All Positive Action Starts with Criticism

All Positive Action Starts with Criticism PDF Author: Sacha la Bastide-van Gemert
Publisher: Springer
ISBN: 9401793344
Category : Education
Languages : en
Pages : 393

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Book Description
This study provides a historical analysis of Freudenthal’s didactic ideas and his didactic career. It is partly biographical, but also contributes to the historiography of mathematics education and addresses closely related questions such as: what is mathematics and where does it start? Which role does mathematics play in society and what influence does it have on the prevailing views concerning its accompanying didactics?. Hans Freudenthal (1905–1990), professor in mathematics, scientist, literator, but above all mathematics-educator, was inextricably linked to the changes which took place in mathematics education and didactics during the second half of the last century. His diversity as a scientist and his inexhaustible efforts to establish the didactics of mathematics as a seriously pursued science, made Freudenthal's influence in this area considerable. He foresaw an essential, practical role for mathematics in everyone’s life, encouraging students to discover and create mathematics themselves, instead of imposing a ready-made mathematical system. The theory of mathematics education thus developed in the Netherlands would gain world fame in the following decades. Today, in the light of the discussions about mathematics education, in which the call for `genuine’ mathematics instead of the so-called 'kindergarten'-mathematics can be heard, Freudenthal's approach seems to be passé. However, the outcome of this study (which is mainly based on documents from Freudenthal’s vast personal archive) shows a more refined picture. The direct identification of 'kindergarten'-mathematics with Freudenthal’s view on mathematics education is not justified. 'Realistic mathematics' as advocated by Freudenthal includes more than just a practical introductory and should, among other things, always aim at teaching 'genuine' mathematics in the end.

All Positive Action Starts with Criticism

All Positive Action Starts with Criticism PDF Author: Sacha la Bastide-van Gemert
Publisher: Springer
ISBN: 9401793344
Category : Education
Languages : en
Pages : 393

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Book Description
This study provides a historical analysis of Freudenthal’s didactic ideas and his didactic career. It is partly biographical, but also contributes to the historiography of mathematics education and addresses closely related questions such as: what is mathematics and where does it start? Which role does mathematics play in society and what influence does it have on the prevailing views concerning its accompanying didactics?. Hans Freudenthal (1905–1990), professor in mathematics, scientist, literator, but above all mathematics-educator, was inextricably linked to the changes which took place in mathematics education and didactics during the second half of the last century. His diversity as a scientist and his inexhaustible efforts to establish the didactics of mathematics as a seriously pursued science, made Freudenthal's influence in this area considerable. He foresaw an essential, practical role for mathematics in everyone’s life, encouraging students to discover and create mathematics themselves, instead of imposing a ready-made mathematical system. The theory of mathematics education thus developed in the Netherlands would gain world fame in the following decades. Today, in the light of the discussions about mathematics education, in which the call for `genuine’ mathematics instead of the so-called 'kindergarten'-mathematics can be heard, Freudenthal's approach seems to be passé. However, the outcome of this study (which is mainly based on documents from Freudenthal’s vast personal archive) shows a more refined picture. The direct identification of 'kindergarten'-mathematics with Freudenthal’s view on mathematics education is not justified. 'Realistic mathematics' as advocated by Freudenthal includes more than just a practical introductory and should, among other things, always aim at teaching 'genuine' mathematics in the end.

National Reflections on the Netherlands Didactics of Mathematics

National Reflections on the Netherlands Didactics of Mathematics PDF Author: Marja Van den Heuvel-Panhuizen
Publisher: Springer Nature
ISBN: 303033824X
Category : Education
Languages : en
Pages : 348

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Book Description
This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, consists of 17 chapters, in which educators from the Netherlands reflect on the teaching and learning of mathematics in their country and the role of the Dutch domain-specific instruction theory of Realistic Mathematics Education. Written by mathematics teachers, mathematics teacher educators, school advisors, and developers and researchers in the field of instructional material, textbooks, and examinations, the book offers a multitude of perspectives on important issues in Dutch mathematics education, both at primary and secondary school levels. Topics addressed include the theoretical underpinnings of the Dutch approach, the subject of mathematics in the Dutch educational system, teacher education and testing, the history of mathematics education and the use of history in teaching of mathematics, changes over time in subject matter domains and in the use of technology, and the process of innovation and how the Dutch and in particular one Dutch institute have worked on the reform.

"Dig where you stand" 4

Author: Kristín Bjarnadóttir
Publisher: Edizioni Nuova Cultura
ISBN: 8868128632
Category : Science
Languages : en
Pages : 442

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Book Description
The Fourth International Conference on the History of Mathematics Education was hosted by Academy of Sciences and University of Turin (Italy). About 50 senior and junior researchers from 16 countries met for four days to talk about one topic: the history of mathematics education. In total 44 contributions were presented. The themes were Ideas, people and movements, Transmission of ideas, Teacher education, Geometry and textbooks, Textbooks – changes and origins, Curriculum and reform, Teaching in special institutions, and Teaching of geometry. In this volume you find 28 of the papers, all of them peer-reviewed. Since the first international conference on the history of mathematics education, the aim has been to develop this area of research, to attract more researchers and provide new insights that stimulate further “digging”. It is therefore very pleasing that so many new young researchers joined the conference, presenting results from ongoing or recently finished PhD projects. This makes us confident about a prosperous future of this research area as we look forward to the Fifth International Conference on the History of Mathematics Education, to be held in Utrecht, the Netherlands, in September 2017. Previous international conferences on the history of mathematics education: 2009 in Garðabær (Iceland) 2011 in Lisbon (Portugal) 2013 in Uppsala (Sweden)

“Dig Where You Stand” 7

“Dig Where You Stand” 7 PDF Author: Kristín Bjarnadóttir
Publisher: WTM-Verlag Münster
ISBN: 3959872569
Category : Mathematics
Languages : en
Pages : 386

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Book Description
The history of mathematics education is an interdisciplinary research area that is experiencing a significant development and this book presents recent work in this area. This book is the result of the seventh conference ICHME (International Conference on the History of Mathematics Education) that took place at Erbacher Hof, Mainz (Germany) from 19th to 23rd of September 2022. Nowadays, the history of education is of the utmost importance for assessing the general development of the educational system(s) in which mathematics education occurs. Usually, the history of education is confined to history within a given civilization, country or nation. However, the quality of the research for a given nation is enhanced when situated among various specific cases, and comparative studies provide essential tools to broaden the perspectives to an international level. Moreover, mathematics, as a school discipline, has always functioned at the crossroads between general education and professional training, thus relating its teaching history to professional working environments as well. The 24 chapters in this book reflect this wide area of research.

Descriptive Geometry, The Spread of a Polytechnic Art

Descriptive Geometry, The Spread of a Polytechnic Art PDF Author: Évelyne Barbin
Publisher: Springer
ISBN: 3030148084
Category : Mathematics
Languages : en
Pages : 446

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Book Description
This book seeks to explore the history of descriptive geometry in relation to its circulation in the 19th century, which had been favoured by the transfers of the model of the École Polytechnique to other countries. The book also covers the diffusion of its teaching from higher instruction to technical and secondary teaching. In relation to that, there is analysis of the role of the institution – similar but definitely not identical in the different countries – in the field under consideration. The book contains chapters focused on different countries, areas, and institutions, written by specialists of the history of the field. Insights on descriptive geometry are provided in the context of the mathematical aspect, the aspect of teaching in particular to non-mathematicians, and the institutions themselves.

European Traditions in Didactics of Mathematics

European Traditions in Didactics of Mathematics PDF Author: Werner Blum
Publisher: Springer
ISBN: 3030055140
Category : Education
Languages : en
Pages : 215

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Book Description
This open access book discusses several didactic traditions in mathematics education in countries across Europe, including France, the Netherlands, Italy, Germany, the Czech and Slovakian Republics, and the Scandinavian states. It shows that while they all share common features both in the practice of learning and teaching at school and in research and development, they each have special features due to specific historical and cultural developments. The book also presents interesting historical facts about these didactic traditions, the theories and examples developed in these countries.

Feminist Critique of Education

Feminist Critique of Education PDF Author: Christine Skelton
Publisher: Routledge
ISBN: 1134226284
Category : Education
Languages : en
Pages : 345

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Book Description
This book provides a valuable route map to the development of thinking in gender and education over the last fifteen years. It includes over thirty-five seminal articles from the journal Gender and Education, written by many of the leading authors in the field from the UK, the USA, Australia and Europe. Compiled by the current editors of the journal to show the development of the field, the book is divided into six sections: * Gender Identities * Theory and Method * Policy and Management * Sexuality * Ethnicity * Social Class. The specially written introduction by the editors contextualises the selection and introduces students to the main issues and current thinking in the field. Available in one easy-to-access place, this authoritative reference book provides a collection of articles that have lead the field. It should find a place in every library and on every departmental bookshelf.

The Critique of Bioethical Principlism in Contrast to an African Approach to Bioethics

The Critique of Bioethical Principlism in Contrast to an African Approach to Bioethics PDF Author: Jude Thaddaeus Buyondo
Publisher: Wipf and Stock Publishers
ISBN:
Category : Religion
Languages : en
Pages : 289

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Book Description
Though some argue that bioethics in the Black African world is simply a reflection of the Western approach to bioethics, this work suggests otherwise. While the Western approach (bioethical principlism) claims to offer an absolute approach to bioethics in a universalized common morality, this book argues that bioethical principlism can be complemented with African approaches to bioethics. Western principlism, as primarily presented by Thomas L. Beauchamp and James F. Childress, can hardly be incarnated in the African context of bioethical problems unless it is complemented by a contextual normative understanding of African social realities, realities that themselves must be enriched by bioethical principlism. Without claiming to offer the last word on intercultural bioethics or disputing which bioethical approaches deserve prioritization, the work interactively relies on ordinary moral experiences that are practically visible in lived social realities, as well as the community realities surrounding Africans south of the Sahara. Prescriptively, in order to not simply promote life but to do so fully, the African ethical system supports an integral community life by continuously promoting the norm of solidarity, continued vitality, and the hierarchization of life within the corporate community, which the individual must not blindly follow but responsibly interact with, without her identity, freedom, and conscience being crushed.

Rods, Sets and Arrows

Rods, Sets and Arrows PDF Author: Dirk De Bock
Publisher: Springer Nature
ISBN: 3030205991
Category : Education
Languages : en
Pages : 302

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Book Description
For anyone interested in the history and effects of the introduction of so-called “Modern Mathematics” (or “Mathématique Moderne,” or “New Mathematics,” etc.) this book, by Dirk De Bock and Geert Vanpaemel, is essential reading. The two authors are experienced and highly qualified Belgian scholars and the book looks carefully at events relating to school mathematics for the period from the end of World War II to 2010. Initially the book focuses on events which helped to define the modern mathematics revolution in Belgium before and during the 1960s. The book does much more than that, however, for it traces the influence of these events on national and international debates during the early phases of the reform. By providing readers with translations into English of relevant sections of key Continental documents outlining the major ideas of leading Continental scholars who contributed to the “Mathématique Moderne” movement, this book makes available to a wide readership, the theoretical, social, and political backdrops of Continental new mathematics reforms. In particular, the book focuses on the contributions made by Belgians such as Paul Libois, Willy Servais, Frédérique Lenger, and Georges Papy. The influence of modern mathematics fell away rapidly in the 1970s, however, and the authors trace the rise and fall, from that time into the 21st century, of a number of other approaches to school mathematics—in Belgium, in other Western European nations, and in North America. In summary, this is an outstanding, landmark publication displaying the fruits of deep scholarship and careful research based on extensive analyses of primary sources.

The Critics of Keynesian Economics

The Critics of Keynesian Economics PDF Author: Henry Hazlitt
Publisher: Ludwig von Mises Institute
ISBN: 1610165179
Category : Economics
Languages : en
Pages : 440

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Book Description