1. Freudenthal Hans Freudenthal. Hans Freudenthal was born into a Jewish family, a fact whichwould have unfortunate consequences for him during World War II. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Freudenthal.html

Hans Freudenthal Born: 17 Sept 1905 in Luckenwalde, Germany Died: 13 Oct 1990 in Utrecht, The Netherlands Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Hans Freudenthal was born into a Jewish family, a fact which would have unfortunate consequences for him during World War II. He was educated in Luckenwalde, the town of his birth, where he studied at the Gymnasium. Although he developed an interest in mathematics and science at this stage, he was also interested in literature and read widely from the classics of literature and poetry. In 1923 he entered the University of Berlin to study mathematics and physics. Two important events took place in 1927 which would influence the direction of his career. Brouwer lectured in Berlin in that year and the meeting between Freudenthal and Brouwer would lead to Freudenthal's career being entirely in The Netherlands. Also in 1927, Freudenthal spent the summer semester at the University of Paris broadening his already broad interests. At the University of Berlin his doctoral supervisor was Hopf and in 1931 Freudenthal was awarded his doctorate for a thesis on the theory of ends of groups By the time he was awarded his doctorate, Freudenthal was already in Amsterdam having been invited to go there in 1930 as

2. The Legacy Of Hans Freudenthal Hans Freudenthal (19051990) - a remarkable didactitian, educator, writer,mathematician. Here you can find a brief biography and his portrait. http://www.u.arizona.edu/~akasymov/freudenthal.html

Sine Language A great man and his legacy Hans Freudenthal (1905-1990) - a remarkable didactitian, educator, writer, mathematician. Here you can find a brief biography and his portrait . Among his books are: Revisiting Mathematics Education (China Lectures) I am thinking about a new book. I have got the sub-title (China Lectures) though I still lack a title H. Freudenthal From a letter to Alan J. Bishop, April 1988 ( you do the math Weeding and Sowing (Preface to a Science of Mathematical Education) Mathematics as an Educational Task - 1973 (680 pages). Buy books of H. Freudenthal online Freudenthal Institute , at the University of Utrecht, the Netherlands. Created by Alexei Kassymov Sine Language home page. s="na";c="na";j="na";f=""+escape(document.referrer)

3. Mathematiker Mit Ff Translate this page Fourier Jean Baptiste Joseph (1768 - 1830, Paris). freudenthal hans (1905 - 1990,Luckenwalde). Frobenius Ferdinand Georg (1849 - 1917, Berlin-Charlottenburg). http://homepages.compuserve.de/thweidenfeller/mathematiker/f.html

F Faille Jean Charles de La (1597 - 1652, Antwerpen) Feigl Georg (1890 - 1945, Hamburg) Fermat Pierre de (1601 - 1665, Toulouse) Fèvre Jean Le (1652 - 1706, Lisieux) ... zurück

4. Galleri Bergström - Tidigare Utställningar Johan Bolin Olle Bonniér Aschen Brenner Corneille Peter Dahl Erik Ditman Anna EhrnerKjell Engman Lars Erik Falk Peter freudenthal hans Frode Agneta Freccero http://www.galleribergstrom.com/tidigare.html

Henrik Allert Kjell Andersson Alain Berckvits Ernst Billgren Ann Blom Johan Bolin Olle Bonniér Aschen Brenner Corneille Peter Dahl Erik Ditman Anna Ehrner Kjell Engman Lars Erik Falk Peter Freudenthal Hans Frode Agneta Freccero Carl Magnus Bodil Hedlund Sam Francis ... HUNDRATALS BILDER

5. References For Freudenthal References for hans freudenthal. Books L Streefland (ed.), The legacyof hans freudenthal (Dordrecht, 1993). Articles J Adda, Une http://www-gap.dcs.st-and.ac.uk/~history/References/Freudenthal.html

References for Hans Freudenthal Books: L Streefland (ed.), The legacy of Hans Freudenthal (Dordrecht, 1993). Articles: The legacy of Hans Freudenthal (Dordrecht, 1993), 9-19. H J M Bos, In memoriam : Hans Freudenthal (1905-1990), Historia Math. H J M Bos, "The bond with reality is cut" - Freudenthal on the foundations of geometry around 1900, in The legacy of Hans Freudenthal (Dordrecht, 1993), 51-58. Hans Freudenthal, Papers dedicated to the memory of Hans Freudenthal (Dutch), Nieuw Arch. Wisk. (2) (1991), i-iv; 129-212. J P Hogendijk, In memoriam : Hans Freudenthal (1905-1990), Arch. Internat. Hist. Sci. A F Monna, Supplementary note: "Werner Fenchel and Hans Freudenthal", Nieuw Arch. Wisk. A F Monna, Werner Fenchel and Hans Freudenthal, Nieuw Arch. Wisk. K Strambach and F D Veldkamp, In memoriam Hans Freudenthal, Geom. Dedicata L Streefland, Editorial : the legacy of Freudenthal, in The legacy of Hans Freudenthal (Dordrecht, 1993) 1-7. D van Dalen, Freudenthal and the foundations of mathematics, Nieuw Arch. Wisk.

6. Portret Van Hans Freudenthal Prof. Dr. hans freudenthal (1905 1990) hans freudenthal was born in 1905 in the German town of Luckenwalde, the son of a Jewish teacher. http://www.fi.ruu.nl/en/freudenthal.html

Prof. Dr. Hans Freudenthal (1905 - 1990) Hans Freudenthal was born in 1905 in the German town of Luckenwalde, the son of a Jewish teacher. Even at a young age he was interested in differential equations and integration, but by the age of 13 he had also read all the works of Goethe and Schiller. In 1923 he went to Berlin and Paris to study mathematics. After gaining his doctorate he moved to Amsterdam, in the Netherlands, where he became assistant to L.E.J. Brouwer, the famous mathematician, in 1930. Shortly after, he married Suus Lutter, who was a pedagogue. Thanks to his marriage to an Arian Dutch woman and a certain amount of luck, Freudenthal was able to survive the Second World War. In 1946 Freudenthal became a professor in Utrecht, appointed to a chair in pure and applied mathematics and the principles of mathematics. In his time Freudenthal was an accomplished and well-known mathematician, and he made substantial contributions to topology, geometry and the theory of Lie groups. As a teacher he acquired international fame and significance as the founder of realistic mathematics education, which is based on problems taken from day-to-day experiences rather than on abstract math rules. Single-handedly Freudenthal saved Dutch education from the American teaching method of New Math, which was introduced in many countries from 1960 onwards. This formal, logic-based method turned out to be unsuitable for most students.

7. Portret Van Hans Freudenthal Prof. Dr. hans freudenthal (1905 1990). hans freudenthal werd in 1905geboren te Luckenwalde in Duitsland als zoon van een Joodse leraar. http://www.fi.ruu.nl/nl/freudenthal.html

Prof. Dr. Hans Freudenthal (1905 - 1990) Hans Freudenthal werd in 1905 geboren te Luckenwalde in Duitsland als zoon van een Joodse leraar. Van jongsaf aan werd hij gegrepen door wiskundige fenomenen als differentiaalvergelijkingen en integratie. Op dertienjarige leeftijd had hij alle werken van Goethe en Schiller gelezen. Vanaf 1923 studeerde hij wiskunde in Berlijn en Parijs. Na het behalen van zijn doctoraal examen verhuisde hij naar Amsterdam waar hij de beroemde wiskundige L.E.J. Brouwer in 1930 assisteerde. Kort daarna trouwde hij Suus Lutter, een pedagoge. Dankzij dit huwelijk (en een portie geluk), wist Freudenthal de Tweede Wereldoorlog te overleven. Vanaf 1946 bezette Freudenthal als professor de stoel 'theoretische en toegepaste wiskunde' in Utrecht. Hiermee vestigde hij zich definitief als bekend wiskundige, waarbij hij wezenlijke (wetenschappelijke) bijdragen leverde aan de topologie, geometrie en de 'theorie van Lie' groepen. Als onderwijzer verwierf hij internationale faam en erkenning als de oprichter van de toegepaste (realistische) wiskunde die gebaseerd is op alledaagse problemen in plaats van de (tot dan toe) gebruikelijke abstracte wiskunde. Door zijn invloed voorkwam Freudenthal dat het Nederlandse onderwijs de Amerikaanse 'New Math' methoden adopteerde - wat in veel andere landen wel gebeurde vanaf 1960. Deze formele methode, grotendeels gebaseerd op abstracte logica, bleek later ongeschikt voor de meerderheid van de studenten.

8. Hans Schroedel, Hannover 1971. freudenthal, hans Was beweist die Zeichnung? http://home.t-online.de/home/dgs-workshop/mat-elsch1.htm

Hans-Jürgen ELSCHENBROICH, Neuss Visuelles Beweisen Neue Möglichkeiten durch Dynamische GeometrieSoftware Beweise in der Mathematik und im Unterricht Ein Beweis hat in der Fachwissenschaft die Aufgabe, die Gültigkeit eines Satzes zu zeigen. Das ist der Erkenntnis -Aspekt und er ist eigentlich mit dem einmaligen Beweisen erledigt. Gegebenenfalls kommen noch elegan­tere oder kürzere oder einfachere Beweise oder solche mit anderen Methoden hinzu. Bei Beweisen im Unterricht steht dagegen ein ganz anderer Aspekt im Vordergrund, nämlich der Verständnis -Aspekt. Wittmann nimmt für den Unterricht von einem minimalen Axiomensystem bewusst Abstand und zieht die anschauliche Vorstellung mit ein. Das be­deutet aber nicht, dass logische Überlegungen ausgeschlossen werden. "Diese Beweise haben aber mehr den Zweck, klar zu machen, warum ein Sachverhalt besteht und wie er mit anderen zusammenhängt, als zu zeigen, daß er gilt. ... Wir nehmen gewisse geometrische Beziehungen innerhalb be­stimmter inhaltlicher Zusammenhänge (Kontexte) als anschaulich gegeben hin und leiten aus ihnen durch logische Schlüsse Sachverhalte ab, die uns als nicht evident erscheinen." Präformale Beweise In dem Bemühen, den Aspekt des Verstehens (der Schüler) stärker zu betonen, haben Wittmann und Müller das Konzept des inhaltlich-anschaulichen Beweises entwickelt. Sie unterscheiden folgende Stufen des Beweisens:

9. Freudenthal Biography of hans freudenthal (19051990) hans freudenthal was born into a Jewish family, a fact which would have unfortunate consequences for him during World http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Freudenthal.html

Hans Freudenthal Born: 17 Sept 1905 in Luckenwalde, Germany Died: 13 Oct 1990 in Utrecht, The Netherlands Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Hans Freudenthal was born into a Jewish family, a fact which would have unfortunate consequences for him during World War II. He was educated in Luckenwalde, the town of his birth, where he studied at the Gymnasium. Although he developed an interest in mathematics and science at this stage, he was also interested in literature and read widely from the classics of literature and poetry. In 1923 he entered the University of Berlin to study mathematics and physics. Two important events took place in 1927 which would influence the direction of his career. Brouwer lectured in Berlin in that year and the meeting between Freudenthal and Brouwer would lead to Freudenthal's career being entirely in The Netherlands. Also in 1927, Freudenthal spent the summer semester at the University of Paris broadening his already broad interests. At the University of Berlin his doctoral supervisor was Hopf and in 1931 Freudenthal was awarded his doctorate for a thesis on the theory of ends of groups By the time he was awarded his doctorate, Freudenthal was already in Amsterdam having been invited to go there in 1930 as

10. Name Index Translate this page Friede (Frida) freudenthal, Gian freudenthal, Gary freudenthal, Gustav, freudenthal,Hannchen, freudenthal, Hanne, freudenthal, hans freudenthal, hans Benjamin http://www.geocities.com/monicavdv/Index.htm

Name index a b c d ... w and z f Federlein, Herman, Fletner, Kurt, Fraifeld, Eduardo (Eddy) Mauricio, Fraifeld, Samuel Louis, Fraifeld, ... Freudenthal, Elsbeth, F reudenthal, Emma, Freudenthal, Ernst Freudenthal, Ernest G Freudenthal, Esther, ... Freudenthal, Hannchen, Freudenthal, Hanne, Freudenthal, Hans Freudenthal, Hans Benjamin, Freudenthal, Hedwig, and Freudenthal, Heinz Freudenthal, Hoely (Henry) Freudenthal, Herman Freudenthal, Hilde, Freudenthal, Hirsch, Freudenthal, Hulde Freudenthal, Ida Freudenthal, Ilse Freudenthal, Isak, Freudenthal, Isak Ludwig, Freudenthal, Jakob Freudenthal, Jedidja Freudenthal, Jettchen Freudenthal, Jiddel (Jette) , Freudenthal, Joan Conny Freudenthal, Johanna, Freudenthal, Jonathan, Freudenthal, Josef Freudenthal, Josef Isak (Jizchok), Freudenthal, Judith (Judy), Freudenthal, Judy Freudenthal, Julius Freudenthal, Justin Freudenthal, Kaete, Freudenthal, Karl, Freudenthal, Karl, Jekusel ben Jacob Gabriel Freudenthal, Karoline, Freudenthal, Fritz, Freudenthal, Kurt Freudenthal, Kurt Eugen Freudenthal, Kuro Ernesto Freudenthal, Kusel

11. Letter From Joshua Lederberg To Hans Freudenthal (March 4, 1970) Lederberg, Joshua Recipient freudenthal, hans Rights Reproduced with permission of Joshua Lederberg. http://www.profiles.nlm.nih.gov/BB/A/N/G/D

The Joshua Lederberg Papers Title: Letter from Joshua Lederberg to Hans Freudenthal Number of Image Pages: 1 (75,525 Bytes) Date: 1970-03-04 (March 4, 1970) Creator: Lederberg, Joshua Recipient: Freudenthal, Hans Rights: Reproduced with permission of Joshua Lederberg. Relation: Lederberg Grouping: Correspondence D Unique Identifier: BBANGD Accession Number: Document Type: Letters (correspondence) Language: English Format: application/pdf image/tif Physical Condition: Good Series: Correspondence SubSeries: Folder: Freudenthal, H. Metadata Last Modified Date: Search The Joshua Lederberg Papers Profiles in Science U.S. National Library of Medicine

12. Pictures hans freudenthal with his grandfather Ehmann hans freudenthal (age +/ 3) hans freudenthaland his sister Lotte freudenthal Familypicture at 50 year marriage http://www.geocities.com/monicavdv/Freudenthal-foto.html

Pictures Hans Freudenthal with his grandfather Ehmann Hans Freudenthal (age +/- 3) Hans Freudenthal and his sister Lotte Freudenthal Familypicture at 50 year marriage Hans Freudenthal and Suus Lutter ... Hans Freudenthal at the university of Berlin Mapha-Wanderung. Der zweite Kniende von rechts Hans Freudenthal, der dritte etwas tiefer Werner Fenchel; links neben dem Stehenden mit der Kartentasche Alfred Brauer. (from http://www.math.fu-berlin.de/~guckes/persons/begehr/) Genealogy of Hans Freudenthal Jozef Freudenthal Jozef Freudenthal (+/- 1962) Jozef and Elsbeth Freudenthal ... Rabbi Dr. Max Freudenthal, head of the liberal congregation 1907-1934. From The second generation group from Nuremberg genealogy of Max Freudenthal Otto Freudenthal Genealogy of Otto Freudenthal ... (today's) Cityplan of Tann Altenkunstadt has a war memorial for the victims of the two World Wars in form of a sculpture that is situated next to the church in Geistl. Rat-Quinger-Straße. The right side of the column lists, in chronological order, the victims of the two World Wars. The upper part lists the fallen soldiers of World War I. In the year 1917 the name of the Jewish-German soldier FREUDENTHAL KARL can be discovered.

13. Abstract Of "Hans Freudenthal En De Didactiek Van De Wiskunde" - Inst. For Hist. AUTHOR freudenthal, hans TITLE Lincos; design of a language for cosmic intercourse. LANGUAGE ENGLISH PUBLISHED Amsterdam, NorthHolland Pub. Co., 1960- PHYSICAL DESC v. 23 cm. http://www.fys.ruu.nl/~wwwgrnsl/abstracts/basti020322.html

Abstract of Hans Freudenthal en de didactiek van de wiskunde Speaker: Dr Sacha la Bastide-van Gemert Faculteit Letteren Rijksuniversiteit Groningen Date: This talk has been cancelled!! Last updated: Wednesday, 13-Mar-2002 14:20:37 CET

14. LINCOS - Freudenthal AUTHOR freudenthal, hans TITLE Lincos; design of a language for cosmic intercourse.LANGUAGE ENGLISH PUBLISHED Amsterdam, NorthHolland Pub. http://www.ai.mit.edu/people/paulfitz/cosmic.html

AUTHOR : Freudenthal, Hans TITLE : Lincos; design of a language for cosmic intercourse. LANGUAGE : ENGLISH PUBLISHED : Amsterdam, North-Holland Pub. Co., 1960- PHYSICAL DESC : v. 23 cm. SERIES : Studies in logic and the foundations of mathematics; SUBJECT : Lincos (Artificial language) It's a familiar problem. You've finally managed to contact that alien civilisation. Things are going great. You feel like your world will never be the same, that whole new realms of possibilities are opening up before your eyes. Then, inevitably, a hint of strain starts to creep into your relationship. You find that you don't really have all that much in common. Heck, sometimes it feels like you're not even in the same galaxy. It's as if there is this vast gulf between you, making communication almost impossible. You're not even sure you'd understand each other no matter how physically close you become. What do you do? You design a language for cosmic intercourse. Hans Freudenthal made a start at one in his book, Lincos, published in 1960. I think it's time for version II, the all-new action-packed sequel guaranteed to have you on the edge of your seat, which is a specific structure with a flat surface perpendicular to the pull of gravity, which is a thing that, oh never mind. Lincos, the operating system for cosmic intercourse. Anyone interested? To be honest, I have other purposes in mind for this that have nothing to do with communication. Cosmic intercourse just seemed a good way to get the attention of search engines.

15. KLUWER Academic Publishers | The Legacy Of Hans Freudenthal Books » The Legacy of hans freudenthal. The Legacy of hans freudenthal. Add tocart. edited by Leen Streefland freudenthal Institute, Utrecht, The Netherlands http://www.wkap.nl/prod/b/0-7923-2653-9

Title Authors Affiliation ISBN ISSN advanced search search tips Books The Legacy of Hans Freudenthal The Legacy of Hans Freudenthal Add to cart edited by Leen Streefland Freudenthal Institute, Utrecht, The Netherlands Reprinted from EDUCATIONAL STUDIES IN MATHEMATICS, 25:1-2 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. 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. 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. The main part of the book, however, concerns Freudenthal's work on mathematics education. Christine Keitel reviews his final book

16. KLUWER Academic Publishers | The Legacy Of Hans Freudenthal Books » The Legacy of hans freudenthal. The Legacy of hans freudenthal editedby Leen Streefland freudenthal Institute, Utrecht, The Netherlands http://www.wkap.nl/prod/b/0-7923-2653-9?a=1

17. KLI Theory Lab - Authors - Hans Freudenthal hans freudenthal (19051990) . Dutch mathematicianand educational reformer. freudenthal, H., ed. 1961. The http://www.kli.ac.at/theorylab/AuthPage/F/FreudenthalH.html

Hans Freudenthal Dutch mathematician and educational reformer. Freudenthal, H. , ed. 1961. The Concept and the Role of the Model in Mathematics and Natural and Social Sciences. Dordrecht: Reidel. Keyword: modelling Submit your own bibliography Submit corrections and additions Send us other comments Comments are welcome: theorylab@kli.ac.at

18. The KLI Theory Lab - Authors - F Translate this page Gottlob Fregenal-Martínez, MA Frehland, Eckart French, Peter A. French, Robert M.Frenken, Koen Frenz, Dorothy A. Freud, Sigmund freudenthal, hans Frey, Bruno http://www.kli.ac.at/theorylab/ALists/Authors_F.html

Faber, R. J. Fabian, A. C. Fairtlough, G. Faith, Joe ... Send us other comments Comments are welcome: theorylab@kli.ac.at

19. Freudent Biografie van freudenthal, hans. freudenthal, hans (19051990). freudenthal, hans, wiskundige (Luckenwalde (Duitsland) 17-9- 1905 - Utrecht 13-10- 1990) . http://www.inghist.nl/Onderzoek/Projecten/BWN/lemmata/bwn5/freudent

@import url(CSS/Form); /*IE and NN6x styles*/ @import url(http://www.inghist.nl/Onderzoek/Projecten/BWN/lemmata/bwnstylesheet); /*IE and NN6x styles*/ HOME REACTIE SITEMAP HULP ... VERWIJZINGEN PROJECTMENU Biografie van Freudenthal, Hans Onderzoek Projecten Biografisch Woordenboek van Nederland freudent Biografisch Woordenboek van Nederland 5 (Den Haag 2002). URL: http://www.inghist.nl/Onderzoek/Projecten/BWN/lemmata/bwn5/freudent FREUDENTHAL, Hans (1905-1990) Freudenthal, Hans , wiskundige (Luckenwalde (Duitsland) 17-9- 1905 - Utrecht 13-10- 1990) . Zoon van Joseph Freudenthal, godsdienstleraar, en Elsbeth Ehmann. Gehuwd op 20-7-1932 met Susanna Johanna Catharina Lutter (1908-1986). Uit dit huwelijk werden 3 zoons en 1 dochter geboren. Bij Wet Staatsblad nr. I-213) genaturaliseerd tot Nederlander. In 1929 schreef Freudenthal zijn wiskundig proefschrift (Gepubliceerd in: Mathematisches Zeitschrift (1931) 692-713), waarop hij op 20 februari 1930 promoveerde. Een half jaar later nodigde Brouwer Freudenthal in een brief uit om in Amsterdam zijn assistent te worden. Hij accepteerde het - ook financieel aantrekkelijke - aanbod en vertrok op 15 november naar Amsterdam. Ondanks het 'gemengde' huwelijk liet de bezetter het gezin niet ongemoeid. Freudenthal werd in mei 1944 bij een medische keuring ondanks zijn astma onverwacht goedgekeurd en tewerkgesteld op het in aanbouw zijnde vliegveld Havelte. Hij wist op 5 september te ontsnappen en naar Amsterdam terug te reizen, waar hij tot het einde van de bezetting thuis ondergedoken bleef.

20. Abstract Of "Hans Freudenthal En De Didactiek Van De Wiskunde" - Inst. For Hist. Abstract of hans freudenthal en de didactiek van de wiskunde by Sacha la BastidevanGemert. Abstract of. hans freudenthal en de didactiek van de wiskunde. http://www.phys.uu.nl/~wwwgrnsl/abstracts/basti020322.html

Abstract of Hans Freudenthal en de didactiek van de wiskunde Speaker: Dr Sacha la Bastide-van Gemert Faculteit Letteren Rijksuniversiteit Groningen Date: This talk has been cancelled!! Last updated: Wednesday, 13-Mar-2002 14:20:37 CET

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