Mathematical creativity : a developmental perspective / / Scott A. Chamberlin, Peter Liljedahl, Milos Savic , editors

• Record Nr.: UNISA996499867003316
• Pubbl/distr/stampa: Cham, Switzerland : , : Springer, , [2022]; ©2022
• ISBN: 3-031-14474-0
• Descrizione fisica: 1 online resource (252 pages)
• Collana: Research in mathematics education
• Disciplina: 510.71
• Soggetti: Mathematics - Study and teaching; Ensenyament de la matemàtica; Llibres electrònics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Intro -- Foreword -- Contents -- About the Author -- Part I: History and Background of Mathematical Creativity -- Chapter 1: Creativity and Mathematics: A Beginning Look -- 1.1 What Is Creativity? -- 1.1.1 What Creativity Is Not -- 1.1.1.1 Creativity Does Not Occur in the Right Brain -- 1.1.1.2 Creativity Is Not the Same as Intelligence or Expertise -- 1.1.1.3 Creativity Is Not Just for a Lucky Few -- 1.1.1.4 Creativity Is Not Just a Phenomenon in the Arts -- 1.1.2 Mathematical Creativity -- 1.2 How Does Creativity Develop? -- 1.2.1 Creativity Across Time -- 1.2.2 Talent Development in Mathematics -- 1.3 About This Section -- References -- Chapter 2: Creativity in Mathematics: An Overview of More Than 100 Years of Research -- 2.1 Research on Creativity Originating in (Mathematical) Problem-Solving -- 2.2 Quantitative Approaches to Measuring (Mathematical) Creativity (from Psychology) -- 2.3 Sorting the Field -- References -- Chapter 3: Mathematical Creativity and Society -- 3.1 A History of Mathematical Creativity -- 3.2 Overview of Creativity Research -- 3.3 An In-Depth Look at Mathematical Creativity -- 3.4 Value of Mathematical Creativity -- 3.5 Organizational Framework of the Book -- 3.5.1 Mathematical Creativity Is Dynamic -- 3.5.2 Mathematical Creativity Is Influenced by Affect, Intelligence, and Other Constructs -- 3.5.3 Final Factors That Influence Mathematical Creativity -- 3.6 Conclusion -- References -- ; Chapter 4: Organizational Framework for Book and Conceptions of Mathematical Creativity -- 4.1 Organizational Framework of Book -- 4.2 Development and Mathematical Creativity in Relation to Creativity Models -- 4.2.1 The Four C's -- 4.2.2 Person, Process, and Product: Portions of the Four P Model -- 4.3 Barriers to Eliciting Creative Process and Product.; 4.4 Additional Factors in the Relationship Between Mathematical Creativity and Development -- 4.4.1 Empirical Evidence of Affect/Conation Relationship to Mathematical Creativity -- 4.4.2 Five Legs Theory -- 4.5 Conclusion -- References -- Chapter 5: Commentary on Section -- 5.1 Mathematical Creativity Research in the Elementary Grades -- 5.2 Empirical Findings on Creative in Mathematics Among Secondary School Students -- 5.3 Mathematical Creativity at the Tertiary Level: A Systematic Review of the Literature -- 5.4 Themes -- 5.5 Mathematical Creativity: A Complex Topic -- 5.6 Mathematical Creativity: Where It Lives and How It Is Understood -- 5.7 Mathematical Creativity in the Classroom -- 5.8 Concluding Thoughts -- References -- Part II: Synthesis of Literature on Mathematical Creativity -- Chapter 6: Mathematical Creativity Research in the Elementary Grades -- 6.1 Mathematical Creativity Research in the Elementary Grades -- 6.2 Mathematical Creativity Research: Academic-Oriented and Practice-Oriented -- 6.3 Academic-Oriented Research on Mathematical Creativity: Impacting Future Research -- 6.3.1 Psychology and Cognitive Science Research -- 6.3.2 Mathematics Education and Psychology Research -- 6.4 Practice-Oriented Research on Mathematical Creativity: Impacting Future Practice -- 6.4.1 Instructional Tasks -- 6.4.1.1 Open-Ended and Multiple Solution Tasks -- 6.4.1.2 Technological Integrations to Support MC -- 6.4.2 Environmental Aspects That Relate to MC -- 6.4.2.1 The Didactic Contract of Mathematics Teaching -- 6.4.2.2 Classroom Affective Development -- 6.5 Next Steps: Answering Some of the Field's Most Immediate Questions -- 6.5.1 Promising Directions for Academic-Oriented Research on MC for Elementary Students -- 6.5.2 Promising Directions for Practice-Oriented Research on MC for Elementary Students -- References.; Chapter 7: Literature Review on Empirical Findings on Creativity in Mathematics Among Secondary School Students -- 7.1 Theoretical Background -- 7.2 Methods -- 7.3 Data Analysis -- 7.4 Results -- 7.4.1 Perspective I: Understanding Creativity and Validation of Creativity Models -- 7.4.2 Perspective II: Relation and Correlation to Other Constructs -- 7.4.3 Perspective III: Reflecting on Instructions and Interventions -- 7.4.4 Perspective IV: Articles That Do Not Fit Perspectives I-III -- 7.4.5 Perspective V: Problems and Tasks for Assessment -- 7.5 Discussion and Outlook -- References -- Chapter 8: Mathematical Creativity at the Tertiary Level: A Systematic Review of the Literature -- 8.1 Introduction -- 8.2 Method -- 8.3 Results -- 8.4 Discussion and Future Research Directions -- 8.5 Conclusion -- Appendix A: Table of all 29 Articles/Book Chapters Listed by Alphabetical Last Name -- References -- Chapter 9: Mathematical Creativity from an Educational Perspective: Reflecting on Recent Empirical Studies -- 9.1 To Comment Is to Reflect -- 9.2 Creative Processes: What Are They? -- 9.3 Creative Processes: How Can We Foster Them? -- 9.4 Some Pre-reading Suggestions -- References -- Part III: New Empirical Research on Mathematical Creativity -- Chapter 10: Now You See It, Now You Don't: Why The Choice of Theoretical Lens Matters When Exploring Children's Creative Mathematical Thinking -- 10.1 Introduction -- 10.2 On Seeing and Not Seeing Mathematical Creativity -- 10.3 Children's Mathematical ; Thinking in a Fractions Lesson -- 10.4 A Human-/Language-Centric Lens on Children's Creative Thinking -- 10.4.1 Agentivity -- 10.4.2 Language -- 10.4.3 Materials -- 10.5 A Materialist Posthuman Lens on Children's Creative Mathematical Thinking -- 10.5.1 Agentivity -- 10.5.2 Language -- 10.5.3 Materials -- 10.6 Further Thoughts: Dialogue Between Analytic Lenses.; References -- Chapter 11: The Creative Mathematical Thinking Process -- 11.1 Introduction -- 11.1.1 Divergent and Convergent Thinking -- 11.1.2 The Creative Mathematical Thinking Process -- 11.1.3 The Current Study -- 11.2 Method -- 11.2.1 Participants -- 11.2.2 Mathematical Tasks -- 11.2.3 Procedure -- 11.2.4 Data Analysis -- 11.3 Findings -- 11.3.1 Number of Creative Ideas -- 11.3.2 The Use of Divergent Thinking -- 11.3.3 The Use of Convergent Thinking and Combinations of Divergent and Convergent Thinking -- 11.3.4 Differences Between Children and Tasks -- 11.4 Discussion -- 11.4.1 The Use of Divergent and Convergent Thinking -- 11.4.2 The Role of Mathematical Achievement and Task Type -- 11.4.3 Future Studies and Limitations -- 11.5 Conclusion and Implications -- Appendix -- References -- Chapter 12: Group Creativity -- 12.1 Introduction -- 12.2 Building Thinking Classrooms -- 12.3 Burstiness -- 12.4 Method -- 12.4.1 Course and Participants -- 12.4.2 The Lesson -- 12.4.3 The Data -- 12.4.4 The Episode -- 12.5 Analysis I: Burstiness -- 12.5.1 Burst 1: Lines 9-17 -- 12.5.2 Burst 2: Lines 18-20 -- 12.5.3 Burst 3: Lines 23-27 -- 12.5.4 Burst 4: Lines 31-32 -- 12.5.5 Burst 5: Lines 33-37 -- 12.6 Analysis II: Environment -- 12.6.1 Some Structure -- 12.6.2 Diversity -- 12.6.3 Psychological Safety -- 12.6.4 Welcome Criticism -- 12.6.5 Freedom to Shift Attention -- 12.6.6 Focus -- 12.6.7 Opportunity for Nonverbal Communication -- 12.7 Conclusions -- References -- Chapter 13: "Creativity Is Contagious" and "Collective": Progressions of Undergraduate Students' Perspectives on Mathematical Creativity -- 13.1 Introduction -- 13.2 Background Literature -- 13.3 Theoretical Perspective and Methodology -- 13.4 Method -- 13.4.1 Setting -- 13.4.2 Participants -- 13.4.3 Data Collection and Analysis -- 13.5 Results -- 13.5.1 Progression of Alice's Perspective.; 13.5.2 Progression of Stephanie's Perspective -- 13.5.3 Progression of Peyton's Perspective -- 13.5.4 Progression of Olivia's Perspective -- 13.6 Uniqueness and Similarities in Progressions Across Participants -- 13.7 Conclusion -- Appendix 1 -- References -- Chapter 14: The Role of Creativity in Teaching Mathematics Online -- 14.1 Introduction -- 14.2 Related Literature -- 14.3 Methods -- 14.4 Data Collection and Analysis -- 14.4.1 Interviews -- 14.4.2 Surveys -- 14.5 Findings -- 14.6 How Traits of Creativity Were Called Upon in the Transition -- 14.7 Constraints Leading to Creativity -- 14.8 Affordances of the Online Environment: More Higher-Level Thinking Allowed -- 14.9 Redefining What It Means to Learn Mathematics -- 14.10 The Need to Be Creative in Assessments -- 14.11 Supporting the Creative Process -- 14.12 More Time to "Stew" -- 14.13 Features of the Course that Played a Role in the Transition -- 14.14 Discussion -- 14.15 Conclusion -- Appendix A -- Interview Protocol -- Appendix B -- Pre-semester Survey -- Appendix C -- Post-semester Survey -- References -- Part IV: Research Application, Implications, and Future Directions -- Chapter 15: Concluding Thoughts on Research: Application, Implications, and Future Directions -- 15.1 Introduction -- 15.2 General Overview of the Book -- 15.3 Needed Research -- 15.4 Application of Research -- 15.4.1 Application of Research to Scholars -- 15.4.2 Application of Research to Practitioners -- References -- Index.

Active plasmonics and tuneable plasmonic materials [[electronic resource] /] / edited by Anatoly V. Zayats, Stefan Maier

• Record Nr.: UNINA9910139249303321
• Pubbl/distr/stampa: Hoboken, N.J., : Wiley ; Science Wise Publishing, c2013
• ISBN: 1-118-63439-X; 1-118-63442-X; 1-118-63445-4
• Descrizione fisica: 1 online resource (336 pages)
• Collana: A Wiley-Science Wise Co-Publication
• Classificazione: SCI074000
• Altri autori (Persone): ZayatsA. V (Anatoly V.); MaierStefan A
• Disciplina: 530.4/4
• Soggetti: Plasmons (Physics); Metamaterials
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references at the end of each chapters.
• Nota di contenuto: Active Plasmonics and Tuneable Plasmonic Metamaterials; Contents; Preface; Contributors; 1 Spaser, Plasmonic Amplification, and Loss Compensation; 1.1 Introduction to Spasers and Spasing; 1.2 Spaser Fundamentals; 1.2.1 Brief Overview of the Latest Progress in Spasers; 1.3 Quantum Theory of Spaser; 1.3.1 Surface Plasmon Eigenmodes and Their Quantization; 1.3.2 Quantum Density Matrix Equations (Optical Bloch Equations) for Spaser; 1.3.3 Equations for CW Regime; 1.3.4 Spaser operation in CW Mode; 1.3.5 Spaser as Ultrafast Quantum Nanoamplifier; 1.3.6 Monostable Spaser as a Nanoamplifier in Transient Regime1.4 Compensation of Loss by Gain and Spasing; 1.4.1 Introduction to Loss Compensation by Gain; 1.4.2 Permittivity of Nanoplasmonic Metamaterial; 1.4.3 Plasmonic Eigenmodes and Effective Resonant Permittivity of Metamaterials; 1.4.4 Conditions of Loss Compensation by Gain and Spasing; 1.4.5 Discussion of Spasing and Loss Compensation by Gain; 1.4.6 Discussion of Published Research on Spasing and Loss Compensations; Acknowledgments; References; 2 Nonlinear Effects in Plasmonic Systems; 2.1 Introduction; 2.2 Metallic Nonlinearities-Basic Effects and Models2.2.1 Local ; Nonlinearity-Transients by Carrier Heating; 2.2.2 Plasma Nonlinearity-The Ponderomotive Force; 2.2.3 Parametric Process in Metals; 2.2.4 Metal Damage and Ablation; 2.3 Nonlinear Propagation of Surface Plasmon Polaritons; 2.3.1 Nonlinear SPP Modes; 2.3.2 Plasmon Solitons; 2.3.3 Nonlinear Plasmonic Waveguide Couplers; 2.4 Localized Surface Plasmon Nonlinearity; 2.4.1 Cavities and Nonlinear Interactions Enhancement; 2.4.2 Enhancement of Nonlinear Vacuum Effects; 2.4.3 High Harmonic Generation; 2.4.4 Localized Field Enhancement Limitations2.5 Summary; Acknowledgments; References; 3 Plasmonic Nanorod Metamaterials as a Platform for Active Nanophotonics; 3.1 Introduction; 3.2 Nanorod Metamaterial Geometry; 3.3 Optical Properties; 3.3.1 Microscopic Description of the Metamaterial Electromagnetic Modes; 3.3.2 Effective Medium Theory of the Nanorod Metamaterial; 3.3.3 Epsilon-Near-Zero Metamaterials and Spatial Dispersion Effects; 3.3.4 Guided Modes in the Anisotropic Metamaterial Slab; 3.4 Nonlinear Effects in Nanorod Metamaterials; 3.4.1 Nanorod Metamaterial Hybridized with Nonlinear Dielectric3.4.2 Intrinsic Metal Nonlinearity of Nanorod Metamaterials; 3.5 Molecular Plasmonics in Metamaterials; 3.6 Electro-Optical Effects in Plasmonic Nanorod Metamaterial Hybridized with Liquid Crystals; 3.7 Conclusion; References; 4 Transformation Optics for Plasmonics; 4.1 Introduction; 4.2 The Conformal Transformation Approach; 4.2.1 A Set of Canonic Plasmonic Structures; 4.2.2 Perfect Singular Structures; 4.2.3 Singular Plasmonic Structures; 4.2.3.1 Conformal Mapping of Singular Structures; 4.2.3.2 Conformal Mapping of Blunt-Ended Singular Structures
• Sommario/riassunto: This book, edited by two of the most respected researchers in plasmonics, gives an overview of the current state in plasmonics and plasmonic-based metamaterials, with an emphasis on active functionalities and an eye to future developments. This book is multifunctional, useful for newcomers and scientists interested in applications of plasmonics and metamaterials as well as for established researchers in this multidisciplinary area.

Political Concepts : A Critical Lexicon / / Adi Ophir, Ann Laura Stoler; J. M. Bernstein

• Record Nr.: UNINA9910796351003321
• Autore: Ophir Adi
• Pubbl/distr/stampa: New York, NY : , : Fordham University Press, , [2018]; ©2018
• ISBN: 0-8232-7728-3; 0-8232-7671-6
• Descrizione fisica: 1 online resource (260 pages) : illustrations, tables
• Collana: Idiom: Inventing Writing Theory
• Altri autori (Persone): AnidjarGil; BalibarÉtienne <1942->; BernsteinJ. M; BilgramiAkeel; CohenJean L; CopjecJoan; GourgourisStathis; KalyvasAndreas; LezraJacques; OphirAdi; SpivakGayatri Chakravorty; StolerAnn Laura
• Disciplina: 320.01
• Soggetti: Political science - Philosophy
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Front matter -- CONTENTS -- INTRODUCTION. POLITICAL CONCEPTS: A CRITICAL LEXICON -- 1. ARCHĒ -- 2. BLOOD -- 3. COLONY -- 4. CONCEPT -- 5. CONSTITUENT POWER -- 6. DEVELOPMENT -- 7. EXPLOITATION -- 8. FEDERATION -- 9. IDENTITY -- 10. THE RULE OF LAW -- 11. SEXUAL DIFFERENCE -- 12. TRANSLATION -- BIBLIOGRAPHY -- CONTRIBUTORS -- INDEX
• Sommario/riassunto: Deciding what is and what is not political is a fraught, perhaps intractably opaque matter. Just who decides the question; on what grounds; to what ends—these seem like properly political questions ; themselves. Deciding what is political and what is not can serve to contain and restrain struggles, make existing power relations at once self-evident and opaque, and blur the possibility of reimagining them differently. Political Concepts seeks to revive our common political vocabulary—both everyday and academic—and to do so critically. Its entries take the form of essays in which each contributor presents her or his own original reflection on a concept posed in the traditional Socratic question format “What is X?” and asks what sort of work a rethinking of that concept can do for us now. The explicitness of a radical questioning of this kind gives authors both the freedom and the authority to engage, intervene in, critique, and transform the conceptual terrain they have inherited. Each entry, either implicitly or explicitly, attempts to re-open the question “What is political thinking?” Each is an effort to reinvent political writing. In this setting the political as such may be understood as a property, a field of interest, a dimension of human existence, a set of practices, or a kind of event. Political Concepts does not stand upon a decided concept of the political but returns in practice and in concern to the question “What is the political?” by submitting the question to a field of plural contention.The concepts collected in Political Concepts are “Arche” (Stathis Gourgouris), “Blood” (Gil Anidjar), “Colony” (Ann Laura Stoler), “Concept” (Adi Ophir), “Constituent Power” (Andreas Kalyvas), “Development” (Gayatri Spivak), “Exploitation” (Étienne Balibar), “Federation” (Jean Cohen), “Identity” (Akeel Bilgrami), “Rule of Law” (J. M. Bernstein), “Sexual Difference” (Joan Copjec), and “Translation” (Jacques Lezra)