Theory of Didactical Situations in Mathematics

Theory of Didactical Situations in Mathematics PDF Author: Guy Brousseau
Publisher: Springer Science & Business Media
ISBN: 0306472112
Category : Education
Languages : en
Pages : 316

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Book Description
This book is unique. It gathers texts which give the best presentation of the principles and key concepts of the Theory of Didactical Situations that Guy Brousseau developed in the period from 1970 to 1990. These texts provide a comprehensive presentation of the Theory. In order to facilitate the reading of certain points footnotes have been added, as well as preludes and interludes to place in context the chosen texts and clarify the construction of the book.

Theory of Didactical Situations in Mathematics

Theory of Didactical Situations in Mathematics PDF Author: Guy Brousseau
Publisher: Springer Science & Business Media
ISBN: 0306472112
Category : Education
Languages : en
Pages : 316

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Book Description
This book is unique. It gathers texts which give the best presentation of the principles and key concepts of the Theory of Didactical Situations that Guy Brousseau developed in the period from 1970 to 1990. These texts provide a comprehensive presentation of the Theory. In order to facilitate the reading of certain points footnotes have been added, as well as preludes and interludes to place in context the chosen texts and clarify the construction of the book.

Journal Des Instituteurs

Journal Des Instituteurs PDF Author:
Publisher:
ISBN:
Category : Education, Elementary
Languages : en
Pages : 970

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Book Description


Interfaces between Mathematical Practices and Mathematical Education

Interfaces between Mathematical Practices and Mathematical Education PDF Author: Gert Schubring
Publisher: Springer
ISBN: 303001617X
Category : Education
Languages : en
Pages : 201

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Book Description
This contributed volume investigates the active role of the different contexts of mathematics teaching on the evolution of the practices of mathematical concepts, with particular focus on their foundations. The book aims to deconstruct the strong and generally wide-held conviction that research in mathematics constitutes the only driving force for any progress in the development of mathematics as a field. In compelling and convincing contrast, these chapters aim to show the productive function of teaching, showcasing investigations from countries and regions throughout various eras, from Old Babylonia through the 20th Century. In so doing, they provide a critical reflection on the foundations of mathematics, as well as instigate new research questions, and explore the interfaces between teaching and research.

The Richness of the History of Mathematics

The Richness of the History of Mathematics PDF Author: Karine Chemla
Publisher: Springer Nature
ISBN: 3031408551
Category : Mathematics
Languages : en
Pages : 702

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Book Description
This book, a tribute to historian of mathematics Jeremy Gray, offers an overview of the history of mathematics and its inseparable connection to philosophy and other disciplines. Many different approaches to the study of the history of mathematics have been developed. Understanding this diversity is central to learning about these fields, but very few books deal with their richness and concrete suggestions for the “what, why and how” of these domains of inquiry. The editors and authors approach the basic question of what the history of mathematics is by means of concrete examples. For the “how” question, basic methodological issues are addressed, from the different perspectives of mathematicians and historians. Containing essays by leading scholars, this book provides a multitude of perspectives on mathematics, its role in culture and development, and connections with other sciences, making it an important resource for students and academics in the history and philosophy of mathematics.

Itinéraire mathématique

Itinéraire mathématique PDF Author: Marie-Antoinette Touyarot
Publisher:
ISBN:
Category :
Languages : fr
Pages : 47

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Book Description


Ramified Surfaces

Ramified Surfaces PDF Author: Michael Friedman
Publisher: Springer Nature
ISBN: 3031057201
Category : Mathematics
Languages : en
Pages : 258

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Book Description
The book offers an extensive study on the convoluted history of the research of algebraic surfaces, focusing for the first time on one of its characterizing curves: the branch curve. Starting with separate beginnings during the 19th century with descriptive geometry as well as knot theory, the book focuses on the 20th century, covering the rise of the Italian school of algebraic geometry between the 1900s till the 1930s (with Federigo Enriques, Oscar Zariski and Beniamino Segre, among others), the decline of its classical approach during the 1940s and the 1950s (with Oscar Chisini and his students), and the emergence of new approaches with Boris Moishezon’s program of braid monodromy factorization. By focusing on how the research on one specific curve changed during the 20th century, the author provides insights concerning the dynamics of epistemic objects and configurations of mathematical research. It is in this sense that the book offers to take the branch curve as a cross-section through the history of algebraic geometry of the 20th century, considering this curve as an intersection of several research approaches and methods. Researchers in the history of science and of mathematics as well as mathematicians will certainly find this book interesting and appealing, contributing to the growing research on the history of algebraic geometry and its changing images.

Cultures without Culturalism

Cultures without Culturalism PDF Author: Karine Chemla
Publisher: Duke University Press
ISBN: 0822373092
Category : Science
Languages : en
Pages : 432

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Book Description
Cultural accounts of scientific ideas and practices have increasingly come to be welcomed as a corrective to previous—and still widely held—theories of scientific knowledge and practices as universal. The editors caution, however, against the temptation to overgeneralize the work of culture, and to lapse into a kind of essentialism that flattens the range and variety of scientific work. The book refers to this tendency as culturalism. The contributors to the volume model a new path where historicized and cultural accounts of scientific practice retain their specificity and complexity without falling into the traps of culturalism. They examine, among other issues, the potential of using notions of culture to study behavior in financial markets; the ideology, organization, and practice of earthquake monitoring and prediction during China's Cultural Revolution; the history of quadratic equations in China; and how studying the "glass ceiling" and employment discrimination became accepted in the social sciences. Demonstrating the need to understand the work of culture as a fluid and dynamic process that directly both shapes and is shaped by scientific practice, Cultures without Culturalism makes an important intervention in science studies. Contributors. Bruno Belhoste, Karine Chemla, Caroline Ehrhardt, Fa-ti Fan,Kenji Ito, Evelyn Fox Keller, Guillaume Lachenal, Donald MacKenzie, Mary S. Morgan, Nancy J. Nersessian, David Rabouin, Hans-Jörg Rheinberger, Claude Rosental, Koen Vermeir

Tools and Mathematics

Tools and Mathematics PDF Author: John Monaghan
Publisher: Springer
ISBN: 3319023969
Category : Education
Languages : en
Pages : 497

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Book Description
This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has five parts. The first part reflects on doing a mathematical task with different tools, followed by a mathematician's account of tool use in his work. The second considers prehistory and history: tools in the development from ape to human; tools and mathematics in the ancient world; tools for calculating; and tools in mathematics instruction. The third part opens with a broad review of technology and intellectual trends, circa 1970, and continues with three case studies of approaches in mathematics education and the place of tools in these approaches. The fourth part considers issues related to mathematics instructions: curriculum, assessment and policy; the calculator debate; mathematics in the real world; and teachers' use of technology. The final part looks to the future: task and tool design and new forms of activity via connectivity and computer games.

Handbook of the History and Philosophy of Mathematical Practice

Handbook of the History and Philosophy of Mathematical Practice PDF Author: Bharath Sriraman
Publisher: Springer Nature
ISBN: 3031408462
Category :
Languages : en
Pages : 3221

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Book Description


Itinéraire mathématique

Itinéraire mathématique PDF Author: Marie-Antoinette Touyarot
Publisher:
ISBN:
Category :
Languages : fr
Pages : 269

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Book Description