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1、A..N!iD!iiCFORMSOFCONSTRUCTIVISM,COGNITIVEDEVELOPMENTANDNUMBERLEARNINGJacquelineBideaudSummaryGeneticconstructivismregardsthedevelopmentofcognitivestructuresastheprod-uctofinteractionsamongthreesystemsofequilibrationrelatingtophylogenesis,sociogenesisandpsychogene
2、sis(Celltrier&:Decret,1992).Fromthispointofview,thestudyofnumbersisofparticularinterestsinceitrevealsvisibleinteractionsbetweenthechild,hiscurrentformsofcognitiveorganizationandhisparticularsocioculturalenvironments.Itisalsoworthyofnotebecausethemajorconstruc-tivi
3、sttheories(thegeneticpsychologyofPiaget,the'constructive'innatenessofGelmanandthesociogenesisofFuson)havetakenaninterestinnumbers,focusingtheirattentioninvaryingdegreesononeofthesystemsinquestion.Ourpurposehereistoshowtherelevanceofthecomplementarityoftheseapproac
4、hestoresearchinandtheteachingofelementaryarithmetic.Originallanguage:FrenchJacquelineBideaud(France)Currentlyhonoraryprofessorat~eCharlesDeGaulleUniversity(LilleIII),afteraperiodasseniorlecturerattheUniversityofParisV.Herresearchandreachinghavemainlyfocusedonthede
5、velopmentinchildrenofthelogicalstructuresofintelligence,ontheroleofmentalimageryandspatialorganizationincognitivedevelopment,andontheconstructionofnumbersandelementarynumericaloperations.Herpublicationsinclude:Logicandimprovizationamongchildren(1985),Theroadstonum
6、bers(1991)withC.MdjacandJ.-P.Fischer,Humande~Jelopment(1998)incollaborationwithO.Houd~andJ.-L.P~dinielliandMentalimageryanddevelopment(1998)withY.Courbois.Thesefourworksprovideanexcellentstatementofherexperimentalandtheoreticalviews.E-mail:jacbideaud@wanadoo.frPro
7、spects,voLXXX1,no.2,June2001176JacquelineBideaudIntroductionThereareseveralreasonsforchoosingthedevelopmentoftheconceptofnumbersasameansofapproachto'Constructivism:usesandprospectsineducation',thethemeofthesymposium.First,itisafieldinwhichmanyfairly'visible'intera
8、c-tionsbetweenthechildandthevarioussocialcontextsinwhichheorshelivesarerevealed.A'software'designedinadvance,withitsownrulesofprocedure,mustbeinternaliz
