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OneHundredYears

ofL'EnseignementMathÂematique

MomentsofMathematicsEducation

intheTwentiethCentury

ProceedingsoftheEM±ICMISymposium

Geneva,20±22October2000

editedby

DanielCORAY,FulviaFURINGHETTI,

H

L'ENSEIGNEMENTMATHÂEMATIQUE

GenÁeveÐ2003

c

ISSN:0425-0818ÐISBN:2-940264-06-6

TABLEOFCONTENTS

FULVIAFURINGHETTI

GERTSCHUBRING

GILAHANNA

GEOMETRY

RUDOLPHBKOUCHE

Math

GEOFFREYHOWSON

COLETTELABORDE

G

4EM±ICMISYMPOSIUM

ANALYSIS

JEAN-PIERREKAHANE

vingti

MAN-KEUNGSIU

LYNNSTEEN

APPLICATIONSOFMATHEMATICS:

MATHEMATICSASASERVICESUBJECT

PHILIPPENABONNAND

r H

ÂELÁENEGISPERT

MOGENSNISS

PERSPECTIVESFORMATHEMATICSEDUCATION

UBIRATAND'AMBROSIO

JEREMYKILPATRICK

LISTOFPARTICIPANTS

NÂestorAGUILERA(Argentina)

Mich

ÁeleARTIGUE(France)

NataliyaBANTSUR(Ukraine)

HymanBASS(USA)

RudolphBKOUCHE(France)

Jean-PierreBOURGUIGNON(France)

AldoBRIGAGLIA(Italy)

DanielCORAY(Switzerland)

UbiratanD'AMBROSIO(Brazil)

VivianeDURAND-GUERRIER(France)

TrevorFLETCHER(UK)

RuhalFLORIS(Switzerland)

FulviaFURINGHETTI(Italy)

ClaudeGAULIN(Canada)

LiviaGIACARDI(Italy)

H

ÂelÁeneGISPERT(France)

AlexandraGOMES(Portugal)

FrancineGRANDSARD(Belgium)

Pierre-PaulGRIVEL(Switzerland)

Andr

ÂeHAEFLIGER(Switzerland)

ErnstHAIRER(Switzerland)

GilaHANNA(Canada)

Jean-ClaudeHAUSMANN(Switzerland)

BernardR.HODGSON(Canada)

GeoffreyHOWSON(UK)

Jean-PierreKAHANE(France)

JeremyKILPATRICK(USA)

ColetteLABORDE(France)

ThomasLINGEFJÈARD(Sweden)

MartaMENGHINI(Italy)

AlainMERCIER(France)

PhilippeNABONNAND(France)

MogensNISS(Denmark)

Jo

ÄaoPITOMBEIRADECARVALHO(Brazil)

Lu

ÂõsREIS(Portugal)

Andr

ÂeREVUZ(France)

NicolasROUCHE(Belgium)

LeeRUDOLPH(USA)

JeanRUFFET(Switzerland)

GertSCHUBRING(Germany)

MansaC.SINGH(Canada)

Man-KeungSIU(China)

PerSIVERTSEN(Norway)

LynnSTEEN(USA)

JohnSTEINIG(Switzerland)

AlainVALETTE(Switzerland)

GerhardWANNER(Switzerland)

ClaudeWEBER(Switzerland)

ChrisWEEKS(UK)

JochenZIEGENBALG(Germany)

THEAUTHORS

MichÁeleARTIGUE:

HymanBASS:

MI48109-1259,U.S.A.[hybass@umich.edu]

RudolfBKOUCHE:

Jean-PierreBOURGUIGNON:

Yvette,France[jpb@ihes.fr]

DanielCORAY:

UbiratanD'AMBROSIO:

[ubi@usp.br]

FulviaFURINGHETTI:

Genova,Italy[furinghe@dima.unige.it]

H

ÂelÁeneGISPERT:

[Helene.Gispert@ghdso.u-psud.fr]

GilaHANNA:

BernardR.HODGSON:

D

G1K7P4,Canada[bhodgson@mat.ulaval.ca]

AlbertGeoffreyHOWSON:

[geoffreyhowson@aol.com]

Jean-PierreKAHANE:

[Jean-Pierre.Kahane@math.u-psud.fr]

EM±ICMISymposium7

JeremyKILPATRICK:

[jkilpat@coe.uga.edu]

ColetteLABORDE:

MartaMENGHINI:

PhilippeNABONNAND:

MogensNISS:

[mn@mmf.ruc.dk]

NicolasROUCHE:

[rouche@math.ucl.ac.be]

GertSCHUBRING:

Man-KeungSIU:

[mathsiu@hkucc.hku.hk]

LynnArthurSTEEN:

[steen@stolaf.edu]

GerhardWANNER:

ChrisWEEKS:

[chrisweeks@eurobell.co.uk]

Charles-AngeLAISANT(1841±1920)

INTRODUCTION

vocation. alsodeclaredfreeforthepoor: apprendre.

2)[EncyclopÂediedeGenÁeve1986,127]

10INTRODUCTION

CalandriniandGabrielCramerasprofessors.

orthecreationoftechnicalschools. strip.

Genevainthatsameyear!

Gen

Áeve1988,13±14].

INTRODUCTION11

Theteachersummons

Josephandaskshim:

ªWhereisBesancËon?º

Josephinstantlyrepliesthat

BesancËonisinthesetofall

things,whichincludesthe

Universe,whichincludesthe

World,whichincludesall

fourpartsoftheWorld, whichincludeEurope, whereBesancËonlies.

HavingcalledLeopold,

Mr.CrÂepinhimselfaskshow

muchwilleightpoundsof lardcost,at®ve¯orinsa pound.Leopoldinstantly repliesthatlardisintheset ofallthings,whichincludes theUniverse,whichincludes allthreereigns,which includetheanimalreign, whichincludesthepig,

Leopoldislittleadvancedin

Arithmetic.Theteacher

explainsthat,inhissystem,

Arithmeticistheverylast

thingthatLeopoldwill know.Indeed,hemust®rst knowAlgebra,whichhe willbegintolearnonlyafter anin-depthstudyofquantity ingeneral. independencefromtheclergy,etc.

12INTRODUCTION

theWorldFairofBrusselsin1905. commissiontostudythesituation: cr mathematicsinhigherinstitutions.

INTRODUCTION13

SecondWorldWar.

utilit andalsoincludedtheeducationofteachers. periodleadingtothe`newmaths'),and2000. andGertSchubring(Germany).

14INTRODUCTION

andasseenfromtoday'sperspective. intheotherlanguage. demonstrated society.[¼] Gen (Geneva).Weareverygratefultoallofthem. discussions.

DanielCorayBernardR.Hodgson

ªL'EnseignementMathÂematiqueº

INTRODUCTION15

REFERENCES

Math.10(1908),333.

Gen

Áeve,GenÁeve,1986.

1988.
1907.
T Cr

Paris,1996.

HenriFEHR(1870±1954)

L'ENSEIGNEMENTMATHÂEMATIQUE:

BIRTHANDSTAKES

MATHEMATICALINSTRUCTIONINANINTERNATIONAL

PERSPECTIVE:THECONTRIBUTIONOFTHEJOURNAL

L'ENSEIGNEMENTMATHÂEMATIQUE

parFulviaFURINGHETTI s' tr publi vue.

20F.FURINGHETTI

math probl

·desarticlesgÂenÂeraux,

·desnouvellesdumondeacadÂemique,

conf

Âerences,

·descorrespondancesdiverses,

commentaires. journal. enqu enmathÂematiques. lanc g

MATHEMATICALINSTRUCTIONINANINTERNATIONAL

PERSPECTIVE:THECONTRIBUTIONOFTHEJOURNAL

L'ENSEIGNEMENTMATHÂEMATIQUE

byFulviaFURINGHETTI

INTRODUCTION

thebirthofICMI. Math journals.

22F.FURINGHETTI

theaimsofthejournalinthefollowingterms: delaprÂeparationducorpsenseignant. fr inaugur d

Âesirable.[¼]

vie p [LesDirecteurs1899,1±2] thatoftheeducationofteachers. youngpeople. international[myitalics]character. past. itself. theirconsequencesforthelifeofthejournal: cellequenoustraversons.5)[Fehr1914,477] goes onewithouttheother. wearelivingnow.

24F.FURINGHETTI

THEFOUNDERS

presentjournalsofmathematicalreviews). development.AsOrtizputit,Laisantshowed preocupaci

Rham1955;Ruffet1955].

8)withR.FueterandM.Grossmann

26F.FURINGHETTI

suchas: onthemathematicsteaching;

·theeducationofmathematicsteachers;

·newtrendsinmathematicsteaching.

L'EnseignementMathÂematique.

THEFORMATOFTHEJOURNAL

onebyM.Frechet[1913].

PaulAppell,Paris

NicolasBougaiev(Bougajeff),Moscow

(until1903)

MoritzBenediktCantor,Heidelberg

LuigiCremona,Rome(until1903)

EmanuelCzuber,Vienna

ZoelGarcÂõadeGaldeanoyYanguas,

Zaragoza

AlfredGeorgeGreenhill,Woolwich,

England

FelixKlein,GÈottingen

ValerianNikolajwitschLiguine(Ligin),

Warsaw(until1900)

PaulMansion,GentG

ÈostaMagnusMittag-Lef¯er,Stockholm

GabrielOltramare,Geneva(until1906)

JuliusPeterChristianPetersen,Copen-

hagen(until1910)

ÂEmileCharlesPicard,Paris

HenriJulesPoincarÂe,Paris(until1912)

PieterHendrikSchoute,Groningen(until

1913)

KyparissosStephanos,Athens

FranciscoGomesTeixeira,Porto

AlexandrWassiljewitschVassilief(Was-

silief),Kazan

AlexanderZiwet,AnnArbor,Michigan

educationandmathematicsinstruction.

28F.FURINGHETTI

HistoryandPhilosophy)

B)MÂelanges(Miscellanies)

C)Correspondance(Correspondence)

D)Chronique(News)

E)Notesetdocuments(Notesanddocuments)

maticaljournals) `Chronique'and`Notesetdocuments'. camepredominantlyfromEurope. ontheconvergenceofseries.

30F.FURINGHETTI

informationaboutforgottenworks.

THEMESANDAUTHORS

AlgAlgebraMetMethodologyinteaching

AnaAnalysisModMathematicalmodels

AppApplicationsNomNomography

AstAstronomyinstruction

FMaFinancialmathematicsinstruction

GeoGeometryPhMPhilosophyofmathematics

ICICMIPsyPsychology

InqInquiriesSocSociety

LogLogarithmsToNNumberTheory

MaPMathematicalPhysicsVarVariousthemes

MecMechanicsVecVectors

CONTRIBUTIONSTHATAPPEAREDINTHEJOURNAL,

CLASSIFIEDBYTHEMES,ANDTHEIRDISTRIBUTION

quotesdbs_dbs47.pdfusesText_47

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