WorldCat Identities

Freudenthal, Hans 1905-1990

Works: 243 works in 853 publications in 9 languages and 10,944 library holdings
Genres: Popular works  Conference papers and proceedings  Biography  Abstracts 
Roles: Author, Editor, Organizer of meeting, Recipient, Other, Correspondent, Honoree, Translator, Contributor
Classifications: QA11, 510.7
Publication Timeline
Most widely held works by Hans Freudenthal
Didactical phenomenology of mathematical structures by Hans Freudenthal( )

34 editions published between 1983 and 2005 in English and held by 1,320 WorldCat member libraries worldwide

The launch ofa new book series is always a challenging eventn ot only for the Editorial Board and the Publisher, but also, and more particularly, for the first author. Both the Editorial Board and the Publisher are delightedt hat the first author in this series isw ell able to meet the challenge. Professor Freudenthal needs no introduction toanyone in the Mathematics Education field and it is particularly fitting that his book should be the first in this new series because it was in 1968 that he, and Reidel, produced the first issue oft he journal Edu cational Studies in Mathematics. Breakingfresh ground is therefore nothing new to Professor Freudenthal and this book illustrates well his pleasure at such a task. To be strictly correct the ‘ground’ which he has broken here is not new, but aswith Mathematics as an Educational Task and Weeding and Sowing, it is rather the novelty oft he manner in which he has carried out his analysis which provides us with so many fresh perspectives. It is our intention that this new book series should provide those who work int he emerging discipline of mathematicseducation with an essential resource, and at a time of considerable concern about the whole mathematics cu rriculum this book represents just such resource. ALAN J. BISHOP Managing Editor vii A LOOK BACKWARD AND A LOOK FORWARD Men die, systems last
Revisiting mathematics education : China lectures by Hans Freudenthal( )

34 editions published between 1991 and 2010 in 3 languages and held by 1,200 WorldCat member libraries worldwide

This book represents a compilation of the views and ideas of the late Hans Freudenthal, representing his last major contribution to the field of mathematics education. Rather than a presentation of new views, Freudenthal selected and streamlined old ideas, many gathered from his lectures in China, and formed a review of questions and issues in mathematics education. The book is divided into three chapters. Chapter 1, "Mathematics Phenomenologically", explores different aspects of mathematics: What is Mathematics?; "Didactical Principles", discusses the organization of the teaching/learning processes relevant to mathematics, and is divided into four subsections: (1) Guided Reinvention; (2) Bonds with Reality; (3) Learning Processes; and (4) Long-term Learning Processes. Finally, chapter 3, "The Landscape of Mathematics Education", explores the theoretical foundations of mathematics education, and relates it to the current research and practice in the fields in three subsections: (1) Theory of Mathematics Education; (2) Research in Mathematics Education; and (3) Practice of Mathematics Education. Included is a list of the author's publications on mathematics education containing 201 entries. (Mdh)
Weeding and sowing : preface to a science of mathematical education by Hans Freudenthal( )

32 editions published between 1978 and 2004 in English and held by 996 WorldCat member libraries worldwide

A title that sounds like poetry, and a subtitle that seems to contradict the title! But the subtitle is right, and originally it was just the title. A strange subtitle, isn’t it? Preface to a Science of Mathematical Education. All sciences – in their prenatal stage – have known this kind of literature: only the term used was not ‘Preface’, but, for instance, ‘Prolegomena’, which * means the same though it sounds less provisional. In fact such works were thicker than the present one, by up to ten times. There is much more that can be said about a science before it comes into being than after; with the first results comes modesty. This is the preface to a book that will never be written: not by me, nor by anybody else. Once a science of mathematical education exists, it will get the preface it deserves. Nevertheless this preface – or what for honesty’s sake I have labelled so – must fulfil a function: the function of accelerating the birth of a science of mathematical education, which is seriously impeded by the unfounded view that such already exists. Against this view I have to argue: it rests on a wrong estimation – both over and under estimation at the same time – of what is to be considered as science
The language of logic by Hans Freudenthal( Book )

62 editions published between 1961 and 1975 in 6 languages and held by 924 WorldCat member libraries worldwide

Probability and statistics by Hans Freudenthal( Book )

52 editions published between 1957 and 1981 in 6 languages and held by 764 WorldCat member libraries worldwide

Linear lie groups by Hans Freudenthal( Book )

23 editions published between 1969 and 1979 in 3 languages and held by 726 WorldCat member libraries worldwide

Mathematics as an educational task by Hans Freudenthal( Book )

21 editions published between 1972 and 1973 in English and Undetermined and held by 546 WorldCat member libraries worldwide

Like preludes, prefaces are usually composed last. Putting them in the front of the book is a feeble reflection of what, in the style of mathe matics treatises and textbooks, I usually call thf didactical inversion: to be fit to print, the way to the result should be the inverse of the order in which it was found; in particular the key definitions, which were the finishing touch to the structure, are put at the front. For many years I have contrasted the didactical inversion with the thought-experiment. It is true that you should not communicate your mathematics to other people in the way it occurred to you, but rather as it could have occurred to you if you had known then what you know now, and as it would occur to the student if his learning process is being guided. This in fact is the gist of the lesson Socrates taught Meno's slave. The thought-experi ment tries to find out how a student could re-invent what he is expected to learn. I said about the preface that it is a feeble reflection of the didactical inversion. Indeed, it is not a constituent part of the book. It can even be torn out. Yet it is useful. Firstly, to the reviewer who then need not read the whole work, and secondly to the author himself, who like the composer gets an opportunity to review the Leitmotivs of the book
Mathematics observed by Hans Freudenthal( Book )

14 editions published between 1967 and 1970 in 3 languages and held by 523 WorldCat member libraries worldwide

Lincos; design of a language for cosmic intercourse by Hans Freudenthal( Book )

19 editions published in 1960 in English and Dutch and held by 439 WorldCat member libraries worldwide

Algebraical and topological foundations of geometry; proceedings by Hans Freudenthal( Book )

17 editions published between 1959 and 2015 in English and German and held by 427 WorldCat member libraries worldwide

Algebraical and Topological Foundations of Geometry contains the proceedings of the Colloquium on Algebraic and Topological Foundations of Geometry, held in Utrecht, the Netherlands in August 1959. The papers review the algebraical and topological foundations of geometry and cover topics ranging from the geometric algebra of the Möbius plane to the theory of parallels with applications to closed geodesies. Groups of homeomorphisms and topological descriptive planes are also discussed. Comprised of 26 chapters, this book introduces the reader to the theory of parallels with applications
Mathematik als pädagogische Aufgabe by Hans Freudenthal( Book )

30 editions published between 1973 and 1979 in German and held by 248 WorldCat member libraries worldwide

Logique mathematique appliquee by Hans Freudenthal( Book )

14 editions published in 1958 in French and English and held by 193 WorldCat member libraries worldwide

Raumtheorie by Hans Freudenthal( Book )

10 editions published in 1978 in German and held by 135 WorldCat member libraries worldwide

The Legacy of Hans Freudenthal by Leen Streefland( Book )

8 editions published in 1993 in English and held by 129 WorldCat member libraries worldwide

"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."--BOOK JACKET. "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."--BOOK JACKET. "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."--BOOK JACKET. "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 a 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, e.g. 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 is dealing with the question of design from a theoretical point of view, while applying Freudenthal's ideas on changing perspective and shifting."--BOOK JACKET. "This is a nutshell reflects the richness of the content of this volume that is of interest to teachers, researchers, mathematics educators, mathematicians, educationalists, psychologists and policy makers."--BOOK JACKET
Selecta by Hans Freudenthal( Book )

9 editions published in 2009 in German and English and held by 103 WorldCat member libraries worldwide

Hans Freudenthal (1905 - 1990) was a Dutch mathematician, born in Luckenwalde, Germany. His scientific activities were of a rich variety. Enrolling at the University of Berlin as a student in the 1920s, he followed in the footsteps of his teachers, and became a topologist, but with a lively interest in group theory. Later in life, after a long journey through the realm of mathematics, working on almost all subjects that drew his interest, he turned towards the practical and methodological issues of the didactics of mathematics
Lie groups by Hans Freudenthal( Book )

14 editions published between 1960 and 1961 in English and Undetermined and held by 85 WorldCat member libraries worldwide

Vorrede zu einer Wissenschaft vom Mathematikunterricht by Hans Freudenthal( Book )

5 editions published in 1978 in German and held by 83 WorldCat member libraries worldwide

Mathematik in Wissenschaft und Alltag by Hans Freudenthal( Book )

10 editions published between 1968 and 1977 in German and Russian and held by 76 WorldCat member libraries worldwide

Collected works by L. E. J Brouwer( Book )

11 editions published between 1975 and 1976 in English and Multiple languages and held by 61 WorldCat member libraries worldwide

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Audience level: 0.48 (from 0.23 for Revisiting ... to 0.92 for Mathematik ...)

Weeding and sowing : preface to a science of mathematical education
Revisiting mathematics education : China lecturesWeeding and sowing : preface to a science of mathematical educationLinear lie groupsMathematics as an educational taskThe Legacy of Hans FreudenthalSelectaLie groups
Alternative Names
Freidental, Kh.

Freĭdentalʹ, Kh 1905-1990

Freĭdentalʹ, Kh. (Khans), 1905-1990

Freidental, Khans.

Freĭdentalʹ, Khans 1905-1990

Frejdentalʹ, Ch

Frejdentalʹ, Ch 1905-1990

Frejdental', Gans.

Frejdental', Gans 1905-1990

Frejdental', H.

Freudenthal, H.

Freudenthal, H. 1905-1990

Freudenthal, Hans

Freudenthal, Hans, 1905-

Frojdental', G.

Frojdental', G. 1905-1990

Frojdental', Gans.

Frojdental', Gans 1905-1990

Hans Freudenthal deutscher Mathematiker

Hans Freudenthal Dutch mathematician

Hans Freudenthal matemàtic neerlandès

Hans Freudenthal matematician olandez

Hans Freudenthal matemático neerlandés

Hans Freudenthal matematico tedesco

Hans Freudenthal mathématicien allemand

Hans Freudenthal tysk professor

Sirlof, V. 1905-1990

Sirolf, V. 1905-1990

Фрейденталь, Ганс 1905-1990

Фрейденталь, Х.

Фрейденталь, Ханс

Фройденталь, Ханс

Ханс Фройдэнталь

הנס פרוידנטל

הנס פרוידנטל מתמטיקאי הולנדי

هانس فرودنثال رياضياتي ألماني

프로이덴탈, 한스 1905-1990

한스 프로이덴탈


フロイデンタール, H