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Advanced mathematical thinking [[electronic resource] /] / edited by David Tall
| Advanced mathematical thinking [[electronic resource] /] / edited by David Tall |
| Edizione | [1st ed. 1991.] |
| Pubbl/distr/stampa | Dordrecht ; ; Boston, : Kluwer Academic Publishers, c1991 |
| Descrizione fisica | 1 online resource (310 p.) |
| Disciplina | 510/.71 |
| Altri autori (Persone) | TallDavid Orme |
| Collana | Mathematics education library |
| Soggetto topico |
Mathematics - Study and teaching
Mathematics - Psychological aspects |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-20754-X
9786610207541 0-306-47203-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The Psychology of Advanced Mathematical Thinking -- The Nature of Advanced Mathematical Thingking -- Advanced Mathematical Thinking Processes -- Mathematical Creativity -- Mathematical Proof -- Cognitive Theory of Advanced Mathematical Thinking -- The Role of Definitions in the Teaching and Learning of Mathematics -- The Role of Conceptual Entities and Their Symbols in Building Advanced Mathematical Concepts -- Reflective Abstraction in Advanced Mathematical Thinking -- Research into the Teaching and Learning of Advanced Mathematical Thinking -- Research in Teaching and Learning Mathematics at an Advanced Level -- Functions and Associated Learning Difficulties -- Limits -- Analysis -- The Role of Studients’ Intuitions of Infinity in Teaching the Cantorian Theory -- Research on Mathematical Proof -- Advanced Mathematical Thinking and the Computer -- Epilogue -- Reflections. |
| Record Nr. | UNINA-9910454672303321 |
| Dordrecht ; ; Boston, : Kluwer Academic Publishers, c1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advanced mathematical thinking [[electronic resource] /] / edited by David Tall
| Advanced mathematical thinking [[electronic resource] /] / edited by David Tall |
| Edizione | [1st ed. 1991.] |
| Pubbl/distr/stampa | Dordrecht ; ; Boston, : Kluwer Academic Publishers, c1991 |
| Descrizione fisica | 1 online resource (310 p.) |
| Disciplina | 510/.71 |
| Altri autori (Persone) | TallDavid Orme |
| Collana | Mathematics education library |
| Soggetto topico |
Mathematics - Study and teaching
Mathematics - Psychological aspects |
| ISBN |
1-280-20754-X
9786610207541 0-306-47203-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The Psychology of Advanced Mathematical Thinking -- The Nature of Advanced Mathematical Thingking -- Advanced Mathematical Thinking Processes -- Mathematical Creativity -- Mathematical Proof -- Cognitive Theory of Advanced Mathematical Thinking -- The Role of Definitions in the Teaching and Learning of Mathematics -- The Role of Conceptual Entities and Their Symbols in Building Advanced Mathematical Concepts -- Reflective Abstraction in Advanced Mathematical Thinking -- Research into the Teaching and Learning of Advanced Mathematical Thinking -- Research in Teaching and Learning Mathematics at an Advanced Level -- Functions and Associated Learning Difficulties -- Limits -- Analysis -- The Role of Studients’ Intuitions of Infinity in Teaching the Cantorian Theory -- Research on Mathematical Proof -- Advanced Mathematical Thinking and the Computer -- Epilogue -- Reflections. |
| Record Nr. | UNINA-9910780040503321 |
| Dordrecht ; ; Boston, : Kluwer Academic Publishers, c1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advanced mathematical thinking / / edited by David Tall
| Advanced mathematical thinking / / edited by David Tall |
| Edizione | [1st ed. 1991.] |
| Pubbl/distr/stampa | Dordrecht ; ; Boston, : Kluwer Academic Publishers, c1991 |
| Descrizione fisica | 1 online resource (310 p.) |
| Disciplina | 510/.71 |
| Altri autori (Persone) | TallDavid Orme |
| Collana | Mathematics education library |
| Soggetto topico |
Mathematics - Study and teaching
Mathematics - Psychological aspects |
| ISBN |
1-280-20754-X
9786610207541 0-306-47203-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The Psychology of Advanced Mathematical Thinking -- The Nature of Advanced Mathematical Thingking -- Advanced Mathematical Thinking Processes -- Mathematical Creativity -- Mathematical Proof -- Cognitive Theory of Advanced Mathematical Thinking -- The Role of Definitions in the Teaching and Learning of Mathematics -- The Role of Conceptual Entities and Their Symbols in Building Advanced Mathematical Concepts -- Reflective Abstraction in Advanced Mathematical Thinking -- Research into the Teaching and Learning of Advanced Mathematical Thinking -- Research in Teaching and Learning Mathematics at an Advanced Level -- Functions and Associated Learning Difficulties -- Limits -- Analysis -- The Role of Studients’ Intuitions of Infinity in Teaching the Cantorian Theory -- Research on Mathematical Proof -- Advanced Mathematical Thinking and the Computer -- Epilogue -- Reflections. |
| Record Nr. | UNINA-9910812242103321 |
| Dordrecht ; ; Boston, : Kluwer Academic Publishers, c1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The foundations of mathematics / / Ian Stewart and David Tall
| The foundations of mathematics / / Ian Stewart and David Tall |
| Autore | Stewart Ian <1945-> |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | New York, New York : , : Oxford University Press, , 2015 |
| Descrizione fisica | 1 online resource (409 p.) |
| Disciplina | 510 |
| Soggetto topico |
Mathematics
Logic, Symbolic and mathematical |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-19-870644-8
0-19-101647-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover ""; ""Preface to the Second Edition""; ""Preface to the First Edition""; ""Contents""; ""Part I The Intuitive Background""; ""1 Mathematical Thinking""; ""2 Number Systems""; ""Part II The Beginnings of Formalisation""; ""3 Sets""; ""4 Relations""; ""5 Functions""; ""6 Mathematical Logic""; ""7 Mathematical Proof""; ""Part III The Development of Axiomatic Systems""; ""8 Natural Numbers and Proof by Induction""; ""9 Real Numbers""; ""10 Real Numbers as a Complete Ordered Field""; ""11 Complex Numbers and Beyond""; ""Part IV Using Axiomatic Systems""
""12 Axiomatic Systems, Structure Theorems, and Flexible Thinking""""13 Permutations and Groups""; ""14 Cardinal Numbers""; ""15 Infinitesimals""; ""Part V Strengthening the Foundations""; ""16 Axioms for Set Theory""; "" Appendix�How to Read Proofs: The 'Self-Explanation' Strategy""; "" References and Further Reading""; "" Index"" |
| Record Nr. | UNINA-9910460462103321 |
Stewart Ian <1945->
|
||
| New York, New York : , : Oxford University Press, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The foundations of mathematics / / Ian Stewart and David Tall
| The foundations of mathematics / / Ian Stewart and David Tall |
| Autore | Stewart Ian <1945-> |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | New York, New York : , : Oxford University Press, , 2015 |
| Descrizione fisica | 1 online resource (409 p.) |
| Disciplina | 510 |
| Soggetto topico |
Mathematics
Logic, Symbolic and mathematical |
| ISBN |
0-19-870644-8
0-19-101647-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Preface to the Second Edition -- Preface to the First Edition -- Contents -- Part I The Intuitive Background -- 1 Mathematical Thinking -- 2 Number Systems -- Part II The Beginnings of Formalisation -- 3 Sets -- 4 Relations -- 5 Functions -- 6 Mathematical Logic -- 7 Mathematical Proof -- Part III The Development of Axiomatic Systems -- 8 Natural Numbers and Proof by Induction -- 9 Real Numbers -- 10 Real Numbers as a Complete Ordered Field -- 11 Complex Numbers and Beyond -- Part IV Using Axiomatic Systems -- 12 Axiomatic Systems, Structure Theorems, and Flexible Thinking -- 13 Permutations and Groups -- 14 Cardinal Numbers -- 15 Infinitesimals -- Part V Strengthening the Foundations -- 16 Axioms for Set Theory -- Appendix: How to Read Proofs: The 'Self-Explanation' Strategy -- References and Further Reading -- Index. |
| Record Nr. | UNINA-9910787437903321 |
|
Stewart Ian <1945->
|
||
| New York, New York : , : Oxford University Press, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The foundations of mathematics / / Ian Stewart and David Tall
| The foundations of mathematics / / Ian Stewart and David Tall |
| Autore | Stewart Ian <1945-> |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | New York, New York : , : Oxford University Press, , 2015 |
| Descrizione fisica | 1 online resource (409 p.) |
| Disciplina | 510 |
| Soggetto topico |
Mathematics
Logic, Symbolic and mathematical |
| ISBN |
0-19-870644-8
0-19-101647-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Preface to the Second Edition -- Preface to the First Edition -- Contents -- Part I The Intuitive Background -- 1 Mathematical Thinking -- 2 Number Systems -- Part II The Beginnings of Formalisation -- 3 Sets -- 4 Relations -- 5 Functions -- 6 Mathematical Logic -- 7 Mathematical Proof -- Part III The Development of Axiomatic Systems -- 8 Natural Numbers and Proof by Induction -- 9 Real Numbers -- 10 Real Numbers as a Complete Ordered Field -- 11 Complex Numbers and Beyond -- Part IV Using Axiomatic Systems -- 12 Axiomatic Systems, Structure Theorems, and Flexible Thinking -- 13 Permutations and Groups -- 14 Cardinal Numbers -- 15 Infinitesimals -- Part V Strengthening the Foundations -- 16 Axioms for Set Theory -- Appendix: How to Read Proofs: The 'Self-Explanation' Strategy -- References and Further Reading -- Index. |
| Record Nr. | UNINA-9910819903003321 |
|
Stewart Ian <1945->
|
||
| New York, New York : , : Oxford University Press, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||