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  • English  (2)
  • French, Steven  (1)
  • Haines, Christopher R.  (1)
  • Dordrecht : Springer Netherlands  (2)
  • Physics  (2)
  • Theology
  • 1
    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.
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    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
    URL: Cover
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  • 2
    ISBN: 9789048124039 , 9789048124022
    Language: English
    Pages: Online-Ressource (digital)
    Edition: 1
    Series Statement: Studies in History and Philosophy of Science 23
    Series Statement: SpringerLink
    Series Statement: Bücher
    Parallel Title: Buchausg. u.d.T. Riggs, Peter J. Quantum causality
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    Keywords: Philosophy (General) ; Science Philosophy ; Quantum theory ; Philosophy ; Philosophy (General) ; Quantum theory ; Science Philosophy ; Quantenmechanik ; Kausalität ; Philosophie
    Abstract: This is a treatise devoted to the foundations of quantum physics and the role that causality plays in the microscopic world governed by the laws of quantum mechanics. There is no sharp dividing line between physics and philosophy of physics. This is especially true for quantum physics where debate on its interpretation and the status of the various entities postulated has raged in both the scientific and philosophical communities since the 1920s and continues to this day. Although it is readily granted that quantum mechanics produces some strange and counter-intuitive results, it is argued in Quantum Causality that quantum mechanics is not as weird as we might have been led to believe. The dominant theory of quantum mechanics is called Orthodox Quantum Theory (also known as the Copenhagen Interpretation). Orthodox Quantum Theory is a ‘theoretical tool’ for making predictions for the possible results of experiments on quantum systems and requires the intervention of an observer or an observer’s proxy (e.g. a measuring apparatus) in order to produce predictions. Orthodox Quantum Theory does away with the notion of causality and denies the existence of an underlying quantum realm. The Causal Theory is not well known within the physics community and many physicists who do know of it are generally dismissive in their attitudes. This is a historical legacy inherited by the majority of the physics community from the most influential founders of quantum mechanics, Niels Bohr and Werner Heisenberg. They both denied the independent existence of a quantum level of reality and declared that causality does not apply to quantum events. Quantum Causality shows that the Causal Theory of Quantum Mechanics is a viable physical theory that provides realistic explanations for quantum phenomena. Much of what is argued for in this book will be controversial but, at the very least, these arguments will likely engender some lively debate on the various issues raised.
    Description / Table of Contents: General Introduction; Preliminaries; The Causal Theory of Quantum Mechanics; Energy and the Wave Field; Energy-Momentum Transfer and the Quantum Potential; The Exclusion Principle
    Note: Includes bibliographical references and index
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
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