The Legacy of Hans Freudenthal

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Publisher : Springer Science & Business Media
ISBN 13 : 9401733775
Total Pages : 163 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis The Legacy of Hans Freudenthal by : Leen Streefland

Download or read book The Legacy of Hans Freudenthal written by Leen Streefland and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Legacy of Freudenthal pays homage to Freudenthal and his work on mathematics, its history and education. Almost all authors were his scholars or co-workers. They testify to what they learned from him. Freudenthal himself contributes posthumously. His didactical phenomenology of the concept of force is both provocative and revealing in its originality, compared with what is usually found in physics instruction. Freudenthal is portrayed as a universal human being by Josette Adda. He made considerable contributions to mathematics itself, e.g. on homotopy theory and Lie groups in geometry. The exposition of Freudenthal's mathematical life and work is on Van Est's account. Henk Bos discusses his historical work. The essay review of the 8th edition of Hilbert's Grundlagen der Geometrie serves as a vehicle of thought. The main part of the book, however, concerns Freudenthal's work on mathematics education. Christine Keitel reviews his final book Revisiting Mathematics Education (1991). Fred Goffree describes Freudenthal's `Working on Mathematics Education' both from an historical as well as a theoretical perspective. Adrian Treffers analyses Freudenthal's influence on the development of realistic mathematics education at primary level in the Netherlands, especially his influence on the Wiskobas-project of the former IOWO. Freudenthal once predicted the disappearance of mathematics as an individual subject in education sometime around the year 2000, because it would by then have merged with integrated thematic contexts. Jan de Lange anticipates this future development and shows that Freudenthal's prediction will not come true after all. Reflective interludes unveil how he might have influenced those developments. Freudenthal contributed a wealth of ideas and conceptual tools to the development of mathematics education -- on contexts, didactical phenomenology, guided reinvention, mathematisation, the constitution of mental objects, the development of reflective thinking, levels in learning processes, the development of a mathematical attitude and so on -- but he did not design very much concrete material. Leen Streefland deals with the question of design from a theoretical point of view, while applying Freudenthal's ideas on changing perspective and shifting. For teachers, researchers, mathematics educators, mathematicians, educationalists, psychologists and policy makers.

Mathematics Education as a Research Domain: A Search for Identity

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Publisher : Springer
ISBN 13 : 9401151946
Total Pages : 244 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Mathematics Education as a Research Domain: A Search for Identity by : Anna Sierpinska

Download or read book Mathematics Education as a Research Domain: A Search for Identity written by Anna Sierpinska and published by Springer. This book was released on 2013-03-14 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established and culturally, politically, and economically justified institutions - namely, schools. Such knowledge cannot be built by mere juxtaposition of theories in disci plines such as psychology, sociology, and mathematics. Psychological theories focus on the individual learner. Theories of sociology of education look at the general laws of curriculum development, the specifics of pedagogic discourse as opposed to scientific discourse in general, the different possible pedagogic rela tions between the teacher and the taught, and other general problems in the inter face between education and society. Mathematics, aside from its theoretical contents, can be looked at from historical and epistemological points of view, clarifying the genetic development of its concepts, methods, and theories. This view can shed some light on the meaning of mathematical concepts and on the difficulties students have in teaching approaches that disregard the genetic development of these concepts.

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Author :
Publisher : Odile Jacob
ISBN 13 : 2738177263
Total Pages : 225 pages
Book Rating : 4.7/5 (381 download)

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Book Synopsis by :

Download or read book written by and published by Odile Jacob. This book was released on with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Role of the History of Mathematics in the Teaching/Learning Process

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Publisher : Springer Nature
ISBN 13 : 3031299000
Total Pages : 464 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis The Role of the History of Mathematics in the Teaching/Learning Process by : Sixto Romero Sanchez

Download or read book The Role of the History of Mathematics in the Teaching/Learning Process written by Sixto Romero Sanchez and published by Springer Nature. This book was released on 2023-06-15 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents multiple perspectives on the uses of the history of mathematics for teaching and learning, including the value of historical topics in challenging mathematics tasks, for provoking teachers’ reflection on the nature of mathematics, curriculum development questions that mirror earlier pedagogical choices in the history of mathematics education, and the history of technological innovations in the teaching and learning of mathematics. An ethnomathematical perspective on the history of mathematics challenges readers to appreciate the role of mathematics in perpetuating consequences of colonialism. Histories of the textbook and its uses offer interesting insights into how technology has changed the fundamental role of curriculum materials and classroom pedagogies. History is explored as a source for the training of teachers, for good puzzles and problems, and for a broad understanding of mathematics education policy. Third in a series of sourcebooks from the International Commission for the Study and Improvement of Mathematics Teaching, this collection of cutting-edge research, stories from the field, and policy implications is a contemporary and global perspective on current possibilities for the history of mathematics for mathematics education. This latest volume integrates discussions regarding history of mathematics, history of mathematics education and history of technology for education that have taken place at the Commission's recent annual conferences.

Méthodes mathématiques et numériques pour les équations aux dérivées partielles

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Publisher : Lavoisier
ISBN 13 : 2743064803
Total Pages : 382 pages
Book Rating : 4.7/5 (43 download)

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Book Synopsis Méthodes mathématiques et numériques pour les équations aux dérivées partielles by : CHASKALOVIC Joël

Download or read book Méthodes mathématiques et numériques pour les équations aux dérivées partielles written by CHASKALOVIC Joël and published by Lavoisier. This book was released on 2013-01-21 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Qu’il s’agisse d’applications en physique ou en mécanique, en médecine ou en biologie, mais aussi en économie, dans les médias et en marketing, ou encore dans le domaine des finances, la traduction phénoménologique du système étudié conduit très souvent à la résolution d’équations différentielles ou aux dérivées partielles. Incontestablement, ce sont les éléments finis qui ont bouleversé le monde de l’approximation numérique des équations aux dérivées partielles. Cet ouvrage est composé de deux parties : la première est un abrégé de cours portant sur les outils de base de l’analyse mathématique des équations aux dérivées partielles et la seconde contient des problèmes corrigés qui abordent l’approximation par éléments finis des formulations variationnelles des problèmes aux limites elliptiques. Des applications en mécanique des solides déformables, à la résistance des matériaux, en mécanique des fluides et en thermique ainsi que quelques problèmes non linéaires y sont présentés.Cet ouvrage s'adresse aux étudiants en sciences et techniques de l'ingénieur des universités et des grandes écoles.

Histoire Des Sciences Mathématiques Et Physiques: De thalès à Diophante

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Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Histoire Des Sciences Mathématiques Et Physiques: De thalès à Diophante by : Maximilien Marie

Download or read book Histoire Des Sciences Mathématiques Et Physiques: De thalès à Diophante written by Maximilien Marie and published by . This book was released on 1883 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Histoire des Sciences Mathématiques et Physiques

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Publisher : BoD – Books on Demand
ISBN 13 : 3385321387
Total Pages : 298 pages
Book Rating : 4.3/5 (853 download)

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Book Synopsis Histoire des Sciences Mathématiques et Physiques by : Maximilien Marie

Download or read book Histoire des Sciences Mathématiques et Physiques written by Maximilien Marie and published by BoD – Books on Demand. This book was released on 2024-01-23 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1883.

Histoire Des Sciences Mathématiques Et Physiques

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Publisher :
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Histoire Des Sciences Mathématiques Et Physiques by : Maximilien Marie

Download or read book Histoire Des Sciences Mathématiques Et Physiques written by Maximilien Marie and published by . This book was released on 1888 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Actes Du 7e Congrès International Sur L'enseignement Des Mathématiques

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Publisher : Presses Université Laval
ISBN 13 : 9782763773629
Total Pages : 540 pages
Book Rating : 4.7/5 (736 download)

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Book Synopsis Actes Du 7e Congrès International Sur L'enseignement Des Mathématiques by : Claude Gaulin

Download or read book Actes Du 7e Congrès International Sur L'enseignement Des Mathématiques written by Claude Gaulin and published by Presses Université Laval. This book was released on 1994 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Philosophers and Mathematics

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Publisher : Springer
ISBN 13 : 3319937332
Total Pages : 357 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis The Philosophers and Mathematics by : Hassan Tahiri

Download or read book The Philosophers and Mathematics written by Hassan Tahiri and published by Springer. This book was released on 2018-08-14 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the unique relationship between two different approaches to understand the nature of knowledge, reality, and existence. It collects essays that examine the distinctive historical relationship between mathematics and philosophy. Readers learn what key philosophers throughout the ages thought about mathematics. This includes both thinkers who recognized the relevance of mathematics to their own work as well as those who chose to completely ignore its many achievements. The essays offer insight into the role that mathematics played in the formation of each included philosopher’s doctrine as well as the impact its remarkable expansion had on the philosophical systems each erected. Conversely, the authors also highlight the ways that philosophy contributed to the growth and transformation of mathematics. Throughout, significant historical examples help to illustrate these points in a vivid way. Mathematics has often been a favored interlocutor of philosophers and a major source of inspiration. This book is the outcome of an international conference held in honor of Roshdi Rashed, a renowned historian of mathematics. It provides researchers, students, and interested readers with remarkable insights into the history of an important relationship throughout the ages.

Histoire Des Sciences Mathématiques Et Physiques: De Descartes à Huyghens. 1884

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Publisher :
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Histoire Des Sciences Mathématiques Et Physiques: De Descartes à Huyghens. 1884 by : Maximilien Marie

Download or read book Histoire Des Sciences Mathématiques Et Physiques: De Descartes à Huyghens. 1884 written by Maximilien Marie and published by . This book was released on 1884 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

G.W. Leibniz, Interrelations between Mathematics and Philosophy

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Publisher : Springer
ISBN 13 : 9401796645
Total Pages : 215 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis G.W. Leibniz, Interrelations between Mathematics and Philosophy by : Norma B. Goethe

Download or read book G.W. Leibniz, Interrelations between Mathematics and Philosophy written by Norma B. Goethe and published by Springer. This book was released on 2015-04-20 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Up to now there have been scarcely any publications on Leibniz dedicated to investigating the interrelations between philosophy and mathematics in his thought. In part this is due to the previously restricted textual basis of editions such as those produced by Gerhardt. Through recent volumes of the scientific letters and mathematical papers series of the Academy Edition scholars have obtained a much richer textual basis on which to conduct their studies - material which allows readers to see interconnections between his philosophical and mathematical ideas which have not previously been manifested. The present book draws extensively from this recently published material. The contributors are among the best in their fields. Their commissioned papers cover thematically salient aspects of the various ways in which philosophy and mathematics informed each other in Leibniz's thought.

La-préhension du réel

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Publisher : Routledge
ISBN 13 : 1134418620
Total Pages : 290 pages
Book Rating : 4.1/5 (344 download)

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Book Synopsis La-préhension du réel by : Andre Coret

Download or read book La-préhension du réel written by Andre Coret and published by Routledge. This book was released on 2021-09-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Le réel est (réellement) non représentable: telle est la découverte majeure que les scientifiques et les physiciens en particulier, ont faite pour leur compte au cours du XXe siècle. Mais, le savent-ils? The real is (really) unrepresentable: this is the major discovery that scientists and physicists in particular have made on their own during the twentieth century.

Progreso de la Instrucción Pública en Los Estados Unidos de América

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Publisher :
ISBN 13 :
Total Pages : 918 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Progreso de la Instrucción Pública en Los Estados Unidos de América by : United States. Office of Education

Download or read book Progreso de la Instrucción Pública en Los Estados Unidos de América written by United States. Office of Education and published by . This book was released on 1956 with total page 918 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Learning and Teaching Mathematics

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Publisher : Psychology Press
ISBN 13 : 1317715993
Total Pages : 462 pages
Book Rating : 4.3/5 (177 download)

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Book Synopsis Learning and Teaching Mathematics by : Peter Bryant

Download or read book Learning and Teaching Mathematics written by Peter Bryant and published by Psychology Press. This book was released on 2016-01-28 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors of this volume, which is newly available in paperback, all hold the view that mathematics is a form of intelligent problem solving which plays an important part in children's lives outside the classroom as well as in it. Learning and Teaching Mathematics provides an exciting account of recent and radically different research on teaching and learning mathematics which will have a far reaching effect on views about mathematical education.

Histoire Des Sciences Mathématiques Et Physiques: De Huyghens à Newton

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Publisher :
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Histoire Des Sciences Mathématiques Et Physiques: De Huyghens à Newton by : Maximilien Marie

Download or read book Histoire Des Sciences Mathématiques Et Physiques: De Huyghens à Newton written by Maximilien Marie and published by . This book was released on 1884 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The 'Resource' Approach to Mathematics Education

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Publisher : Springer Nature
ISBN 13 : 303020393X
Total Pages : 564 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis The 'Resource' Approach to Mathematics Education by : Luc Trouche

Download or read book The 'Resource' Approach to Mathematics Education written by Luc Trouche and published by Springer Nature. This book was released on 2019-11-29 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume will help educators better analyze methodological and practical tools designed to aid classroom instruction. It features papers that explore the need to create a system in order to fully meet the uncertainties and developments of modern educational phenomena. These have emerged due to the abundance of digital resources and new forms of collective work. The collected papers offer new perspectives to a rising field of research known as the Documentational Approach to Didactics. This framework was first created by the editors of this book. It seeks to develop a deeper understanding of mathematics teaching expertise. Readers will gain insight into how to meet the theoretical questions brought about by digitalization. These include: how to analyze teachers’ work when they prepare for their teaching, how to conceptualize the relationships between individual and collective work, and how to follow the related processes over the long term. The contributors also provide a comparative view in terms of contrasting selected phenomena across different educational cultures and education systems. For instance, they consider how differences in curriculum resources are available to teachers and how teachers make use of them to shape instruction. Coverage also considers the extent to which teachers make use of additional material, particularly those available through the global marketplace on the Internet. This book builds on works from the Re(s)sources 2018 Conference, Understanding teachers’ work through their interactions with resources for teaching, held in Lyon, France.