ICMI Bulletin No. 54 June 2004 Table of Contents
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History and Epistemology in Mathematics Education – Fulvia Furinghetti
HISTORY OF MATHEMATICS – History and Epistemology in Mathematics Education – Fulvia Furinghetti HISTORY AND EPISTEMOLOGY IN MATHEMATICS EDUCATION Fulvia Furinghetti Università di Genova, Genoa, Italy Keywords: history of mathematics, original sources, epistemology, mathematics education, mathematics, teaching, learning, teachers, students, training Contents 1. Introduction 2. The pioneer period in the studies on the introduction of history in mathematics education 2.1. The Scenario 2.2. Pioneer Reflections on the Use of History in Mathematics Education 2.3. A Pioneer Experiment of Introducing History in the Mathematics Classroom 3. Convergences and Divergences between Historical Conceptual Developments and Classroom Learning in Mathematics. Epistemological Assumptions about the Relation between Students’ Understanding and History of Mathematics 4. International Cooperation in the Studies on the Use of History in Mathematics Education 5. History of Mathematics in Mathematics Education: Why, How, for Whom, When? 5.1. Stream A: History for promoting mathematics 5. 2. Stream B: History of Mathematics for Constructing Mathematical Knowledge 6. History of Mathematics and Teachers 6.1. The Role of History of Mathematics in Teacher Education 6.2. An Example of Realization 6.3. Resources, Prescriptions, Opportunities at Teachers’ Disposal for Introducing History of Mathematics in the Classroom 7. Conclusions and Perspectives Acknowledgements Glossary Bibliography Biographical Sketch UNESCO – EOLSS Summary Since longtime SAMPLEmathematics educators have CHAPTERSshown interest in the use of history of mathematics in mathematics teaching. In many countries curricula mention the need of introducing a historical dimension in mathematics teaching. This chapter discusses some interesting reasons put forwards by the supporters of this use and their epistemological assumptions. The initial part of the chapter provides a short account of the setting in which the first discussions and the first experiments concerning the use of history in mathematics teaching took place. -
The Project Gutenberg Ebook #31061: a History of Mathematics
The Project Gutenberg EBook of A History of Mathematics, by Florian Cajori This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at www.gutenberg.org Title: A History of Mathematics Author: Florian Cajori Release Date: January 24, 2010 [EBook #31061] Language: English Character set encoding: ISO-8859-1 *** START OF THIS PROJECT GUTENBERG EBOOK A HISTORY OF MATHEMATICS *** Produced by Andrew D. Hwang, Peter Vachuska, Carl Hudkins and the Online Distributed Proofreading Team at http://www.pgdp.net transcriber's note Figures may have been moved with respect to the surrounding text. Minor typographical corrections and presentational changes have been made without comment. This PDF file is formatted for screen viewing, but may be easily formatted for printing. Please consult the preamble of the LATEX source file for instructions. A HISTORY OF MATHEMATICS A HISTORY OF MATHEMATICS BY FLORIAN CAJORI, Ph.D. Formerly Professor of Applied Mathematics in the Tulane University of Louisiana; now Professor of Physics in Colorado College \I am sure that no subject loses more than mathematics by any attempt to dissociate it from its history."|J. W. L. Glaisher New York THE MACMILLAN COMPANY LONDON: MACMILLAN & CO., Ltd. 1909 All rights reserved Copyright, 1893, By MACMILLAN AND CO. Set up and electrotyped January, 1894. Reprinted March, 1895; October, 1897; November, 1901; January, 1906; July, 1909. Norwood Pre&: J. S. Cushing & Co.|Berwick & Smith. -
It Is with More Than Passing Pleasure That I Recall the Fine Courtesy, The
THE ROCKY MOUNTAIN SECTION OF THE ASSOCIATION. 281 It is with morethan passingpleasure that I recall the finecourtesy, the generosity,the extrememodesty and the enthusiasmexhibited by FrereGabriel Marie in occasionalcorrespondence during the past decade. R. C. ARCHIBALD. BROWN UNIVERSITY, March 23, 1917. FIRST REGULAR MEETING OF THE IOWA SECTION. The firstregular meeting of the Iowa Sectionof The MathematicalAssociation of Americawas held at GrinnellCollege, Grinnell, Iowa, on April28, 1917,and the followingprogram given: (1) "A unifiedcourse for Freshmanmathematics:" by ProfessorR. B. MCCLENON,Grinnell College. Leader of the discussion: ProfessorJULIA COLPITTS, Iowa State College. (2) "The foundationof Freshmanmathematics in technicalschools:" by Dean E. W. STANTON,Iowa StateCollege. In hisabsence, the paper was read by Professor.MARIA ROBERTS, Iowa State College. Leadersof the discussion: ProfessorsJ. F. REILLY, Iowa State University,and C. W. EMMONS,Simpson College. (3) "{Puttinglife into dry bones:" by ProfessorF. M. MCGAW,Cornell College. Leadersof the discussion: Professors W. J.RusE, GrinnellCollege, and W. E. BECK,Iowa State University. The followingalso took part in the discussions:Professors Weston, Trow- bridge,Stewart and Neff. All the paperswere good and the discussionswere to the pointshowing a keeninterest in the sortof a programoffered. The action at the businesssession in planningtwo meetingseach yearalso indicatessome- thingof the interesttaken in the Iowa Section. The attendanceincluded some twentymembers of the Associationand otherswho will become members in due course. The followingofficers were elected for the ensuingyear: I. F. NEFF, Drake University,Chairman; R. B. MCCLENON, GrinnellCollege, Vice-Chairman; W. E. BECK, Iowa State University,Secretary. G. A. CHANEY, I. F. NEFF, Chairman, Secretary-Treasurer. THE ROCKY MOUNTAIN SECTION OF THE ASSOCIATION. -
History of Mathematics Clio Mathematicæ the Muse of Mathematical Historiography Craig Smorynski´
History of Mathematics Clio Mathematicæ The Muse of Mathematical Historiography Craig Smorynski´ History of Mathematics A Supplement 123 Craig Smorynski´ 429 S. Warwick Westmont, IL 60559 USA [email protected] ISBN 978-0-387-75480-2 e-ISBN 978-0-387-75481-9 Library of Congress Control Number: 2007939561 Mathematics Subject Classification (2000): 01A05 51-Axx, 15-xx c 2008 Springer Science+Business Media, LLC All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper. 987654321 springer.com Contents 1 Introduction ............................................... 1 1 An Initial Assignment . 1 2 AboutThisBook........................................ 7 2 Annotated Bibliography ................................... 11 1 General Remarks . 11 2 General Reference Works . 18 3 General Biography . 19 4 General History of Mathematics . 21 5 History of Elementary Mathematics . 23 6 SourceBooks........................................... 25 7 Multiculturalism . 27 8 Arithmetic ............................................. 28 9 Geometry .............................................. 28 10 Calculus................................................ 29 11 Women in Science . 30 12 MiscellaneousTopics..................................... 35 13 Special Mention . 36 14 Philately . -
Florian Cajori Papers, 1842-1929 (Bulk 1905-1929)
http://oac.cdlib.org/findaid/ark:/13030/k67h1gg6 No online items Finding Aid to the Florian Cajori Papers, 1842-1929 (bulk 1905-1929) Bancroft Library Staff The Bancroft Library University of California, Berkeley Berkeley, CA 94720-6000 Phone: (510) 642-6481 Fax: (510) 642-7589 Email: [email protected] URL: http://bancroft.berkeley.edu/ © 2012 The Regents of the University of California. All rights reserved. Finding Aid to the Florian Cajori BANC MSS C-B 1006 1 Papers, 1842-1929 (bulk 1905-1929) Finding Aid to the Florian Cajori Papers, 1842-1929 (bulk 1905-1929) Collection number: BANC MSS C-B 1006 The Bancroft Library University of California, Berkeley Berkeley, CA 94720-6000 Phone: (510) 642-6481 Fax: (510) 642-7589 Email: [email protected] URL: http://bancroft.berkeley.edu/ Finding Aid Author(s): Bancroft Library Staff Date Completed: 2012 Finding Aid Encoded By: GenX © 2012 The Regents of the University of California. All rights reserved. Collection Summary Collection Title: Florian Cajori papers Date (inclusive): 1842-1929 Date (bulk): 1905-1929 Collection Number: BANC MSS C-B 1006 Creator: Cajori, Florian Extent: 3 cartons, 2 boxes4.55 linear feet Repository: The Bancroft Library. University of California, Berkeley Berkeley, CA 94720-6000 Phone: (510) 642-6481 Fax: (510) 642-7589 Email: [email protected] URL: http://bancroft.berkeley.edu/ Abstract: Included in the collection is correspondence; material related to his History of Mathematical Notations (1928); writings; and notes. Languages Represented: Collection materials are in English Physical Location: Many of the Bancroft Library collections are stored offsite and advance notice may be required for use. -
Bibliographie Der Schweizergeschichte. 2007
Bibliographie der Schweizergeschichte Bibliographie de l’histoire suisse Bibliografìa della storia svizzera 2007 Herausgegeben von der Schweizerischen Nationalbibliothek, Bern Publiée par la Bibliothèque nationale suisse, Berne Pubblicata dalla Biblioteca nazionale svizzera, Berna 2010 ISSN 0378-4584 II Redaktion Karin von Wartburg, Nathalie Vuilleumier Rédaction Schweizerische Nationalbibliothek / Bibliothèque nationale Redazione suisse / Biblioteca nazionale svizzera Hallwylstrasse 15 CH-3003 Bern [email protected] Mitarbeit Gabriella Giovannini, Ursula Reis, Christine Schilt, Christiane Schmidt, Collaboration Peter Schwery, Pierre Louis Surchat Collaborazione Online www.nb.admin.ch/biblio Vertrieb BBL, Verkauf Bundespublikationen, CH-3003 Bern Fax 031 325 50 58 Internet: www.bundespublikationen.admin.ch Art.-Nr.: 304.549 Diffusion OFCL, Vente des publications fédérales, CH-3003 Berne Fax 031 325 50 58 Internet: www.publicationsfederales.admin.ch No d’article: 304.549 Diffusione UFCL, Vendita pubblicazioni federali, CH-3003 Berna Fax 031 325 50 58 Internet: www.pubblicazionifederali.admin.ch No dell’articolo: 304.549 Art. Nr. 304.549.d.f.i 12.10 400 860254767 III Bemerkungen des Herausgebers Die Bibliographie der Schweizergeschichte erscheint seit 1913 regelmässig in gedruckter Form. Ab Berichtsjahr 1999 werden die Hefte der Bibliographie der Schweizergeschichte zusätzlich als PDF-Version publiziert und die Bibliographie kann online unter folgendem Link konsultiert werden: www.nb.admin.ch/biblio. Die Datenbank Biblio wird laufend aktualisiert. -
DE MOTU and the ANALYST the New Synthese Historical Library Texts and Studies in the History of Philosophy
DE MOTU AND THE ANALYST The New Synthese Historical Library Texts and Studies in the History of Philosophy VOLUME 41 Series Editor: NORMAN KRETZMANN, Cornell University Associate Editors: DANIEL ELLIOT GARBER, University of Chicago SIMO KNUUTTILA, University of Helsinki RICHARD SORABJI, University of London Editorial Consultants: JAN A. AERTSEN, Free University, Amsterdam ROGER ARIEW, Virginia Polytechnic Institute E. JENNIFER ASHWORTH, University of Waterloo MICHAEL AYERS, Wadham College, Oxford GAiL FINE, Cornell University R. J. HANKINSON, University of Texas JAAKKO HINTIKKA, Boston University, Finnish Academy PAUL HOFFMAN, Massachusetts Institute of Technology DAVID KONSTAN, Brown University RICHARD H. KRAUT, University of Illinois, Chicago ALAIN DE LmERA, Ecole Pratique des Hautes Etudes, Sorbonne DAVID FATE NORTON, McGill University LUCA OBERTELLO, Universita degli Studi di Genova ELEONORE STUMP, Virginia Polytechnic Institute ALLEN WOOD, Cornell University The titles published in this series are listed at the end of this volume. GEORGE BERKELEY DE MOTU AND THEANALYST A Modem Edition, with Introductions and Commentary Edited and translated by DOUGLAS M. JESSEPH North Carolina State University, Raleigh, U.S.A. SPRINGER-SCIENCE+BUSINESS MEDIA, B.V. Library of Congress Cataloging-in-Publication Data Berkeley, George, 1685-1753. [De motul De motu, and, the analyst I by George Berkeley; a modern edition with introductions and commentary by Douglas M. Josseph. p. cm. -- (The New synthese historical library ; v. 41) Inc 1udes index. ISBN 978-94-010-5144-6 ISBN 978-94-011-2592-5 (eBook) DOI 10.1007/978-94-011-2592-5 1. Science--Philosophy. 2. Mathematics--Philosophy. 1. Jesseph, Douglas M. II. Berkeley, George, 1685-1753. -
Catalogue 178
JEFF WEBER RARE BOOKBOOKSSSS ··· 178178178 Los Angeles / Encinitas, California Wings of Imagination Catalogue 178 Muhammad Ali said, “The man who has no imagination has no wings.” The noted writer Zora Neale Hurston is described as one who rode on the “wings of imagination.” This is everything in both science and life. Here is a selection of books that celebrates man’s thought relating to the sciences. One of the most inspired was Newton. My copy of Newton’s Opticks, 1704, is traced to its original owner Dr. Charles Bernard, himself a member of the Royal Society, the book was sold at auction in 1711, reappeared in Edinburgh and bound for the university. The book was given as a student prize by Dr. Philip Kelland, also a Fellow of the Royal Society. Eventually the copy found its way to Washington [D.C.?] by 1915. Again it disappears until 1966 when it was owned by the bookseller Jake Zeitlin. There is nothing so inspiring to a collector than an important book, especially one with a history. Books bring one closer to inspiration, and that allows the mind to soar. 2014 [www.WEBERRAREBOOKS.COM] With more than 10,000 antiquarian books in the fields of science, medicine, Americana, classics, books on books, world travel and fore-edge paintings. Photos by e-mail on request. Our inventory is available for viewing by appointment. Terms are as usual. Shipping extra. RECENT CATALOGUES: 174: Visions of Scientific Imagination (303 items) 175: Medical Cabinet (152 items) 176: Revolutions in Science (469 items) 177: Sword & Pen (202 items) COVER: 830 Isaac Newton Jeff Weber J E F F W E B E R R A R E B O O K S PO Box 3368, Glendale, California 91221-0368 TELEPHONES: office: 323 – 344 – 9332; cell: 323 333-4140 FAX: 323-344-9267 e-mail: [email protected] 773. -
70-13,977 University Microfilms, Inc., Ann Arbor, Michigan © Copyright By
70-13,977 BAUM, Robert James, 1941- | GEORGE BERKELEY'S PHILOSOPHY OF MATHEMATICS. | ■'3 The Ohio State University, Ph.D., 1969 J Philosophy University Microfilms, Inc., Ann Arbor, Michigan © Copyright by Robert James Baum f 197o| THIS DISSERTATION HAS BEEN MICROFILMED EXACTLY AS RECEIVED GEORGE BERKELEY'S PHILOSOPHY OF MATHEMATICS DISSERTATION Presented in Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy in the Graduate School of The Ohio State University By - Robert James Baum, B-»A< * w &w &w- m, & The Ohio State University 1969 .) Approved by PLEASE NOTE: Not original copy. Blurred and faint type on several pages. Filmed as received. UNIVERSITY MICROFILMS. ACKNOWLEDGMENTS I wish to thank the members of the Department of Philosophy, particularly Professors Turnbull, Hinshaw, Nelson, Rosen, and Kielkopf, for providing me with a solid foundation for doing technical philosophy v/hile at the same time communicating their intense enthusiasm for the subject. In particular, I would like to thank Professor Paul Clscamp for the innumerable ways in which he has contributed both to my general education and to the formulation and development of this dissertation. Without his continual encouragement, as well as his numerous constructive criticisms and suggestions, this dissertation would never have been completed in its present form. VITA October 19, 19^1 • • • Born - Chicago, Illinois 1963 ......... B.A., Northwestern University, Evanston, Illinois 1963-196^ ...... Teaching Assistant, Department of Philosophy, Northwestern University, Evanston, Illinois 196^-1965 ...... Teaching Assistant, Department of Philosophy, The Ohio State University, Columbus, Ohio 1965-1967 ...... Visiting Lecturer in Logic and Philosophy, Kiddle East Technical University, Ankara, Turkey I967-I969 Teaching Associate, Department of Fhilosophy, The Ohio State University, Columbus, Ohio 1969- ..... -
Revue D'histoire Des Mathématiques
Revue d’Histoire des Mathématiques Sanskrit versus Greek `Proofs': History of Mathematics at the Crossroads of Philology and Mathematics in Nineteenth-Century Germany Ivahn Smadja Tome 21 Fascicule 1 2 0 1 5 SOCIÉTÉ MATHÉMATIQUE DE FRANCE Publiée avec le concours du Centre national de la recherche scientifique REVUE D’HISTOIRE DES MATHÉMATIQUES COMITÉ DE LECTURE RÉDACTION Philippe Abgrall Rédacteur en chef : June Barrow-Green Norbert Schappacher Umberto Bottazzini Jean Pierre Bourguignon Rédacteur en chef adjoint : Aldo Brigaglia Philippe Nabonnand Bernard Bru Membres du Comité de rédaction : Jean-Luc Chabert Alain Bernard François Charette Frédéric Brechenmacher Karine Chemla Maarten Bullynck Pierre Crépel Sébastien Gandon François De Gandt Hélène Gispert Moritz Epple Catherine Goldstein Natalia Ermolaëva Jens Høyrup Christian Gilain Agathe Keller Jeremy Gray Marc Moyon Tinne Hoff Kjeldsen Karen Parshall Jesper Lützen Tatiana Roque Antoni Malet Dominique Tournès Irène Passeron Christine Proust David Rowe Ken Saito S. R. Sarma Erhard Scholz Directeur de la publication : Reinhard Siegmund-Schultze Marc Peigné Stephen Stigler Bernard Vitrac Secrétariat : Nathalie Christiaën Société Mathématique de France Institut Henri Poincaré 11, rue Pierre et Marie Curie, 75231 Paris Cedex 05 Tél. : (33) 01 44 27 67 99 / Fax : (33) 01 40 46 90 96 Mél : [email protected] / URL : http//smf.emath.fr/ Périodicité : La Revue publie deux fascicules par an, de 150 pages chacun environ. Tarifs : Prix public Europe : 87 e; prix public hors Europe : 96 e; prix au numéro : 43 e. Des conditions spéciales sont accordées aux membres de la SMF. Diffusion : SMF, Maison de la SMF, Case 916 - Luminy, 13288 Marseille Cedex 9 Hindustan Book Agency, O-131, The Shopping Mall, Arjun Marg, DLF Phase 1, Gurgaon 122002, Haryana, Inde AMS, P.O.