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Math games : skill-based practice for sixth grade / / authors, Ted H. Hull, Ruth Harbin Miles, Don S. Balka
Math games : skill-based practice for sixth grade / / authors, Ted H. Hull, Ruth Harbin Miles, Don S. Balka
Autore Hull Ted H.
Pubbl/distr/stampa Huntington Beach, California : , : Shell Education, , [2014]
Descrizione fisica 1 online resource (138 pages)
Disciplina 510.71
Soggetto topico Mathematics - Study and teaching
Soggetto genere / forma Electronic books.
ISBN 1-4258-9614-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910460665003321
Hull Ted H.  
Huntington Beach, California : , : Shell Education, , [2014]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Math games : skill-based practice for sixth grade / / authors, Ted H. Hull, Ruth Harbin Miles, Don S. Balka
Math games : skill-based practice for sixth grade / / authors, Ted H. Hull, Ruth Harbin Miles, Don S. Balka
Autore Hull Ted H.
Pubbl/distr/stampa Huntington Beach, California : , : Shell Education, , [2014]
Descrizione fisica 1 online resource (138 pages)
Disciplina 510.71
Soggetto topico Mathematics - Study and teaching
ISBN 1-4258-9614-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910798065803321
Hull Ted H.  
Huntington Beach, California : , : Shell Education, , [2014]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Math games : skill-based practice for sixth grade / / authors, Ted H. Hull, Ruth Harbin Miles, Don S. Balka
Math games : skill-based practice for sixth grade / / authors, Ted H. Hull, Ruth Harbin Miles, Don S. Balka
Autore Hull Ted H.
Pubbl/distr/stampa Huntington Beach, California : , : Shell Education, , [2014]
Descrizione fisica 1 online resource (138 pages)
Disciplina 510.71
Soggetto topico Mathematics - Study and teaching
ISBN 1-4258-9614-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910815723403321
Hull Ted H.  
Huntington Beach, California : , : Shell Education, , [2014]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mathematical Challenges For All [[electronic resource] /] / edited by Roza Leikin
Mathematical Challenges For All [[electronic resource] /] / edited by Roza Leikin
Edizione [1st ed. 2023.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Descrizione fisica 1 online resource (VII, 589 p. 215 illus., 112 illus. in color.)
Disciplina 510.71
Collana Research in Mathematics Education
Soggetto topico Mathematics—Study and teaching
Teaching
Study Skills
Education—Curricula
Mathematics Education
Pedagogy
Study and Learning Skills
Curriculum Studies
Ensenyament de la matemàtica
Mètodes d'estudi
Soggetto genere / forma Llibres electrònics
ISBN 3-031-18868-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Chapter 1. Unravelling the construct of mathematical challenge based on conceptual characteristics of mathematical tasks, instructional setting and socio-mathematical norms -- Part I. Mathematical challenges in curriculum and instructional design -- Chapter 2. Introduction to Section I Mathematical challenges in curriculum and instructional design -- Chapter 3. Development and stimulation of early core mathematical competencies in young children: results from the Leuven Wis and Co project -- Chapter 4. Mathematical modelling as a stimulus for curriculum and instructional reform in secondary school mathematics -- Chapter 5. Personalized mathematics and mathematics inquiry: A design framework for mathematics textbooks -- Chapter 6. MATH-KEY program: Opening mathematical minds by means of open tasks supported by dynamic applets -- Chapter 7. Making mathematics challenging through problem posing in the classroom -- Chapter 8. Challenging students to develop mathematical reasoning -- Chapter 9. Mathematical argumentation in small-group discussions of complex mathematical tasks in elementary teacher education settings -- Chapter 10. Commentary to Section I. Commentary on ‘Challenge' in terms of curriculum materials and task, the teacher’s role and the curriculum -- Part II. Kinds and variation of mathematically challenging tasks -- Chapter 11. Introduction to Section II Many faces of mathematical challenge -- Chapter 12. Probing Beneath the Surface of Resisting and Accepting Challenges in the Mathematics Classroom -- Chapter 13. Mathematical challenge in connecting advanced and secondary mathematics: Recognizing binary operations as functions -- Chapter 14. Challenging variations on a simple task -- Chapter 15. Visualization a pathway to mathematical challenging tasks -- Chapter 16. Challenges in designing and solving technology-based tasks -- Chapter 17. Creativity and Challenge: connections between task complexity and insight required for tasks solution -- Chapter 18. Challenging and assessing undergraduate students’ mathematical and pedagogical discourses through MathTASK activities -- Chapter 19. Commentary on Section II Making Mathematics Difficult? What Could Make a Mathematical Challenge Challenging? -- Part III. Collections of mathematical problems -- Chapter 20. Introduction to Section III In Search of Effectiveness and Meaningfulness -- Chapter 21. Problem Collections, and “The Unity of Mathematics” -- Chapter 22. Meeting the challenge of heterogeneity through the self-differentiation potential of mathematical modeling problems -- Chapter 23. Complexity of Geometry Problems as a Function of Field-dependency and Asymmetry of a Diagram -- Chapter 24. Problem Sets in School Textbooks: Examples from the United States -- Chapter 25. Exams in Russia as an Example of Problem Set Organization -- Chapter 26. Taiwanese Teachers’ Collection of Geometry Tasks for Classroom Teaching: A Cognitive Complexity Perspective -- Chapter 27. Flow and Variation Theory: Powerful Allies in Creating and Maintaining Thinking in the Classroom -- Chapter 28. Designing stepped tasks through investigations in Dynamic Geometry Environments -- Chapter 29. Commentary on Section III On Problems, Problem Solving, and Thinking Mathematically.
Record Nr. UNINA-9910682550503321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mathematical Competencies in the Digital Era [[electronic resource] /] / edited by Uffe Thomas Jankvist, Eirini Geraniou
Mathematical Competencies in the Digital Era [[electronic resource] /] / edited by Uffe Thomas Jankvist, Eirini Geraniou
Autore Jankvist Uffe Thomas
Edizione [1st ed. 2022.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022
Descrizione fisica 1 online resource (359 pages)
Disciplina 510.71
Collana Mathematics Education in the Digital Era
Soggetto topico Mathematics - Study and teaching 
Educational technology
Technical education
Study Skills
Mathematics Education
Digital Education and Educational Technology
Technology and Design education
Study and Learning Skills
Ensenyament de la matemàtica
Investigació
Soggetto genere / forma Llibres electrònics
ISBN 3-031-10141-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Part I: Setting the Scene -- Chapter 1. Introduction(Uffe Thomas Jankvist, Eirini Geraniou & Rikke Maagaard Gregersen) -- Chapter 2. About the Mathematical Competencies Framework and Potential Networking(Mogens Niss & Uffe Thomas Jankvist) -- Chapter 3. The Mathematical Competencies Framework and Digital Technologies(Eirini Geraniou & Morten Misfeldt) -- Part II: Examples of networking around the eight competencies -- Chapter 4. Mathematical Thinking Competency(Mathilde Kjær Pedersen & Paul Drijvers) -- Chapter 5. Mathematical Problem Handling Competency(Tomas Højgaard & Thomas Kaas) -- Chapter 6. Mathematical Modelling Competency(Tinne Hoff Kjeldsen & Kasper Bjerring & Britta Jessen) -- Chapter 7. Mathematical Reasoning Competency(Rikke Maagaard Gregersen & Anna Baccaglini-Frank) -- Chapter 8. Mathematical Representation Competency(Ingi Heinesen Højsted & Maria Allesandra Mariotti) -- Chapter 9. Mathematical Symbols and Formalism Competency(Ola Helenius & Linda Ahl) -- Chapter 10. Mathematical Communication Competency(Cecilie Carlsen Bach & Angelika Bikner-Ahsbahs) -- Chapter 11. Mathematical Tools and Aids Competency(Morten Misfeldt, Eirini Geraniou & Uffe Thomas Jankvist) -- Part III: Examples of networking around the three types of overview and judgment -- Chapter 12. The actual application of mathematics(Raimundo José Elicer & Morten Blomhøj) -- Chapter 13. The historical development of mathematics(Marianne Thomsen & Kathy Clark) -- Chapter 14. The nature of mathematics as a discipline(Maria Østergaard & Dandan Sun) -- Part IV: Broadening the Scene -- Chapter 15. KOM’s six teacher competencies - in the digital era(Charlotte Krog Skott & NN) -- Chapter 16. The KOM framework and PISA - in the digital era(Ross Turner & NN) -- Chapter 17. Mathematical competencies and computational thinking(Andreas Tamborg & Jonas Dreyøe & Boris Koichu) -- Chapter 18. Summary and suggested uses for the book(Mario Sánchez Aguilar).
Record Nr. UNINA-9910672435403321
Jankvist Uffe Thomas  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mathematical creativity : a developmental perspective / / Scott A. Chamberlin, Peter Liljedahl, Milos Savic , editors
Mathematical creativity : a developmental perspective / / Scott A. Chamberlin, Peter Liljedahl, Milos Savic , editors
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (252 pages)
Disciplina 510.71
Collana Research in mathematics education
Soggetto topico Mathematics - Study and teaching
Ensenyament de la matemàtica
Soggetto genere / forma Llibres electrònics
ISBN 3-031-14474-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
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.
Record Nr. UNISA-996499867003316
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Mathematical creativity : a developmental perspective / / Scott A. Chamberlin, Peter Liljedahl, Milos Savic , editors
Mathematical creativity : a developmental perspective / / Scott A. Chamberlin, Peter Liljedahl, Milos Savic , editors
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (252 pages)
Disciplina 510.71
Collana Research in mathematics education
Soggetto topico Mathematics - Study and teaching
Ensenyament de la matemàtica
Soggetto genere / forma Llibres electrònics
ISBN 3-031-14474-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
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.
Record Nr. UNINA-9910633916803321
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Mathematical Creativity and Mathematical Giftedness [[electronic resource] ] : Enhancing Creative Capacities in Mathematically Promising Students / / edited by Florence Mihaela Singer
Mathematical Creativity and Mathematical Giftedness [[electronic resource] ] : Enhancing Creative Capacities in Mathematically Promising Students / / edited by Florence Mihaela Singer
Edizione [1st ed. 2018.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Descrizione fisica 1 online resource (423 pages)
Disciplina 510.71
Collana ICME-13 Monographs
Soggetto topico Mathematics—Study and teaching 
Art education
Learning
Instruction
Educational psychology
Education—Psychology
Mathematics Education
Creativity and Arts Education
Learning & Instruction
Educational Psychology
ISBN 3-319-73156-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910299528103321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
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Mathematical Cultures [[electronic resource] ] : The London Meetings 2012-2014 / / edited by Brendan Larvor
Mathematical Cultures [[electronic resource] ] : The London Meetings 2012-2014 / / edited by Brendan Larvor
Edizione [1st ed. 2016.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016
Descrizione fisica 1 online resource (VIII, 460 p. 54 illus., 24 illus. in color.)
Disciplina 510.71
Collana Trends in the History of Science
Soggetto topico Mathematics
History
Mathematics—Study and teaching 
Philosophy and science
History of Mathematical Sciences
Mathematics Education
Philosophy of Science
ISBN 3-319-28582-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Understanding the cultural construction of school mathematics -- Envisioning Transformations – The Practice of Topology -- Creative Discomfort: The Culture of the Gelfand Seminar at Moscow University -- Mathematical Culture and Mathematics Education in Hungary in the XXth Century -- On the Emergence of a New Mathematical Object: an Ethnography of a Duality Transform -- What are we like… -- Mathematics as a social differentiating factor: men of letters, politicians and engineers in Brazil through the Nineteenth Century -- “The End of Proof”? The integration of different mathematical cultures as experimental mathematics comes of age -- Diversity in Proof Appraisal -- What would the mathematics curriculum look like if instead of concepts and techniques, values were the focus? -- Mathematics and Values -- Purity as a Value in the German-speaking area -- Values in Caring for Proof -- An empirical approach to the mathematical values of problem choice and argumentation -- The Notion of Fit as a Mathematical Value -- Mathematical Pull -- Mathematics and First Nations in Western Canada: from cultural destruction to a re-awakening of mathematical reflections -- Remunerative Combinatorics: Mathematicians and their Sponsors in the Mid-Twentieth Century -- Calling a Spade a Spade: Mathematics in the New Pattern of Division of Labour -- Mathematics and mathematical cultures in fiction: the case of Catherine Shaw -- Morality and Mathematics -- The Great Gibberish - Mathematics in Western Popular Culture -- Is Mathematics an issue of general education?.
Record Nr. UNINA-9910254072303321
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016
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Mathematical difficulties : psychology and intervention / / editor, Ann Dowker
Mathematical difficulties : psychology and intervention / / editor, Ann Dowker
Pubbl/distr/stampa London, : Academic, 2008
Descrizione fisica 1 online resource (273 p.)
Disciplina 510.71
Altri autori (Persone) DowkerAnn
Collana Educational psychology series
Soggetto topico Mathematical ability
Mathematical ability in children
Mathematics - Psychological aspects
ISBN 1-281-76236-9
9786611762360
0-08-055977-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; Mathematical Difficulties: Psychology and Intervention; Copyright Page; Contents; List of contributors; Introduction; Chapter 1. Neural Correlates of Number Processing and Calculation: Developmental Trajectories and Educational Implications; Introduction; Neuroanatomical Correlates of Number Processing and Calculation: Are They Identical in Developing and Mature Brain Systems?; Are Neuroimaging Studies Apt to Have Any Educational Implications?; Synopsis; Chapter 2. Toward a Developmental Cognitive Neuroscience Approach to the Study of Typical and Atypical Number Development
IntroductionNumber Processing in the Adult Brain; Number Processing in the Typically Developing Brain; Number Processing in the Atypically Developing Brain; Future Directions; Conclusions; Acknowledgments; Chapter 3. A Number Sense Assessment Tool for Identifying Children at Risk for Mathematical Difficulties; What Is Number Sense?; Components of Number Sense; Predictability of Number Sense; Developing a Number Sense Battery; Acknowledgments; Appendix; Chapter 4. The Essence of Early Childhood Mathematics Education and the Professional Development Needed to Support It
Social, Political, and Research InfluencesThe Content of Early Mathematics; The Different Components of Early Mathematics; What is Good Early Mathematics Teaching?; Teachers' Conceptions about EME; How Good is Early Mathematics Teaching? Are Teachers Ready for it?; The Status of EME Professional Development; An Example: Big Math for Little Kids; Needed Support for an EME Program; Conclusion; Chapter 5. Progression in Numeracy Ages 5-11: Results from the Leverhulme Longitudinal Study; Background and Aims; Methods and Data Sources; Results and Discussion; Conclusions
Chapter 6. An Analysis of Children's Numerical Difficulties with the Aid of a Dyscalculia Test Battery and a Presentation of Remedial Approaches to Facilitate Aspects of Numerical DevelopmentIntroduction; A Dyscalculia Test Battery; A Multisensory Remedial Approach for Learning the Multiplication Tables; Dyscalculia Test Battery Assessment; Dyscalculia Test Battery Assessment; Dyscalculia Test Battery Assessment; General Discussion and Conclusion; Acknowledgments; Chapter 7. Children With and Without Mathematics Difficulties: Aspects of Learner Characteristics in a Developmental Perspective
Results and DiscussionChapter 8. Number Development and Children with Specific Language Impairment; Introduction; Method; Results; Discussion; Acknowledgments; Chapter 9. The Performance of Dyslexic and Non-Dyslexic Boys at Division Sums; Introduction; Participants, Apparatus and Method; Results; Discussion; Some Practical Implications; Concluding Remarks; Chapter 10. Numeracy Recovery with Children with Arithmetical Difficulties: Intervention and Research; Part 1: Numeracy Recovery Scheme; Part 2: Study of Children with Arithmetical Dif. culties; Discussion; Acknowledgments
Chapter 11. Mathematics Recovery: An Early Number Program Focusing on Intensive Intervention
Record Nr. UNINA-9910832978803321
London, : Academic, 2008
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