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74～123立數年年年歷說行力數念便利年33參數()列不(狀不)數不()念不數識數數年:dcyang@mail.ncyu.edu.tw05-226-3411ext1924～75年數領數行索識識行Lesh&Lamon,1992連了易類林1996Resnick1988類參peripheralparticipation參說不參更易狀Cooper1989說參Livo&Rictz,1986Scott1985裡說若數連利識行數數讀了Burns(2004)利行不連更年數了數念說行更力數念storyMcLellan,1993理論識識索Brown,Collins,&Duguid,1989數行數數76說不參更易狀Scott1985裡說說了更劉1994力Root1971行不立了見了行念Commeyras(1989)練辩力了列(林1996)易識易類了連度寧1995念留念量念()留念留念狀切了留不力不切留念Hutton,1978Hart,198419881988寧1998a不留念寧1995留念數不了Douady&Perrin1986留念理理量念()量念量來數來寧1998b年行量念數數～77不量來量理來Baturo&Nason(1996)Kenney&Kouby,1997Lindquist&Kouby,1989Simon&Blume,1994年年念理例度念寧1998a2001念Outhred&Mitchelmore,2000連串弄量理來念數爲了便行便利33年行立念行了念樂料1990利來了數念來數數7念參Burns(2004)利裡行數念連17812念兩不狀了不立了兩-樂2了:8利不離了來了不3連數念不了狀不不32參84...了裡流行論老說1流～79數練錄參論行～來念行()念行(數)樂22數數來1-11012102老數了樂280103數數數數數了1-21041010101010770105106樂數念行數行(數)()1行年1行2-120112027070若1170170行202了2-2203樂20464來6420520670641行～81行()量行利來利---行練練利量2不錄練不1行數3念行4行()數數了列3練錄4練錄821.30數數4.20更更4數數數了不數數類不更立不識不立念()了不5了利利念行識行～833-1303什狀304305老例6來7識不2123846567843-2306說6464六老了了什說說30764六8308來309310利念了更念3-3311來了?來說說了什31224313314了38241222483錄～85利不利----更不9列36錄數列列9()數列111=389錄866識了數論臨論行數數來識良狀利行數不什數不()列不()數參32數數列見數4-14018列數兩?4028403什?～87404說4兩8405兩?什?406(數數)6…了來了數數244兩8若數來了數()不32行32索32不4來便326-160132?602432了603說?604不連了48便32念來了列115錄88錄不4來便32()數練了數7-1701270267031170461661度166數()數不()列數數不論不列立數不()列數8-1801了81來802:8803行不數老來列80412～89121612161820182024六32243212不數列805六8068老說18807什808不不數不列列不狀易狀不不練13數不()列狀不90(六)數列130列數428例行了論列數力量行數歷了了了數()列不(狀不)數不()念13錄～91數數了不數數Scott1985Commeyras1989Root1971論更更識劉1994更行數數連數識Brown,etal.,1989NCTM,2000PISA,2004TIMMS,2004不數識數行論臨論了Brown,Collins,&Dugid1989Lesh&Lamon1992識論了數念參不良狀利狀NSC-92-2522-S-415-002論見不立19965-11(1988)p.183-219(1988)NSC77-0111-S017-01A921994317-1819953514-191998a11573-6021998bp214-229(2001)Marilyn,B.(2004)Baturo,A.,&Nason,R.(1996).Studentteachers’subjectmatterknowledgewithinthedomainofareameasurement.EducationalStudiesinMathematics,31,235-268.Brown,J.S.,Collins,A.,&Duguid,P.(1989).Situatedcognitionandthecultureoflearning.EducationalResearcher,46(1),32-43.Cooper.P.(1989).UsingstorytellingtoteachoralcommunicationcompetenciesK-12.PaperpresentsinTheAnnualMeetingoftheSpeechCommunicationAssociation(75th,SanFrancisco,CA.).(EricDocumentReproductionServiceNo.ED314798)Commeyras,M.(1989).AnalyzingaCritical-ThinkingReadingLesson.(ERICDocumentReproductionServiceNo.ED304680,26pages).Douady,R.&Perrin,M.J.(1986).Concerningconceptionsofareastudentsaged9to11.Proceedingsofthe10thInternationalConference,PsychologyofMathematicsEducation.London,England,253-258.Hart,K.(1984).Whichcomesfirst-length,area,orvolume?ArithmeticTeacher,31(9),16-18,26-27.Hutton,J.(1978).MemoirsofaMathsTeacher:6UnderstandingSpace.MathematicsTeaching,82,8-14.Kenney,P.A.,&Kouba,V.(1997).Whatdostudentsknowaboutmeasurement?InA.Kenney&A.SilverEds..ResultsfromtheSixthMathematicsAssessmentoftheNationalAssessmentofEductionalProgress141-163.Reston,VA.:NationalCouncilofTeachersofMathematics.Lindquist,M.M.,&Kouba,V.L.(1989).Measurement.InM.M.Lindquist(Ed.).ResultsfromtheFourthMathematicsAssessmentoftheNationalAssessmentofEducationalProgress,35-43.Reston,VA:NationalCouncilofTeachersofMathematics.～93Lesh,R.,&Lamon,S.J.(Eds.)(1992).AssessmentsofAuthenticPerformanceinSchoolMathematics(pp.17-62).Washington,DC:AmericanAssociationfortheAdvancementofSciencesPress.Livo,N.Rietz,S.(1986).StorytellingProcessandPractice.Littlejohn,LibrariesUnlimited.Lemke,M.,Sen,A.,Pahlke,E.,Partelow,L.,Miler.,D.,Williams,T.,etal.(2004).Internationaloutcomesoflearninginmathematicsliteracyandproblemsolving:PISA2003resultsfromtheU.Sperspective(NCES2005-003).Washington,DC:U.SDevelopmentofEducation,NationalCenterforEducationStatistics.McLellan,H.(1993).Evaluationinasituatedlearningenvironment.EducationalTechnology,38(3),39-45.Mullis,I.V.S.,Martin,M.O.,Gonzalez,E.J.,&Chrostowski,S.J.(2004).TIMSS2003internationalmathematicsreport:FindingsfromIEA’sTrendsinInternationalMathematicsandScienceStudyatthefourthandeighthgrades.ChestnutHill,MA:BostonCollege,TMISS&PIRLSInternationalStudyCenter.NationalCouncilofTeachersofMathematics.(2000).ThePrinciplesandStandersforSchoolMathematics.Reston,VA:NCTM.Outhred,L.,&Mitchelmore,M.(2000).Youngchildren’sintuitiveunderstandingofrectangularareameasurement.JournalforResearchinMathematicsEducation,31(2),144-167.Resnick,L.(1988).Learninginschoolandout.EducationalResearch,16(9),13-20.Root,SheltonL.,Jr.(1971).IntheNightKitchen.ElementaryEnglish48(1971):262-263,and537.Simon,M.A.,&Blume,G.W.(1994).Buildingandunderstandingmultiplicativerelationships:Astudyofprospectiveelementaryteachers.JournalforResearchinMathematicsEducation,25(5),472-494.Scott,P.(1985).StorytellingAguidetotheart.PrimarySchoolNotesP.E.Nn49.NewSouthWales.AustraliaPrimaryEnglishTeachingAssociation.EricDocumentReproductionServiceNo.ED26355294TheStudyofIntegratingStoryintoMathematicsTeachingAnExampleofAreaUnitWan-ruWu1Fong-CiouCai2Der-chingYang31TaoyangCountyXing-fupublicelementaryschool2,3TheGraduateInstituteofMathEducation,NationalChiayiUniversityAbstractThepurposesofthisstudywe