary Crossings in Mathematical Modelling and Applications Educational Research and Practice, Gloria Stillman, Werner Blum, and Gabriele Kaiser.- Part I New Approaches in Research, Teaching and Practice from Crossing Boundaries.- Mathematical Modelling with Increasing Learning Aids - A Video Study, Deike S. Alfke (n?e J?tting).- Modelling with Statistical Data: Characterisation of Student Models, ?ngels Aymerich, N?ria Gorgori?, and Llu?s Albarrac?n.- How Teachers Can Promote Mathematising by Means of Mathematical City Walks, Nils Buchholtz.- L'Hospital's Weight Problem: Testing the Boundaries between Mathematics and Physics, between Application and Modelling, France Caron and Kathleen Pineau. Representations of Modelling in Mathematics Education, Helen M. Doerr, Jonas B. ?rleb?ck and Morten Misfeldt.- The Primacy of 'Noticing': a Key to Successful Modelling, Peter Galbraith, Gloria Ann Stillman and Jill P. Brown.- Combining Models Related to Data Distribution through Productive Experimentation, Takashi Kawakami.- Reconciling Intuitions and Conventional Knowledge: The Challenge of Teaching and Learning Mathematical Modelling, Azita Manouchehri and Stephen T. Lewis.- ????? A Modelling Perspective in Designing Teacher Professional Learning Communities, Nicholas Mousoulides, Marilena Nicolaidou, and Maria Evagorou.- Mathematical Modelling and Proof by Recurrence: an Analysis from a Wittgensteinian Perspective, B?rbara Palharini, Emerson Tortola and Lourdes Maria Werle de Almeida.- Quality Criteria for Mathematical Models in Relation to Models' Purposes - Their Usefulness in Engineering Education, Jacob Perrenet, Bert Zwaneveld, Kees van Overveld and Tijn Borghuis.- Ethnomodelling as the Mathematization of Cultural Practices, Milton Rosa and Daniel Clark Orey.- Enabling Anticipation through Visualisation in Mathematising Real World Problems in a Flipped Classroom, Gloria Ann Stillman.- Measuring Metacognitive Modelling Competencies, Katrin Vorh?lter.- Part II Researching Boundaries in Mathematical Modelling Education.- The Mathematical Modelling Competencies Required for Solving Engineering Statics Assignments, Burkhard Alpers.- Pre-service Teachers' Levels of Reflectivity after Mathematical Modelling Activities with High-School Students, Rita Borromeo Ferri.- Context and Understanding: The Case of Linear Models, Jill P. Brown.- Difficulties in Teaching Modelling: A French-Spanish Exploration, Richard Cabassut and Irene Ferrando.- How Students Connect Mathematical Models to Descriptions of Real-World Situations, Dirk De Bock, Nele Veracx and Wim Van Dooren.- Mathematical Modelling Strategies and Attitudes of Third Year Pre-Service Teachers, Rina Durandt and Gerrie J Jacobs.- Exploring the Notion of Mathematical Literacy in Curricula Documents, Peter Frejd and Vincent Geiger.- Design and Implementation of a Tool for Analysing Student Products when They Solve Fermi Problems, C?sar Gallart, Irene Ferrando, Llu?s M. Garc?a-Raffi, Llu?s Albarrac?n and N?ria Gorgori?.- Implementing Modelling into Classrooms - Results of an Empirical Research Study, Jana Kreckler.- A Commognitive Perspective on Pre-service Secondary Teachers' Content Knowledge in Mathematical Modelling, Joo Young Park.- Mathematics Teachers' Learning at the Boundaries of Teaching, Research and Workplace, Giorgos Psycharis and Despina Potari.- Case Study of Pre-service Teachers Education for Mathematical Modelling and Applications Connecting Paintings with Mathematics, Akihiko Saeki, Masafumi Kaneko and Daisuke Saito.- Inquiry and Modelling in a Real Archaeological Context, Gemma Sala Sebasti?, Vicen? Font Moll, Joaquim Gim?nez Rodr?guez, Berta Barquero Farr?s.- Students' Overreliance on Linearity in Economic Applicatio...