Didactics of Mathematics as a Scientific Discipline

Didactics of Mathematics as a Scientific Discipline

Author: Rolf Biehler

Publisher: Springer Science & Business Media

ISBN: 9780792326137

Category: Education

Page: 459

View: 778

Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines and suggest an overall structure or `topology' of the field. The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Education; (8) Cultural Framing of Teaching and Learning Mathematics. Didactics of Mathematics as a Scientific Discipline is required reading for all researchers into the didactics of mathematics, and contains surveys and a variety of stimulating reflections which make it extremely useful for mathematics educators and teacher trainers interested in the theory of their practice. Future and practising teachers of mathematics will find much to interest them in relation to their daily work, especially as it relates to the teaching of different age groups and ability ranges. The book is also recommended to researchers in neighbouring disciplines, such as mathematics itself, general education, educational psychology and cognitive science.

All Positive Action Starts with Criticism

All Positive Action Starts with Criticism

Author: Sacha la Bastide-van Gemert

Publisher: Springer

ISBN: 9789401793346

Category: Education

Page: 386

View: 337

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.

She is But a Woman

She is But a Woman

Author: Fiona Downie

Publisher: Birlinn Ltd

ISBN: 9781788853422

Category: History

Page: 290

View: 903

She is but a Woman, the first in-depth study of medieval Scottish queens, investigates the relationship between gender and power in the medieval Scottish court by exploring the art of queenship as practised by Joan Beaufort and Mary of Guelders, queens of James I and James II. These women were excluded from authority but clearly possessed power as wives and mothers of kings. They established and cultivated relationships with members of the court, learned about Scottish political life and supported their husbands in the business of government. The book examines for the first time the arrivals of Joan and Mary in Scotland, their social and political status, their relationships with their husbands and families, and their roles in international diplomacy. This modern re-evaluation of the role and power of the medieval queen is a thematic exploration rather than a biographical study. It situates the experiences of Joan and Mary within a broader European context and provides a new perspective on Scotland’s political, social and cultural links with Europe in the fifteenth century.

The Information Revolution: Impact on Science and Technology

The Information Revolution: Impact on Science and Technology

Author: Jacques-Emile Dubois

Publisher: Springer Science & Business Media

ISBN: 9783642852480

Category: Computers

Page: 273

View: 442

J.-E. Dubois and N. Gershon This book was inspired by the Symposium on "Communications and Computer Aided Systems" held at the 14th International CODATA Conference in September 1994 in Chambery, France. It was conceived and influenced by the discussions at the symposium and most of the contributions were written following the Conference. This is the first comprehensive book, published in one volume, of issues concerning the challenges and the vital impact of the information revolution (including the Internet and the World Wide Web) on science and technology. Topics concerning the impact of the information revolution on science and technology include: • Dramatic improvement in sharing of data and information among scientists and engineers around the world • Collaborations (on-line and off-line) of scientists and engineers separated by distance . • Availability of visual tools and methods to view, understand, search, and share information contained in data • Improvements in data and information browsing, search and access and • New ways of publishing scientific and technological data and information. These changes have dramatically modified the way research and development in science and technology are being carried out. However, to facilitate this information flow nationally and internationally, the science and technology communities need to develop and put in place new standards and policies and resolve some legal issues.

Islam and the Heroic Image

Islam and the Heroic Image

Author: John Renard

Publisher: Mercer University Press

ISBN: 0865546401

Category: Art, Islamic

Page: 374

View: 405

Throughout the world and over many centuries, the cultures in which Islam has been a major presence have created stories in word and picture to celebrate the men and women who best exemplify each culture's aspirations. This is the story of how those heroic figures have both shaped and been shaped by the religious tradition called Islam.

Assessment Methods and Success Factors for Digital Education and New Media

Assessment Methods and Success Factors for Digital Education and New Media

Author: Cipolla Ficarra, Francisco Vicente

Publisher: IGI Global

ISBN: 9781799887232

Category: Education

Page: 429

View: 376

In recent years, a diffuse way of promoting information and communication technologies is through the quantification of data, such as indices of references, access counters to webpages, total views of videos on YouTube, and others that are often superficial for didactics. Some data are presented as magnets to attract students to education courses—education as a commercial product and not as a public good freely accessible to all. This is an attractive format in offline and online communication channels, but it lacks metrics to build and evaluate knowledge and experiences with a critical perspective. Assessment Methods and Success Factors for Digital Education and New Media analyzes and evaluates the efficiency of the teaching-learning process and dissemination of knowledge to make the most of the potential of new information and communication technologies, examining the theories and practices of interactive content, under the formula of constructive criticism. Covering topics such as digital challenges, information architecture, and interactive design, this premier reference source is an excellent resource for educators and administrators of both K-12 and higher education, software developers, interactive designers, preservice teachers, teacher educators, evaluators of interactive systems, government officials, librarians, researchers, and academicians.

The Education of the Eye

The Education of the Eye

Author: Peter De Bolla

Publisher:

ISBN: UOM:39015052662049

Category: Art

Page: 304

View: 605

The Education of the Eye examines the origins of visual culture in eighteenth-century Britain, setting out to reclaim visual culture for the democracy of the eye and to explain how aesthetic contemplation may, once more, be open to all who have eyes to look.