初中生對無理數(shù)概念的理解.pdf

1、華東師范大學(xué)碩士學(xué)位論文初中生對無理數(shù)概念的理解姓名：楊秀娟申請學(xué)位級別：碩士專業(yè)：教育（數(shù)學(xué)）指導(dǎo)教師：陳月蘭20071001初中生對無理數(shù)概念的理解AbstractIrrationalnumbersageinherentlydifficult，yet，understandingofirrationalnmnbersisextensionandreconstructionoftheconceptofnumberfromtllesyst

2、emofrationalnumberstothesystemofrealnumbersinhi曲sch001Thepaperisaninvestigationofthejuniors’understandingoftheconceptofirrationality，accordingtoTiroshD’Sconceptualframeworkandconceptionoftheoriesofcognition，fromthedefini

3、tion，therepresentations，thealgorithm，thepropertyandapplicationofirrationalityThepaperisexpectedtosolvesomeconfusionofirrationalityandsearchfortheOaLk∞ofthemSomeconclusionsafterquestionnairesurvey，literaturesearchandindiv

4、idualinterview：(1)奶mrespecttOdefinitionofirrationality，juniorsrememberedwell(2)Juniors’conceptimageofirrationalityisshortofintheearlierperiod，only1426％ofjuniorsrememberedzr(3)Juniors’conceptimageofirrationalityisscarce(4

5、)withresp刪toJuniors’intuitionsandtheirformalknowledge，thereareinconsistenei韶(5)withrespecttoJuniors’intuitionsandalgorithmknowledgeofirrationalitytherealeinconsisteneies(6)withrespecttothepropertyofirrationality，JuniorsR

6、resubjectedtothenegativeeffectionofknowledgeofrationalnumbers(7)withrespecttotheapplicationofirrationalityJuniorshavedifticIlltyinassociatingrealproblemsFinallysomesolutionsaleoffered：(1)Teachingshouldbecombinedwiththetw

7、ocompetingdefinitionsofirrationality(2)Thecontentofrationalnumbersandirrationalnmnb粥shouldbcdosedarrangementtogether(3)Teachingshouldbecombinedwiththeformalknowledgeandalgorithmknowledgeofirrationality(4)Strenqthentheusa