ISBN:
9789400762718
Language:
English
Pages:
Online-Ressource (XIV, 651 p. 134 illus, digital)
Series Statement:
International Perspectives on the Teaching and Learning of Mathematical Modelling
Series Statement:
SpringerLink
Series Statement:
Bücher
Parallel Title:
Buchausg. u.d.T.
Keywords:
Mathematics
;
Education
;
Education
;
Mathematics
Abstract:
Modeling Students Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.
Abstract:
Modeling Students' Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects
Description / Table of Contents:
Modeling Students' Mathematical Modeling Competencies; Contents; Contributors; Chapter 1: Introduction: ICTMA and the Teaching of Modeling and Applications; Part I: The Nature of Models & Modeling; Chapter 2: Introduction to Part I Modeling: What Is It? Why Do It?; References; Section 1: What Are Models?; Chapter 3: Modeling Theory for Math and Science Education; 3.1 Introduction; 3.2 Origins of Modeling Theory; 3.3 Models and Concepts; 3.4 Imagination and Intuition; 3.5 Mathematical Versus Physical Intuition; 3.6 Modeling Instruction; 3.7 Conclusions
Description / Table of Contents:
3.8 Epilogue: A New Generation of Mathematical ToolsReferences; Chapter 4: Modeling a Crucial Aspect of Students' Mathematical Modeling; 4.1 Introduction; 4.2 Three Examples; 4.3 The Intricacies of Mathematization; 4.4 Modeling Students' Mathematizations; References; Chapter 5: Modeling Perspectives in Math Education Research; 5.1 Introduction; 5.2 Spesier and Walter on Models; 5.3 Harel on Models; 5.4 Larson on Models; 5.5 Oehrtman on Models; 5.6 Rasmussen and Zandieh on Models; References; Section 2: Where Are Models & Modelers Found?
Description / Table of Contents:
Chapter 6: Modeling to Address Techno-Mathematical Literacies in Work6.1 Introduction; 6.2 Methodology; 6.3 Findings; 6.4 Results; 6.4.1 Two Examples: Manufacturing and Statistical Process Control; 6.5 Conclusions; References; Chapter 7: Mathematical Modeling in Engineering Design Projects; 7.1 Introduction; 7.2 Methodology; 7.2.1 Industrial Engineering Undergraduates; 7.2.2 Mechanical Engineering Graduate Students; 7.3 Discussion; 7.4 Conclusion; References; Chapter 8: The Mathematical Expertise of Mechanical Engineers - The Case of Mechanism Design; 8.1 Introduction
Description / Table of Contents:
8.2 Method of Investigation8.3 The Task: Design of Part of a Cutting Device; 8.4 Results and Discussion; 8.5 Conclusions; References; Section 3: What Do Modeling Processes Look Like?; Chapter 9: Modeling and Quantitative Reasoning: The Summer Jobs Problem; 9.1 Theoretical Framework; 9.2 Methods; 9.3 Results; 9.3.1 What Is the Students' Model?; 9.3.2 What Is the Role of Quantities in Students' Models?; 9.3.3 What Is the Role of Quantitative Reasoning in Students' Models?; 9.3.4 What Is the Relationship Between Quantitative Reasoning and Model Development?; 9.4 Discussion; References
Description / Table of Contents:
Chapter 10: Tracing Students' Modeling Processes in School10.1 Introduction; 10.2 Theoretical Framework; 10.3 The Present Study; 10.3.1 The Purpose of the Study; 10.3.2 Participants, Modelling Activity, and Procedures; 10.3.3 Data Sources and Analysis; 10.4 Results; 10.4.1 Modelling Processes; 10.4.2 Mathematical Developments; 10.5 Discussion; References; Section 4: What Creates "The Need For Modeling"; Chapter 11: Turning Ideas into Modeling Problems; 11.1 Introduction; 11.2 Approaches to Mathematical Modeling; 11.2.1 Modeling as Vehicle; 11.2.2 Modeling as Content
Description / Table of Contents:
11.3 Educational Rationale
Note:
Includes bibliographical references and index
DOI:
10.1007/978-94-007-6271-8
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