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  • 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: 9789400762473
    Language: English
    Pages: Online-Ressource (VIII, 221 p. 6 illus, digital)
    Series Statement: Educational Research 7
    Series Statement: SpringerLink
    Series Statement: Bücher
    Parallel Title: Druckausg. Educational research: the importance and effects of institutional spaces
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    Keywords: Education ; Education ; Education Philosophy ; Education ; Aufsatzsammlung ; Pädagogik ; Forschung
    Abstract: This collection of fresh analyses aims to map the links between educational theory and research, and the geographical and physical spaces in which teaching is practiced and discussed. The authors combine historical and philosophical perspectives in examining the differing institutional loci of education research, and also assess the potential and the limitations of each. The contributors trace the effects of ‘space’ on educational practice in the classroom, in the broader institutions, and in the academic discipline of education-doing so for a range of international contexts. The chapters address various topics relating to the physical and geographical environment. How, for example, does geographical space shape researchers’ mental frameworks? How did the learning environments in which young children are taught today evolve? To what extent did parochialism shape America’s higher education system? How can our understanding of classroom practice be enhanced by concepts of space? The book acknowledges that texts themselves, as well as the research ‘arena’, are ‘spaces’ too, and notes the fascinating debate on the concept of space in the field of mathematics education. Indeed, as more and more students move online, the book analyses the rising importance of virtual spaces such as Web 2.0, which have major educational implications for researchers and students joining the innovative ‘virtual’ universities of the future.This publication, as well as the ones that are mentioned in the preliminary pages of this work, were realized by the Research Community (FWO Vlaanderen / Research Foundation Flanders, Belgium) Philosophy and History of the Discipline of Education: Faces and Spaces of Educational Research
    Description / Table of Contents: Earlier Volumes in this Series; Contents; Chapter 1: Exploring a Multitude of Spaces in Education and Educational Research; Notes; References; Chapter 2: American Democracy and Harold D. Lasswell: Institutional Spaces of 'Failure' and 'Success', Present and Past; 2.1 Introduction; 2.2 Institutional Failure; 2.3 Introducing Lasswell; 2.4 Democratic Character; 2.5 Innovation; 2.6 Assessment; 2.7 Conclusion; Notes; References; Chapter 3: The Power of the Parochial in Shaping the American System of Higher Education; 3.1 Rapid Expansion and Dispersion of US Colleges in the Nineteenth Century
    Description / Table of Contents: 3.2 Sources of Strength in a Humble Collection of Colleges3.3 Building New Capacity and Complexity into the System; 3.3.1 State Universities; 3.3.2 Land-Grant Colleges; 3.3.3 Normal Schools; 3.4 The System's Strengths in 1880; 3.4.1 Capacity in Place; 3.4.2 A Hardy Band of Survivors; 3.4.3 Consumer Sensitivity; 3.4.4 Adaptable Enterprises; 3.4.5 A Populist Role; 3.4.6 A Practical Role; 3.5 The Pieces Come Together with the Emergence of the Research University; 3.5.1 A Research Role; 3.5.2 Merging the Populist, the Practical, and the Elite in the American System; Notes; References
    Description / Table of Contents: Chapter 4: Crossing the Atlantic to Gain Knowledge in the Field of Psycho-Pedagogy: The 1922 Mission of Ovide Decroly and R...4.1 Aspects of 'Macro'-space: Crossing the Atlantic to Gain Knowledge in the Field of Psycho-Pedagogy; 4.2 Aspects of 'Micro'-space: Travel Notes as the Basis for Writing Biographies About Educational Researchers; References; Archives; Literature; Chapter 5: The Emergence of Institutional Educational Spaces for Young Children: In Pursuit of More Controllability of Education and Developmentas Part of the Long-Term Growthof Educational Space in History; 5.1 Introduction
    Description / Table of Contents: 5.2 Educational Space, Educational Ambitions and Education and Childhood in History5.3 Supervision, Controllability and the Optimal Development of the Young; 5.4 The Development of New Educational Spaces for the Education of Young Children; 5.4.1 A Shift in Educational Theories; 5.4.2 Shift in Educational Policy; 5.4.3 Shift in Educational Practices in a New Institutional Space for Young Children; 5.5 Conclusion; Notes; References; Chapter 6: A Different Training, a Different Practice: Infant Care in Belgium in the Interwar Years in the City and in the Countryside
    Description / Table of Contents: 6.1 Introduction: The Development of Infant Care as an Educational Space6.2 The Training of Nurses as an Institutional Space of Educational Research; 6.3 Nursing as a Vocation: The Social Nurse Offering Social Education in the Countryside; 6.4 Nursing as a Profession: The Visiting Nurse Offering Medical Care in the City; 6.5 Conclusion: A Different Training, a Different Practice; Notes; References; Chapter 7: Disability, Rehabilitation and the Great War: Making Space for Silence in the History of Education; 7.1 Spaces, Silence and Educational Research
    Description / Table of Contents: 7.2 Retracing Silence in the History of Rehabilitation, 1914-1918
    Description / Table of Contents: 1. Exploring a multitude of spaces in education and educational research -- 2. American democracy and Harold D. Lasswell: Institutional spaces of ‘failure’ and ‘success’, present and past -- 3. The power of the parochial in shaping the American system of Higher Education -- 4. Crossing the Atlantic to gain knowledge in the field of psycho-pedagogy: The 1922 mission of Ovide Decroly and Raymond Buyse to the USA and the travel diary of the latter -- 5. The emergence of institutional educational spaces for young children: In pursuit of more controllability of education and development as part of the long-term growth of educational space in history -- 6. A different training, a different practice. Infant care in Belgium in the interwar years in the city and in the countryside -- 7. Disability, rehabilitation & the Great War: Making space for silence in the History of Education -- 8. Interpretation: The space of text -- 9. Exploring educational research as a multi-layered discursive space -- 10. The spaces of mathematics: Dynamic encounters between local and universal -- 11. The classroom space: A problem or a mystery?- 12. Spaces and places in the virtual university -- 13. Material contexts and creation of meaning in virtual places: Web 2.0 as a space of educational research. 14. From entrepreneurialism to innovation: Research, critique, and the Innovation Union -- 15. About the Authors -- Index. ​.
    Note: Includes bibliographical references and indexes
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
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  • 3
    Online Resource
    Online Resource
    Dordrecht : Springer Science+Business Media B.V
    ISBN: 9789048198733
    Language: English
    Pages: Online-Ressource (IX, 200p, digital)
    Series Statement: Educational Research 5
    Series Statement: SpringerLink
    Series Statement: Bücher
    Parallel Title: Buchausg. u.d.T. Educational research: the ethics and aesthetics of statistics
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    Keywords: Education ; Education ; Education Philosophy ; Pädagogik ; Empirische Forschung ; Statistik ; Aufsatzsammlung
    Abstract: Statistics are everywhere. Their power and their undoubted efficacy in many areas have given rise to faith in measurement and metrics. More of them will tell us all that we need to know. Their use carries with it a number of presuppositions: that reality can be satisfactorily represented and that it can be controlled or the risks managed. The papers in this book interpret the ethics and aesthetics of statistics in terms of representation, visualisation and accessibility, focus on the appeal of 'simplicity', of technical languages, numbers, diagrams and pictures, and pay attention to their connection with action plans. The book explores what has made educational researchers dependent on statistics, and deals with their use in areas such as the prevalence of maltreatment of children, European citizenship, well-being and happiness, illegal migrants, and university expansion. There is discussion of how the quest for more and better statistics finds its voice in policy initiatives that become slogans, and how public opinion polls are used to rationalise political decision-making. Can a more limited and modest use be made of statistics which does not deflect attention away from education's core business and which does not destroy the local practical knowledge that on which good education is based? 'Smeyers and Depaepe continue to bring together a significant international group of educational philosophers and historians on topics of importance to researchers. This fifth volume in their series takes up the 'gold standard' use of statistics in case studies not contributed elsewhere. I highly recommend this text to counter a current over-emphasis on technique in research methodology. Use of statistics remains but herein under new, insightful conceptualizations.' Lynda Stone, Philosophy of Education, University of North Carolina at Chapel Hill, USA 'Once again, Depaepe and Smeyers succeeded in bringing together distinguished international and cross-disciplinary scholars exploring very timely and critical issues in current educational research. This is a groundbreaking book on a theme that can't be ignored by educational researchers and those interested in a better understanding of the culture of science and science as culture. Moreover, the present book instigates to study history of educational research, a limited but developing field, and invites reflection to those who are sometimes too reliant on number crunching as a mode of interpretation and rather credulous in the acceptance of institutional records. Frank Simon, Faculty of Psychology and Educational Sciences, Ghent University, Belgium
    Description / Table of Contents: Earlier Volumes in this Series; Contents; 1 Representation or Hard Evidence? The Use of Statistics in Education and Educational Research; 2 The Lure of Statistics for Educational Researchers; 3 Dazzling Statistics? On the University Expansion in Flanders and the Need for Research into the History of Education that Transcends Quantifying Sociology; 4 Child Maltreatment in the Last 50 Years: The Use of Statistics; 5 Constructing Social Unity and Presenting Clear Predictions: The Promise of Public Opinion Pollsters to Measure and Educate Society
    Description / Table of Contents: 6 n = 1: The Science and Art of the Single Case in Educational Research7 To Frame the Unframable: Quantifying Irregular Migrants' Presence; 8 European Citizenship and Evidence-Based Happiness; 9 The Persuasive Power of Figures and the Aesthetics of the Dirty Backyards of Statistics in Educational Research; 10 The Good, the Beautiful and the Literate: Making Statistics Accessible for Action; 11 Statistics and the Inference to the Best Explanation: Living Without Complexity?; 12 Performativity, Statistics and Bloody Words; 13 A Bubble for the Spirit Level: Metricophilia, Rhetoric and Philosophy
    Description / Table of Contents: 14 Calling to AccountAbout the Authors; Author Index; Subject Index
    Description / Table of Contents: Cover13;Contents -- 1 Representation or Hard Evidence? The Use of Statistics in Education and Educational Research -- Note -- References -- 2 The Lure of Statistics for Educational Researchers -- 2.1 The Roots of Quantification -- 2.2 The Adoption of Statistics by Professions -- 2.3 Educational Research as a Soft and Applied Field -- 2.4 One Problem with Quantifying Educational Research: Missing the Point -- 2.5 Another Problem with Quantifying Educational Research: Forcing a Rectangular Grid onto a Spherical World -- References -- 3 Dazzling Statistics? On the University Expansion in Flanders and the Need for Research into the History of Education that Transcends Quantifying Sociology -- 3.1 The Context -- 3.2 Problem Statement -- 3.3 Questions from History on the Use of Statistics in Social Sciences -- 3.3.1 Too General? -- 3.3.2 Too A-Historical? -- 3.3.3 Presentist Pitfalls? -- Notes -- References -- 4 Child Maltreatment in the Last 50 Years: The Use of Statistics -- 4.1 Introduction -- 4.2 Diminution of the Prevalence of Maltreatment of Children? -- 4.3 No Diminution: Studies on the Prevalence of Child Maltreatment as Historical Sources -- 4.4 From Narrow to Broad: The Changing Definition of Child Maltreatment -- 4.5 The Impact of Children's Rights -- 4.6 Aesthetics of Statistics, or, the Appeal of Statistical Mapping for Policy-makers -- 4.7 Conclusion -- References -- 5 Constructing Social Unity and Presenting Clear Predictions: The Promise of Public Opinion Pollsters to Measure and Educate Society -- 5.1 The Creation of National Community: Dewey's and Gallup's Ethical Legitimation of Social Sciences and Polls -- 5.2 An Instrument for Democracy? Polls in the Public and Governmental Sphere -- 5.3 Contradictory Functions of Poll Statistics: Service for Efficient and Rational Government, National Coherence and the Gaining of Political Power -- 5.4 The Suggestive Aesthetics of Charts: The Clearness of Social Coherence or Camps, the Security of Prediction Due to Reliable Observation and Permanent Comparison -- 5.5 The Limits of Polls as an Instrument to Create the Great Communication Community -- 5.6 Conclusion -- Notes -- References -- 6 n = 1: The Science and Art of the Single Case in Educational Research -- 6.1 Quantitative Research Methods and the Predilection for Large Numbers -- 6.2 The Function of the Single Case Within a Quantitative Research Tradition -- 6.3 Different Forms of the Single Case -- 6.4 Generalising from the Single Case? -- 6.5 The Single Case as a Source of Conjecture and Refutation -- 6.6 Relating the Particular to the Particular -- 6.7 The Case as Offering a Vicarious Experience -- 6.8 Case Study: Science or Art? -- 6.9 Historical/Biographical Note -- Notes -- References -- 7 To Frame the Unframable: Quantifying Irregular Migrants' Presence -- 7.1 Introduction -- 7.2 Techniques for Estimating Irregular Migration Numbers -- 7.3 Counting the Uncountable: Some Conceptual Problems -- 7.3.1 Different Definitions, Different People -- 7.3.2 The Homogenisation of Complexity -- 7.4 Does It Make Sense To Say ... -- 7.5 Appendix 1: Methods for Stock Estimates -- 7.5 Appendix 2: Methods for Flow Estimates -- References -- 8 European Citizenship and Evidence-Based Happiness -- 8.1 Introduction -- 8.2 The New Science of Happiness -- 8.3 Beyond GDP -- 8.4 ''Learning to Be Together''; ''Keep on Learning''; ''Learning About Me'' -- 8.5 Conclusion -- References -- 9 T.
    Note: Includes bibliographical references and indexes
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
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  • 4
    ISBN: 9781441905611
    Language: English
    Pages: Online-Ressource , v.: digital
    Edition: 1
    Edition: Online-Ausg. Springer eBook Collection. Humanities, Social Science and Law Electronic reproduction; Available via World Wide Web
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    Keywords: Education ; Mathematics ; Science Study and teaching ; Mathematikunterricht ; Mathematisches Modell ; Fähigkeit
    Abstract: As we enter the 21st century, there is an urgent need for new approaches to mathematics education emphasizing its relevance in young learners' futures. Modeling Students' Mathematical Modeling Competencies explores the vital trend toward using real-world problems as a basis for teaching mathematics skills, competencies, and applications. Blending theoretical constructs and practical considerations, the book presents papers from the latest conference of the ICTMA, beginning with the basics (Why are models necessary? Where can we find them?) and moving through intricate concepts of how students perceive math, how instructors teach and how both can become better learners. Dispatches as varied as classroom case studies, analyses of math in engineering work, and an in-depth review of modeling-based curricula in the Netherlands illustrate modeling activities on the job, methods of overcoming math resistance, and the movement toward replicable models and lifelong engagement. A sampling of topics covered: How students recognize the usefulness of mathematics Creating the modeling-oriented classroom Assessing and evaluating students' modeling capabilities The relationship between modeling and problem-solving Instructor methods for developing their own models of modeling New technologies for modeling in the classroom 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.
    Note: Includes bibliographical references , Electronic reproduction; Available via World Wide Web
    URL: Volltext  (lizenzpflichtig)
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