Interfaces between Mathematical Practices and Mathematical Education, Gert Schubring
Автор: Hayes Brian Название: Foolproof, and Other Mathematical Meditations ISBN: 026203686X ISBN-13(EAN): 9780262036863 Издательство: MIT Press Рейтинг: Цена: 4224.00 р. Наличие на складе: Нет в наличии.
Описание:
A non-mathematician explores mathematical terrain, reporting accessibly and engagingly on topics from Sudoku to probability.
Brian Hayes wants to convince us that mathematics is too important and too much fun to be left to the mathematicians. Foolproof, and Other Mathematical Meditations is his entertaining and accessible exploration of mathematical terrain both far-flung and nearby, bringing readers tidings of mathematical topics from Markov chains to Sudoku. Hayes, a non-mathematician, argues that mathematics is not only an essential tool for understanding the world but also a world unto itself, filled with objects and patterns that transcend earthly reality. In a series of essays, Hayes sets off to explore this exotic terrain, and takes the reader with him.
Math has a bad reputation: dull, difficult, detached from daily life. As a talking Barbie doll opined, "Math class is tough." But Hayes makes math seem fun. Whether he's tracing the genealogy of a well-worn anecdote about a famous mathematical prodigy, or speculating about what would happen to a lost ball in the nth dimension, or explaining that there are such things as quasirandom numbers, Hayes wants readers to share his enthusiasm. That's why he imagines a cinematic treatment of the discovery of the Riemann zeta function ("The year: 1972. The scene: Afternoon tea in Fuld Hall at the Institute for Advanced Study in Princeton, New Jersey"), explains that there is math in Sudoku after all, and describes better-than-average averages. Even when some of these essays involve a hike up the learning curve, the view from the top is worth it.
In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of mathematics away from questions about the reality and truth of mathematical entities and statements and toward a focus on what mathematicians actually do--and how that evolves and changes over time. How do new mathematical entities come to be? What internal, natural, cognitive, and social constraints shape mathematical cultures? How do mathematical signs form and reform their meanings? How can we model the cognitive processes at play in mathematical evolution? And how does mathematics tie together ideas, reality, and applications?
Roi Wagner uniquely combines philosophical, historical, and cognitive studies to paint a fully rounded image of mathematics not as an absolute ideal but as a human endeavor that takes shape in specific social and institutional contexts. The book builds on ancient, medieval, and modern case studies to confront philosophical reconstructions and cutting-edge cognitive theories. It focuses on the contingent semiotic and interpretive dimensions of mathematical practice, rather than on mathematics' claim to universal or fundamental truths, in order to explore not only what mathematics is, but also what it could be. Along the way, Wagner challenges conventional views that mathematical signs represent fixed, ideal entities; that mathematical cognition is a rigid transfer of inferences between formal domains; and that mathematics' exceptional consensus is due to the subject's underlying reality.
The result is a revisionist account of mathematical philosophy that will interest mathematicians, philosophers, and historians of science alike.
-- "Choice"
Автор: Guida de Abreu; Alan Bishop; Norma C. Presmeg Название: Transitions Between Contexts of Mathematical Practices ISBN: 9048157706 ISBN-13(EAN): 9789048157709 Издательство: Springer Рейтинг: Цена: 23053.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses mathematics learners in transition and their practices in different contexts; Providing both empirical studies and significant theoretical reflections, it will appeal to researchers and postgraduate students in mathematics education, cultural psychology, multicultural education, immigrant and indigenous education.
Описание: Part I . Introduction.- Chapter 1. An Overview of Diverse Mathematical Practices in Brazil: An Ethnomathematical Perspective in Action.- Part II. Africanities.- Chapter 2. African-based Cultural Practices and Mathematics Practices: Decolonizing Knowledge.- Chapter 3. The Mandira Quilombola Community and the Production of an Anthropophagic Identity.- Chapter 4. African and Afro-Brazilian Roots for Mathematics Teaching: Decolonize the Curriculum.- Part III. Indigenous Diversities.- Chapter 5. Ethnomathematics in the Brazilian Indigenous Contexts.- Chapter 6. Knowledge Networks in the Training of Indigenous Mathematics Teacher.- Chapter 7. Ethnomatthematics Research on Indigenous Peoples' Knowledge and Practices.- Part IV. Urban Diversities.- Chapter 8. Intertwining the Ethnomathematics and the Deaf Culture to Promote Financial Education for Deaf Students.- Chapter 9. Practices in Ethnomathematics, University, and Basic Education Schools: Possible Interconnetions.- Part V. Diverse Cultural Practices.- Chapter 10. Research in Ethnomathematics in the Context of the Professional Master Degree: An Analysis of Five Theses Developed at UFRN.- Chapter 11. Unity in Differences: Reflections on the Doing of Ethnomodelling and Dialogue through Connecting Ethnomathematics and Modelling.- Chapter 12. An Analysis of the Subjection of (Ethno)mathematical Knowledge in the Study Plan of Brazil's Landless Workers' Movement.- Part VI. Conclusions.- Chapter 13. Concluding Remarks about Diverse Mathematical Practices in the Brazilian Context in an Ethnomathematical Perspective: Past, Present, and Future.
Автор: Schappacher Название: Framing Global Mathematics ISBN: 3030956857 ISBN-13(EAN): 9783030956851 Издательство: Springer Рейтинг: Цена: 5589.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This open access book is about the shaping of international relations in mathematics over the last two hundred years. Since 1950 the current IMU has played an increasing role in defining mathematical excellence, as is shown both in the historical narrative and by analyzing data about the International Congresses of Mathematicians.
Автор: Schappacher Название: Framing Global Mathematics ISBN: 3030956822 ISBN-13(EAN): 9783030956820 Издательство: Springer Рейтинг: Цена: 5589.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This open access book is about the shaping of international relations in mathematics over the last two hundred years. Since 1950 the current IMU has played an increasing role in defining mathematical excellence, as is shown both in the historical narrative and by analyzing data about the International Congresses of Mathematicians.
Описание: Russell was important in publicising the former and tutoring the latter, and also for working with Moore in the conversion of British philosophy from neo-Hegelianism to the new analytic tradition in the 1900s, but his own work on logic and especially logicism was very muddled.
Автор: A. Ostrowski Название: Collected Mathematical Papers ISBN: 3034893604 ISBN-13(EAN): 9783034893602 Издательство: Springer Рейтинг: Цена: 11173.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: A. Ostrowski Название: Collected Mathematical Papers ISBN: 3034893477 ISBN-13(EAN): 9783034893473 Издательство: Springer Рейтинг: Цена: 11173.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Gerard Assayag; Hans G. Feichtinger Название: Mathematics and Music ISBN: 3642078362 ISBN-13(EAN): 9783642078361 Издательство: Springer Рейтинг: Цена: 18866.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance.
Описание: Part I . Introduction.- Chapter 1. An Overview of Diverse Mathematical Practices in Brazil: An Ethnomathematical Perspective in Action.- Part II. Africanities.- Chapter 2. African-based Cultural Practices and Mathematics Practices: Decolonizing Knowledge.- Chapter 3. The Mandira Quilombola Community and the Production of an Anthropophagic Identity.- Chapter 4. African and Afro-Brazilian Roots for Mathematics Teaching: Decolonize the Curriculum.- Part III. Indigenous Diversities.- Chapter 5. Ethnomathematics in the Brazilian Indigenous Contexts.- Chapter 6. Knowledge Networks in the Training of Indigenous Mathematics Teacher.- Chapter 7. Ethnomatthematics Research on Indigenous Peoples' Knowledge and Practices.- Part IV. Urban Diversities.- Chapter 8. Intertwining the Ethnomathematics and the Deaf Culture to Promote Financial Education for Deaf Students.- Chapter 9. Practices in Ethnomathematics, University, and Basic Education Schools: Possible Interconnetions.- Part V. Diverse Cultural Practices.- Chapter 10. Research in Ethnomathematics in the Context of the Professional Master Degree: An Analysis of Five Theses Developed at UFRN.- Chapter 11. Unity in Differences: Reflections on the Doing of Ethnomodelling and Dialogue through Connecting Ethnomathematics and Modelling.- Chapter 12. An Analysis of the Subjection of (Ethno)mathematical Knowledge in the Study Plan of Brazil's Landless Workers' Movement.- Part VI. Conclusions.- Chapter 13. Concluding Remarks about Diverse Mathematical Practices in the Brazilian Context in an Ethnomathematical Perspective: Past, Present, and Future.
Автор: Odo Diekmann; Stephan A.van Gils; Sjoerd M.V. Lune Название: Delay Equations ISBN: 1461286964 ISBN-13(EAN): 9781461286967 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The aim here is to provide an introduction to the mathematical theory of infinite dimensional dynamical systems by focusing on a relatively simple - yet rich - class of examples, delay differential equations.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
