WorldCat Identities

Freudenthal, Hans 1905-1990

Works: 188 works in 870 publications in 9 languages and 10,714 library holdings
Genres: Popular works  Conference papers and proceedings  Biography  Abstracts  History 
Roles: Author, Editor, Recipient, Correspondent, Other, Contributor, Translator
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 1,293 WorldCat member libraries worldwide

Revisiting mathematics education : China lectures by Hans Freudenthal( )

34 editions published between 1991 and 2010 in 3 languages and held by 1,163 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( )

31 editions published between 1978 and 2004 in English and held by 993 WorldCat member libraries worldwide

The language of logic by Hans Freudenthal( Book )

66 editions published between 1961 and 1975 in 6 languages and held by 904 WorldCat member libraries worldwide

Probability and statistics by Hans Freudenthal( Book )

55 editions published between 1957 and 1981 in 6 languages and held by 740 WorldCat member libraries worldwide

Jimmy can't wait to show off the supersizing power of his latest invention. Everyone thinks the Supersizer 5000 is great ... until Jimmy supersizes his dinosaur eraser and accidentally brings it to life. Can the boy genius find his way out of this supersize mess?
Linear lie groups by Hans Freudenthal( Book )

24 editions published between 1969 and 1979 in 3 languages and held by 716 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 540 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 )

15 editions published between 1967 and 1970 in 3 languages and held by 530 WorldCat member libraries worldwide

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

23 editions published in 1960 in English and Dutch and held by 443 WorldCat member libraries worldwide

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

31 editions published between 1959 and 2015 in English and German and held by 440 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.<br><br>Comprised of 26 chapters, this book introduces the reader to the theory of parallels with applications
Logique mathematique appliquee by Hans Freudenthal( Book )

17 editions published in 1958 in French and Undetermined and held by 241 WorldCat member libraries worldwide

Mathematik als pädagogische Aufgabe by Hans Freudenthal( Book )

30 editions published between 1973 and 1979 in German and held by 202 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
Raumtheorie by Hans Freudenthal( Book )

10 editions published in 1978 in German and held by 121 WorldCat member libraries worldwide

Selecta by Hans Freudenthal( Book )

12 editions published in 2009 in English and German and held by 105 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
Collected works by L. E. J Brouwer( Book )

23 editions published between 1975 and 1976 in 4 languages and held by 100 WorldCat member libraries worldwide

Lie groups by Hans Freudenthal( Book )

13 editions published between 1960 and 1961 in English and Undetermined and held by 82 WorldCat member libraries worldwide

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

5 editions published in 1978 in German and held by 70 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 68 WorldCat member libraries worldwide

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Audience level: 0.49 (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 groupsThe Concept and the role of the model in mathematics and natural and social sciences proceedings of the colloquium sponsored by the Division of Philosophy of Sciences of the International Union of History and Philosophy of Sciences organized at Utrecht, January 1960Mathematics as an educational taskThe Legacy of Hans FreudenthalSelecta
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

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

프로이덴탈, 한스 1905-1990

한스 프로이덴탈


フロイデンタール, H