ࡱ>  23  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~Root Entryb.@p2yŝjSlideShow2yŝj2yŝjMain PerfectOffice_MAIN& O  Original Slide Show!  Oh+'Oh+'0 D T `Glenda Breauxu      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./01WPCO ~ =BHN-f{OOOO|"XXXX'3XXXX3' >!,&R3 ?O ;M$)]t+057n:[?RCFJMiTY[ e~&kpRuYz;ʌߐhGL@9[WPC 2( Y22  I  .3  BuildingaBridgeBetweenPolicyandPractice:....2  1  .3  MathematicsTeacherEducationFromanInternationalPerspective..2  A  .3  GailBurrill..2  A  .3  JoanFerrini-Mundy..2  A  .3  JohnnyLott,inabsentia2( X22  I  .3  PresentationOverview....2  1  .3  ParkCityMathematicsInstituteInternationalSeminaronPolicyandPractice..2  A  .3  c&d9 Z6Times New Roman RegularcxxxSummer2001:IssuesinMathematicsEducation..2  A  .3  Summer2002:TeacherEducationandProfessionalDevelopment....2  1  .3  c&d9 Z6Times New Roman Regularc Commonthemesandchallenges....2  1  .3  c&d9 Z6Times New Roman Regularc SamplesfromtheSeminarc&d9 Z6Times New Roman Regularcxxx ..2  A  .3  c&d9 Z6Times New Roman RegularcxxxAdviceonhowtobestpackageandsharetheexperiencewithUSteachereducators....2  1  .3  c&d9 Z6Times New Roman Regularc Whatwouldbeusefultoyou?c&d9 Z6Times New Roman Regularcxxx -#-2  I  .3  ParkCityMathematicsInstituteInternationalSeminar..2  A  .3  PCMI:A"verticallyintegrated"summerexperienceformathematicians,teachers,graduateandundergraduatestudents..2  A  .3  InternationalSeminarlaunchedsummer2001....2  1  .3  c&d9 Z6Times New Roman Regularc SupportedthroughfundsprovidedtotheInstituteforAdvancedStudybytheWolfensohnFoundationandBristolMeyerSquibb ..2  A  .3  Topics:c&d9 Z6Times New Roman RegularcNationalstandards,teachereducation,content,traditionvs.reform,depthandbreadth,excellence&accessibility,matheducationasaprofessionc&d9 Z6Times New Roman Regularc..2  A  .3  Representativesfrom8countries....2  1  .3  c&d9 Z6Times New Roman RegularcBrazil,Egypt,France,Japan,India,Sweden,Kenya,USA....2  1  .3  c&d9 Z6Times New Roman Regularc Onepolicymaker,oneclassroomteacher--not"officialrepresentatives"--storiesfrompractitioners 2(]22  I  .3  Summer2001:BridgingPolicyandPractice....2  1  .3  Highlights ..2  A  .3  c&d9 Z6Times New Roman RegularcxxxRoleandinfluenceofnationalstandardsc&d9 Z6Times New Roman Regularc....2  1  .3  c&d9 Z6Times New Roman RegularcNomatterwhat,teachershaveconsiderableautonomy....2  1  .3  c&d9 Z6Times New Roman RegularcCountrieswithnationalstandardslookalotlikethosewithoutthem,andviceversa..2  A  .3  c&d9 Z6Times New Roman RegularcxxxWidecommitmentto"standards-basedideas"c&d9 Z6Times New Roman Regularc....2  1  .3  c&d9 Z6Times New Roman RegularcEpisodewithnewspaperreporter;"it'stheotherwayaround8.."....2  1  .3  c&d9 Z6Times New Roman Regularc"traditionalvs.reform"mathematicseducation..2  A  .3  c&d9 Z6Times New Roman RegularcxxxVariationincommitmentto"educationforall"(massification)hasimplicationsfordemandsonthesystem(includingtheteachereducationcurriculum)-#Z\[-2  I  .3  ProceedingsofSummer2001....2  1  .3  MathematicsEducationAroundtheWorld:BridgingPolicyandPractice..2  A  .3  Theproceedingsofthe2001InternationalPanelcanbefoundathttp://mathforum.org/pcmi-# -2  I  .3  Summer2002:TeacherEducationandProfessionalDevelopment..2  A  .3  Askedparticipantstobringanexampleofa"promisingpractice"toillustratehowourcountrieseachapproachteachereducation.....2  1  .3  c&d9 Z6Times New Roman RegularcParticipatingcountrieswereBrazil,Egypt,France,Japan,India,Sweden,Kenya,USA..2  A  .3  Weaskedthemtowatchandlistenfortwokindsofthings:....2  1  .3  c&d9 Z6Times New Roman Regularc commonprinciplesaboutanduniqueapproachestoteachereducation....2  1  .3  c&d9 Z6Times New Roman Regularc commonresearchareasandissuesthatmayhelpusdesignaninternationalagendaordevelopsomematerialsthatwouldbeusefulacrosscountries.c&d9 Z6Times New Roman Regularcxxx -#    -2  I  .3  CommonThemesandChallenges..2  A  .3  Coordinatingstakeholdersandbuildinginfrastructure..2  A  .3  Balancingpedagogy,content,andtheintersection..2  A  .3  Financialconstraints..2  A  .3  Disconnectbetweenpreserviceeducationandteachingpractice..2  A  .3  Gettingestablishedteacherstorevisetheirpractice..2  A  .3  Concernsaboutsupportfornewteachers..2  A  .3  Culturalconsiderationsinfluencepossibilitiesforchange..2  A  .3  Developingacohesivemathematicseducationcommunity..2  A  .3  Lackofcoherenceinprofessionaldevelopmententerprise2(    22  I  .3  ProfessionalDevelopment(PD)....2  1  .3  ExamplesfromThreeNations..2  A  .3  Brazil:school-based,teacher-drivenprofessionaldevelopment..2  A  .3  Sweden:centralized,plannedteachereducationprogram..2  A  .3  Japan:school-based,collaborativelessonstudy2(  22  I  .3  Brazil:school-based,teacher-drivenPD....2  1  .3  TheApproachandFocus..2  A  .3  Thegroup'sroleistostudyroutinesthathavepromotedthefailureofmathematicsteachinginclassrooms...2  A  .3  Theyapproach practiceasanobjectofstudy...2  A  .3  Themembersofthegroupincludeundergraduatesinmathandpedagogy(prospectiveteachers),graduatestudents,andpublicandprivateschoolteachers...2  A  .3  PDfocusesonpromotingthedevelopmentofsocialresponsibilitythroughmathematicseducation.....2  1  .3  c&d9 Z6Times New Roman Regularcencouragesaperspectiveonmathematicsteachingwhichpositsmathematicalthinkingasaninstrumentthatcanbeusedtointerpretrealityinacriticalway.c&d9 Z6Times New Roman Regularc-#  -2  I  .3  Brazil:school-based,teacher-drivenPD(cont.)..2  A  .3  c&d9 Z6Times New Roman RegularcxxxEnvironmentalmathematicsisatopicusedtopromotesocialresponsibility...2  A  .3  c&d9 Z6Times New Roman RegularcxxxContentexploredintheelementaryschoolincludes:c&d9 Z6Times New Roman Regularc....2  1  .3  Deforestation(theconceptofgreenspaces)....2  1  .3  Trashproduction(geometry)....2  1  .3  Biologicaldiversity(statistics) 2(  22  I  .3  Brazil:school-based,teacher-drivenPD(cont.)....2  1  .3  Challenges..2  A  .3  Thereareconflictsbecauseuniversitypeoplefeelthattheyaretheonlyoneswhoshoulddoteacherdevelopment--althoughthesegroupshadschool-basedcoordinators.-# -2  I  .3  Sweden:centralized,plannedteachereducationprogram..2  A  .3  Oneintegratedprogramforallteachers,frompre-schooltouppersecondarylevel..2  A  .3  Differentoptionswithintheprogram..2  A  .3  Greatflexibility,studentscanmakesuccessivechoices..2  A  .3  Eachuniversitydesignstheprogramwithinthecommonframe--therearebigdifferencesbetweenuniversities2( 22  I  .3  Sweden:centralized,plannedteachereducationprogram(cont.)....2  1  .3  ElementsoftheProgram(since2001)..2  A  .3  Ԁc&d9 Z6Times New Roman RegularcxxxThreemainparts:c&d9 Z6Times New Roman Regularc....2  1  .3  c&d9 Z6Times New Roman RegularcOnecommoncourseforallstudents....2  1  .3  Oneortwoorientations(theprofileoftheteacher),eachorientationisminimum1studyyear,40credits....2  1  .3  Oneormorespecializationsgivingdepthorbreadth,eachspecializationamountsto20creditsofstudy2( 22  I  .3  Sweden:centralized,plannedteachereducationprogram(cont.)....2  1  .3  Commoncourseforallteacherstudents,generalteacherstudiesinvolves:..2  A  .3  1.5studyyears,60credits..2  A  .3  Generaleducation,psychology,etc...2  A  .3  Schoolpractice,10credits..2  A  .3  Interdisciplinarysubjectstudies..2  A  .3  Degreeproject,10credits,(mayalsobecontainedinoneofthespecializations,part3)..2  A  .3  Thecoursemaybesplitupintopartsandinterwovenintotherestoftheeducation2(  !22  I  .3  Sweden:centralized,plannedteachereducationprogram(cont.)....2  1  .3  Orientationtowardsasubjectorafieldofsubjectsorcompetenciesinvolves:..2  A  .3  c&d9 Z6Times New Roman RegularcxxxMinimumoneyear,40creditsincluding10creditsofschoolpractice..2  A  .3  c&d9 Z6Times New Roman RegularcxxxExamplesoforientationsincludingmathematics(source:Lule#UniversityofTechnology):c&d9 Z6Times New Roman Regularc....2  1  .3  Mathematicsforyoungerchildren(year1-5),40credits....2  1  .3  Mathematicsforolderchildren(year6-9),40credits....2  1  .3  Mathematicsforuppersecondaryschool,60credits....2  1  .3  Mathematics&computerscience,80credits....2  1  .3  Mathematics&physicsorMathematics&chemistry,100/120credits 2( "#$22  I  .3  Sweden:centralized,plannedteachereducationprogram(cont.)....2  1  .3  Specializationsinvolve:..2  A  .3  Onesemesterofstudy,20credits..2  A  .3  Itmayeitherdeepenoneoftheorientations(mostoftenonesubjectarea)oritcouldbeanewsubjectareaorsomecompetency(likemathematicsforchildrenwithspecialneeds)..2  A  .3  Theremayormaynotbeadidacticalperspectiveintegratedintothespecialization2( %&'22  I  .3  Sweden:centralized,plannedteachereducationprogram(cont.)....2  1  .3  TheProfessionalDevelopment(PD)ofPracticingTeachers..2  A  .3  c&d9 Z6Times New Roman RegularcxxxTherearetwosourcesofPDservicesc&d9 Z6Times New Roman Regularc....2  1  .3  Private(trainingpaidforbyteacher,researchsociety,orotherprivatesource)....2  1  .3  Public(trainingpaidforbythegovernment)..2  A  .3  c&d9 Z6Times New Roman RegularcxxxTherearethreetypesofpublictraining:c&d9 Z6Times New Roman Regularc....2  1  .3  Newteachertraining....2  1  .3  Experiencedteachertraining(firstoccurrenceafter5years&againafter10years)....2  1  .3  Dispatchedtraining(masterscourses)--Notdiscussedinthispresentation.2( ()*22  I  .3  Sweden:centralized,plannedteachereducationprogram(cont.)....2  1  .3  NewTeacherTraining..2  A  .3  Occurs90timesinayear.60timesatschool,30timesoutofschool(atboardofeducationfacilities)...2  A  .3  Trainingsessionsvaryinlength.Someareanhourlong,somearedayslong...2  A  .3  Everynewteacherhasamentoramonghisorhercolleagues...2  A  .3  Theleadteacherinchargeofagroupofnewteachersgivesthemindividualguidance...2  A  .3  Thereisalsoextensivetrainingwherenewteachersattendlecturesonvarioustopics...2  A  .3  Lessonstudyisconductedaswell,andteachersalsogetadditionaltraininginclassroommanagement.2( +,-22  I  .3  Sweden:centralized,plannedteachereducationprogram(cont.)....2  1  .3  ExperiencedTeacherTraining..2  A  .3  Occurs5-6timesduringthe6thand11thyearofteaching...2  A  .3  Trainingoccursingroupsandisdevotedtothemessuchasclassroommanagement,studentguidance,andaddressingspecificproblems(suchasbullying)...2  A  .3  After15yearstrainingoccurs3-5timesintheyear.2( .1222  I  .3  Japan:schoolbased,collaborativelessonstudy....2  1  .3  CaseinPoint:YokohamaNationalUniversity..2  A  .3  c&d9 Z6Times New Roman RegularcxxxThispresentationisexcerptedfromthepresentationgivenbytheJapaneseatthePCMIseminarofSummer,2001.c&d9 Z6Times New Roman Regularc....2  1  .3  ThepresentationfocusedonteachingandwhatisimportantintheirworkatYokohamaNationalUniversity...2  A  .3  c&d9 Z6Times New Roman RegularcxxxSources:c&d9 Z6Times New Roman Regularc....2  1  .3  c&d9 Z6Times New Roman Regularc TeacherTraininginJapaneseMathematicsEducation&TheFirst,Second,andThirdReportbytheEducationPersonnelTrainingCouncil(1997-1999) ....2  1  .3  Authors:......2  a  .3  c&d9 Z6Times New Roman Regularc ToshikazuIkeda,YokohamaNationalUniversity......2  a  .3  c&d9 Z6Times New Roman Regularc YoshiakiKuwahara,ShinmeiJuniorHighSchoolc&d9 Z6Times New Roman RegularcLLL 2( 78322  I  .3  Japan:schoolbased,collaborativelessonstudy(cont.)....2  1  .3  AimsinmathematicseducationatYokohamaNationalUniversity..2  A  .3  c&d9 Z6Times New Roman RegularcxxxMathematicalpointsofviewc&d9 Z6Times New Roman Regularc....2  1  .3  Tofosterstudents'abilitytothinkmathematically....2  1  .3  Toenablestudentstounderstandmathematicalconceptsandideasexistingbehindelementaryandsecondarymathematics....2  1  .3  Tofosterstudents'abilitytorepresentmathematically....2  1  .3  Tofosterstudents'abilitytoutilizetechnology 2( 45622  I  .3  Japan:schoolbased,collaborativelessonstudy(cont.)....2  1  .3  AimsinmathematicseducationatYokohamaNationalUniversity..2  A  .3  c&d9 Z6Times New Roman RegularcxxxEducationalpointsofviewc&d9 Z6Times New Roman Regularc....2  1  .3  Toenablestudentstounderstandtheobjectivesandcontentsofmathematics....2  1  .3  Toenablestudentstounderstandteachingmethodsincludingtheassessmentofmathematicslearning....2  1  .3  Tofosterstudents'abilitytoconstructandanalyzeaclassroomteaching....2  1  .3  Tofosterstudents'abilitytoutilizethemathematicstextbook 2( /9:22  I  .3  Japan:schoolbased,collaborativelessonstudy(cont.)....2  1  .3  CaseinKanagawaPrefecture:..2  A  .3  c&d9 Z6Times New Roman RegularcxxxTrainingProgramforElementarySchoolTeachersthatinvolves:c&d9 Z6Times New Roman Regularc....2  1  .3  Anintroductiontomathematicsforelementaryschoolteachers(CaseofYokohamaNationalUniversity)....2  1  .3  Collaborationonthedailywork....2  1  .3  LessonStudy 2( 0;<22  I  .3  Japan:schoolbased,collaborativelessonstudy(cont.)....2  1  .3  CollaborationontheDailywork..2  A  .3  c&d9 Z6Times New Roman RegularcxxxDailydiscussionintheTeachers'Roomregardingmathematicsteachingfocuseson:c&d9 Z6Times New Roman Regularc....2  1  .3  c&d9 Z6Times New Roman Regularc Progressofclassroomteaching....2  1  .3  MethodsofAssessment....2  1  .3  TeachingMaterials....2  1  .3  Exchangeofviews 2( =>?22  I  .3  Japan:schoolbased,collaborativelessonstudy(cont.)....2  1  .3  LessonStudyasTeacherTraining..2  A  .3  c&d9 Z6Times New Roman RegularcxxxInPre-serviceeducationlessonstudyisused:c&d9 Z6Times New Roman Regularc....2  1  .3  asateachingtoolindemonstrationsofclassroomteaching....2  1  .3  asaoneoftheexaminationstakentobecomeateacher....2  1  .3  asoneofthetoolstoassessclassroomteaching 2( @AB22  I  .3  Japan:schoolbased,collaborativelessonstudy(cont.)....2  1  .3  GoalsofLessonStudy..2  A  .3  Ԁc&d9 Z6Times New Roman RegularcxxxTohelpteacherslearnto seestudentsandmaterials..2  A  .3  c&d9 Z6Times New Roman RegularcxxxTodeterminewhetherornottheteachercanidentifymathematicalessentialpointsofmaterials..2  A  .3  c&d9 Z6Times New Roman RegularcxxxToidentifyandcorrectteachingpracticesthatdepriveofstudentsofopportunitiestothinkmathematicallyc&d9 Z6Times New Roman Regularc2( CDE22  I  .3  Japan:schoolbased,collaborativelessonstudy(cont.)....2  1  .3  GuidingQuestionsinLessonStudy..2  A  .3  c&d9 Z6Times New Roman RegularcxxxSeeingstudentsc&d9 Z6Times New Roman Regularc....2  1  .3  c&d9 Z6Times New Roman Regularcxxx Cantheteacherunderstandwhatstudentsdoanddonotunderstand?....2  1  .3  c&d9 Z6Times New Roman Regularcxxx Canstudentsunderstandthequestionstheteacherisasking?....2  1  .3  c&d9 Z6Times New Roman Regularcxxx Doestheteacherignorestudents'ideasforselfishreasons?....2  1  .3  c&d9 Z6Times New Roman Regularcxxx Cantheteacheracceptandevaluatestudents'ideasappropriately?....2  1  .3  c&d9 Z6Times New Roman Regularcxxx Canstudentsdiscusscooperatively?c&d9 Z6Times New Roman Regularc 2( FGH22  I  .3  Japan:schoolbased,collaborativelessonstudy(cont.)....2  1  .3  GuidingQuestionsinLessonStudy..2  A  .3  c&d9 Z6Times New Roman Regularcxxx Seeingmaterialc&d9 Z6Times New Roman Regularc....2  1  .3  Cantheteacheridentifyessentialmathematicalpoints?....2  1  .3  Cantheteacherrecognizeandrespondtoawiderangeofmathematicalideas(e.g.Divisionwitharemainder"13/5=")? 2( IJK22  I  .3  Japan:schoolbased,collaborativelessonstudy(cont.)....2  1  .3  GuidingQuestionsinLessonStudy..2  A  .3  c&d9 Z6Times New Roman Regularcxxx SeeingStudentsandMaterialsinrelationtoeachotherc&d9 Z6Times New Roman Regularc....2  1  .3  Cantheteacherdevelopthematerialbyconsideringbothessentialmathematicalpointsandstudents'interest?....2  1  .3  Cantheteacherassiststudents'cooperativediscussionsandsummarizetheessentialmathematicalideasderivedfromtheirdiscussions?....2  1  .3  Canstudentsbereasonablyexpectedtosolvetheirownproblemsbasedontheproblemthattheteacherintroduced? 2(  LMN22  I  .3  Japan:schoolbased,collaborativelessonstudy(cont.)....2  1  .3  OutcomesofLessonStudyandCollaborationontheDailywork..2  A  .3  c&d9 Z6Times New Roman RegularcxxxThroughtheuseoflessonstudy,teachereducatorsandteachersdetermine:c&d9 Z6Times New Roman Regularc....2  1  .3  thequalityofteaching....2  1  .3  thetrainingneedsofprospectiveandpracticingteachers 2( !OPQ22  I  .3  Japan:schoolbased,collaborativelessonstudy(cont.)....2  1  .3  ImprovingTeachingandTeacherEducation..2  A  .3  c&d9 Z6Times New Roman RegularcxxxUsinginformationlearnedfromlessonstudyandfromcollaborationonthedailywork,educatorsalsoidentifyfutureissuestobediscussedinJapanc&d9 Z6Times New Roman Regularc....2  1  .3  Itisnecessaryforteacherstodiscusstheissuesthatareusefulinafutureteaching.Namely,itisexpectedforteacherstodiscussissuessuchasthefollowing:......2  a  .3  c&d9 Z6Times New Roman RegularcԀStereotypicalclassroomteaching.........2(  1  )3  (ex.Understandaproblem-solvingindividually-Presentationbystudents-Negotiation)......2  a  .3  c&d9 Z6Times New Roman RegularcԀTheneedtoacceptstudents'ideasandevaluatethemflexibly.........2(  1  )3  Ifateachercouldn'tdoso,studentsmightnotcometolife.2( "STU22  I  .3  ParkCityMathematicsInstituteInternationalSeminar....2  1  .3  BuildingaBridgeBetweenPolicyandPractice:MathematicsTeacherEducationFromanInternationalPerspective..2  A  .3  Whileeachnationhasitsowntraditions,assets,andcontraints,manyoftheproblemsfacedinonenationarealsofacedinternationally...2  A  .3  ThroughdialoguewehaveopportunitiestodiscoverinnovativeapproachestoaddressingproblemsintheU.S.,aswellasopportunitiestoshareourowninnovativeapproachestosolvingproblemsfacedbyothers.2( #RVW22  I  .3  Summerof2003....2  1  .3  BasicAgenda..2  A  .3  Continuedfocusonteacherpreparationanddevelopmentwithnewcountriesmideswithsomefrom2003...2  A  .3  Thegoalistoproduceamanuscriptthattellsstoriesaboutprofessionaldevelopmentactivitiesineachofthecountriesinawaythatisusefulforothers. V j 3!3)U2"[w$mE[BackgroundBackground 3 Blank TitleBulleted ListTextOrg ChartData ChartCombinationWPCINEMWS-3'XXXX,,,,5/ @1 f3f ?"""333DDDUUUfffwwwMf33MMffM&f3@MYfs3Mf̙ٳMMff3Mf&M3f@MYfs3MfMf33MMffM&f3@MYfs3MfMMff3Mf&M3f@MYfs3MfMf33MMff&M3f@MYfs3Mf̙ٳMMff3MfM&f3@MYfs3MfpJ&T0Z4`8f<k@pEzJ̉]٘p槂Ħϰֿfffffffffrffffrffffff9WPCT}-"D3'XXXXKKKK5/ ?@1 f9  C-" $-"/ @1 f3**`!y 合+ ! !+/ Z@1 **`"X0ڨ+'+'1 f**`#+'+' %"B%-+%Y/ @1 ff3f*%G{ 5bML)wRB  (a-Oidd_--b+*&G{ 5bAu; B  S>N CGGZ#-]- b + 13**'G{ 5b,, b "*(G{ 5G G"*)G{ 5`` "**G{ 5z z"*+G{ 5 "*,G{ 5 "*-G{ 5 "*.G{ 5 "*/G{ 5 "*0G{ 5 "*1G{ 5.. "*2G{ 5H H"*3G{ 5b - "*4G{ 5b-"*5G{ 5bm-m"*6G{ 5bS-S"*7G{ 5b9-9"*8G{ 5b-"*9G{ 5b-"*:G{ 5b- ;% - "*<G{ 5b-"*=G{ 5b-"*>G{ 5b-"*?G{ 5bj-j"*@G{ 5bQ-Q"*AG{ 5b7-7WPCXX81%vt 3'XXXXKKKK5139RWPCXX81%p/3'XXXXKKKK ?"""333DDDUUUfffwwwMf33MMffM&f3@MYfs3Mf̙ٳMMff3Mf&M3f@MYfs3MfMf33MMffM&f3@MYfs3MfMMff3Mf&M3f@MYfs3MfMf33MMff&M3f@MYfs3Mf̙ٳMMff3MfM&f3@MYfs3MfpJ&T0Z4`8f<k@pEzJ̉]٘p槂Ħϰֿfffffffffrffffrffffff9R"HE.0 .0 W &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MM)?  Zf&M 4 @ @ @ @ @ @ f" dddddd$ =2  I  .3  TitleofShow  H.0 .%M13M }x/( c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc TitleofShow.+%1f3&M `00++1\ `.0.0J0+01 `J.0J0++.+13"J)F20F20W @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$ @2  I  .3  SubtitleofShow  JF20.%133f F|/c&d9 Z6Times New Roman Regularc@@@        @3f  Q Qc&d9 Z6Times New Roman Regularc@@@ SubtitleofShowWPC3XX81% 0"N3'XXXXKKKK ?"""333DDDUUUfffwwwMf33MMffM&f3@MYfs3Mf̙ٳMMff3Mf&M3f@MYfs3MfMf33MMffM&f3@MYfs3MfMMff3Mf&M3f@MYfs3MfMf33MMff&M3f@MYfs3Mf̙ٳMMff3MfM&f3@MYfs3MfpJ&T0Z4`8f<k@pEzJ̉]٘p槂Ħϰֿfffffffffrffffrffffff9R"z2+R/#R/#W &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MM)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$ >2  I  .3  TitleofSlide  zR/#%M13M F /#c&d9 Z6Times New Roman Regularc     M   @M  Q Q c&d9 Z6Times New Roman RegularcTitleofSlide.+%1f33f `Gq / / q 1\ `HR//< / / q 1 `IRR< /< / q q .+13"|=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$ G2  I  .3  SubtitleofSlide  |/.%133f M5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx SubtitleofSlide.%13"&u /"u /"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$ 2  I  .3  c&d9 Z6Times New Roman RegularcFirstItem2  A  .3  c&d9 Z6Times New Roman RegularcSubitemc&d9 Z6Times New Roman Regularc2  I  .3  c&d9 Z6Times New Roman RegularcSecondItem2  A  .3  c&d9 Z6Times New Roman Regularc Subitemc&d9 Z6Times New Roman Regularc 2  I  .3  c&d9 Z6Times New Roman RegularcThirdItem2  I  .3  c&d9 Z6Times New Roman RegularcFourthItem  u /"153 L+ :/zc&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc  `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcFirstItemc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman RegularcSubitemc&d9 Z6Times New Roman Regularcfc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcSecondItemc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman Regularc        @3fSubitemc&d9 Z6Times New Roman Regularc        @3ffc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcThirdItemfc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcFourthItemWPC."XX81%0"3'XXXXKKKK ?"""333DDDUUUfffwwwMf33MMffM&f3@MYfs3Mf̙ٳMMff3Mf&M3f@MYfs3MfMf33MMffM&f3@MYfs3MfMMff3Mf&M3f@MYfs3MfMf33MMff&M3f@MYfs3Mf̙ٳMMff3MfM&f3@MYfs3MfpJ&T0Z4`8f<k@pEzJ̉]٘p槂Ħϰֿfffffffffrffffrffffff9R"2(R/#R/#Wqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MM)?  @Zf3f 4 f>2  I  .3  TitleofSlide  R/#+%M13M B / #ac&d9 Z6Times New Roman Regularc        @  Q Qc&d9 Z6Times New Roman Regularc     M   @M TitleofSlide+%1f33f `q//q1\ `R////q1 `RR//qq+13"=>/>/W @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$ A2  I  .3  SubtitleofSlide  >/%133f 5>F/c&d9 Z6Times New Roman Regularc@@@        @3f  Q Qc&d9 Z6Times New Roman Regularc@@@SubtitleofSlide%13"&u/"u/"W xx&d9 Z6Times New Roman Regular +@W xx&d9 Z6Times New Roman Regular -@3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9/!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$ 2  A  .3  Thisisthefirstitem.2  B  .3  Thisistheseconditem.2  1  .3  Thisisthethirditem.  u/".%133f +:/c&d9 Z6Times New Roman Regularc        @3fa /!!!!!!aM..Mc&d9 Z6Times New Roman Regularc```        @   ! c&d9 Z6Times New Roman Regularcxxx        @3f0..Thisisthefirstitem.M..Mc&d9 Z6Times New Roman Regularc```        @   ! c&d9 Z6Times New Roman Regularcxxx        @3f0..Thisistheseconditem.M..M..c&d9 Z6Times New Roman Regularc           @  ! 1 c&d9 Z6Times New Roman Regularc        @3f0..Thisisthethirditem.WPC$XX81%0"F3'XXXX,,,, ?"""333DDDUUUfffwwwMf33MMffM&f3@MYfs3Mf̙ٳMMff3Mf&M3f@MYfs3MfMf33MMffM&f3@MYfs3MfMMff3Mf&M3f@MYfs3MfMf33MMff&M3f@MYfs3Mf̙ٳMMff3MfM&f3@MYfs3MfpJ&T0Z4`8f<k@pEzJ̉]٘p槂Ħϰֿfffffffffrffffrffffff9R"21R/#R/#Wqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MM)?  @Zf3f 4 f>2  I  .3  TitleofSlide  R/#+' @ / #lcqd9 Z 6Times New Roman Regularc        @  Q Qcqd9 Z 6Times New Roman Regularc     M   @M  TitleofSlide+'1f33f `q//q1\ `R////q1 `RR//qq+13"=//W`qd9 Z 6Times New Roman Regular -@3fW`qd9 Z 6Times New Roman Regular -@3fW`qd9 Z 6Times New Roman Regular -@3fW`qd9 Z 6Times New Roman Regular -@3fW`qd9 Z 6Times New Roman Regular -@3fW`qd9 Z 6Times New Roman Regular -@3f)?  @Zf3f 4 fA2  I  .3  SubtitleofSlide  /+' 5F/lcqd9 Z 6Times New Roman Regularc        @  Q Qcqd9 Z 6Times New Roman Regularc        @3f  SubtitleofSlide+'"ߌ /^  /< Name >< Title >       ! $  f 3f 3f $ $  ! qd9 Z 6 6Times New Roman Regular   &M &M $  ! qd9 Z 6 6Times New Roman Regular   &M &M $ $ $ $  ! qd9 Z 6 6Times New Roman Regular   &M &M $  ! qd9 Z 6 6Times New Roman Regular   &M &M $ $ $  ! qd9 Z 6 6Times New Roman Regular   &M &M $  ! qd9 Z 6 6Times New Roman Regular   &M &M $ $ $  ! qd9 Z 6 6Times New Roman Regular   &M &M $  ! qd9 Z 6 6Times New Roman Regular   &M &M $ $ $  ! qd9 Z 6 6Times New Roman Regular   &M &M $  ! qd9 Z 6 6Times New Roman Regular   &M &M $ $ $ $  ! qd9 Z 6 6Times New Roman Regular   &M &M $  ! qd9 Z 6 6Times New Roman Regular   &M &M $ $ $  ! qd9 Z 6 6Times New Roman Regular   &M &M $  ! qd9 Z 6 6Times New Roman Regular   &M &M $ $ $  ! qd9 Z 6 6Times New Roman Regular   &M &M $  ! qd9 Z 6 6Times New Roman Regular   &M &M $ $ $  ! qd9 Z 6 6Times New Roman Regular   &M &M $  ! qd9 Z 6 6Times New Roman Regular   &M &M $                                        S ߌ /-% "" Z#Z#   "Z# !>   "Z#> Z#  #)> )  $Z# Z#  % ) -+%1f33f `& 'Ly,Ly, ' 1\ `'&,,> y, y,L 'L1 `(&&> ,> y, ' 'L1f `) L&L& 1\ `*q C&C&> & &L L1 `+q q > C&> & L1f `,;LL ; 1\ `- >  L;L1 `.  > >  ; ;L1f `/ & & 1\ `0q C& C&&& 1 `1q q C&&  -+%13 2 >  3"> "  4>   5" "  6  -+%1f33f `7LALA  1\ `8ss> A ALL1 `9> s> A  L1f `:k LL k 1\ `;9   >  Lk L1 `<9 9 > >  k k L1f `=Lq Lq  1\ `>  > q q LL1 `?> > q  L1f `@k  k 1\ `A9   k 1 `B9 9  k k 1f `Cuutt1\ `Dutu1 `EuttWPCiEXX81%R0"3'XXXXKKKK ?"""333DDDUUUfffwwwMf33MMffM&f3@MYfs3Mf̙ٳMMff3Mf&M3f@MYfs3MfMf33MMffM&f3@MYfs3MfMMff3Mf&M3f@MYfs3MfMf33MMff&M3f@MYfs3Mf̙ٳMMff3MfM&f3@MYfs3MfpJ&T0Z4`8f<k@pEzJ̉]٘p槂Ħϰֿfffffffffrffffrffffff9R"]20R/#R/#Wqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MM)?  @Zf3f 4 f>2  I  .3  TitleofSlide  ]R/#+%M13M Y1 / #ac&d9 Z6Times New Roman Regularc        @  Q Qc&d9 Z6Times New Roman Regularc     M   @M TitleofSlide+%1f33f `Zq//q1\ `[R////q1 `\RR//qq+13"_=//W`qd9 Z 6Times New Roman Regular -@3fW`qd9 Z 6Times New Roman Regular -@3fW`qd9 Z 6Times New Roman Regular -@3fW`qd9 Z 6Times New Roman Regular -@3fW`qd9 Z 6Times New Roman Regular -@3fW`qd9 Z 6Times New Roman Regular -@3f)?  @Zf3f 4 fA2  I  .3  SubtitleofSlide  _/+%133f ^5F/ac&d9 Z6Times New Roman Regularc        @  Q Qc&d9 Z6Times New Roman Regularc        @3fSubtitleofSlide+%13 1R/`R/`#?Y@4@#?Y@4@#?@?cc 1f3f 1f3f   22226ffffffֿp= ף(\?TQ ! 1  ! 1  ! 1s  ! 1   ! 1  ! 1  ! 1?  ! 1  ! 1   ! 1    ! 1    ! 1    ! 1    ! 1   ! 1  ! 1  ! 1  ! 1  ! 1?  ! 1  ! 1  ! 1  ! 1  ! 1  43f>w JU`l"w(-33fW ` ` &d9 Z6Times New Roman Regular +  1f3fW &d9 Z6Times New Roman Regular +  1f3f#^.7`]W ee&d9 Z6Times New Roman Regular +  1W ee&d9 Z6Times New Roman Regular +  1W ee&d9 Z6Times New Roman Regular +  1W ee&d9 Z6Times New Roman Regular +  1C , \AZ"Arial Regular +  1f3fC , \AZ"Arial Regular +  1C , \AZ"Arial Regular +  1C ee, \AZ"Arial Regular +   1  C , \AZ"Arial Regular +   1  C , \AZ"Arial Regular + &M&M   1 f3f C , \AZ"Arial Regular +    1  C , \AZ"Arial Regular - @   3 @  ; // ?Title of ChartSubtitleLegendd yE@1st Qtr2nd Qtr3rd Qtr4th QtrNorth# Z2AU@South# 2(-F@East# (@West# - o 1R/`.%'1f33f V TT W //  XT / F)+13 YTN Z/Z ZT / [T / \T %/%) ]  ^u  _ 2' ) `D. R  aR R  b,; ;  c ; 8 d*x x  ex u % r / T-A%1sf3 fJ/  AJ13 g / J/ J 13 hJAA 1sf3 i/  13 j/ / 13 k}1sf3 l#/ $ $#13 me/ #/ #e13 n#$: e1sf3 o,/ T- T-,913 p!(/ ,/ ,9!(913 q,9T-(!(9 $ B l +1MM3 sl u uL13 tB l l B 1ss3 uuL LB 1MM3 v\l 1 1\13 wl \l \1ss3 x\11MM3 y"l " ""D13 zl "l "DD1ss3 {"D"D1MM3 |*l + +*13 }w&l *l *w&1ss3 ~*+L'w& $  *<1r:3   I  1s3    1W3  I m I 1r:3     1s3 T   T 1W3   ) T 1r:3 o D! D!<o 1s3  o o 1W3 o D!<<1r:3 +) * * +)B 1s3 $ +) +)B $B 1W3 +)B * % $B  $ V( 1MM3 L !G ! L 2 13 L L 2 2 1ss3 L 2 ! 2 1MM3 G   13   1ss3     1MM3 G -  13 g g 1ss3  - <- g 1MM3 'V(G V( '13 ##''##1ss3 'V( # ##%13   .13  }X O, \AZ"Arial RegularO        @  1stQtr.13 oo.13 }DO, \AZ"Arial RegularO        @  2ndQtr.13 ++.13 u}O, \AZ"Arial RegularO        @  3rdQtr.13 $$.13 9#}&O, \AZ"Arial RegularO        @  4thQtr.13 T.13 `$ O, \AZ"Arial RegularO        @  0.13 TN N .13 # ` O, \AZ"Arial RegularO        @  20.13 T  .13 #E `VO, \AZ"Arial RegularO        @  40.13 T.13 #`O, \AZ"Arial RegularO        @  60.13 T.13 #w`O, \AZ"Arial RegularO        @  80.13 T.13 `!O, \AZ"Arial RegularO        @  100 (  '9.+%1   9' 9' .+%1 lGO, \AZ"Arial RegularO        @  North.+%1 NN99.+%1 O, \AZ"Arial RegularO        @  South.+%1s 99.+%1 D O, \AZ"Arial RegularO        @  East.+%1 &"&"9k#9k#.+%1 $'O, \AZ"Arial RegularO        @  WestWPC[XX81%0"3'XXXXKKKK ?"""333DDDUUUfffwwwMf33MMffM&f3@MYfs3Mf̙ٳMMff3Mf&M3f@MYfs3MfMf33MMffM&f3@MYfs3MfMMff3Mf&M3f@MYfs3MfMf33MMff&M3f@MYfs3Mf̙ٳMMff3MfM&f3@MYfs3MfpJ&T0Z4`8f<k@pEzJ̉]٘p槂Ħϰֿfffffffffrffffrffffff9&"20R/#R/#Wqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MMWqd9 Z 6Times New Roman Regular +MM)?  @Zf3f 4 f>2  I  .3  TitleofSlide  R/#+%M13M 1 / #ac&d9 Z6Times New Roman Regularc        @  Q Qc&d9 Z6Times New Roman Regularc     M   @M TitleofSlide+%1f33f `q//q1\ `R////q1 `RR//qq+13"=//W`qd9 Z 6Times New Roman Regular -@3fW`qd9 Z 6Times New Roman Regular -@3fW`qd9 Z 6Times New Roman Regular -@3fW`qd9 Z 6Times New Roman Regular -@3fW`qd9 Z 6Times New Roman Regular -@3fW`qd9 Z 6Times New Roman Regular -@3f)?  @Zf3f 4 fA2  I  .3  SubtitleofSlide  /+%133f 5F/ac&d9 Z6Times New Roman Regularc        @  Q Qc&d9 Z6Times New Roman Regularc        @3fSubtitleofSlide+%13"` ` W qd9 Z6Times New Roman Regular -@3fW qd9 Z6Times New Roman Regular +3fW RRqd9 Z6Times New Roman Regular +3fW RRqd9 Z6Times New Roman Regular +3fW RRqd9 Z6Times New Roman Regular +3fW RRqd9 Z6Times New Roman Regular +3f9/!!!!!!  M 4 @ @ @ @ @ @ f" ddddddX2  I  .3  FirstItem2  A  .3  Subitem2  I  .3  SecondItem2  A  .3  Subitem2  I  .3  ThirdItem2  I  .3  FourthItem  ` +1 n 3c&d9 Z6Times New Roman RegularcRRR        @  a /!!!!!!ac&d9 Z6Times New Roman Regularc        @  /c&d9 Z6Times New Roman Regularc        @3f0..FirstItemc&d9 Z6Times New Roman Regularc        @3f..        @c&d9 Z6Times New Roman Regularc        @3f06..Subitemfc&d9 Z6Times New Roman Regularc        @/c&d9 Z6Times New Roman Regularc        @3f0..SecondItemc&d9 Z6Times New Roman Regularc        @3f..        @c&d9 Z6Times New Roman Regularc        @3f06..Subitemfc&d9 Z6Times New Roman Regularc        @/c&d9 Z6Times New Roman Regularc        @3f0..ThirdItemfc&d9 Z6Times New Roman Regularc        @/c&d9 Z6Times New Roman Regularc        @3f0..FourthItem+1"Ƈ^/^/#?Y@4@#?Y@4@#?@?cc 1f3f 1f3f   22226ffffffֿp= ף(\?TQ ! 1  ! 1  ! 1s  ! 1   ! 1  ! 1s  ! 1s  ! 1k@  ! 1   ! 1    ! 1    ! 1    ! 1    ! 1   ! 1  ! 1  ! 1  ! 1  ! 1?  ! 1  ! 1  ! 1  ! 1  ! 1  43f>w JU`l"w(-33fW ` ` &d9 Z6Times New Roman Regular +  1f3fW &d9 Z6Times New Roman Regular +  1f3fW ee&d9 Z6Times New Roman Regular +  1W ee&d9 Z6Times New Roman Regular +  1W ee&d9 Z6Times New Roman Regular +  1W ee&d9 Z6Times New Roman Regular +  1C , \AZ"Arial Regular +  1f3fC , \AZ"Arial Regular +  1C , \AZ"Arial Regular +  1C ee, \AZ"Arial Regular +   1  C , \AZ"Arial Regular +   1  C , \AZ"Arial Regular + &M&M   1 f3f C , \AZ"Arial Regular +    1  C , \AZ"Arial Regular - @   3 @   // ?Title of ChartSubtitleLegendd 2@1st Qtr2nd Qtr3rd Qtr4th QtrNorth# Z2AU@South# 2(-F@East# (@West# - o Ƈ^/.%'1f33f "G " n  "G "//G   "G /G b- +13  "h/h  "/  +"/  M"/) \# %G  & ?)G   * ,G ) K/ !  ! !M . K!  K! K! .h h   h  % ̒" .%1sf3 $ $ $$e13 " $ $e"e13 ’$e$>#"e1sf3 Ò' A( A(r'"13 ĒD& ' '"D&"13 Œ'"A(r&rD&"1sf3 ƒG+ + + G+13 ǒ) G+ G+)13 ȒG++ ) )1sf3 ɒ. . .,.13 ʒ, . .,13 ˒..,D-,, $ ْI"0 M.1MM3 ͒#0 G$ G$#13 ΒI"0 #0 #I"1ss3 ϒ#G$"I"1MM3 ВL'0 ' 'L'r13 ђ%0 L'0 L'r%r1ss3 ҒL'r'%%r1MM3 Ӓ*0 * *J*13 Ԓ(0 *0 *(1ss3 Ւ**JJ)J(1MM3 ֒-0 M. M.-13 גO,0 -0 -O,1ss3 ؒ-M.,O, $ 撦! -"1r:3 ڒR# # # R#9 1s3 ے! R# R#9 !9 1W3 ܒR#9 # ! !9 1r:3 ݒ& & && 1s3 ޒ$ & & $ 1W3 ߒ& &O%$ 1r:3 * R* R*"*1s3 U( * *U(1W3 *R*"("U(1r:3 X- - - X- 1s3 + X- X- + 1W3 X- - + +  $ ! - 1MM3 " #@ #P " 13 ! " " ! 1ss3 " #P U!P ! 1MM3 & X&@ X&a & 13 [$ & & [$ 1ss3 & X&a $a [$ 1MM3 ^) )@ )r ^)" 13 ' ^) ^)" '" 1ss3 ^)" )r (r '" 1MM3 , -@ - ,13  + , , +1ss3 ,- [+  +%13 ! !, .13 # >#O, \AZ"Arial RegularO        @  1stQtr.13 % %, .13 S#&O, \AZ"Arial RegularO        @  2ndQtr.13 _( _(, .13 &)O, \AZ"Arial RegularO        @  3rdQtr.13 + +, .13 !*L-O, \AZ"Arial RegularO        @  4thQtr.13  i .13 }, 4 O, \AZ"Arial RegularO        @  0.13  i .13 M U O, \AZ"Arial RegularO        @  20.13  i .13 n vO, \AZ"Arial RegularO        @  40.13  +i+.13 O, \AZ"Arial RegularO        @  60.13  MiM.13 O, \AZ"Arial RegularO        @  80.13  nin.13 ^O, \AZ"Arial RegularO        @  100 (  ,n.+%1  6 n!n!6.+%1  *#6%>O, \AZ"Arial RegularO        @  North.+%1  t'6t'n(n(6.+%1  )6,>O, \AZ"Arial RegularO        @  South.+%1s    !!.+%1  *#%O, \AZ"Arial RegularO        @  East.+%1 t't'((.+%1 ),O, \AZ"Arial RegularO        @  West$&7I[n):K\m~(9J[l}66E E                            ^5+ "v ;<C*"e1/n ߎ8s3Yrt{T *'+H2S )=@KRUbQ]ZqOu|#"UVWv|<R%2)Z0;?pCGJk RP$pv| Q|[(X]~[_WY'M+S2NCF_JNF"p-t_{_ 1=ڵzTYJf/< M K! .68E!YM _W^LWPC3XX81%XX81%*3'XXXXKKKK9"%2Ry/#Ry/#W &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MM)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   %Ry/#%M'13M !/#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc BuildingaBridgeBetweenPolicyandPractice:.+%1f33f `"q//q1\ `#Rz/z///q1 `$RzR//qqWPCXX81%XX81%3'XXXXKKKK9 j"=//W @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   /-.)*+%'1533f e5F/c&d9 Z6Times New Roman Regularc@@@        @3f  Q Qc&d9 Z6Times New Roman Regularc@@@ MathematicsTeacherEducationFromanInternationalPerspectiveWPCXX81%XX81%33'XXXXKKKK9".2R/#R/#W &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MM)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   .R/#%M'13M *o /#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc PresentationOverview.+%1f33f `+q / / q 1\ `,R//< / / q 1 `-RR< /< / q q WPCt XX81%XX81%33'XXXXKKKK9"2&Us.Us.W xx&d9 Z6Times New Roman Regular +@W xx&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9/!!!!!!  Zf3f 4  @ @ @ @ @ f" ePAddd$   2Us..%153 1 s."c&d9 Z6Times New Roman Regularc        a /!!!!!!ac&d9 Z6Times New Roman Regularcxxx        @@c&d9 Z6Times New Roman Regularc          /  c&d9 Z6Times New Roman Regularcxxx        @@0M..c&d9 Z6Times New Roman RegularcxxxSummer2001:IssuesinMathematicsEducationfc&d9 Z6Times New Roman Regularc          /  c&d9 Z6Times New Roman Regularcxxx        @@0M..Summer2002:TeacherEducationandProfessionalDevelopmentc&d9 Z6Times New Roman Regularcxxx        @3fM..Mc&d9 Z6Times New Roman Regularc```        @   ! c&d9 Z6Times New Roman Regularcxxx        @3f0..c&d9 Z6Times New Roman Regularc        @3fCommonthemesandchallengesc&d9 Z6Times New Roman Regularcxxx        @3fM..Mc&d9 Z6Times New Roman Regularc```        @   ! c&d9 Z6Times New Roman Regularcxxx        @3f0..c&d9 Z6Times New Roman Regularc        @3fSamplesfromtheSeminarc&d9 Z6Times New Roman Regularcxxx        @3ffc&d9 Z6Times New Roman Regularcxxx        @@c&d9 Z6Times New Roman Regularc          /  c&d9 Z6Times New Roman Regularcxxx        @@0M..c&d9 Z6Times New Roman RegularcxxxAdviceonhowtobestpackageandsharetheexperiencewithUSteachereducatorsc&d9 Z6Times New Roman Regularcxxx        @3fM..Mc&d9 Z6Times New Roman Regularc```        @   ! c&d9 Z6Times New Roman Regularcxxx        @3f0..c&d9 Z6Times New Roman Regularc        @3fWhatwouldbeusefultoyou?c&d9 Z6Times New Roman Regularcxxx        @3fWPC:XX81%XX81%<3'XXXXKKKK9"72XRy/#Ry/#W &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MM)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   7Ry/#%M'13M 3/# c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc ParkCityMathematicsInstituteInternationalSeminar.+%1f33f `4q//q1\ `5Rz/z///q1 `6RzR//qqWPC("XX81%XX81%<3'XXXXKKKK9";[bX/X/W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW xx&d9 Z6Times New Roman Regular +3fW xx&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   ;X/+153 :.c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..PCMI:A"verticallyintegrated"summerexperienceformathematicians,teachers,graduateandundergraduatestudentsfc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..InternationalSeminarlaunchedsummer2001c&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman Regularc        @3fSupportedthroughfundsprovidedtotheInstituteforAdvancedStudybytheWolfensohnFoundationandBristolMeyerSquibb        @3ffc&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..Topics:c&d9 Z6Times New Roman RegularcNationalstandards,teachereducation,content,traditionvs.reform,depthandbreadth,excellence&accessibility,matheducationasaprofessionc&d9 Z6Times New Roman Regularcfc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..Representativesfrom8countriesc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fc&d9 Z6Times New Roman RegularcBrazil,Egypt,France,Japan,India,Sweden,Kenya,USAc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman Regularc        @3fOnepolicymaker,oneclassroomteacher--not"officialrepresentatives"--storiesfrompractitioners        @3fWPC/XX81%XX81%*3'XXXXKKKK9"%2Ry/#Ry/#W &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MM)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   %Ry/#%M'13M !/#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Summer2001:BridgingPolicyandPractice.+%1f33f `"q//q1\ `#Rz/z///q1 `$RzR//qqWPC XX81%XX81%*3'XXXXKKKK9")&~/~/W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   )~/.%153 (4?/[c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxRoleandinfluenceofnationalstandardsc&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman RegularcNomatterwhat,teachershaveconsiderableautonomyM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman RegularcCountrieswithnationalstandardslookalotlikethosewithoutthem,andviceversafc&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxWidecommitmentto"standards-basedideas"c&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman RegularcEpisodewithnewspaperreporter;"it'stheotherwayaround8.."M..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman Regularc"traditionalvs.reform"mathematicseducationfc&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxVariationincommitmentto"educationforall"(massification)hasimplicationsfordemandsonthesystem(includingtheteachereducationcurriculum)WPCXX81%XX81%W3'XXXXKKKK9"R2XRy/# Ry/#  RRy/#%M'13M N/#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Summer2002:TeacherEducationandProfessionalDevelopment.+%1f33f `Oq//q1\ `PRz/z///q1 `QRzR//qqWPCXX81%XX81%W3'XXXXKKKK9"V&E0E0W xx&d9 Z6Times New Roman Regular +@W xx&d9 Z6Times New Roman Regular +3fW xx&d9 Z6Times New Roman Regular +3fW xx&d9 Z6Times New Roman Regular +3fW xx&d9 Z6Times New Roman Regular +3fW xx&d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   VE0+153 U/@ c&d9 Z6Times New Roman Regularcxxx        a `!!!!!!ac&d9 Z6Times New Roman Regularcxxx        @@          `  c&d9 Z6Times New Roman Regularcxxx        @@0..Askedparticipantstobringanexampleofa"promisingpractice"toillustratehowourcountrieseachapproachteachereducation.c&d9 Z6Times New Roman Regularcxxx        @3f..c&d9 Z6Times New Roman Regularc```        @   ! c&d9 Z6Times New Roman Regularcxxx        @3f0..c&d9 Z6Times New Roman RegularcParticipatingcountrieswereBrazil,Egypt,France,Japan,India,Sweden,Kenya,USA..fc&d9 Z6Times New Roman Regularcxxx        @@          `  c&d9 Z6Times New Roman Regularcxxx        @@0..Weaskedthemtowatchandlistenfortwokindsofthings:c&d9 Z6Times New Roman Regularcxxx        @3f..c&d9 Z6Times New Roman Regularc```        @   ! c&d9 Z6Times New Roman Regularcxxx        @3f0..c&d9 Z6Times New Roman Regularc        @3fcommonprinciplesaboutanduniqueapproachestoteachereducationc&d9 Z6Times New Roman Regularcxxx        @3f..c&d9 Z6Times New Roman Regularc```        @   ! c&d9 Z6Times New Roman Regularcxxx        @3f0..c&d9 Z6Times New Roman Regularc        @3fcommonresearchareasandissuesthatmayhelpusdesignaninternationalagendaordevelopsomematerialsthatwouldbeusefulacrosscountries.c&d9 Z6Times New Roman Regularcxxx        @3fWPCXX81%XX81%*3'XXXXKKKK9"%2)R/# R/#  %R/#%M'153M ! /#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc CommonThemesandChallenges.+%1f33f `"q / // q/ 1\ `#R//N // / q 1 `$RRN /N // q/ q WPCqXX81%XX81%*3'XXXXKKKK9")&E0$E0$W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   )E0$+153 (/c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0..Coordinatingstakeholdersandbuildinginfrastructurefc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0..Balancingpedagogy,content,andtheintersectionfc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0..Financialconstraintsfc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0..Disconnectbetweenpreserviceeducationandteachingpracticefc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0..Gettingestablishedteacherstorevisetheirpracticefc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0..Concernsaboutsupportfornewteachersfc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0..Culturalconsiderationsinfluencepossibilitiesforchangefc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0..Developingacohesivemathematicseducationcommunityfc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0..LackofcoherenceinprofessionaldevelopmententerpriseWPCXX81%XX81%33'XXXXKKKK9".2(R/# R/#  .R/#%M'13M * /#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc ProfessionalDevelopment(PD).+%1f33f `+q / // q/ 1\ `,R//N // / q 1 `-RRN /N // q/ q WPCWXX81%XX81%33'XXXXKKKK9"0=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   0/.+%1 /5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx ExamplesfromThreeNationsWPCXX81%XX81%33'XXXXKKKK9"2&-/Z-/ZW xx&d9 Z6Times New Roman Regular +@W xx&d9 Z6Times New Roman Regular +3fW xx&d9 Z6Times New Roman Regular +3fW xx&d9 Z6Times New Roman Regular +3fW xx&d9 Z6Times New Roman Regular +3fW xx&d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   2-/Z.%153 1.& c&d9 Z6Times New Roman Regularcxxx        a `!!!!!!ac&d9 Z6Times New Roman Regularcxxx        @@          `  c&d9 Z6Times New Roman Regularcxxx        @@0..Brazil:school-based,teacher-drivenprofessionaldevelopmentfc&d9 Z6Times New Roman Regularcxxx          `  c&d9 Z6Times New Roman Regularcxxx        @@0..Sweden:centralized,plannedteachereducationprogramfc&d9 Z6Times New Roman Regularcxxx          `  c&d9 Z6Times New Roman Regularcxxx        @@0..Japan:school-based,collaborativelessonstudyWPCXX81%XX81%<3'XXXXKKKK9"72(R/# R/#  7R/#%M'13M 3 /#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Brazil:school-based,teacher-drivenPD.+%1f33f `4q / // q/ 1\ `5R//N // / q 1 `6RRN /N // q/ q WPCrXX81%XX81%<3'XXXXKKKK9";&u./"u./"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   ;u./".%153 :+.:/c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..Thegroup'sroleistostudyroutinesthathavepromotedthefailureofmathematicsteachinginclassrooms.fc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..Theyapproach practiceasanobjectofstudy.fc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..Themembersofthegroupincludeundergraduatesinmathandpedagogy(prospectiveteachers),graduatestudents,andpublicandprivateschoolteachers.fc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..PDfocusesonpromotingthedevelopmentofsocialresponsibilitythroughmathematicseducation.c&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc           @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman Regularcencouragesaperspectiveonmathematicsteachingwhichpositsmathematicalthinkingasaninstrumentthatcanbeusedtointerpretrealityinacriticalway.WPCXX81%XX81%{3'XXXXKKKK9"v2XRy/# Ry/#  vRy/#%M'13M r/#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Brazil:school-based,teacher-drivenPD(cont.).+%1f33f `sq//q1\ `tRz/z///q1 `uRzR//qqWPCRXX81%XX81%<3'XXXXKKKK9"9=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   9/.+%1 85F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx TheApproachandFocusWPC(XX81%XX81%{3'XXXXKKKK9"z&u /"u /"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   zu /"+153 y+ :/c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxEnvironmentalmathematicsisatopicusedtopromotesocialresponsibility.fc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxContentexploredintheelementaryschoolincludes:c&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fDeforestation(theconceptofgreenspaces)c&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fTrashproduction(geometry)c&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fBiologicaldiversity(statistics)        @3fWPCXX81%XX81%N3'XXXXKKKK9"I2Ry/# Ry/#  IRy/#%M'13M E/#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Brazil:school-based,teacher-drivenPD(cont.).+%1f33f `Fq//q1\ `GRz/z///q1 `HRzR//qqWPCFXX81%XX81%N3'XXXXKKKK9"K=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   K/.+%1 J5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx ChallengesWPCQ XX81%XX81%N3'XXXXKKKK9"M&u/"u/"W xx&d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   Mu/".%153 L+:/c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularcxxx        @@          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..Thereareconflictsbecauseuniversitypeoplefeelthattheyaretheonlyoneswhoshoulddoteacherdevelopment--althoughthesegroupshadschool-basedcoordinators.WPCXX81%XX81%E3'XXXXKKKK9"@2XRy/# Ry/#  @Ry/#%M'13M </# c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Sweden:centralized,plannedteachereducationprogram.+%1f33f `=q//q1\ `>Rz/z///q1 `?RzR//qqWPCXX81%XX81%E3'XXXXKKKK9"D&u /"u /"W xx&d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   Du /"+153 C+ :/ c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularcxxx        @@          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..Oneintegratedprogramforallteachers,frompre-schooltouppersecondarylevelfc&d9 Z6Times New Roman Regularcxxx          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..Differentoptionswithintheprogramfc&d9 Z6Times New Roman Regularcxxx          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..Greatflexibility,studentscanmakesuccessivechoicesfc&d9 Z6Times New Roman Regularcxxx          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..Eachuniversitydesignstheprogramwithinthecommonframe--therearebigdifferencesbetweenuniversitiesWPCXX81%XX81%N3'XXXXKKKK9"I2Ry/# Ry/#  IRy/#%M'13M E/#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Sweden:centralized,plannedteachereducationprogram(cont.).+%1f33f `Fq//q1\ `GRz/z///q1 `HRzR//qqWPC`XX81%XX81%N3'XXXXKKKK9"K=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   K/.+%1 J5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx ElementsoftheProgram(since2001)WPCXXX81%XX81%N3'XXXXKKKK9"M&u/"u/"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   Mu/".%153 L+:/c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxThreemainparts:c&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman RegularcOnecommoncourseforallstudentsM..MM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..Oneortwoorientations(theprofileoftheteacher),eachorientationisminimum1studyyear,40creditsM..MM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..Oneormorespecializationsgivingdepthorbreadth,eachspecializationamountsto20creditsofstudyWPCXX81%XX81%W3'XXXXKKKK9"R2XRy/# Ry/#  RRy/#%M'13M N/#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Sweden:centralized,plannedteachereducationprogram(cont.).+%1f33f `Oq//q1\ `PRz/z///q1 `QRzR//qqWPCXX81%XX81%W3'XXXXKKKK9"T=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   T/.+%1 S5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx Commoncourseforallteacherstudents,generalteacherstudiesinvolves:WPCXX81%XX81%W3'XXXXKKKK9"V&uy/"uy/"W xx&d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   Vuy/".%153 U+y:/nc&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularcxxx        @@          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..1.5studyyears,60creditsfc&d9 Z6Times New Roman Regularcxxx          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..Generaleducation,psychology,etc.fc&d9 Z6Times New Roman Regularcxxx          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..Schoolpractice,10creditsfc&d9 Z6Times New Roman Regularcxxx          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..Interdisciplinarysubjectstudiesfc&d9 Z6Times New Roman Regularcxxx          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..Degreeproject,10credits,(mayalsobecontainedinoneofthespecializations,part3)fc&d9 Z6Times New Roman Regularcxxx          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..ThecoursemaybesplitupintopartsandinterwovenintotherestoftheeducationWPCXX81%XX81%`3'XXXXKKKK9"[2XRy/# Ry/#  [Ry/#%M'13M W/#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Sweden:centralized,plannedteachereducationprogram(cont.).+%1f33f `Xq//q1\ `YRz/z///q1 `ZRzR//qqWPCXX81%XX81%`3'XXXXKKKK9"]=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   ]/.+%1 \5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx Orientationtowardsasubjectorafieldofsubjectsorcompetenciesinvolves:WPC"XX81%XX81%`3'XXXXKKKK9"_&u/"u/"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   _u/".%153 ^+:/c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxMinimumoneyear,40creditsincluding10creditsofschoolpracticefc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxExamplesoforientationsincludingmathematics(source:Lule#UniversityofTechnology):c&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fMathematicsforyoungerchildren(year1-5),40creditsc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fMathematicsforolderchildren(year6-9),40creditsc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fMathematicsforuppersecondaryschool,60creditsc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fMathematics&computerscience,80creditsc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fMathematics&physicsorMathematics&chemistry,100/120credits        @3fWPCXX81%XX81%r3'XXXXKKKK9"m2Ry/# Ry/#  mRy/#%M'13M i/#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Sweden:centralized,plannedteachereducationprogram(cont.).+%1f33f `jq//q1\ `kRz/z///q1 `lRzR//qqWPCTXX81%XX81%r3'XXXXKKKK9"o=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   o/.+%1 n5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx Specializationsinvolve:WPCUXX81%XX81%r3'XXXXKKKK9"q&u/"u/"W xx&d9 Z6Times New Roman Regular +@W xx&d9 Z6Times New Roman Regular +3fW xx&d9 Z6Times New Roman Regular +3fW xx&d9 Z6Times New Roman Regular +3fW xx&d9 Z6Times New Roman Regular +3fW xx&d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   qu/".%153 p+:/ c&d9 Z6Times New Roman Regularcxxx        a `!!!!!!ac&d9 Z6Times New Roman Regularcxxx        @@          `  c&d9 Z6Times New Roman Regularcxxx        @@0..Onesemesterofstudy,20creditsfc&d9 Z6Times New Roman Regularcxxx          `  c&d9 Z6Times New Roman Regularcxxx        @@0..Itmayeitherdeepenoneoftheorientations(mostoftenonesubjectarea)oritcouldbeanewsubjectareaorsomecompetency(likemathematicsforchildrenwithspecialneeds)fc&d9 Z6Times New Roman Regularcxxx          `  c&d9 Z6Times New Roman Regularcxxx        @@0..TheremayormaynotbeadidacticalperspectiveintegratedintothespecializationWPCXX81%XX81%i3'XXXXKKKK9"d2Ry/# Ry/#  dRy/#%M'13M `/#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Sweden:centralized,plannedteachereducationprogram(cont.).+%1f33f `aq//q1\ `bRz/z///q1 `cRzR//qqWPCtXX81%XX81%i3'XXXXKKKK9"f=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   f/.+%1 e5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx TheProfessionalDevelopment(PD)ofPracticingTeachersWPCzXX81%XX81%i3'XXXXKKKK9"h&u#/"u#/"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   hu#/".%153 g+#:/c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxTherearetwosourcesofPDservicesc&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..Private(trainingpaidforbyteacher,researchsociety,orotherprivatesource)M..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..Public(trainingpaidforbythegovernment)fc&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxTherearethreetypesofpublictraining:c&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..NewteachertrainingM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..Experiencedteachertraining(firstoccurrenceafter5years&againafter10years)M..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..Dispatchedtraining(masterscourses)--Notdiscussedinthispresentation.WPCXX81%XX81%r3'XXXXKKKK9"m2Ry/# Ry/#  mRy/#%M'13M i/#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Sweden:centralized,plannedteachereducationprogram(cont.).+%1f33f `jq//q1\ `kRz/z///q1 `lRzR//qqWPCPXX81%XX81%r3'XXXXKKKK9"o=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   o/.+%1 n5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx NewTeacherTrainingWPCXX81%XX81%r3'XXXXKKKK9"q&E0E0W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   qE0.%153 p/bQc&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..Occurs90timesinayear.60timesatschool,30timesoutofschool(atboardofeducationfacilities).fc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..Trainingsessionsvaryinlength.Someareanhourlong,somearedayslong.fc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..Everynewteacherhasamentoramonghisorhercolleagues.fc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..Theleadteacherinchargeofagroupofnewteachersgivesthemindividualguidance.fc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..Thereisalsoextensivetrainingwherenewteachersattendlecturesonvarioustopics.fc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..Lessonstudyisconductedaswell,andteachersalsogetadditionaltraininginclassroommanagement.WPCXX81%XX81%{3'XXXXKKKK9"v2Ry/# Ry/#  vRy/#%M'13M r/#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Sweden:centralized,plannedteachereducationprogram(cont.).+%1f33f `sq//q1\ `tRz/z///q1 `uRzR//qqWPCXXX81%XX81%{3'XXXXKKKK9"x=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   x/.+%1 w5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx ExperiencedTeacherTrainingWPC9XX81%XX81%{3'XXXXKKKK9"z&u /"u /"W xx&d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   zu /".%153 y+ :/ c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularcxxx        @@          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..Occurs5-6timesduringthe6thand11thyearofteaching.fc&d9 Z6Times New Roman Regularcxxx          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..Trainingoccursingroupsandisdevotedtothemessuchasclassroommanagement,studentguidance,andaddressingspecificproblems(suchasbullying).fc&d9 Z6Times New Roman Regularcxxx          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..After15yearstrainingoccurs3-5timesintheyear.WPCXX81%XX81%*3'XXXXKKKK9"%2Ry/# Ry/#  %Ry/#-)+%M'13M !/#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Japan:schoolbased,collaborativelessonstudy.+%1f33f `"q//q1\ `#Rz/z///q1 `$RzR//qqWPCXX81%XX81%<3'XXXXKKKK9"72Ry/# Ry/#  7Ry/#.)%M'13M 3/# c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Japan:schoolbased,collaborativelessonstudy(cont.).+%1f33f `4q//q1\ `5Rz/z///q1 `6RzR//qqWPCXX81%XX81%3'XXXXKKKK9"2Ry/# Ry/#  Ry/#%M'13M /# c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Japan:schoolbased,collaborativelessonstudy(cont.).+%1f33f `q//q1\ `Rz/z///q1 `RzR//qqWPCiXX81%XX81%*3'XXXXKKKK9"'=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   '/.+%1 &5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx CaseinPoint:YokohamaNationalUniversityWPCN$XX81%XX81%*3'XXXXKKKK9")&~/g~/gW &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   )~/g.%153 (4?/ c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxThispresentationisexcerptedfromthepresentationgivenbytheJapaneseatthePCMIseminarofSummer,2001.c&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..ThepresentationfocusedonteachingandwhatisimportantintheirworkatYokohamaNationalUniversity.fc&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxSources:c&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman Regularc        @3fTeacherTraininginJapaneseMathematicsEducation&TheFirst,Second,andThirdReportbytheEducationPersonnelTrainingCouncil(1997-1999)        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..Authors:c&d9 Z6Times New Roman RegularcLLL        @3fM..M..c&d9 Z6Times New Roman Regularc        @  ! - c&d9 Z6Times New Roman RegularcLLL        @3f0..c&d9 Z6Times New Roman Regularc        @3fToshikazuIkeda,YokohamaNationalUniversityc&d9 Z6Times New Roman RegularcLLL        @3fM..M..c&d9 Z6Times New Roman Regularc        @  ! - c&d9 Z6Times New Roman RegularcLLL        @3f0..c&d9 Z6Times New Roman Regularc        @3fYoshiakiKuwahara,ShinmeiJuniorHighSchoolc&d9 Z6Times New Roman RegularcLLL        @3fWPCXX81%XX81%3'XXXXKKKK9"&u /"u /"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   u /".%153 + :/c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxMathematicalpointsofviewc&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fTofosterstudents'abilitytothinkmathematicallyc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fToenablestudentstounderstandmathematicalconceptsandideasexistingbehindelementaryandsecondarymathematicsc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fTofosterstudents'abilitytorepresentmathematicallyc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fTofosterstudents'abilitytoutilizetechnology        @3fWPCXX81%XX81%33'XXXXKKKK9".2Ry/# Ry/#  .Ry/#%M'13M */# c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Japan:schoolbased,collaborativelessonstudy(cont.).+%1f33f `+q//q1\ `,Rz/z///q1 `-RzR//qqWPCzXX81%XX81%33'XXXXKKKK9"0=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   0/.+%1 /5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx AimsinmathematicseducationatYokohamaNationalUniversityWPCXX81%XX81%33'XXXXKKKK9"2&u/"u/"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   2u/".%153 1+:/c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxEducationalpointsofviewc&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fToenablestudentstounderstandtheobjectivesandcontentsofmathematicsc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fToenablestudentstounderstandteachingmethodsincludingtheassessmentofmathematicslearningc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fTofosterstudents'abilitytoconstructandanalyzeaclassroomteachingc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fTofosterstudents'abilitytoutilizethemathematicstextbook        @3fWPCXX81%XX81%3'XXXXKKKK9"2Ry/# Ry/#  Ry/#%M'13M /# c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Japan:schoolbased,collaborativelessonstudy(cont.).+%1f33f `q//q1\ `Rz/z///q1 `RzR//qqWPCzXX81%XX81%3'XXXXKKKK9"=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   /.+%1 5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx AimsinmathematicseducationatYokohamaNationalUniversityWPCYXX81%XX81%<3'XXXXKKKK9"9=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   9/.+%1 85F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx CaseinKanagawaPrefecture:WPCVXX81%XX81%<3'XXXXKKKK9";&u /"u /"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   ;u /".%153 :+ :/c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxTrainingProgramforElementarySchoolTeachersthatinvolves:c&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fAnintroductiontomathematicsforelementaryschoolteachers(CaseofYokohamaNationalUniversity)c&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fCollaborationonthedailyworkc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fLessonStudy        @3fWPC[XX81%XX81%3'XXXXKKKK9"=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   /.+%1 5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx CollaborationontheDailyworkWPC|XX81%XX81%3'XXXXKKKK9"&u /"u /"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   u /".%153 + :/c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxDailydiscussionintheTeachers'Roomregardingmathematicsteachingfocuseson:c&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman Regularc        @3fProgressofclassroomteachingc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fMethodsofAssessmentc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fTeachingMaterialsc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fExchangeofviews        @3fWPCXX81%XX81%3'XXXXKKKK9"2Ry/# Ry/#  Ry/#%M'13M /# c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Japan:schoolbased,collaborativelessonstudy(cont.).+%1f33f `q//q1\ `Rz/z///q1 `RzR//qqWPC]XX81%XX81%3'XXXXKKKK9"=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   /.+%1 5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx LessonStudyasTeacherTrainingWPCWXX81%XX81%3'XXXXKKKK9"&u/"u/"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   u/".%153 +:/c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxInPre-serviceeducationlessonstudyisused:c&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fasateachingtoolindemonstrationsofclassroomteachingc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fasaoneoftheexaminationstakentobecomeateacherc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fasoneofthetoolstoassessclassroomteaching        @3fWPCXX81%XX81%3'XXXXKKKK9"2Ry/# Ry/#  Ry/#%M'13M /# c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Japan:schoolbased,collaborativelessonstudy(cont.).+%1f33f `q//q1\ `Rz/z///q1 `RzR//qqWPCQXX81%XX81%3'XXXXKKKK9"=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   /.+%1 5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx GoalsofLessonStudyWPCXX81%XX81%3'XXXXKKKK9"&u /"u /"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   u /".%153 + :/ c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxTohelpteacherslearnto seestudentsandmaterialsfc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxTodeterminewhetherornottheteachercanidentifymathematicalessentialpointsofmaterialsfc&d9 Z6Times New Roman Regularc          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxToidentifyandcorrectteachingpracticesthatdepriveofstudentsofopportunitiestothinkmathematicallyWPCXX81%XX81%3'XXXXKKKK9"2Ry/# Ry/#  Ry/#%M'13M {/# c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Japan:schoolbased,collaborativelessonstudy(cont.).+%1f33f `|q//q1\ `}Rz/z///q1 `~RzR//qqWPC]XX81%XX81%3'XXXXKKKK9"=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   /.+%1 5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx GuidingQuestionsinLessonStudyWPCD"XX81%XX81%3'XXXXKKKK9"&ur/"ur/"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   ur/".%153 +r:/c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M.. c&d9 Z6Times New Roman RegularcxxxSeeingstudentsc&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman Regularcxxx        @3fCantheteacherunderstandwhatstudentsdoanddonotunderstand?c&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman Regularcxxx        @3fCanstudentsunderstandthequestionstheteacherisasking?c&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman Regularcxxx        @3fDoestheteacherignorestudents'ideasforselfishreasons?c&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman Regularcxxx        @3fCantheteacheracceptandevaluatestudents'ideasappropriately?c&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..c&d9 Z6Times New Roman Regularcxxx        @3fCanstudentsdiscusscooperatively?c&d9 Z6Times New Roman Regularc        @3fWPCXX81%XX81%3'XXXXKKKK9"2Ry/# Ry/#  Ry/#%M'13M /# c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Japan:schoolbased,collaborativelessonstudy(cont.).+%1f33f `q//q1\ `Rz/z///q1 `RzR//qqWPC]XX81%XX81%3'XXXXKKKK9"=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   /.+%1 5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx GuidingQuestionsinLessonStudyWPCXX81%XX81%3'XXXXKKKK9"&uo/"uo/"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   uo/".%153 +o:/ c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman Regularcxxx Seeingmaterialc&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fCantheteacheridentifyessentialmathematicalpoints?c&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fCantheteacherrecognizeandrespondtoawiderangeofmathematicalideas(e.g.Divisionwitharemainder"13/5=")?        @3fWPCXX81%XX81%3'XXXXKKKK9"2Ry/# Ry/#  Ry/#%M'13M /# c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Japan:schoolbased,collaborativelessonstudy(cont.).+%1f33f `q//q1\ `Rz/z///q1 `RzR//qqWPC]XX81%XX81%3'XXXXKKKK9"=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   /.+%1 5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx GuidingQuestionsinLessonStudyWPC/XX81%XX81%3'XXXXKKKK9"&u /"u /"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   u /".%153 + :/c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman Regularcxxx SeeingStudentsandMaterialsinrelationtoeachotherc&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fCantheteacherdevelopthematerialbyconsideringbothessentialmathematicalpointsandstudents'interest?c&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fCantheteacherassiststudents'cooperativediscussionsandsummarizetheessentialmathematicalideasderivedfromtheirdiscussions?c&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fCanstudentsbereasonablyexpectedtosolvetheirownproblemsbasedontheproblemthattheteacherintroduced?        @3fWPCXX81%XX81%3'XXXXKKKK9"2Ry/# Ry/#  Ry/#%M'13M /# c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Japan:schoolbased,collaborativelessonstudy(cont.).+%1f33f `q//q1\ `Rz/z///q1 `RzR//qqWPCxXX81%XX81%3'XXXXKKKK9"=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   /.+%1 5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx OutcomesofLessonStudyandCollaborationontheDailyworkWPCWXX81%XX81%3'XXXXKKKK9"&u^/"u^/"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   u^/".%153 +^:/ c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxThroughtheuseoflessonstudy,teachereducatorsandteachersdetermine:c&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fthequalityofteachingc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..        @3fthetrainingneedsofprospectiveandpracticingteachers        @3fWPCXX81%XX81%3'XXXXKKKK9"2Ry/# Ry/#  Ry/#%M'13M /# c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Japan:schoolbased,collaborativelessonstudy(cont.).+%1f33f `q//q1\ `Rz/z///q1 `RzR//qqWPCdXX81%XX81%3'XXXXKKKK9"=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   /.+%1 5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx ImprovingTeachingandTeacherEducationWPC-XX81%XX81%3'XXXXKKKK9"&uH/"uH/"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   uH/".%153 +H:/c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..c&d9 Z6Times New Roman RegularcxxxUsinginformationlearnedfromlessonstudyandfromcollaborationonthedailywork,educatorsalsoidentifyfutureissuestobediscussedinJapanc&d9 Z6Times New Roman Regularcc&d9 Z6Times New Roman Regularc        @3fM..Mc&d9 Z6Times New Roman Regularc        @    c&d9 Z6Times New Roman Regularc        @3f0..Itisnecessaryforteacherstodiscusstheissuesthatareusefulinafutureteaching.Namely,itisexpectedforteacherstodiscussissuessuchasthefollowing:M..Mc&d9 Z6Times New Roman RegularcLLL        @3fM..M..c&d9 Z6Times New Roman Regularc        @  ! - c&d9 Z6Times New Roman RegularcLLL        @3f0..c&d9 Z6Times New Roman RegularcԀStereotypicalclassroomteaching.c&d9 Z6Times New Roman Regularc        @3fM..M....        @  !  c&d9 Z6Times New Roman Regularc        @3f04..(ex.Understandaproblem-solvingindividually-Presentationbystudents-Negotiation)M..M....c&d9 Z6Times New Roman RegularcLLL        @3fM..M..c&d9 Z6Times New Roman Regularc        @  ! - c&d9 Z6Times New Roman RegularcLLL        @3f0..c&d9 Z6Times New Roman RegularcԀTheneedtoacceptstudents'ideasandevaluatethemflexibly.c&d9 Z6Times New Roman Regularc        @3fM..M....        @  !  c&d9 Z6Times New Roman Regularc        @3f04..Ifateachercouldn'tdoso,studentsmightnotcometolife.WPCXX81%XX81% 3'XXXXKKKK9"2*R/#R/#W &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MM)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   R/#%M'13M o /#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc Summerof2003.+%1f33f `q / / q 1\ `R//< / / q 1 `RR< /< / q q WPCXX81%XX81%3'XXXXKKKK9"2XRy/# Ry/#  Ry/#%M'13M /# c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc ParkCityMathematicsInstituteInternationalSeminar.+%1f33f `q//q1\ `Rz/z///q1 `RzR//qqWPCXX81%XX81%3'XXXXKKKK9"=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   /.+%1 5F/8],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx BuildingaBridgeBetweenPolicyandPractice:MathematicsTeacherEducationFromanInternationalPerspectiveWPCK XX81%XX81%3'XXXXKKKK9"&)N/)N/W xx&d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   )N/.%153 N.{c&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularcxxx        @@          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..Whileeachnationhasitsowntraditions,assets,andcontraints,manyoftheproblemsfacedinonenationarealsofacedinternationally.fc&d9 Z6Times New Roman Regularcxxx          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..ThroughdialoguewehaveopportunitiestodiscoverinnovativeapproachestoaddressingproblemsintheU.S.,aswellasopportunitiestoshareourowninnovativeapproachestosolvingproblemsfacedbyothers.WPCIXX81%XX81% 3'XXXXKKKK9"=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   /.+%1 5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx BasicAgendaWPC XX81%XX81% 3'XXXXKKKK9" &uJ /"uJ /"W xx&d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$    uJ /".%153 +J :/Cc&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularcxxx        @@          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..Continuedfocusonteacherpreparationanddevelopmentwithnewcountriesmideswithsomefrom2003.fc&d9 Z6Times New Roman Regularcxxx          `  c&d9 Z6Times New Roman Regularcxxx        @@0M..Thegoalistoproduceamanuscriptthattellsstoriesaboutprofessionaldevelopmentactivitiesineachofthecountriesinawaythatisusefulforothers.WPCXX81%XX81%3'XXXXKKKK9 j"=//W @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3fW @@&d9 Z6Times New Roman Regular +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   /-.)*+%'1533f e5F/!c&d9 Z6Times New Roman Regularc@@@        @3f  Q Qc&d9 Z6Times New Roman Regularc@@@ ParkCityMathematicsInstituteInternationalSeminaronPolicyandPracticeWPCXX81%XX81%*3'XXXXKKKK9")&l I0l I0W xx&d9 Z6Times New Roman Regular +@W xx&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9/!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   )l I0.%153 (l /c&d9 Z6Times New Roman Regularc          a /!!!!!!ac&d9 Z6Times New Roman Regularcxxx        @@          /  c&d9 Z6Times New Roman Regularcxxx        @@0M..GailBurrillf  c&d9 Z6Times New Roman Regularcxxx          /  c&d9 Z6Times New Roman Regularcxxx        @@0M..JoanFerrini-Mundyf  c&d9 Z6Times New Roman Regularcxxx          /  c&d9 Z6Times New Roman Regularcxxx        @@0M..JohnnyLott,inabsentiaWPCXX81%XX81%33'XXXXKKKK9".2)R/#R/#W &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MMW &d9 Z6Times New Roman Regular +MM)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   .R/#%M'13M *o /#c&d9 Z6Times New Roman Regularc     M   @M  Q Qc&d9 Z6Times New Roman Regularc ProceedingsofSummer2001.+%1f33f `+q / / q 1\ `,R//< / / q 1 `-RR< /< / q q WPC XX81%XX81%33'XXXXKKKK9"2&u/"u/"W &d9 Z6Times New Roman Regular +@W &d9 Z6Times New Roman Regular +3fW LL&d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3fW &d9 Z6Times New Roman Regular +3f9`!!!!!!  Zf3f 4  @ @ @ @ @ f" dPAddd$   2u/".%153 1+:/Wc&d9 Z6Times New Roman Regularc        a `!!!!!!ac&d9 Z6Times New Roman Regularc        @@          `  c&d9 Z6Times New Roman Regularc        @@0M..Theproceedingsofthe2001InternationalPanelcanbefoundathttp://mathforum.org/pcmiWPCXX81%XX81%33'XXXXKKKK9"0=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   0/.+%1 /5F/ ],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx MathematicsEducationAroundtheWorld:BridgingPolicyandPracticeWPCJXX81%XX81%*3'XXXXKKKK9"'=//Q xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3fQ xx,d9 0Times New Roman Bold +3f)?  Zf3f 4 @ @ @ @ @ @ f" dddddd$   '/.+%1 &5F/],d9 0Times New Roman Bold]xxx        @3f  Q Q],d9 0Times New Roman Bold]xxx Highlights SummaryInformation(PerfectOffice_OBJECTS,2yŝj2yŝj0c:\Corel\Suite8\Programs\Masters\Color\ICE.MSTGlenda156e$C:\COREL\SUITE8\PROGRAMS\PRWIN8.EXE