ISBN:
9789400762718
Sprache:
Englisch
Seiten:
Online-Ressource (XIV, 651 p. 134 illus, digital)
Serie:
International Perspectives on the Teaching and Learning of Mathematical Modelling
Serie:
SpringerLink
Serie:
Bücher
Paralleltitel:
Buchausg. u.d.T.
Schlagwort(e):
Mathematics
;
Education
;
Education
;
Mathematics
Kurzfassung:
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.
Kurzfassung:
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
Beschreibung / Inhaltsverzeichnis:
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
Beschreibung / Inhaltsverzeichnis:
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?
Beschreibung / Inhaltsverzeichnis:
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
Beschreibung / Inhaltsverzeichnis:
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
Beschreibung / Inhaltsverzeichnis:
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
Beschreibung / Inhaltsverzeichnis:
11.3 Educational Rationale
Anmerkung:
Includes bibliographical references and index
DOI:
10.1007/978-94-007-6271-8
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