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Mathematical Modelling and Applications

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Cover of 'Mathematical Modelling and Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Crossing Boundaries in Mathematical Modelling and Applications Educational Research and Practice
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    Chapter 2 Mathematical Modelling with Increasing Learning Aids: A Video Study
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    Chapter 3 Modelling with Statistical Data: Characterisation of Student Models
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    Chapter 4 How Teachers Can Promote Mathematising by Means of Mathematical City Walks
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    Chapter 5 L’Hospital’s Weight Problem: Testing the Boundaries Between Mathematics and Physics and Between Application and Modelling
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    Chapter 6 Representations of Modelling in Mathematics Education
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    Chapter 7 The Primacy of ‘Noticing’: A Key to Successful Modelling
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    Chapter 8 Combining Models Related to Data Distribution Through Productive Experimentation
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    Chapter 9 Reconciling Intuitions and Conventional Knowledge: The Challenge of Teaching and Learning Mathematical Modelling
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    Chapter 10 A Modelling Perspective in Designing Teacher Professional Learning Communities
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    Chapter 11 Mathematical Modelling and Proof by Recurrence: An Analysis from a Wittgensteinian Perspective
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    Chapter 12 Quality Criteria for Mathematical Models in Relation to Models’ Purposes: Their Usefulness in Engineering Education
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    Chapter 13 Ethnomodelling as the Mathematization of Cultural Practices
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    Chapter 14 Enabling Anticipation Through Visualisation in Mathematising Real-World Problems in a Flipped Classroom
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    Chapter 15 Measuring Metacognitive Modelling Competencies
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    Chapter 16 The Mathematical Modelling Competencies Required for Solving Engineering Statics Assignments
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    Chapter 17 Pre-service Teachers’ Levels of Reflectivity After Mathematical Modelling Activities with High School Students
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    Chapter 18 Context and Understanding: The Case of Linear Models
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    Chapter 19 Difficulties in Teaching Modelling: A French-Spanish Exploration
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    Chapter 20 How Students Connect Mathematical Models to Descriptions of Real-World Situations
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    Chapter 21 Mathematical Modelling Strategies and Attitudes of Third Year Pre-service Teachers
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    Chapter 22 Exploring the Notion of Mathematical Literacy in Curricula Documents
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    Chapter 23 Design and Implementation of a Tool for Analysing Student Products When They Solve Fermi Problems
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    Chapter 24 Implementing Modelling into Classrooms: Results of an Empirical Research Study
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    Chapter 25 A Commognitive Perspective on Pre-service Secondary Teachers’ Content Knowledge in Mathematical Modelling
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    Chapter 26 Mathematics Teachers’ Learning at the Boundaries of Teaching and Workplace
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    Chapter 27 Case Study of Pre-service Teacher Education for Mathematical Modelling and Applications Connecting Paintings with Mathematics
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    Chapter 28 Inquiry and Modelling in a Real Archaeological Context
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    Chapter 29 Students’ Overreliance on Linearity in Economic Applications: A State of the Art
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    Chapter 30 Teaching Modelling and Systemic Change
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    Chapter 31 Mathematical Modelling as a Professional Activity: Lessons for the Classroom
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    Chapter 32 Modelling Task Design: Science Teachers’ View
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    Chapter 33 Modelling as Interactive Translations Among Plural Worlds: Experimental Teaching Using the Night-Time Problem
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    Chapter 34 The Dual Modelling Cycle Framework: Report on an Australian Study
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    Chapter 35 Implementing Mathematical Modelling: The Challenge of Teacher Educating
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    Chapter 36 The Velocity Concept: The History of Its Modelling Development
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    Chapter 37 Developing a Mathematical Modelling Task for All Students
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    Chapter 38 The Hidden Benefits of Mathematical Modelling for Students with Disabilities
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    Chapter 39 Scaffolding Complex Modelling Processes: An In-Depth Study
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    Chapter 40 Long-Term Development of How Students Interpret a Model: Complementarity of Contexts and Mathematics
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    Chapter 41 Exploring Aspects of Creativity in Mathematical Modelling
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    Chapter 42 Mathematical Modelling in Dutch Textbooks: Is It Genuine Mathematical Modelling?
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    Chapter 43 Initial Results of an Intervention Using a Mobile Game App to Simulate a Pandemic Outbreak
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    Chapter 44 Modelling and Simulation with the Help of Digital Tools
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    Chapter 45 Mathematical Modelling for Engineering Diploma Students: Perspectives on Visualisation
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    Chapter 46 Interactive Diagrams Used for Collaborative Learning Concerning Mathematical Models of Motion
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    Chapter 47 Using Modelling and Tablets in the Classroom to Learn Quadratic Functions
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    Chapter 48 Mathematical Modelling in a Long-Distance Teacher Education in Brazil: Democratizing Mathematics
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    Chapter 49 Six Principles to Assess Modelling Abilities of Students Working in Groups
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    Chapter 50 Assessing Mathematizing Competences Through Multiple-Choice Tasks: Using Students’ Response Processes to Investigate Task Validity
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    Chapter 51 How to Build a Hydrogen Refuelling Station Infrastructure in Germany: An Interdisciplinary Project Approach for Mathematics Classrooms
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    Chapter 52 Authentic Mathematical Modelling Experiences of Upper Secondary School: A Case Study
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    Chapter 53 Erratum
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Title
Mathematical Modelling and Applications
Published by
Springer International Publishing, January 2017
DOI 10.1007/978-3-319-62968-1
ISBNs
978-3-31-962968-1, 978-3-31-962967-4
Editors

Gloria Ann Stillman, Werner Blum, Gabriele Kaiser

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X Demographics

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 15 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 15 100%

Demographic breakdown

Readers by professional status Count As %
Lecturer 2 13%
Student > Master 2 13%
Professor 1 7%
Lecturer > Senior Lecturer 1 7%
Researcher 1 7%
Other 1 7%
Unknown 7 47%
Readers by discipline Count As %
Mathematics 2 13%
Engineering 2 13%
Social Sciences 2 13%
Philosophy 1 7%
Unknown 8 53%