数学史与数学教育整合的研究

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1、西北大学博士学位论文数学史与数学教育整合的研究姓名：冯振举申请学位级别：博士专业：科学技术史（数学史与数学教育）指导教师：曲安京20070401AStudyOntheIntegrationofHistoryandPedagogyofMathematicsAbstractHistoryandPedagogyofMathematics，abbreviatedtoHI'M，hasbeenaworldwideinfluenfialmoverncntsince1970s．Manyhistorianandteachersofmat

2、hematicsareattractedtopaymuchattonfiqntothisfield．Unfortunately,atpresent,althoughscholarsinmainlandChinaareinterestedverymuchinI-IPM，fewpeoplemakeseriousresearchinthistopic．AsystematicstudyonHPMissignificantnotonlytotheinvestigationofmethodonintegratinghistorya

3、ndeducationofmathemafics’butalsototheunderstandingofthepatternofHPM．Therefore,thehistory,CaUSes’andmethodsofintegratinghistoryandeducationofn埔nMT删cs雠introducedindetails．Basedonanalyzingthematerialsinhomeandabroad,arelativelycomprehensivestudyofHPMismade．Themainr

4、esultswehaveobtainedinthispaperal-Oasfollows：nIttracesthedevelopmentofHPMsystematically,andputsforwardtheconceptionofintegratinghistoryandeducationofmathematics．ItinvestigatesthenecessityofHPMfromtheresearchpurposeofhistoryofscienceandmathematicsaswellastheeduca

5、tionalfunctionofllistoryofmathematics．Further,itexploresandanalysesthereasonabletheoreticalbasesofHPMaregeneticapproachandconstructionism．21ItprobesintoalltheIevelsofOaU．sesofHPM．First,fromthenatu把ofmathematics，mathematicsresultsfromtheconstantdevelopmentofhuman

6、activities．ItiSadynamicscience．Second，mathematicsisonepartofhumanculture．especiallyasitiSmulticultural。leadsthathistoryofmathematicsisthecxtlTierofcultureofmathematics．咖，mathematicsiscloselyrelatedtoothersciences，anditembodiesconcretelyinothersciences．Therefore，

7、thestudyofmathematicscanillustratethemulticu／turalismofmathematicsandmakestudentsnolongerregardmathematicsasacoldandpurescience．3)ItmakesaconcretestudyonthemathematicsteachingfunctionsofHPM，especiallythatofstimulatingthedevelopmentofstudents’thinking．BasedonPiag

8、et’SgeneticepistemologyandVygotsky’Sseeioculturaltheory,itmakesaconcretestudy0nhowtoovercomethestudents’cognitivedi伍culfiesandhowtoconstnlctstudents'knowledgeunderspe