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數2006,i數()TaiwanJournalofMathematicsTeachers2006年12NO.82006行林福來立數EditorialPanel呂立北數李北立數林立蓮數金立數梁立立數劉祥立數劉麗立數理列數北116路88立數M21202-29307151tame@math.ntnu.edu.tw~tame/index.htmdcyang@mail.ncyu.edu.tw隆85立數05-2263411-1924行數1.數立數樂數2.數數數略流3.數理論理論數4.數數DIY來參5.數念易念6.數數數參3年4行年36912行行ISSN1815-6355數2006,數TaiwanJournalofMathematicsTeachers82006年12數錄82006年12………………………………………………………………1劉祥數臨…………………………3量MiC量例……………………………………………………………11量理……………………21年數…………………………………………41……………………………………………………50ISSN1815-6355數2006,劉祥立數數-數了論歷不讀1.數臨說老料2.老量數例數量3.兩了念4.老年數數量數都數數1.念念了老什數念數2.數識數年歷數數識識數老1數2006,3.力利什數力索4.念數念數念數念數數5.數數力來老都數臨讀數數不數2數2006,3數臨1立數年參度不度不流例年數NCTM(2000)了數2001年了來(NoChildLeftBehindAct,NCLB)老見數()行行NCLB行連了老力類數數老樂力更數更路福來1來數**聯(:R303T010735)不立**Dr.BarbaraReysandDr.RobertReys,UniversityofMissouri-Columbia,USA.數2006,4年來數例年什數都(2003Reys,Dingman,Sutter&Teuscher,2005)不練數靈理量量來來力都數精神更連(localreportcards)量料讀老行度力便更讀都讀利金老更來略裡識(參).來老略參2003年(AERA)年Whitehurst(2003)行切數聯切領金都來勵jcchen@mail.ncyu.edu.tw數2006,5(NRC,2002,2004)更理說來索數諸便數數(NCTM)行了(Timeisripeforaction)行(AnAgendaforResearchAction,Middleton,etal.,2004)若NCLB都不樂來理料不劣爐來說立略便立見例2002年聯(金$1,200,000)行年老數數不來參(Standards-Based)來(Reys,Robinson,Sconiers&Mark,1999)(CommercialVersion)行論聯11六數參年參數2006,6來參力說臨老老不都不參例年兩行年度量度留諾老()數參量量來不不理行老都不流行劣來諾參老都匿例來說數論參來數老參不料不參來不數離了都例說了度參量料了年來量料數2006,7量兩(TheTerraNovaSurvey)(TheBalancedAssessment)來數量都度度年了數老說領力不量(MultipleChoice)(ShortConstructedResponse)(ExtendedConstructedResponse)度量理度參數年類數力異老劣來量老老不參不行老度老寧狀量參不力率不率說參益更力說來說來都理老數2006,8老羅例索行量參類說不老參老錄度老不說力量老不數老老不更不老精來不老料(Weissetal.,2003)不都老樂老更(Wilson&Blank,1999)都兩不離利路(Valverde,Bianchi,Wolfe,Schmidt&Houang,2002)不了老樂參降數Seeley(2005)NCTM數2006,9論()兩連參2003年數領北Middleton,J.A.,Dougherty,B.,D’Ambrosio,B.,Gutstein,E.,Hala,M.,Heid,M.K.,deLoach-Johnson,&Reys,R.(2004).Anagendaforresearchactioninmathematicseducation:Beginningthediscussion.JournalforResearchinMathematicsEducation,35(2),74-80.NoChildLeftBehindAct.(2001).PublicLawNo.107-110.Retrievedfrom(2000).PrinciplesandStandardsforSchoolMathematics.Reston,VA:Author.NationalResearchCouncil.(2002).Scientificresearchineducation.CommitteeonScientificPrinciplesforEducationResearch.Shavelson,R.J.,&Towne,L.,Editors.CenterforEducation.DivisionofBehavioralandSocialSciencesandEducation.Washington,DC:TheNationalAcademiesPress.NationalResearchCouncil.(2004).OnEvaluatingCurricularEffectiveness:JudgingtheQualityofK-12MathematicsEvaluations.CommitteeforaReviewoftheEvaluationDataontheEffectivenessofNSF-SupportedandCommerciallyGeneratedMathematicsCurriculumMaterials.MathematicalSciencesEducationBoard,CenterforEducation,DivisionofBehavioralandSocialSciencesand數2006,10Education.Washington,DC:TheNationalAcademiesPress.Reys,B.,Robinson,E.,Sconiers,S.,&Mark,J.(1999).Mathematicscurriculabasedonrigorousnationalstandards:What,why,andhow?PhiDeltaKappan,80(6).Reys,B.J.,Dingman,S.,Sutter,A.,Teuscher,D.(2005).Developmentofstate-levelmathematicscurriculumdocuments:Reportofasurvey.PreparedbytheCenterfortheStudyofMathematicsCurriculum.Available:,C.(2005).Usingresearchtoimproveteaching.TheNCTMNewsBulletin,41(8),3.Valverde,G.A.,Bianchi,L.J.,Wolfe,R.G.,Schmidt,W.H.,&Houang,R.T.(2002).Accordingtothebook:UsingTIMSStoinvestigatethetranslationofpolicyintopracticethroughtheworldoftextbooks.KluwerAcademicPub.,TheNetherlands.Weiss,I.R.,Pasley,J.D.,Smith,P.S.,Banilower,E.R.,&Heck,D.J.(2003).Lookinginsidetheclassroom:AstudyofK-12mathematicsandscienceeducationintheUnitedStates.ChapelHill,NC:HorizonResearch,Inc.Whitehurst,R.(April,2003).Theinstituteofeducationsciences:Newwine,newbottles.PaperpresentedatthemeetingoftheAmericanEducationResearchAssociation.Retrievedfrom,L.D.&Blank,R.K.(1999).ImprovingmathematicseducationusingresultsfromNAEPandTIMSS.CouncilofChiefStateSchoolOfficers,StateEducationAssessmentCenter.數2006,11量MiC量例年年來來量量數蘭Freudenthal數(MiC)量例數參量數了年六年年年了不行數來量易見都量六年量都例六年數都都不量裡行量不六年都年來都量量弄jack1110@mail2000.com.tw數2006,12量什量切聯量量量讀數”數58年連(MathematicsinContext:AConnectedCurriculumforGrades5-8MiC)”了數量更令量參略量例MiC1991年1995年金(NSF)5,000,000數蘭UtrechtFreudenthalInstitute數Dr.Romberg理數行來蘭JandeLange()KoenoGravemeijer行藍EncyclopaediaBritannicaEducationalCorporation(EBEC)年見40(2-4)58年年10(unitguide)說數(NCTM,1989)聯論數類數2006,13練(studentbooklet)裡(數)2-4蘭(Americanized)(pilottest)更(fieldtest)量料(assessmentmaterials)例行量數力(mathematicalpower)勵量了理料(instructionalmanagementmaterials)40論年年量料(multimediamaterials)EBECVCD料六(technologicalplatform)裡VCDMiC蘭來數理念數類不Dr.Romberg蘭來料便量數(NationalCouncilofTeachersofMathematics,NCTM)數(NCTM,1989)(NCTM,1991)量(NCTM,1995)MiC數力(mathematicalabilities)數力(mathematicalpower)(NCTM,1989)量數力力數2006,14參MiC了40都都量念識理連例行類不列若不例說念識()列識””(patterns)()””()()念數念()理連(六)數理()來()拓()例行類()類MiC量來數力力量MiC了量行量數2006,15量數力量來MiC六(sectionA~sectionF)都例sectionA””(pairing)sectionF”更”(moreaboutsymbolsandblocks)量落(summaryquestions)例sect
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