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Record Nr. |
UNINA9910780040503321 |
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Titolo |
Advanced mathematical thinking [[electronic resource] /] / edited by David Tall |
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Pubbl/distr/stampa |
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Dordrecht ; ; Boston, : Kluwer Academic Publishers, c1991 |
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ISBN |
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1-280-20754-X |
9786610207541 |
0-306-47203-1 |
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Edizione |
[1st ed. 1991.] |
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Descrizione fisica |
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1 online resource (310 p.) |
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Collana |
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Mathematics education library ; ; v. 11 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Mathematics - Study and teaching |
Mathematics - Psychological aspects |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 261-274) and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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Advanced Mathematical Thinking has played a central role in the development of human civilization for over two millennia. Yet in all that time the serious study of the nature of advanced mathematical thinking – what it is, how it functions in the minds of expert mathematicians, how it can be encouraged and improved in the developing minds of students – has been limited to the reflections of a few significant |
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individuals scattered throughout the history of mathematics. In the twentieth century the theory of mathematical education during the compulsory years of schooling to age 16 has developed its own body of empirical research, theory and practice. But the extensions of such theories to more advanced levels have only occurred in the last few years. In 1976 The International Group for the Psychology of Mathematics (known as PME) was formed and has met annually at different venues round the world to share research ideas. In 1985 a Working Group of PME was formed to focus on Advanced Mathematical Thinking with a major aim of producing this volume. The text begins with an introductory chapter on the psychology of advanced mathema- cal thinking, with the remaining chapters grouped under three headings: • the nature of advanced mathematical thinking, • cognitive theory, and • reviews of the progress of cognitive research into different areas of advanced mathematics. |
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2. |
Record Nr. |
UNINA9910346854603321 |
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Autore |
Puy Portillo María |
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Titolo |
Benefits of Resveratrol Supplementation / María P. Portillo, Alfredo Fernandez-Quintela |
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Pubbl/distr/stampa |
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MDPI - Multidisciplinary Digital Publishing Institute, 2019 |
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Basel, Switzerland : , : MDPI, , 2019 |
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ISBN |
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Descrizione fisica |
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1 electronic resource (260 p.) |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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In recent years, great attention has been paid to polyphenols due to their positive effects on health. One of the most widely-studied phenolic compounds is resveratrol. This molecule, which is naturally |
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present in some foods, shows beneficial effects on various physiological and biochemical processes, thus representing a potential tool for the prevention or the treatment of diseases highly prevalent in our society. Several of these beneficial effects have been observed in human beings, but others only in pre-clinical studies so far, and therefore, it is mandatory to continue with the scientific research in this field. Indeed, new knowledge concerning these issues could enable the development of novel functional foods or nutraceuticals, incorporating resveratrol, suitable for preventing or treating diseases such as cancer, cardiovascular diseases, obesity, dislipemia, insulin resistance and diabetes, liver diseases, etc. |
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