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Author: Suid-Afrikaanse Akademie vir Wetenskap en Kuns
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 168
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Book Description
Author: Suid-Afrikaanse Akademie vir Wetenskap en Kuns
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 168
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Book Description
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.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 84
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : nl
Pages : 698
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Book Description
Author: Harm Jan Smid
Publisher: Springer Nature
ISBN: 3031218736
Category : Education
Languages : en
Pages : 323
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Book Description
This book describes and analyses the history of Dutch mathematics education from the point of view of the changing motivations behind the teaching of mathematics over a 200 year period. During the course of the 19th century, mathematics in the Netherlands developed from a topic for practitioners into a school topic that was taught to almost all pupils of secondary education. As mathematics teaching gradually lost its practical orientation and became more and more motivated on the basis of its supposed formative value, the HBS (Hogere Burgerschool), the Dutch variant of the German Realschule, became the dominant school of thought for mathematics pedagogy. This book examines the gradual development of the field, culminating in the country-wide adoption of Realistic Mathematics Education as the new method of mathematics teaching. This book is important for anyone who is interested in the history of mathematics education. It provides an interesting perspective on the development of mathematics education in a country that, in many aspects, went its own way.
Author:
Publisher: Brill Archive
ISBN:
Category :
Languages : en
Pages : 36
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Book Description
Author: John Fauvel
Publisher: Springer Science & Business Media
ISBN: 0306472201
Category : Education
Languages : en
Pages : 456
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Book Description
This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.
Author: Brian Ridley
Publisher: Taylor & Francis
ISBN: 1134459807
Category : Philosophy
Languages : en
Pages : 262
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Book Description
Kan de wetenschap alles verklaren? Brian Ridley, zelf een natuurkundige, zoekt een antwoord op deze en andere vragen in deze boeiende studie naar zowel de reikwijdte als de grenzen van de wetenschap. Volgens Ridley ligt aan het wetenschappelijke denken een wereld van 'magische ideeën' ten grondslag, en hij betoogt dan ook dat wetenschap meer overeenkomst met magie heeft dan wij vaak aannemen. In het boek wordt ook ingegaan op de vaak veronachtzaamde relatie tussen natuurwetenschap en wiskunde. De auteur koppelt dit op elegante wijze aan een fascinerende bespreking van relativiteit en kwantumtheorie, aldus onderstrepend dat er binnen de wetenschap vele perspectieven mogelijk zijn. Wetenschap is boeiende lectuur voor iedereen die geïnteresseerd in de huidige stand van zaken in de wetenschap en de richting waarin zij zich ontwikkelt.
Author: Teun Koetsier
Publisher: Elsevier
ISBN: 0080457355
Category : Mathematics
Languages : en
Pages : 716
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Book Description
Mathematics and the Divine seem to correspond to diametrically opposed tendencies of the human mind. Does the mathematician not seek what is precisely defined, and do the objects intended by the mystic and the theologian not lie beyond definition? Is mathematics not Man's search for a measure, and isn't the Divine that which is immeasurable ?The present book shows that the domains of mathematics and the Divine, which may seem so radically separated, have throughout history and across cultures, proved to be intimately related. Religious activities such as the building of temples, the telling of ritual stories or the drawing of enigmatic figures all display distinct mathematical features. Major philosophical systems dealing with the Absolute and theological speculations focussing on our knowledge of the Ultimate have been based on or inspired by mathematics. A series of chapters by an international team of experts highlighting key figures, schools and trains of thought is presented here. Chinese number mysticism, the views of Pythagoras and Plato and their followers, Nicholas of Cusa's theological geometry, Spinozism and intuitionism as a philosophy of mathematics are treated side by side among many other themes in an attempt at creating a global view on the relation of mathematics and Man's quest for the Absolute in the course of history.·Mathematics and man's quest for the Absolute·A selective history highlighting key figures, schools and trains of thought ·An international team of historians presenting specific new findings as well as general overviews·Confronting and uniting otherwise compartmentalized information
Author: Gerard Alberts
Publisher: Springer Nature
ISBN: 3031130332
Category : Computers
Languages : en
Pages : 205
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Book Description
Manufacturing computers in series was quite a feat in the 1950s. As mathematical as it gets, the machines discussed here were called X1 and X8. The industrial achievement combined with the background in a mathematical research center made the company Electrologica a legend in Dutch computing. The tales in this book are told by those who have a right to tell. Highly engaged professionals take readers back to their pioneering work with the machines and in retrospect unveil some of the values, which went without saying in the 1960s. To disagree, Paul Klint relates the contrasting views on software in Dutch research traditions. ALGOL culture: Frans Kruseman Aretz takes the reader along to the detailed decisions on constructing compilers and shows the values of an ALGOL culture transpiring. Signposts: Dirk Dekker for the first time ‘owns’ his algorithm for mutual exclusion. In particle physics: René van Dantzig’s use case was an Electrologica X8 computer controlling two other computers in three-dimensional detection of colliding particles. Early steps in AI: Lambert Meertens’ tale of the X8 machine composing a violin quartet comes with his original presentation, as well as the code in ALGOL 60. The reflections of first hand experiences combine well with the second thoughts of historical research into archival sources. Historians Huub de Beer and Gerard Alberts offer a view into the boardrooms of the local enterprise Electrologica, and of the electronics multinational Philips. Where pioneers and historians meet in an inspiring dialogue, the reader gains a view on the often implicit decisions constituting the field. Fortuitously, a copy of the X8 was retrieved from Kiel, Germany, and put on display at Rijksmuseum Boerhaave, Leiden. Sparked by the very material presence of an X8, the present book takes stock of the state of historiography of Electrologica. Gerard Alberts is an associate professor in History of Digital Cultures, retired from the University of Amsterdam. Jan Friso Groote is a full professor of Formal Methods at the Eindhoven University of Technology.
