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Link de la búsquedaTeaching and Learning of Knot Theory in School Mathematics / SpringerLink (Online service) ; Akio Kawauchi ; Tomoko Yanagimoto (2012)
Título : Teaching and Learning of Knot Theory in School Mathematics Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Akio Kawauchi ; Tomoko Yanagimoto Editorial: Tokyo : Springer Japan Fecha de publicación: 2012 Otro editor: Imprint: Springer Número de páginas: XIV, 188 p. 327 illus., 93 illus. in color Il.: online resource ISBN/ISSN/DL: 978-4-431-54138-7 Idioma : Inglés (eng) Palabras clave: Mathematics Geometry Topology Study and teaching Education Clasificación: 51 Matemáticas Resumen: This book is the result of a joint venture between Professor Akio Kawauchi, Osaka City University, well-known for his research in knot theory, and the Osaka study group of mathematics education, founded by Professor Hirokazu Okamori and now chaired by his successor Professor Tomoko Yanagimoto, Osaka Kyoiku University. The seven chapters address the teaching and learning of knot theory from several perspectives. Readers will find an extremely clear and concise introduction to the fundamentals of knot theory, an overview of curricular developments in Japan, and in particular a series of teaching experiments at all levels which not only demonstrate the creativity and the professional expertise of the members of the study group, but also give a lively impression of students’ learning processes. In addition the reports show that elementary knot theory is not just a preparation for advanced knot theory but also an excellent means to develop spatial thinking. The book can be highly recommended for several reasons: First of all, and that is the main intention of the book, it serves as a comprehensive text for teaching and learning knot theory. Moreover it provides a model for cooperation between mathematicians and mathematics educators based on substantial mathematics. And finally it is a thorough introduction to the Japanese art of lesson studies–again in the context of substantial mathematics En línea: http://dx.doi.org/10.1007/978-4-431-54138-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33026 Teaching and Learning of Knot Theory in School Mathematics [documento electrónico] / SpringerLink (Online service) ; Akio Kawauchi ; Tomoko Yanagimoto . - Tokyo : Springer Japan : Imprint: Springer, 2012 . - XIV, 188 p. 327 illus., 93 illus. in color : online resource.
ISBN : 978-4-431-54138-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Geometry Topology Study and teaching Education Clasificación: 51 Matemáticas Resumen: This book is the result of a joint venture between Professor Akio Kawauchi, Osaka City University, well-known for his research in knot theory, and the Osaka study group of mathematics education, founded by Professor Hirokazu Okamori and now chaired by his successor Professor Tomoko Yanagimoto, Osaka Kyoiku University. The seven chapters address the teaching and learning of knot theory from several perspectives. Readers will find an extremely clear and concise introduction to the fundamentals of knot theory, an overview of curricular developments in Japan, and in particular a series of teaching experiments at all levels which not only demonstrate the creativity and the professional expertise of the members of the study group, but also give a lively impression of students’ learning processes. In addition the reports show that elementary knot theory is not just a preparation for advanced knot theory but also an excellent means to develop spatial thinking. The book can be highly recommended for several reasons: First of all, and that is the main intention of the book, it serves as a comprehensive text for teaching and learning knot theory. Moreover it provides a model for cooperation between mathematicians and mathematics educators based on substantial mathematics. And finally it is a thorough introduction to the Japanese art of lesson studies–again in the context of substantial mathematics En línea: http://dx.doi.org/10.1007/978-4-431-54138-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33026 Ejemplares
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Título : Early Algebraization : A Global Dialogue from Multiple Perspectives Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Jinfa Cai ; Eric Knuth Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2011 Colección: Advances in Mathematics Education, ISSN 1869-4918 Número de páginas: XXIV, 624 p Il.: online resource ISBN/ISSN/DL: 978-3-642-17735-4 Idioma : Inglés (eng) Palabras clave: Education International education Comparative Curriculums (Courses of study) Curricula Mathematics Study and teaching Teaching Teacher Learning & Instruction Curriculum Studies Clasificación: 51 Matemáticas Resumen: In recent years there has been increased interest in the development of students’ algebraic thinking in the elementary and middle school grades. This important and timely new volume contains the most comprehensive collection of research focused on early algebraization. The volume’s authors—leading international mathematics education scholars—present perspectives on early algebraization that promote a global dialogue on the topic. Research is presented from many parts of the world, including Asia, Australasia, Western and Eastern Europe, and North America. The volume authors consider issues concerning early algebraization from three fundamental perspectives—curricular, cognitive, and instructional. The chapters in this volume not only represent the state of the art about research on early algebraization, but also provide suggestions for future research. “This volume on early algebraization reveals the rich diversity that characterizes the rapidly evolving field of early algebra .… this volume offers to researchers, teachers, curriculum developers, professional development educators, and policy makers alike some of the most recent thinking in the field.” (Carolyn Kieran) Nota de contenido: Series Foreword. SECTION 1: Introduction. SECTION 2 -- Curricular Perspective -- SECTION 3. Cognitive Perspective -- SECTION 4. Instructional Perspective -- SECTION 5. Perspectives for Research and Teaching En línea: http://dx.doi.org/10.1007/978-3-642-17735-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33404 Early Algebraization : A Global Dialogue from Multiple Perspectives [documento electrónico] / SpringerLink (Online service) ; Jinfa Cai ; Eric Knuth . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2011 . - XXIV, 624 p : online resource. - (Advances in Mathematics Education, ISSN 1869-4918) .
ISBN : 978-3-642-17735-4
Idioma : Inglés (eng)
Palabras clave: Education International education Comparative Curriculums (Courses of study) Curricula Mathematics Study and teaching Teaching Teacher Learning & Instruction Curriculum Studies Clasificación: 51 Matemáticas Resumen: In recent years there has been increased interest in the development of students’ algebraic thinking in the elementary and middle school grades. This important and timely new volume contains the most comprehensive collection of research focused on early algebraization. The volume’s authors—leading international mathematics education scholars—present perspectives on early algebraization that promote a global dialogue on the topic. Research is presented from many parts of the world, including Asia, Australasia, Western and Eastern Europe, and North America. The volume authors consider issues concerning early algebraization from three fundamental perspectives—curricular, cognitive, and instructional. The chapters in this volume not only represent the state of the art about research on early algebraization, but also provide suggestions for future research. “This volume on early algebraization reveals the rich diversity that characterizes the rapidly evolving field of early algebra .… this volume offers to researchers, teachers, curriculum developers, professional development educators, and policy makers alike some of the most recent thinking in the field.” (Carolyn Kieran) Nota de contenido: Series Foreword. SECTION 1: Introduction. SECTION 2 -- Curricular Perspective -- SECTION 3. Cognitive Perspective -- SECTION 4. Instructional Perspective -- SECTION 5. Perspectives for Research and Teaching En línea: http://dx.doi.org/10.1007/978-3-642-17735-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33404 Ejemplares
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Título : Excursions in the History of Mathematics Tipo de documento: documento electrónico Autores: Israel Kleiner ; SpringerLink (Online service) Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2012 Número de páginas: XXI, 347 p. 36 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-8268-2 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) History logic Number theory Study and teaching of Sciences Education Theory Logic Foundations Mathematics, general Clasificación: 51 Matemáticas Resumen: This book comprises five parts. The first three contain ten historical essays on important topics: number theory, calculus/analysis, and proof, respectively. Part four deals with several historically oriented courses, and Part five provides biographies of five mathematicians who played major roles in the historical events described in the first four parts of the work. Each of the first three parts—on number theory, calculus/analysis, and proof—begins with a survey of the respective subject and is followed in more depth by specialized themes. Among the specialized themes are: Fermat as the founder of modern number theory, Fermat’s Last Theorem from Fermat to Wiles, the history of the function concept, paradoxes, the principle of continuity, and an historical perspective on recent debates about proof. The fourth part contains essays describing mathematics courses inspired by history. The essays deal with numbers as a source of ideas in teaching, with famous problems, and with the stories behind various "great" quotations. The last part gives an account of five mathematicians—Dedekind, Euler, Gauss, Hilbert, and Weierstrass—whose lives and work we hope readers will find inspiring. Key features of the work include: * A preface describing in some detail the author's ideas on teaching mathematics courses, in particular, the role of history in such courses; * Explicit comments and suggestions for teachers on how history can affect the teaching of mathematics; * A description of a course in the history of mathematics taught in an In-Service Master's Program for high school teachers; * Inclusion of issues in the philosophy of mathematics; * An extensive list of relevant references at the end of each chapter. Excursions in the History of Mathematics was written with several goals in mind: to arouse mathematics teachers’ interest in the history of their subject; to encourage mathematics teachers with at least some knowledge of the history of mathematics to offer courses with a strong historical component; and to provide an historical perspective on a number of basic topics taught in mathematics courses Nota de contenido: A. Number Theory -- 1. Highlights in the History of Number Theory: 1700 BC - 2008 -- 2. Fermat: The Founder of Modern Number Theory -- 3. Fermat's Last Theorem: From Fermat to Wiles -- B. Calculus/Analysis -- 4. A History of the Infinitely Small and the Infinitely Large in Calculus, with Remarks for the Teacher -- 5. A Brief History of the Function Concept -- 6. More on the History of Functions, Including Remarks on Teaching -- C. Proof -- 7. Highlights in the Practice of Proof: 1600 BC - 2009 -- 8. Paradoxes: What are they Good for? -- 9. Principle of Continuity: 16th - 19th centuries -- 10. Proof: A Many-Splendored Thing -- D. Courses Inspired by History -- 11. Numbers as a Source of Mathematical Ideas -- 12. History of Complex Numbers, with a Moral for Teachers -- 13. A History-of-Mathematics Course for Teachers, Based on Great Quotations -- 14. Famous Problems in Mathematics -- E. Brief Biographies of Selected Mathematicians -- 15. The Biographies -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-8268-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32679 Excursions in the History of Mathematics [documento electrónico] / Israel Kleiner ; SpringerLink (Online service) . - Boston : Birkhäuser Boston, 2012 . - XXI, 347 p. 36 illus : online resource.
ISBN : 978-0-8176-8268-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) History logic Number theory Study and teaching of Sciences Education Theory Logic Foundations Mathematics, general Clasificación: 51 Matemáticas Resumen: This book comprises five parts. The first three contain ten historical essays on important topics: number theory, calculus/analysis, and proof, respectively. Part four deals with several historically oriented courses, and Part five provides biographies of five mathematicians who played major roles in the historical events described in the first four parts of the work. Each of the first three parts—on number theory, calculus/analysis, and proof—begins with a survey of the respective subject and is followed in more depth by specialized themes. Among the specialized themes are: Fermat as the founder of modern number theory, Fermat’s Last Theorem from Fermat to Wiles, the history of the function concept, paradoxes, the principle of continuity, and an historical perspective on recent debates about proof. The fourth part contains essays describing mathematics courses inspired by history. The essays deal with numbers as a source of ideas in teaching, with famous problems, and with the stories behind various "great" quotations. The last part gives an account of five mathematicians—Dedekind, Euler, Gauss, Hilbert, and Weierstrass—whose lives and work we hope readers will find inspiring. Key features of the work include: * A preface describing in some detail the author's ideas on teaching mathematics courses, in particular, the role of history in such courses; * Explicit comments and suggestions for teachers on how history can affect the teaching of mathematics; * A description of a course in the history of mathematics taught in an In-Service Master's Program for high school teachers; * Inclusion of issues in the philosophy of mathematics; * An extensive list of relevant references at the end of each chapter. Excursions in the History of Mathematics was written with several goals in mind: to arouse mathematics teachers’ interest in the history of their subject; to encourage mathematics teachers with at least some knowledge of the history of mathematics to offer courses with a strong historical component; and to provide an historical perspective on a number of basic topics taught in mathematics courses Nota de contenido: A. Number Theory -- 1. Highlights in the History of Number Theory: 1700 BC - 2008 -- 2. Fermat: The Founder of Modern Number Theory -- 3. Fermat's Last Theorem: From Fermat to Wiles -- B. Calculus/Analysis -- 4. A History of the Infinitely Small and the Infinitely Large in Calculus, with Remarks for the Teacher -- 5. A Brief History of the Function Concept -- 6. More on the History of Functions, Including Remarks on Teaching -- C. Proof -- 7. Highlights in the Practice of Proof: 1600 BC - 2009 -- 8. Paradoxes: What are they Good for? -- 9. Principle of Continuity: 16th - 19th centuries -- 10. Proof: A Many-Splendored Thing -- D. Courses Inspired by History -- 11. Numbers as a Source of Mathematical Ideas -- 12. History of Complex Numbers, with a Moral for Teachers -- 13. A History-of-Mathematics Course for Teachers, Based on Great Quotations -- 14. Famous Problems in Mathematics -- E. Brief Biographies of Selected Mathematicians -- 15. The Biographies -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-8268-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32679 Ejemplares
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Título : The Aspiring Entrepreneurship Scholar : Strategies and Advice for a Successful Academic Career Tipo de documento: documento electrónico Autores: Dean A. Shepherd ; SpringerLink (Online service) Editorial: New York : Palgrave Macmillan US Fecha de publicación: 2016 Otro editor: Imprint: Palgrave Macmillan Número de páginas: IX, 119 p Il.: online resource ISBN/ISSN/DL: 978-1-137-58996-5 Idioma : Inglés (eng) Palabras clave: Business Printing Publishers and publishing Entrepreneurship Teaching Management Teacher Education Publishing Clasificación: 658.016.1 Creación de empresas. Emprendimiento Resumen: This book offers helpful insight and advice on how doctoral students and junior faculty can succeed as an entrepreneurship scholar. It invites them to think entrepreneurially to identify research opportunities, manage the publication process, achieve excellence in the classroom, secure a faculty position, and build a research record worthy of promotion and tenure. Drawing from his experience as a research scholar, editor, review board member, mentor, and reviewer of many promotion and tenure cases, author Dean Shepherd offers strategies and other pieces of advice for navigating the obstacles that can prevent a successful scholarly career. This book provides an overview and roadmap to help entrepreneurship scholars achieve success, and stimulates thought and discussion for doctoral students and junior and senior faculty to consider as they look to develop the next generation in academia Nota de contenido: 1. Introduction -- 2. Thinking entrepreneurially to identify research opportunities -- 3. Approaching and managing the publication process -- 4. Adopting an entrepreneurial mindset to achieve excellence in teaching -- 5. Securing an entrepreneurship faculty position -- 6. Building an entrepreneurship research record worthy of promotion -- 7. Conclusion En línea: http://dx.doi.org/10.1057/978-1-137-58996-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=41427 The Aspiring Entrepreneurship Scholar : Strategies and Advice for a Successful Academic Career [documento electrónico] / Dean A. Shepherd ; SpringerLink (Online service) . - New York : Palgrave Macmillan US : Imprint: Palgrave Macmillan, 2016 . - IX, 119 p : online resource.
ISBN : 978-1-137-58996-5
Idioma : Inglés (eng)
Palabras clave: Business Printing Publishers and publishing Entrepreneurship Teaching Management Teacher Education Publishing Clasificación: 658.016.1 Creación de empresas. Emprendimiento Resumen: This book offers helpful insight and advice on how doctoral students and junior faculty can succeed as an entrepreneurship scholar. It invites them to think entrepreneurially to identify research opportunities, manage the publication process, achieve excellence in the classroom, secure a faculty position, and build a research record worthy of promotion and tenure. Drawing from his experience as a research scholar, editor, review board member, mentor, and reviewer of many promotion and tenure cases, author Dean Shepherd offers strategies and other pieces of advice for navigating the obstacles that can prevent a successful scholarly career. This book provides an overview and roadmap to help entrepreneurship scholars achieve success, and stimulates thought and discussion for doctoral students and junior and senior faculty to consider as they look to develop the next generation in academia Nota de contenido: 1. Introduction -- 2. Thinking entrepreneurially to identify research opportunities -- 3. Approaching and managing the publication process -- 4. Adopting an entrepreneurial mindset to achieve excellence in teaching -- 5. Securing an entrepreneurship faculty position -- 6. Building an entrepreneurship research record worthy of promotion -- 7. Conclusion En línea: http://dx.doi.org/10.1057/978-1-137-58996-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=41427 Ejemplares
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Título : The Mathematical Experience, Study Edition Tipo de documento: documento electrónico Autores: Philip J. Davis ; SpringerLink (Online service) ; Reuben Hersh ; Elena Anne Marchisotto Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2012 Colección: Modern Birkhäuser Classics Número de páginas: XXV, 500 p. 139 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-8295-8 Idioma : Inglés (eng) Palabras clave: Mathematics Philosophy and social sciences science History Mathematical logic Study teaching Mathematics, general Education of Sciences Logic Foundations Science Clasificación: 51 Matemáticas Resumen: Winner of the 1983 National Book Award, The Mathematical Experience presented a highly insightful overview of mathematics that effectively conveyed its power and beauty to a large audience of mathematicians and non-mathematicians alike. The study edition of the work followed about a decade later, supplementing the original material of the book with exercises to provide a self-contained treatment usable for the classroom. This softcover version reproduces the study edition and includes epilogues by the three original authors to reflect on the book's content 15 years after its publication, and to demonstrate its continued applicability to the classroom. Moreover, The Companion Guide to the Mathematical Experience—originally published and sold separately—is freely available online to instructors who use the work, further enhancing its pedagogical value and making it an exceptionally useful and accessible resource for a wide range of lower-level courses in mathematics and mathematics education. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto (elena.marchisotto@csun.edu) upon request. Reviews [The authors] have tried to provide a book usable in a course for liberal arts students and for future secondary teachers. They have done much more! This course should be required of every undergraduate major employing the mathematical sciences. It differs from the “mathematics appreciation” courses—courses that are merely a collection of amusing puzzles and toy problems giving an illusion of a mathematical encounter—presently found in many institutions. Students of this course are introduced to the context in which mathematics exists and the incredible magnitude of words devoted to communicating mathematics (hundreds of thousands of theorems each year). How much mathematics can there be? they are asked. Instructors in a “Mathematical Experience” course must be prepared to respond to questions from students concerning the fundamental nature of the whole mathematical enterprise. Stimulated by their reading of the text, students will ask about the underlying logical and philosophical issues, the role of mathematical methods and their origins, the substance of contemporary mathematical advances, the meaning of rigor and proof in mathematics, the role of computational mathematics, and issues of teaching and learning. How real is the conflict between “pure” mathematics, as represented by G.H. Hardy’s statements, and “applied” mathematics? they may ask. Are there other kinds of mathematics, neither pure nor applied? This edition of the book provides a source of problems, collateral readings, references, essay and project assignments, and discussion guides for the course. I believe that it is likely that this course would be a challenge to many teachers and students alike, especially those teachers and students who are willing to follow their curiosity beyond the confines of this book and follow up on the many references that are provided. —Notices of the AMS (Kenneth C. Millett) This beautifully written book can be recommended to any cultivated person with a certain sophistication of thought, and also to the practicing mathematician who will find here a vantage point from which to make a tour d'horizon of his science. —Publ. Math. Debrecen This is an unusual book, being more a book about mathematics than a mathematics book. It includes mathematical issues, but also questions from the philosophy of mathematics, the psychology of mathematical discovery, the history of mathematics, and biographies of mathematicians, in short, a book about the mathematical experience broadly considered… The book found its way into "Much for liberal arts students" courses and into education courses directed at future teachers. Term paper topics, essay assignments, problems, computer applications, and suggested readings are included. This new material should greatly enhance the usefulness of this very creative book. The range of topics covered is immense and the contents cannot easily be summarized. The book makes excellent casual reading, would make a good textbook, or could easily be used as a supplement to nearly any course concerned with mathematics. —Zentralblatt MATH Nota de contenido: Preface -- Preface to the Study Edition -- Acknowledgements -- Introduction -- Overture -- 1. The Mathematical Landscape -- 2. Varieties of Mathematical Experience -- 3. Outer Issues -- 4. Inner Issues -- 5. Selected Topics in Mathematics -- 6. Teaching and Learning -- 7. From Certainty to Fallibility -- 8. Mathematical Reality -- Glossary -- Bibliography -- Index -- Epilogue En línea: http://dx.doi.org/10.1007/978-0-8176-8295-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32687 The Mathematical Experience, Study Edition [documento electrónico] / Philip J. Davis ; SpringerLink (Online service) ; Reuben Hersh ; Elena Anne Marchisotto . - Boston : Birkhäuser Boston, 2012 . - XXV, 500 p. 139 illus : online resource. - (Modern Birkhäuser Classics) .
ISBN : 978-0-8176-8295-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Philosophy and social sciences science History Mathematical logic Study teaching Mathematics, general Education of Sciences Logic Foundations Science Clasificación: 51 Matemáticas Resumen: Winner of the 1983 National Book Award, The Mathematical Experience presented a highly insightful overview of mathematics that effectively conveyed its power and beauty to a large audience of mathematicians and non-mathematicians alike. The study edition of the work followed about a decade later, supplementing the original material of the book with exercises to provide a self-contained treatment usable for the classroom. This softcover version reproduces the study edition and includes epilogues by the three original authors to reflect on the book's content 15 years after its publication, and to demonstrate its continued applicability to the classroom. Moreover, The Companion Guide to the Mathematical Experience—originally published and sold separately—is freely available online to instructors who use the work, further enhancing its pedagogical value and making it an exceptionally useful and accessible resource for a wide range of lower-level courses in mathematics and mathematics education. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto (elena.marchisotto@csun.edu) upon request. Reviews [The authors] have tried to provide a book usable in a course for liberal arts students and for future secondary teachers. They have done much more! This course should be required of every undergraduate major employing the mathematical sciences. It differs from the “mathematics appreciation” courses—courses that are merely a collection of amusing puzzles and toy problems giving an illusion of a mathematical encounter—presently found in many institutions. Students of this course are introduced to the context in which mathematics exists and the incredible magnitude of words devoted to communicating mathematics (hundreds of thousands of theorems each year). How much mathematics can there be? they are asked. Instructors in a “Mathematical Experience” course must be prepared to respond to questions from students concerning the fundamental nature of the whole mathematical enterprise. Stimulated by their reading of the text, students will ask about the underlying logical and philosophical issues, the role of mathematical methods and their origins, the substance of contemporary mathematical advances, the meaning of rigor and proof in mathematics, the role of computational mathematics, and issues of teaching and learning. How real is the conflict between “pure” mathematics, as represented by G.H. Hardy’s statements, and “applied” mathematics? they may ask. Are there other kinds of mathematics, neither pure nor applied? This edition of the book provides a source of problems, collateral readings, references, essay and project assignments, and discussion guides for the course. I believe that it is likely that this course would be a challenge to many teachers and students alike, especially those teachers and students who are willing to follow their curiosity beyond the confines of this book and follow up on the many references that are provided. —Notices of the AMS (Kenneth C. Millett) This beautifully written book can be recommended to any cultivated person with a certain sophistication of thought, and also to the practicing mathematician who will find here a vantage point from which to make a tour d'horizon of his science. —Publ. Math. Debrecen This is an unusual book, being more a book about mathematics than a mathematics book. It includes mathematical issues, but also questions from the philosophy of mathematics, the psychology of mathematical discovery, the history of mathematics, and biographies of mathematicians, in short, a book about the mathematical experience broadly considered… The book found its way into "Much for liberal arts students" courses and into education courses directed at future teachers. Term paper topics, essay assignments, problems, computer applications, and suggested readings are included. This new material should greatly enhance the usefulness of this very creative book. The range of topics covered is immense and the contents cannot easily be summarized. The book makes excellent casual reading, would make a good textbook, or could easily be used as a supplement to nearly any course concerned with mathematics. —Zentralblatt MATH Nota de contenido: Preface -- Preface to the Study Edition -- Acknowledgements -- Introduction -- Overture -- 1. The Mathematical Landscape -- 2. Varieties of Mathematical Experience -- 3. Outer Issues -- 4. Inner Issues -- 5. Selected Topics in Mathematics -- 6. Teaching and Learning -- 7. From Certainty to Fallibility -- 8. Mathematical Reality -- Glossary -- Bibliography -- Index -- Epilogue En línea: http://dx.doi.org/10.1007/978-0-8176-8295-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32687 Ejemplares
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