“数学史——探索”教学模式的理论构建及其实施策略研究

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1、西北大学博士学位论文“数学史——探索”教学模式的理论构建及其实施策略研究姓名：范广辉申请学位级别：博士专业：科学技术史（数学史）指导教师：罗见今20100615TheTheoreticalConstructionof‘‘HistoryofMathematics--Inquiry’’TeachingModelandResearchingonitsImplementationStrategiesAbstractSincetheInternationalStudyGroupontheRelationsbetweenH

2、istoryandPedagogyofMathematicswasfoundedoverthirtyyearsago，theresearchoftheoriesandimplementationofHPMhasdevelopedrapidly．ButwhenlookingatthecurrentsituationofHPM，wewilldiscoverthatcomparingtotherichHPMtheory，theresearchofimplementinginclassroomiSverylesssys

3、tematicandstaysatindividualcasesinwhichcertainteachersapplycertainhistoricalcontainsinclassroom．AndwhetherindividualcasesofapplyingmathematicalhistorycanbeextendedtOotherteachers，schoolsorotherlevelsisamootpoint．ThoseareurgentproblemstobesolvedinHPMresearch．

4、Ontheotherhand，ourmathematicseducationoreventhewholeeducationismoreandmoreincommensuratetheneedofthesocialandeconomicdevelopmentinChina，andiswidelyscoldedbyspecialistsandthepersonsconcerned．Thelostofthelearners’creativeabilityhasbecameallimportantproblemwhic

5、haffectingthefuturedevelopmentofourcountry．Oureducatingandteachingmethodsmustbereformedintheangleofenhancingthelearners’creativeability．Sotheinquiryteachingisadvocatedverystrongly．Becausethehistorical-geneticprincipleisthetheoreticalbaseofbothHPMtheoryandinq

6、uiryteaching，weintegratethemtosolvetheproblemsaboveconcerned．Themainresultswehaveobtainedinthispaperareasfollows：(1)InordertosolvetheproblemsinHPMpracticesystem，weshouldstartourresearchwiththeHPMtheoryitselfatfirst．Byfurthercollectingandanalyzingtheconcemlit

7、eraturesofHPMathomeandabroad．wefindthatthecauseofproblemintheHPMpracticalresearchisthattheHPMtheoryisrathermiscellaneousandunsystematic．Hence，weanatomizetherepresentativetheoriesofHPMtothisdaybyclassification．Inwhichthekeyisthatwespecificallyseparate‘‘theway

8、ofusinghistoryinmathematicseducation”from“theargumentsforusinghistory”andreclassifythem．Inthisway,webuildatheoreticalplatformforteachingpracticeofHPM．Thusalmostalltheteacherswhowanttoapplyhistor