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Epistemological Foundations of Mathematical Experience [[electronic resource] /] / edited by Leslie P. Steffe
| Epistemological Foundations of Mathematical Experience [[electronic resource] /] / edited by Leslie P. Steffe |
| Edizione | [1st ed. 1991.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1991 |
| Descrizione fisica | 1 online resource (XVII, 312 p.) |
| Disciplina | 510/.7/1 |
| Collana | Recent Research in Psychology |
| Soggetto topico |
Psychology
Mathematics Psychology, general Mathematics, general |
| ISBN | 1-4612-3178-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Philosophical and Psychological Aspects of Constructivism -- Foundationalism and Constructivism -- Psychological Constructivism -- Foundations Revisited -- Overview of Chapters -- 2 The Import of Fodor’s Anti-Constructivist Argument -- Fodor’s Argument -- Reconstructing the Argument -- What’s Wrong with Contemporary Models of Representation? -- Why Should We Care? -- Interactivism: Outline of a Solution -- Conclusions -- 3 The Learning Paradox: A Plausible Counterexample -- A Guiding Analogy -- An Example of the Learning Paradox -- A Weak Form of the Innatist Hypothesis -- Learning the Initial Number Sequence -- A More General Reformulation of Learning -- Final Comments -- 4 Abstraction, Re-Presentation, and Reflection: An Interpretation of Experience and Piaget’s Approach -- Reflection -- Abstraction -- Re-Presentation -- The Power of Symbols -- Piaget’s Theory of Abstraction -- Form and Content -- Scheme Theory -- Four kinds of Abstraction -- The Question of Awareness -- Conclusion -- Philosophical Postscript -- 5 A Pre-Logical Model of Rationality -- Rationality as Logic -- Some Thoughts About Thought -- The Nature of Rationality -- The Necessity of Rationality -- The Rationality of Rationality -- The Rationality of Necessity -- The Nurturance of Rationality -- Conclusion -- 6 Recursion and the Mathematical Experience -- What is Recursion? -- What Contributes to Children’s Mathematical Experience? -- Mathematical Knowledge Building as a Recursive Activity -- Summary -- 7 The Role Mathematical Transformations and Practice in Mathematical Development -- Transfer Problem Illustration -- Plan of Chapter -- Acquiring Mental Maps as a Metaphor for Interactive Knowing -- Infant Number Skills -- Addition and Subtraction -- Preschoolers’ Understanding of One-to-One Correspondence -- Children’s Acquisition of Some Algebraic Manipulations -- Summary and Conclusions -- 8 The Concept of Exponential Functions: A Student’s Perspective -- The Traditional Account of Exponential Expressions and Exponential Functions -- Method -- Results -- Conclusions -- Discussion: Implications of Findings for Mathematics Education -- 9 Constructive Aspects of Reflective Abstraction in Advanced Mathematics -- Mathematical Knowledge and its Acquisition -- The Constructive Aspect of the Reflective Abstraction -- My Research Program -- Specific Mathematics Topics -- 10 Reflective Abstraction in Humanities Education: Thematic Images and Personal Schemas -- Piaget, Education, and Hermeneutics -- Reflective Abstraction of “Being Romantic” -- Equilibration and the Cognitive Compensations -- An Integrated Guiding Image -- 11 Enhancing School Mathematical Experience Through Constructive Computing Activity -- Aspects of Significant School Mathematics Experiences -- Experiential Aspects of Constructive Computing Activities -- Summary -- 12 To Experience is to Conceptualize: A Discussion of Epistemology and Mathematical Experience -- Construction of Mathematical Thought -- Curriculum and Pedagogy -- Methodology -- Mathematics Education as Paideia -- Postscript -- References -- Author Index. |
| Record Nr. | UNINA-9910480776403321 |
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Epistemological Foundations of Mathematical Experience [[electronic resource] /] / edited by Leslie P. Steffe
| Epistemological Foundations of Mathematical Experience [[electronic resource] /] / edited by Leslie P. Steffe |
| Edizione | [1st ed. 1991.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1991 |
| Descrizione fisica | 1 online resource (XVII, 312 p.) |
| Disciplina | 510/.7/1 |
| Collana | Recent Research in Psychology |
| Soggetto topico |
Psychology
Mathematics Psychology, general Mathematics, general |
| ISBN | 1-4612-3178-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Philosophical and Psychological Aspects of Constructivism -- Foundationalism and Constructivism -- Psychological Constructivism -- Foundations Revisited -- Overview of Chapters -- 2 The Import of Fodor’s Anti-Constructivist Argument -- Fodor’s Argument -- Reconstructing the Argument -- What’s Wrong with Contemporary Models of Representation? -- Why Should We Care? -- Interactivism: Outline of a Solution -- Conclusions -- 3 The Learning Paradox: A Plausible Counterexample -- A Guiding Analogy -- An Example of the Learning Paradox -- A Weak Form of the Innatist Hypothesis -- Learning the Initial Number Sequence -- A More General Reformulation of Learning -- Final Comments -- 4 Abstraction, Re-Presentation, and Reflection: An Interpretation of Experience and Piaget’s Approach -- Reflection -- Abstraction -- Re-Presentation -- The Power of Symbols -- Piaget’s Theory of Abstraction -- Form and Content -- Scheme Theory -- Four kinds of Abstraction -- The Question of Awareness -- Conclusion -- Philosophical Postscript -- 5 A Pre-Logical Model of Rationality -- Rationality as Logic -- Some Thoughts About Thought -- The Nature of Rationality -- The Necessity of Rationality -- The Rationality of Rationality -- The Rationality of Necessity -- The Nurturance of Rationality -- Conclusion -- 6 Recursion and the Mathematical Experience -- What is Recursion? -- What Contributes to Children’s Mathematical Experience? -- Mathematical Knowledge Building as a Recursive Activity -- Summary -- 7 The Role Mathematical Transformations and Practice in Mathematical Development -- Transfer Problem Illustration -- Plan of Chapter -- Acquiring Mental Maps as a Metaphor for Interactive Knowing -- Infant Number Skills -- Addition and Subtraction -- Preschoolers’ Understanding of One-to-One Correspondence -- Children’s Acquisition of Some Algebraic Manipulations -- Summary and Conclusions -- 8 The Concept of Exponential Functions: A Student’s Perspective -- The Traditional Account of Exponential Expressions and Exponential Functions -- Method -- Results -- Conclusions -- Discussion: Implications of Findings for Mathematics Education -- 9 Constructive Aspects of Reflective Abstraction in Advanced Mathematics -- Mathematical Knowledge and its Acquisition -- The Constructive Aspect of the Reflective Abstraction -- My Research Program -- Specific Mathematics Topics -- 10 Reflective Abstraction in Humanities Education: Thematic Images and Personal Schemas -- Piaget, Education, and Hermeneutics -- Reflective Abstraction of “Being Romantic” -- Equilibration and the Cognitive Compensations -- An Integrated Guiding Image -- 11 Enhancing School Mathematical Experience Through Constructive Computing Activity -- Aspects of Significant School Mathematics Experiences -- Experiential Aspects of Constructive Computing Activities -- Summary -- 12 To Experience is to Conceptualize: A Discussion of Epistemology and Mathematical Experience -- Construction of Mathematical Thought -- Curriculum and Pedagogy -- Methodology -- Mathematics Education as Paideia -- Postscript -- References -- Author Index. |
| Record Nr. | UNINA-9910789222403321 |
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Epistemological Foundations of Mathematical Experience / / edited by Leslie P. Steffe
| Epistemological Foundations of Mathematical Experience / / edited by Leslie P. Steffe |
| Edizione | [1st ed. 1991.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1991 |
| Descrizione fisica | 1 online resource (XVII, 312 p.) |
| Disciplina | 510/.7/1 |
| Collana | Recent Research in Psychology |
| Soggetto topico |
Psychology
Mathematics Psychology, general Mathematics, general |
| ISBN | 1-4612-3178-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Philosophical and Psychological Aspects of Constructivism -- Foundationalism and Constructivism -- Psychological Constructivism -- Foundations Revisited -- Overview of Chapters -- 2 The Import of Fodor’s Anti-Constructivist Argument -- Fodor’s Argument -- Reconstructing the Argument -- What’s Wrong with Contemporary Models of Representation? -- Why Should We Care? -- Interactivism: Outline of a Solution -- Conclusions -- 3 The Learning Paradox: A Plausible Counterexample -- A Guiding Analogy -- An Example of the Learning Paradox -- A Weak Form of the Innatist Hypothesis -- Learning the Initial Number Sequence -- A More General Reformulation of Learning -- Final Comments -- 4 Abstraction, Re-Presentation, and Reflection: An Interpretation of Experience and Piaget’s Approach -- Reflection -- Abstraction -- Re-Presentation -- The Power of Symbols -- Piaget’s Theory of Abstraction -- Form and Content -- Scheme Theory -- Four kinds of Abstraction -- The Question of Awareness -- Conclusion -- Philosophical Postscript -- 5 A Pre-Logical Model of Rationality -- Rationality as Logic -- Some Thoughts About Thought -- The Nature of Rationality -- The Necessity of Rationality -- The Rationality of Rationality -- The Rationality of Necessity -- The Nurturance of Rationality -- Conclusion -- 6 Recursion and the Mathematical Experience -- What is Recursion? -- What Contributes to Children’s Mathematical Experience? -- Mathematical Knowledge Building as a Recursive Activity -- Summary -- 7 The Role Mathematical Transformations and Practice in Mathematical Development -- Transfer Problem Illustration -- Plan of Chapter -- Acquiring Mental Maps as a Metaphor for Interactive Knowing -- Infant Number Skills -- Addition and Subtraction -- Preschoolers’ Understanding of One-to-One Correspondence -- Children’s Acquisition of Some Algebraic Manipulations -- Summary and Conclusions -- 8 The Concept of Exponential Functions: A Student’s Perspective -- The Traditional Account of Exponential Expressions and Exponential Functions -- Method -- Results -- Conclusions -- Discussion: Implications of Findings for Mathematics Education -- 9 Constructive Aspects of Reflective Abstraction in Advanced Mathematics -- Mathematical Knowledge and its Acquisition -- The Constructive Aspect of the Reflective Abstraction -- My Research Program -- Specific Mathematics Topics -- 10 Reflective Abstraction in Humanities Education: Thematic Images and Personal Schemas -- Piaget, Education, and Hermeneutics -- Reflective Abstraction of “Being Romantic” -- Equilibration and the Cognitive Compensations -- An Integrated Guiding Image -- 11 Enhancing School Mathematical Experience Through Constructive Computing Activity -- Aspects of Significant School Mathematics Experiences -- Experiential Aspects of Constructive Computing Activities -- Summary -- 12 To Experience is to Conceptualize: A Discussion of Epistemology and Mathematical Experience -- Construction of Mathematical Thought -- Curriculum and Pedagogy -- Methodology -- Mathematics Education as Paideia -- Postscript -- References -- Author Index. |
| Record Nr. | UNINA-9910827766303321 |
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Radical constructivism in action : building on the pioneering work of Ernst von Glasersfeld / / edited by Leslie P. Steffe and Patrick W. Thompson
| Radical constructivism in action : building on the pioneering work of Ernst von Glasersfeld / / edited by Leslie P. Steffe and Patrick W. Thompson |
| Pubbl/distr/stampa | New York : , : Falmer, , 2000 |
| Descrizione fisica | 1 online resource (344 p.) |
| Disciplina | 510/.71 |
| Altri autori (Persone) |
SteffeLeslie P
ThompsonPatrick W. <1949-> |
| Collana | Studies in mathematics education series |
| Soggetto topico |
Constructivism (Education)
Mathematics teachers - Training of Mathematics - Study and teaching Science teachers - Training of |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-135-69946-1
1-280-40627-5 9786610406272 0-203-48751-6 0-203-16904-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Book Cover; Title; Contents; List of Figures; Series Editor's Preface; Preamble Heinz von Foerster; Knowledge, Language, and Communication; Problems of Constructivism; The Topic of Entity as it Relates to Ernst von Glasersfeld's Constructivism; Ernst von Glasersfeld's Philosophy of Language: Roots, Concepts, Perspectives; Construction of the Self, Ethics, and Paideia; Constructivism and Paideia; Radical Constructivism: Notes on Viability, Ethics and Other Educational Issues; Constraints, Paideia and Occasioning: Can Mathematics Teaching be Part of Paideia?; Epistemological Origins of Ethics
Perspectives on Issues Concerning the Self, Paideia, Constraints and Viability, and EthicsPractice of Mathematics Education; Students' Constructions: A Necessity for Formalizations in Geometry; Professional Development in Recovery Education; Constructivism in Social Context; Perspectives on Practice in Mathematics Education; Teacher Education in Mathematics and Science; Science Teacher Preparation: An Attempt at Breaking the Re-Production Cycle of the Traditional Model of Teaching; Constructivism, Mathematics Teacher Education, and Research in Mathematics Teacher Development Themes and Issues in Mathematics Teacher EducationBecoming a Teacher-Researcher in a Constructivist Teaching Experiment; Perspectives on Constructivism in Teacher Education; Reflections and Directions; Radical Constructivism: Reflections and Directions; Notes on Contributors; Index |
| Record Nr. | UNINA-9910454948103321 |
| New York : , : Falmer, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Radical constructivism in action : building on the pioneering work of Ernst von Glasersfeld / / edited by Leslie P. Steffe and Patrick W. Thompson
| Radical constructivism in action : building on the pioneering work of Ernst von Glasersfeld / / edited by Leslie P. Steffe and Patrick W. Thompson |
| Pubbl/distr/stampa | New York : , : Falmer, , 2000 |
| Descrizione fisica | 1 online resource (344 p.) |
| Disciplina | 510/.71 |
| Altri autori (Persone) |
SteffeLeslie P
ThompsonPatrick W. <1949-> |
| Collana | Studies in mathematics education series |
| Soggetto topico |
Constructivism (Education)
Mathematics teachers - Training of Mathematics - Study and teaching Science teachers - Training of |
| ISBN |
1-135-69945-3
1-135-69946-1 1-280-40627-5 9786610406272 0-203-48751-6 0-203-16904-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Book Cover; Title; Contents; List of Figures; Series Editor's Preface; Preamble Heinz von Foerster; Knowledge, Language, and Communication; Problems of Constructivism; The Topic of Entity as it Relates to Ernst von Glasersfeld's Constructivism; Ernst von Glasersfeld's Philosophy of Language: Roots, Concepts, Perspectives; Construction of the Self, Ethics, and Paideia; Constructivism and Paideia; Radical Constructivism: Notes on Viability, Ethics and Other Educational Issues; Constraints, Paideia and Occasioning: Can Mathematics Teaching be Part of Paideia?; Epistemological Origins of Ethics
Perspectives on Issues Concerning the Self, Paideia, Constraints and Viability, and EthicsPractice of Mathematics Education; Students' Constructions: A Necessity for Formalizations in Geometry; Professional Development in Recovery Education; Constructivism in Social Context; Perspectives on Practice in Mathematics Education; Teacher Education in Mathematics and Science; Science Teacher Preparation: An Attempt at Breaking the Re-Production Cycle of the Traditional Model of Teaching; Constructivism, Mathematics Teacher Education, and Research in Mathematics Teacher Development Themes and Issues in Mathematics Teacher EducationBecoming a Teacher-Researcher in a Constructivist Teaching Experiment; Perspectives on Constructivism in Teacher Education; Reflections and Directions; Radical Constructivism: Reflections and Directions; Notes on Contributors; Index |
| Record Nr. | UNINA-9910779910503321 |
| New York : , : Falmer, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Radical constructivism in action : building on the pioneering work of Ernst von Glasersfeld / / edited by Leslie P. Steffe and Patrick W. Thompson
| Radical constructivism in action : building on the pioneering work of Ernst von Glasersfeld / / edited by Leslie P. Steffe and Patrick W. Thompson |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | New York, : Falmer, 2000 |
| Descrizione fisica | 1 online resource (344 p.) |
| Disciplina | 510/.71 |
| Altri autori (Persone) |
SteffeLeslie P
ThompsonPatrick W. <1949-> |
| Collana | Studies in mathematics education series |
| Soggetto topico |
Constructivism (Education)
Mathematics teachers - Training of Mathematics - Study and teaching Science teachers - Training of |
| ISBN |
1-135-69945-3
1-135-69946-1 1-280-40627-5 9786610406272 0-203-48751-6 0-203-16904-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Book Cover; Title; Contents; List of Figures; Series Editor's Preface; Preamble Heinz von Foerster; Knowledge, Language, and Communication; Problems of Constructivism; The Topic of Entity as it Relates to Ernst von Glasersfeld's Constructivism; Ernst von Glasersfeld's Philosophy of Language: Roots, Concepts, Perspectives; Construction of the Self, Ethics, and Paideia; Constructivism and Paideia; Radical Constructivism: Notes on Viability, Ethics and Other Educational Issues; Constraints, Paideia and Occasioning: Can Mathematics Teaching be Part of Paideia?; Epistemological Origins of Ethics
Perspectives on Issues Concerning the Self, Paideia, Constraints and Viability, and EthicsPractice of Mathematics Education; Students' Constructions: A Necessity for Formalizations in Geometry; Professional Development in Recovery Education; Constructivism in Social Context; Perspectives on Practice in Mathematics Education; Teacher Education in Mathematics and Science; Science Teacher Preparation: An Attempt at Breaking the Re-Production Cycle of the Traditional Model of Teaching; Constructivism, Mathematics Teacher Education, and Research in Mathematics Teacher Development Themes and Issues in Mathematics Teacher EducationBecoming a Teacher-Researcher in a Constructivist Teaching Experiment; Perspectives on Constructivism in Teacher Education; Reflections and Directions; Radical Constructivism: Reflections and Directions; Notes on Contributors; Index |
| Record Nr. | UNINA-9910817774603321 |
| New York, : Falmer, 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||