professional vision in action: an exploratory study · 2013-08-02 · miriam gamoran sherin,...
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Miriam Gamoran Sherin, Rosemary S. Russ, Bruce L. Sherin, & Adam Colestock 27
Volume 17, Number 2, Fall 2008
Professional Vision in Action:An Exploratory Study
Miriam Gamoran Sherin, Rosemary S. Russ,Bruce L. Sherin, & Adam Colestock
Northwestern University
Issues in Teacher Education, Fall 2008
Forthepasttwodecades,muchofmathematicsteachereducationandprofessionaldevelopmenthasfocusedonhelpingteachersdeveloptheir subject matter knowledge and pedagogical content knowledge(Shulman,1987).Theideahasbeenthatteachersneedadeepunder-standingofmathematics,andonethatispedagogicalinnature.Morerecently,researchersandteachereducatorshavebeguntoconsiderhowteachersapplythisknowledgeinplanningforandcarryingoutinstruc-tion (Franke,Carpenter,Levi,&Fennema,2001;Lampert,2001).Ofparticularconcernarethewaysinwhichteachersemployknowledgeintheverymomentsofinstruction,whentheyareleadingdiscussionsorinteractingone-on-onewithstudents. GiventhecurrentcontextofreformintheU.S,thein-the-momentdemandsthatmathematicsteachersencounterhavebecomeincreasinglygreat.Ratherthancarefullyfollowapre-plannedlesson,mathematicsteachingtodaycallsforagreatdealofon-the-flydecisionmaking(Smith,1996;Wallach&Even;2005).Teachersmustbeabletoquicklydiagnosestudents’thinking,decidewhetherornottopursueanunexpectedtan-gent,andcontinuallyassesstheprogressofanon-goinglesson.Otherresearchershavealsonotedtheimportanceofthiskindofexpertiseboth
Miriam Gamoran Sherin and Bruce L. Sherin are associate professors, Rosemary S. Russ is a post-doctoral fellow, and Adam Colestock is a graduate student, all with the School of Education and Social Policy at Northwestern University, Evanston, Illinois.
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forteachingingeneral(e.g.Berliner,1994;Rodgers,2002),andmorespecificallyfortheteachingofmathematicstoday(Ball,&Cohen,1999;Chamberlin,2005). Manykindsofknowledgemustbebroughttobearbyteachersdur-ingthemomentsofinstruction.Inpriorworkwehavefocusedononeaspectofthisknowledgethatwecallprofessional vision. Goodwin(1994)coinedthetermprofessionalvisiontocharacterizethespecializedwaythatmembersofaprofessionalgrouplookatthephenomenaofinter-estofthem.Thus,adetective’sprofessionalvisionallowshimtomakesenseofacrimescene,andanarchitect’sprofessionalvisionallowsthearchitecttorecognizekeyfeaturesinthedesignofbuildings.Ateacher’sprofessionalvision,ontheotherhand,isconcernedwiththephenomenaofclassroominteractions.Morespecifically,teachers’professionalvisioninvolvestheabilitytonoticeandinterpretsignificantinteractionsinaclassroom(Sherin,2001,2007). Thestudyofteachers’professionalvisionposessomeuniquechal-lenges.Theapplicationofprofessionalvisionhappensinamannerthatisfleeting,andthatisdistributedthroughthemomentsofinstruction.Becauseoftheongoingnatureofinstruction,itisnotrealistictoexpectthatonecould“pause”instructionmomentarily,askateacherwhatheorsheisattendingtoatthatmoment,andthencontinueuninterrupted.Toaddressthisproblem,wehavereliedextensivelyonvideoasatoolforstudyingprofessionalvision.Weaskedteacherstolook,retrospectively,atshortexcerptsofvideothatwehadcollectedoftheirownteaching,ortheteachingofothers. Inthisarticle,wereportonourattemptstoemployanewtechno-logicalsolutiontostudyprofessionalvisioninaction.Wehaverecentlybeguntoexploretheuseofanewkindoftinywearablevideocamerathatcanbewornbyteachersinordertocaptureclassroomeventsfromtheirownperspective.Ourpurposehereisto,first,drawsomeinitialconclu-sionsabouttheviabilityofthisnewtechnologicalsolutionasameansthroughwhichtostudyprofessionalvision,andtoperhapsenhanceit.Second,wewillreportonsomeofourfirstattemptstousethecameratoanswerbasicquestionsaboutthenatureofteachers’professionalvisionasitisappliedinaction.Workingwithonehighschoolmathematicsteacherweask:(a)Whatkindsofeventsstandouttotheteacherdur-inginstruction?and(b)Towhatextentcantheteacherarticulatewhythoseeventsaresignificant?
Using Video To Study and Enhance Professional Vision
Severalattributesofvideoindicatethatitmightbeavaluablemedia
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forexploringteachers’professionalvision.First,videoappearstocapturemuchofthecomplexityofclassroominteractions.Whiletheperspectiveofthevideographercertainlyinfluenceswhataspectsofclassroominter-actionsareportrayed(Goldman-Segall,1998),videohasthepotentialtorichlyrepresentclassroomenvironmentsandthemultipleactionsthattakeplacesimultaneously.Second,videoprovidesapermanentrecordthatcanbeviewedrepeatedly.Thusunlikealivemomentofteachingthatisoverinaninstant,videoallowsonetopreserveaninteractionforlaterconsideration.Andratherthanhavingone’smemory—whichcanvary—serveastherecord,videodocumentswhattookplaceinanunwav-eringformat(McAdams,1993).Third,whenviewingvideo,teachersdonotneedtorespondwiththeimmediacythatistypicallyrequiredduringinstruction.Insteadwatchingvideocanbeatimeforteacherstoengageinextendedreflectiononwhatistakingplaceinalessonandwhy. Giventheseattributes,wehypothesizedthatvideohasthepotentialtoprovidebothameansofstudyingprofessionalvisionandofdevelopingteachers’professionalvision.Inparticular,inpriorresearch,weexploredthepossibilityofusingvideo clubsasacontextinwhichtostudyandattempttoenhanceprofessionalvision.Invideoclubs,groupsofteacherswatchanddiscussexcerptsofvideofromtheirclassrooms.Wespeculatedthat,byreflectingonvideooutsidethedemandsofinstruction,teach-ersmightestablishnewwaysofnoticingandinterpretingclassroominteractions. Muchofourresearchhasinvolvedorganizingyear-longvideoclubsfocusedonmathematicsteachingandlearning.Moreover,severalofthevideoclubswestudiedweredesignedwiththegoalofhelpingteacherslearn to closely attend to students’ mathematical thinking.Towardsthisend,aresearcherwouldtypicallyvideotapeoneoftheparticipatingteacher’sclassroomsandthenselecta5-7minuteexcerpttoshowatthenextmeeting.Whileweoftensolicitedteachers’helpinchoosingclipsforthevideoclub,theoverwhelmingresponsewasthatitwassimplytootime-consumingforteacherstoreviewavideotapepriortothevideoclubmeeting.Alsonoteworthyisthatafacilitatortypicallyattendedeachvideo clubmeetingandprompted the teachers todiscusswhatstoodouttotheminthevideoandtolookcloselyatthemathematicalideasraisedbystudentsinthevideoclips. Analysisofteachers’discussionsinthevideoclubshavebeenre-portedelsewhere(Sherin,2007;Sherin&Han,2004;vanEs&Sherin,2008).Ofparticularinterestisthat,overtime,teacherscametopayincreasedattentiontostudents’thinkinginthevideoclips.Thus,forexample,SherinandHan(2004)reportedthatteachersinitiallycom-mentedonpedagogical issues thatwereapparent in thevideo clips,
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describingwhattheteacherinthevideowasdoingorsaying.Lateron,however,teachers’attentionbecamemorefocusedonthemathematicalideasraisedbystudentsinthevideo.Atthesametime,theteachersdevelopedanumberofstrategies for interpretingstudents’ thinkingincludingdiscussingthereasoningbehindstudents’methods,comparingdifferentstudents’ideas,andlookingacrossalessonatthedevelopmentofaparticularconcept.Inrelatedwork,vanEs&Sherin(2008)foundthatitwascommonforteachersinavideoclubtoinitiallyevaluatewhattheyviewed,ortosimplylistkeyeventstheyidentified.Overthecourseoftheyear,however,teachersbegantomoreofteninterprettheeventsthattheynoticed,andincreasinglyusedvideoasasourceofdetailedevidenceformakingsenseoftheseevents.
Issues in the Study of Teachers’ Professional Vision
Whilethisresearchhasyieldedvaluableinformationaboutthechar-acterofteachers’professionalvision,anumberofkeyissuesremained.First,ourtypicalapproachtovideotapinginaclassroominvolvedsettingupacamerainthebackoftheroom,viewingwhole-classinteractionsfromafairlywideangle,andoccasionallyzoomingintocapturewritingontheboard,anexplanationfromtheteacher,oraquestionfromastudent.Whilethisapproachallowedustocapturemuchoftheactivitytakingplaceinalesson,itrepresentedasomewhatdistortedviewofwhatateacherseesduringinstruction.Onthevideoweseemainlythebackofstudents’heads(dependingonthearrangementofdesksintheroom)whiletheteacher’sfaceisshownfromafrontalview.Totrulystudyteachers’professionalvision,itseemedthatwemightinsteadneedtoshowteachersvideothatrepresentedclassroominteractionsfromtheirperspective. Second,asmentionedabove,theteacherswithwhomweworkedfounditdifficulttofindthetimetoselectvideoclipstoshowtheircol-leagues.Thisresultedinacriticalpartofthevideoclubdesign—selectingclips—remainingunderthecontroloftheresearchers.Andwhileitmightbethecasethatasresearcherswehavetheexpertisetoselectclipsthatwilllikelystimulatediscussionamongteachers(Linsenmeier&Sherin,2007),theclipsneverthelessrepresentedwhattheresearchersfoundinteresting,ratherthantheteachers.Wewonderediftheremightbeawaytoshiftthisresponsibility,andtoputthevideointhehandsoftheteachersinawaythatwasmanageableforthem. Third,instudyingprofessionalvisioninvideoclubs,werecognizedthatwewereinvestigatingaparticularaspectofteachers’professionalvision—thewaythatteachersnoticeandinterpretclassroominteractionsafterthefact,forexample,astheyappearonvideo.Andasdiscussed
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above,whilewebelievethatvideoprovidesausefulrepresentationofclassroomevents,werecognizedthatprofessionalvisionasitisusedbyteachersinthemomentofinstruction,whatwearecalling“professionalvisionin-action,”mightbesomewhatdifferent.Becausevideoaffordstheluxuryoftime,thewaythatteachersattendtoclassroomeventsviavideomightbequitedifferentfromthesortofinstantaneousreactiontheyhaveduringclass.
Research Design
Inearly2007,wecameacrossatechnologicalinnovationthatwebelievedwouldallowustoextendourpreviousresearchonteachers’professionalvision.Usinganewvideocamera,weattemptedtovideotapefromtheteacher’spointofview,toputtheselectionofclipsinthehandsoftheteacher,andatthesametime,tostudythenatureofprofessionalvisionin-action.Inordertoinvestigatetheviabilityofthisapproach,ratherthanworkwithagroupofteachersinavideoclubformat,wedecidedtoembarkonatrialwithoneteacher.Whileworkingwithoneteacherobviouslylimitstheextenttowhichwecangeneralize,webelievethatitisanessentialfirststepasweseektounderstandwhetherthisnewtechnologyisusablebyteachers,andwhetherithaspromiseasanewtoolforexaminingteachers’professionalvision.
The Camwear 100 Awiderangeoftechnologicaladvanceshavetakenplaceinthelastdecade,manyofwhichhaveinfluencedtheeasewithwhichresearchersandteachereducatorscanusevideowithteachers.Ofparticularinter-esttouswasthedevelopmentoftheCamwear100byDejaview(Reich,Goldberg,&Hudek,2004).TheCamwear100consistsofasmalldigitalvideocamera,approximatelyone-inchlong,andaseparaterecordingmodule,thatisaboutthesizeofacellularphone,andthatcanbewornonabelt.Becauseofthecamera’ssmallsizeitis“wearable,”andcaneasilybeaffixedtoone’sglassesortothebillofahat.Inaddition,theCamwear100features“after-the-fact”technology,whichallowsonetocapturetheprevious30seconds.Essentially,therecordfeatureofthecameraworksnonstop,butthecameracontinuallyrecordsoveritselfafter a short period of time. Pressing the“save” button, in contrast,storesthemostrecent30secondsofactioninadigitalvideofileonthememorycardhousedintherecordingmodule.Thenumberofclipsthatcanberecordeddependsonthesizeofthecardinsertedintherecordingmodule.Thecardweusedcouldholduptoforty-eight30secondclips.Thestoredclipscanbedownloadedontoacomputerandviewed.
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Piloting the Camwear 100 Toexplorehowthese featuresof the cameramightpermitus toinvestigateteachers’professionalvisioninanewway,werecruitedonehighschoolmathematicsteachertotestthecamerainhisclassroom.Theteacher,RayBryant,1wasinhisfifthyearofteachingatanurbanpublichighschoolinalargeMidwesterncity.Mr.BryanttaughtYears2and3oftheInteractiveMathematicsProgram(Fendel,Resek,Alper&Fraser,2000)whichcoversarangeoftopicsfromalgebra,geometry,andstatistics.Classperiodsattheschoolwereorganizedintoblocksof90minutes,witheachclassmeetingthreetimesaweek.IntheclassMr.Bryantselectedforthisstudy,studentswerearrangedinsixgroupsoffivestudents.Typicallessonsinvolvedstudentsworkingintheirgroupstopreparepresentationsonthepreviousnights’homeworkorin-classproblemsandthenpresentingthosesolutionstotheclass.Thepresen-tationswerefollowedbywhole-classdiscussionoftheproblemsaswellastheintroductionofconceptsandmethodsbyMr.Bryant. Priortothisstudy,Mr.Bryanthadusedvideotoreflectonhisteach-ing.Inparticular,duringthepreviousschoolyear,Mr.Bryantappliedfor(andreceived)NationalBoardcertification.Aspartoftheprocess,Mr.Bryantneededtoselectvideoexcerptsfromhisclassroomandpreparenarrativeanalysesoftheexcerpts.Inaddition,Mr.Bryantparticipatedinweeklymeetingswithothermathematicsteacherswhowereprepar-ingNationalBoardportfolios.Inmanyofthesemeetings,theteacherssharedexcerptsofvideofromeachothers’classroomsanddiscussedhowtheexcerptsillustratedNationalBoardcriteriaforeffectiveteaching. Aspartofthisstudy,Mr.BryantvolunteeredtousetheCamwear100inoneofhisclassesonthreeseparatedaysinMay2007.Priortoeachclass,Mr.Bryantmetbrieflywitharesearchertodescribetheday’slesson.TheresearcherthenaffixedthecameratoahatthatMr.Bryantwouldwear.(Sincehatswerenotpermittedattheschool,Mr.Bryantexplainedtheresearchstudytohisstudentsandspecifically,hisreasonforwearingahatinclass.)OurinstructionstoMr.Bryantwerefairlysimple:weaskedhimtocapture“interestingmoments”bypressingthe“save”buttononthecamera.Noinstructionsweregivenconcerningthenumberofclipstosaveorthecontentoftheclips.Priorto the third testdate,Mr.Bryantasked foramorespecificpromptfromtheresearcher.InresponsetheresearcherofferedMr.Bryantanumberofchoicesfromwhichtheteacherselected“momentsofconfu-sion—yoursandyourstudents”and“momentsinwhichyouchangedyourplannedinstruction.”Aresearcheralsoobservedandvideotapedeachofthethreeclasssessions.Thevideotapingtookplacefromthebackoftheroomaswehaddonepreviouslyandwasintendedtopro-
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videacompleterecordofthelessontocomplementanyclipsthatMr.Bryantwouldsave(Figure1). Followingeachofthethreetestclasses,Mr.Bryantparticipatedinaninterviewwiththeresearcher.Eachinterviewlastedapproximately30minutesandwasvideotaped.Priortotheinterview,theclipsthatMr.Bryanthadsavedthatdayweredownloadedontoacomputer.AstheresearcherandMr.Bryantwatchedeachclip,Mr.Bryantwasaskedtoexplainwhyhedecidedtocapturethatmomentduringclass.Inad-dition,theresearcheraskedMr.BryanttodiscusshisexperienceusingtheCamwear100thusfar.AcopyoftheinterviewprotocolcanbefoundinAppendixI.
Figure 1(a)TheCamwear100attachedtotheteacher’shat,and(b)aviewfromthecamera.
(a)
(b)
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Methods of Analysis Analysisofthedataproceededinthreephases.Initially,aresearcherreviewedtheteacher’slessonplanandanyaccompanyinghandouts,theindividual30-secondclipsMr.Bryantselectedwiththecamera,andtheresearcher-directedvideotapeoftheentireclassperiod.Bycoordinatingtheserecordsoftheclass,theresearcheroutlinedthecontextoftheles-sonsurroundingeachclip.Theseoutlinesincludedadescriptionofthemathematicsonwhichtheclasswasworking,whohadbeenspeakingpriortotheclip,andwhatideashadrecentlybeenraisedinclass.Thedescrip-tionshelpedtheresearchermakesenseofwhathappenedduringtheclipsthattheteacherselected.Theresearcheralsocreatedasummaryofeach30-secondclipindicatingthetimeatwhicheachclipwascapturedduringthe90-minutelesson,aswellasthetypeofclassroomactivityrepresentedwithintheclip.Inaddition,theresearcheranalyzedtheinterviewdataandcreatedasummaryofMr.Bryant’scommentsafterwatchingeachclip.Thoughneithertheclipsnortheinterviewsweretranscribedintheirentirety,relevantandexemplaryquoteswerenoted. Inthesecondphaseofanalysis,tworesearchersreviewedtheworkofthepreviousresearcherandattemptedtoclassifytheteacher’sstatedreason(s)forcapturingeachclip.Tostart,asubsetoftheteacher’sre-flectionsfromeachofthethreedateswereconsideredandasetofpre-liminaryreasonswasidentified.Next,theteacher’sreflectionsonalloftheclipswerereviewedandcategorizedintermsofthesereasons.Thisanalysistookplaceinacyclicalprocessinwhichthesetofreasonswasrefinedasneeded.ThisprocesscontinueduntilMr.Bryant’sreasonsforselectingeachclipwerecodedwithinasetofstablecategories.AnalysisalsonotedwhetherMr.Bryantindicatedasinglereasonforselectingaparticularcliporwhethermultiplereasonswerecited. ThethirdandfinalphaseofanalysisfocusedontheinterviewsandinvestigatedcommentsMr.Bryantmadeconcerning thevideotapingprocessandreviewofclips.Thus,ratherthanexaminethenatureoftheclipsthemselves,orMr.Bryant’sreactionstotheclips,hereourgoalwastoidentifyotherissuesandconcernsraisedbyMr.Bryantindiscussionwiththeresearcher.Todoso,thethreeinterviewswerereviewed,andsegmentsofdiscussionnotaboutspecificvideoclipswerenoted.Wethenlookedacrossthesecommentsandidentifiedthreemainthemes:(a)thepracticalityoftheCamwear100,(b)theusefulnessofthecameraper-spective,and(c)theinfluenceoftheprocessonMr.Bryant’steaching.
Results
InwhatfollowswediscussthenatureoftheclipsthatMr.Bryant
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identifiedas“interesting”aswellasthewaysinwhichhediscussedtheseclipsintheinterviews.WethendiscusshowMr.Byrantcharacterizedtheinfluenceofthevideotapingprocessonhisinstruction.
Collected Clips Tostart,wedescribetheclipsMr.BryantselectedinordertogivethereaderasenseofthekindsofthingsthatMr.Bryantnoticesinhisclassroom.Wediscusshowfrequentlyhecollectedtheclips,thekindsofactivitydisplayedintheclips,andtheroleoftheparticipantsintheclips. Number and frequency of the clips.OnthefirstdayofusingtheCam-wear100,Mr.Bryantsavedtenclipsduringthe90-minutelesson.Onthesecondday,heselectedsevenclips,andonthelastdayatotalofnineclipsweresaved.Inallcases,hecapturedmomentsspreadthroughoutthe90-minuteperiod.Sometimeshechosemomentsveryclosetooneanother(withintwoorthreeminutes)andatothertimestheclipsweremuchfartherapart(aroundtenminutes).Figure2illustratesthistimedistributionoftheclipsforeachclassday. ThefactthatMr.Bryantcollectedbetweensevenandtenclipsshowsawillingnessonhisparttoengagewiththetechnologyandintegrateitintohisteaching.Sincehecapturednearlyasmanyclipsonthelastdayashedidonthefirst,wespeculatethathiswillingnessdidnotwaveroverthecourseofthisshortintervention.Inaddition,hiscollectionsuggeststhatusingthecamerawasnotsointrusiveonhisteachingastostophimfromcollectingclips.Mr.Bryantconfirmedthisinhisinterviewsaying“itwasnobigdeal”tocapturethemoments.ThemoderatenumberofclipscapturedalsosuggeststhatMr.Bryantwasbeingsomewhatselectiveinthemomentshechose.Incontrast,wecanimagineadifferentteacher
Figure 2Distributionofclipselectionforthethreedaysofclass.
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whomightsaveaclipeverytimeastudentanswersaquestion,whichwouldresultinamuchlargernumberofclips. Thisdistributionrulesouttwoproblemswemightimagineoccur-ringwhenateacherusesthecamera.First,thefactthattheclipsarespreadthroughouttheclassperiodsuggeststhattheteacherdoesnotstopusingthecameraashegetsfurtherintoinstruction.Weretheclips“clumped”atthebeginningofthelessonwemightimaginetheteacherwasattentivetointerestingmomentsatfirstbuteitherforgotaboutit,lostinterest,ordidnothaveenoughtimeinthemidstofinstructiontocaptureclips.Second,thefactthattheclipsareunevenlydistributedsuggeststhatMr.Bryantwasnotjusthittingthebuttonafteragivenintervaloftimehadpassed.Itappearsthathewasalwaysonthelookoutforinterestingmoments,whethertheyhappenedimmediatelyafteroneanotherorwithlongstretchesbetweenthem. Classroom activities represented in the video clips.Mr.Bryantselectedavarietyoftypesofclassroomactivityusingthecamera(seeTable1).Hecapturedwhole class discussionsthathemoderatedfromthefrontorsideoftheroom.Healsochosemomentswhenstudentswereworkinginsmall groupsashecirculatedtoanswerquestionsorcheckprogress.Studentpresentations,whicharecommoninhisclassroomandinvolveagroupofstudentsusingwhiteboardstoreporttheirproblemsolutionstothewholeclass,werealsoselectedanumberoftimes.Finally,Mr.Bryantcapturedwhatwecharacterizeaspredominantlyteacher talk.Incharacterizingtheseclipsassuchwedonotmeanthatthestudentsaresilent,butonlythattheteacherprovidesmostofthesubstantiveconceptualideas.
Table 1Distributionofclassroomactivitiesintheclips.
Classroom Activity Number Percent of of Clips Total Clips
Wholeclassdiscussion Singlecontributor 6 23.1% Multiplecontributors 4 15.4%
Smallgroupwork Singlecontributor 2 7.7% Multiplecontributors 4 15.4%
Studentpresentations Singlecontributor 2 7.7% Multiplecontributors 3 11.5%
Teachertalk 5 19.2%
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ThesefourtypesofclipsarefairlywellrepresentativeofhowMr.Bryant’sclassroomoperatedonthedaysweobserved.Thestudentssatwiththeirdesksinsmallgroupsandworkedonorreviewedproblemstogether.Afewgroupspreparedpresentationsoftheirworkandpre-sentedtotheclass,whichthendiscussedthemethodsandideasofthepresentinggroup.Thus,asissuggestedabovebythefactthatMr.Bry-antcapturedmomentsspacedintimethroughouttheclassperiod,hischoiceofclipswaswelldistributedoverthedifferentactivitystructuresthatcharacterizehisclassroom. GiventhatthecamerawaslocatedonMr.Bryant’sperson,hewasobviouslypresentduringalltheclipshecaptured.However,hispres-encedoesnotmeanhewasalwaysparticipatingvocally.Aside fromtheclipscodedas“teachertalk,”approximatelyhalfwerecommentsorideasvoicedbyonestudent(withpossiblyanon-substantiveutterancebyanotherstudentorteacher).Theotherhalfwereexchangesamongmultipleparticipants—eitheronlystudentsorstudentsandtheteachertogether.ThisanalysissuggeststhatMr.Bryantdoesnotneedtobeactivelyinvolvedtofindaconversationinteresting.ForMr.Bryant,thestudentscan,largelyontheirown,createmomentsworthyofnotice. Thefirstthreetypesofclassroomactivityaccountfor80%oftheclipsMr.Bryantselected.Theyallinvolvedsomepartofadiscussionofmathematicalideas,beitoneturnofthediscussionormultipleturns.Selectingclipsduringdiscussionsisnotsurprisingforthisteacher.Indiscussinghisclass,Mr.Bryantexplainedthattheclassismoreinter-estingwhen“goodconversationshappen”thanwhenthematerialistoostraight-forwardtolenditselftodiscussions.Forexample,Mr.Bryantsays“This coupleof lessonsdidn’t really lend itself toas in-depthaconversationordiscussionasthepreviousclass”asanexplanationforwhyhecapturedfewerclipsononedaythananother.Thustheclipshecaptureson-the-flyusingthecameraareatleastpartiallyconsistentwithhisoverallimpressionsoftheclass.
Teacher’s Reflections on Clips Collected Mr. Bryant’s reflections on his clips provide additional informa-tionconcerningwhathenoticesintheclassroom.WefirstdescribethevariedreasonsMr.Bryantofferedforchoosingtheseparticularclipsasinteresting.Nextwediscusstheformthathisreflectionstook,thatis,theapproachesMr.Bryantusedtodiscussthesavedclips. Reasons offered for selecting clips.Mr.Bryant’sreflections intheinterviewprovidefurtherevidencethatheattendstoavarietyofkindsofeventsintheclassroom.Weidentifiedinhisreflectionsarangeofrea-sonsforselectingtheparticularclipshecapturedincluding:(a)student
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thinking,(b)discourse,(c)teachermoves,(d)teacherstrategies,and(e)studentengagement.WecharacterizedMr.Bryantasselectingaclipbecauseofstudents’thinkingwhenhisreflectionfocusedonthesubstanceoftheideasraisedbystudents.Fordiscourse,welookedforafocusonhowtheteacherandstudentscommunicatedwithoneanother,orontheprocessbywhichideaswerearticulatedanddiscussed.Ateachermovereflectionfocusedonin-the-momentteacheractionsordecisionssuchasachangeininstructioninresponsetosomethingunanticipated.In
Table 2Teacher’sreasonsforselectingclips.
Reason Sample Explanation given by the Teacher Percent offor Selection Clips*
Student “ThereasonIcapturedthatwasbecause 37.5%Thinking Tracy…shehadacompellingargument…. [Itwas]notjustthateveryonehaddoneit thisway.[And]herargumentwasfairly logical.”
Discourse “WhenAnitastartedtocontradictGreg… 20.0% itwasthislittlebattlebackandforth, whichIlikeinaclassroom…Anditseemed veryrespectfulandnon-confrontationaland Iwastryingtocapturethat.”
Teacher “Thiswasoneofthosecriticalmoments, 17.5%Moves where…Ihadjustplannedonbrushingright throughthatandnotspendinganymoretime. Butthat’swhereImadeadecisiontostopand seewhereisthisgoingtogo.”
Teacher “Alextellsmethequestion,andIjustanswered 17.5%Strategies it…whichisnotcool.[Ithought],‘ShouldIhave justansweredthatquestion,or…[was]therea lineofquestioningIcouldhaveledhimdown thatwouldhavehelpedAlex…cometo[his] ownanswer?’”
Student “WhatIthoughtwasinterestinginthiswas 7.5%Engagement thatallfiveof[thestudentsinthesmall group]…they’reallworkingontheproject… butnobody’swritinganythingdown…Ithink that’saparticularproblemwehaveinthis school.”
*Thiscolumnaddsuptomorethan100%becausesomeclipswerecodedasbeingselectedformultiplereasons.
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contrast,ateacherstrategyreflectionidentifiedaclassofinstructionalroutines that the teacher commonly used. Finally, we characterizedMr.Bryantasselectingaclipbecauseofstudentengagementwhenhisreflectionfocusedonthequalityoramountofstudentparticipationinagivenmoment.WeshouldbeclearthatMr.Bryantdidnotexplicitlyusetheseterms;thecategoriesareourresearchercharacterizationsofhisreflections.Table2listseachofthereasonsweidentifiedandacor-respondingquotefromMr.Bryant. Form of reflection: Identification of singular event versus narrative.WenowturntoadiscussionoftheformofMr.Bryant’sreflections,thatis,thewaysinwhichhediscussedthesereasons.Inparticular,wefoundthatMr.Bryant’sreflectionstookontwodistinctforms,eachofwhichmayindicatedifferentaspectsofhisprofessionalvision.For11outofthe26clips,Mr.Bryantidentifiedasingulareventwithinthe30secondsthathe foundnoteworthy.Inthese“focusedreflections,”Mr.Bryantusuallydiscussedparticularmomentsintheclasswhenhewasstruckbysomething—eitherstudents’thinking,hisownthink-ing, orhis teaching.Forexample, inone reflectionMr.Bryant saidthathecapturedtheclipbecausehewaspleasantlysurprisedbyonestudent’sarticulationofadifficultconcept.Thoughthecameracaughtanexchangeinvolvingmultipleparticipants,Mr.Bryant’sreflectionfocusedonthesinglemomentwhenherealizedhowwellthestudenthadsummeduptheidea. Incontrast,for15outofthe26clipsMr.Bryantprovidedamorecomprehensivenarrativeofthe30secondsthatmayhavealsoincludedadiscussionofthetimeleadinguptoandfollowingtheclip.Inthese“extendedreflections,”heoftentoldastoryabouttheclassroomactivitythatdescribedtheactionitself,themathematicalcontent,thestudents’commentsandquestions,anyartifactsorrepresentations,theteacher’sresponses,andtheteacher’sthinking.Forexample,Mr.Bryantdescribedoneclipinwhichstudentswerehavingdifficultyansweringahomeworkproblem. Indoingso,he talkedabout theproblem itself, its relationtopreviousproblems, thestudents’methods, thecorrectmethod,hisintervention,thestudents’response,andthetypicalbehaviorofoneofthestudentsintheclip.
Impressions of the Process of Capturing Clips Finally,wereportonthreegeneralthemesthatMr.BryantraisedindiscussinghisexperiencespilotingtheCamwear100.Theseincludethefeasibilityofusingthecameraduringinstruction,theusefulness,fortheteacher,ofthecameraperspective,andfinally,Mr.Bryant’simpressionthatusingthecameramayhaveinfluencedhisteachinginpositiveways.
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Using the Camwear 100.Itseemedlikelytousthataskingateachertowearacameraanddeliberatelyselectmoments fromtheclass torecordwouldbemoreintrusiveonhisteachingthanmerelyallowingaresearchertotapetheclassfromthebackoftheroom.Yetoverall,Mr.Bryantdidnotfindthecameraoverlydistracting.Furthermore,hereportedthattheprocessofpushingthebuttonwasquitestraightfor-wardanddidnotinterferewiththeongoingnatureofhisteaching.Asheexplained,“[It]wasalittlestrangebutitdidn’t,Idon’tthink,reallygetinthewayofanything.” Mr.Bryantalsocommentedexplicitlyontheinfluenceofthecameraonthestudents.Hereportedthatinitiallythecamerawassomewhatdistractingtostudents.“[Onthefirstday]itwasontheirmindsquiteabit…It’sdifferentthanwhenyouhavethecamerainthebackoftheroomwhereIthinktheydoforgetaboutit…Ithinkinthiscasetheywerealwaysthinkingaboutwhether,itwasn’tlike,Idon’tthinktheywereperformingoranything,buttheywereclearlyawaretheywerebeing recorded.” By the second day of taping however, the situationeasedupasMr.Bryantexplained“[Today]Iwas…abletocapturemo-mentswithoutpeoplenoticingquiteasmuch.”Thus,fromapracticalperspective,usingtheCamwear100seemsquite feasible.Ofcourse,thefactthatMr.BryanthadpreviousexperiencebeingvideotapedmayhaveinfluencedhiseasewiththeCamwear100.Nonetheless,usingaCamwear100was, inseveralrespects,asubstantialdeparture fromMr.Bryant’spriorexperience.Mostimportantly,wearingthecamera,andselectingmomentstorecordashetaughtwerenewrequirements.Anditispreciselytheseuniquerequirements—andaffordances—oftheCamwear100thatwewishtounderstandinthispreliminarystudy. Usefulness of the camera perspective.Mr.Bryantstatedthathefoundtheperspectiveof thecamera, fromtheteachers’point-of-viewquiteinteresting. In contrast tohisprior experienceswithvideotaping, inwhichacamerawasinthebackofhisroom,theCamwear100providedadifferentoutlook,onethathefoundbeneficial.
Ilike[theviewfromthecamera].Ithasgoodvision.…[Withacam-erain]thebackoftheroomyoucouldprobablyseealittlebitmore,but,you’renotseeing,you’reseeingalotofbackoftheheadsfromthebackoftheclass.Here,youknow,forthemostpartthekidsarefacing,lookingatyoumore.Soyougetfacialreactions.Ithinkthat’sabigadvantage.
Infact,thisabilitytocapturestudents’facespromptedMr.Bryanttousethecameratowatchfornuanceinhisstudents’reactions.Intalk-ingwiththeresearcherheexplainedthat,attimes,hetriedtokeepa
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student’sfaceinhislineofvision,inordertolaterevaluatetheimpactofaparticularteachingmove.
Mr.Bryant:I[triedto]keepthecameraoverlongenoughtokindofgaugehisreaction…Ikindofwantedtoseehow…mymakingthoselittlecommentsgothim.
Researcher:Soyouweretryingtomakethatcommentandthen…keephiminyourgazeafterwards.
Mr.Bryant:Yeah.
Thecamera’sperspectivealsoseemedvaluablewhenMr.Bryantwasaskedtodiscussthesavedclipsintheinterviews.Specifically,whenviewingtheclipswiththeresearcher,Mr.Bryantsawtheinteractionexactlyashedidinthemomentofinstruction. Influence on teaching.Whenreflectingonusingthecameraforthefirsttime,Mr.Bryantindicatedthathechangedhisteachingtocreatemoremoments to capture.Hecomparedhowheconducted theclasswhileusingthecameratohisoriginalplanfortheclass.
IthinkIdidchangethingsalittlebit…Ithinkthediscussions,particu-larlythelargeclassdiscussionsthatwehadprobablywentonlongerthanIwouldhavedonenormally.BecauseIwastryingtofindsomethingtoworkwith…Actuallyitwasagoodthing…becauseIwouldhaveploughedthroughthatrealquickandnotspentasmuchtimediscussingit…SoIdefinitelymodifiedthingsabitbasedon[thecamera].
Thus, rather thanfinding the cameraanannoyance,Mr.Bryantthought“actually itwasagood thing.”Heallowed thediscussion tocontinueinthehopesthatinterestingmomentswouldcomeoutofit,orashesaid,inthehopesof“findingsomethingtoworkwith.”Thatsomethingassimple,andpotentiallyintrusive,asaskingateachertocaptureinterestingmomentscouldcauseateachertofostermomentswherestudents’thinkingismadepublicisextremelyexciting.Itsuggeststhatprofessionaldevelopmentencouragingteacherattentiontovariousaspectsoftheclassroommaydomorethanhoneteachers’professionalvision,itmayalsopersuadeteacherstocraftclassroomactivitysoastoallowmoreofthosemomentstohappen. WhileweareencouragedwiththisreportedshiftinMr.Bryant’steaching, we do not imagine that this attempt to create interestingmomentswouldbepermanentorevenlonglasting.Wesuspectthatasthecamerabecamemorecommonplacefortheteacher,hisattemptstofosterinterestingclipswoulddecrease.
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Discussion
Whathavewelearnedabouttheviabilityofthisnewtoolasameanstostudyandenhanceprofessionalvision?Canwebegintodrawanynewconclusionsaboutthenatureofprofessionalvision?Withrespecttoviability,theresultsofthisfirst,verypreliminarytrialweregener-allypositive.Manyofourmostseriousconcernsfailedtomaterialize.Theteacherandstudentsdidnotfindtheuseofthecameratobeoverlydisruptive.Furthermore,thefactthattheteachercollectedamoderatenumberofclips,distributedthroughoutmanypartsoftheclassroomsession, is suggestive of the tool’s viability. It suggests, for example,thatitmightbereasonableforateacher,workingwithouttheaidofresearchers,tocollectclipstousefordiscussionswithcolleagues.Suchclips could be shared in a variety of contexts including departmentorgrade levelmeetingsto illustrateparticular lessons,materials,orpedagogicalapproaches.Inaddition,thecamera’scapabilitieshavethepotentialtosupportvirtualteachercommunitiesthatexploreissuesofteachingandlearningovertheinternet. Inaddition,thenumberanddistributionofclipssuggeststhatthetoolmightbeusefulforthepurposesofresearch.Atleastinthiscase,theteacherwasnotcollectingclipshaphazardly.Instead,itseemedtobepossibleforhimtocollectclipsinathoughtfulanddeliberatemanner.Thissuggeststhatthroughtheuseofthistoolwemightbeabletotapintoimportantpartsofateacher’sonlinethinking. Whathavewelearnedaboutprofessionalvisionfromthisbrieftrial?Webelievethatcautionisrequiredindrawingconclusionaboutprofes-sionalvisionfromdataofthissort.ItseemsclearthattheclipscollectedtellussomethingaboutMr.Bryant’sprofessionalvision,butitisnotclearpreciselywhattheytellus.Similarly,hisreflectionsonwhyheselectedclipsseemtoberelevantdataaboutprofessionalvision.Butwecannotassumethatthereasonsthathegavebearanysimplerelationshiptohisthinkingatthetimeheactuallyselectedtheclip.Theseproblemsareamplifiedbythenatureofprofessionalvision.Webelievethatprofessionalvisiontypicallyactsinarapidandrelativelyunconsciousmanner,oftenlikesimplerecognition.Thismeansthatmuchofprofessionalvisionwillnotbeeasilyaccessible(oreasytoverbalize)byteachers. Nonetheless,webelievethatthedatadoallowustodrawsometen-tativeconclusionsaboutteachers’professionalvision.First,webelieveitisreasonabletoassumethatthemomentsMr.Bryantselectedweremomentsatwhichhisprofessionalvisionwashardatwork,evenifwecannotbecertainexactlywhatworkitwasdoing.IfMr.Bryantwasnotpayingattentionandthinkinghardaboutwhatwasgoingonatagiven
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moment—and thus not employing his professional vision—it seemsunlikelythathewouldhavedecidedtostoreaclipatthattime.Thus,attheleast,itseemsreasonabletotakethedistributionofstoredclipsasindicativeoftimeswhenhisprofessionalvisionwasactive.Inthisregard,notethattheinterestingmomentsselectedbyMr.Bryantwerespreadthroughoutthelessonandacrossdifferentkindsofactivities.Thismightsuggestthattherealchallengesofprofessionalvisionarenotlocalizedtoanyparticularsub-typeofactivity.Acrossallactivities,theteacherwasactivelyparsingandprocessingclassroomevents.Thiswaseventhecasewhentheteacherwasjustwatchingstudents,andnotintervening. Inaddition,recallthatwenotedthatMr.Bryant’sreflectionstooktwoforms,singularandnarrative.Thiscouldperhapsbesuggestiveofsomefundamentallydifferentmodesinwhichhisprofessionalvisionoperates.Forexample,insomecases,the“event”thatisperceivedmightbeveryshortinduration,suchasasingleutterance.Inothercases,hemightbeparsingandmakingsenseofeventsthatspanasignificantfractionofaclassroomsession. Finally,despitethecaveatsoutlinedabove,wedobelievethatthereasonsgivenbyMr.Bryantforselectingclipsprovideinsightintohisprofessionalvisionandintothekindofactivitythatstandsouttohimduringinstruction.Indeed,Mr.Bryantwasattimesquitearticulateabouthisreasonsforcapturingaclip.Infact,whenaskedoutsidethecontextoftheclassroom,hereportedalistofthekindsofeventshetypicallyfindsinteresting;“There’sthecontent…thenthere’s…communication,engagingthestudents,equityissues.”Thusheseemedwellawareofthepotentialreasonswhyaclassroominteractionmightbenoteworthy.YetsometimesMr.Bryant’snoticingappearedtotakeamoretacitform.Specifically,heexplainedthat,attimes,hesimplyhadanimplicitsensethatsomethingwasinteresting.Hedescribedthissortofnoticingbysaying“Itmighthavejustbeenlike,‘Oh,there’samoment,’withoutreally thinkingaboutwhat it is.”Thisobservation thatMr.Bryant’sprofessionalvisionhas tacitandexplicitelements is importantbothbecauseofthecarethatwillbeneededindrawingconclusionsfromhisstatedreasonsforselectingaclip,andalsobecauseofwhatitsuggestsaboutthenatureofteachers’professionalvision. Ourpreliminaryanalysissuggeststhatthisnewvideotechnologycaninformourunderstandingofteachers’professionalvision.Assuch,weplantoextendthisworkinseveralways.First,byincreasingthenumberofteachersusingtheCamwear100,wewillbeabletoinvestigatehowtypicalMr.Bryant’sexperienceswere—bothintermsofthecamera’susabilityandintermsofwhatwecanlearnaboutprofessionalvision
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fromitsuse.Second,weintendtoorganizevideoclubsinwhichteacherswillshowclipstheysavedusingthistechnology.Thiswillprovideusefulinformationontheviabilityofscalingupteacher-ledvideoclubs.Third,weplantoexploreseveraltechnologicalmodificationsinthecamera,includingincreasingthelengthofthesavedclipstooneortwominutesandcreatingsoftwarethatwillallowteacherstoeasilyannotateandcategorizetheirclips.Fourth,whilethefocusofthisstudywasamath-ematicsteacher’sprofessionalvision,itisnotcleartousthatourfindingsareuniquetomathematicsteachers.Thus,weplantoextendthisworktoothersubjectareasinanefforttospecifythesubject-specificnatureofprofessionalvision.Weexpecttheseextensionstobevaluablebothforstudyingprofessionalvisionandfordevelopingmeaningfulwaystoenhanceteachers’professionalvision.
Notes ThisresearchissupportedbytheNationalScienceFoundationunderGrantNo.REC-0133900andbytheEdisonFoundation.Theopinionsexpressedarethoseoftheauthorsanddonotnecessarilyreflecttheviewsofthesupportingagency. 1Allteacherandstudentnamesarepseudonyms.
ReferencesBerliner,D.C. (1994).Expertise:Thewonderofexemplaryperformances. In
J.M.Mangier&C.C.Block(Eds.), Creating powerful thinking in teach-ers and students: Diverse perspectives(pp.161-186).FortWorth,TX:Holt,Rinehart,&Winston.
Ball,D.L.,&Cohen,D.K.(1999).Developingpractice,developingpractitioners:Towardapractice-basedtheoryofprofessionaleducation.InG.SykesandL.Darling-Hammond(Eds.),Teaching as the learning profession: Handbook of policy and practice(pp.3-32).SanFrancisco:JosseyBass.
Chamberlin,M.T.(2005).Teacherdiscussionsofstudents’thinking:Meetingthechallengeofattendingtostudents’thinking.Journal of Mathematics Teacher Education, 8(2),141-170.
Fendel,D.,Resek,D.,Alper,L.,&Fraser,S. (2000). Interactive Mathematics Program.KeyCurriculumPress.
Franke,M.L.,Carpenter,T.P.,Levi,L.,&Fennema,E.(2001).Capturingteach-ers’generativechange:Afollow-upstudyofprofessionaldevelopmentinmathematics. American Educational Research Journal, 38(3),653-689.
Goodwin,C.(1994).Professionalvision.American Anthropologist, 96,606-633.Goldman-Segall, R. (1998). Points of viewing children’s thinking: A digital
ethnographer’s journey.Mahwah,NJ:Erlbaum.Lampert,M.(2001).Teaching problems and the problems of teaching.NewHaven,
CT:YaleUniversityPress.Linsenmeier,K.,&Sherin,M.G.(2007).What?,Wow!,andHmm…:Videoclips
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thatpromotediscussionofstudentmaththinking.Journal of Mathematics Education Leadership, 10(1),32-41.
McAdams,D.P.(1993).The stories we live by: Personal myths and the making of self. NewYork:GuilfordPress.
Reich,S.,Goldberg,L.,&Hudek,S.(October,2004).DejaViewCamewearModel100.PaperpresentedattheFirstACMworkshoponContinuousArchivalandRetrievalofPersonalExperiences.NewYork.
Rodgers,C.R.(2002)Seeingstudentlearning:Teacherchangeandtheroleofreflection.Harvard Educational Review, 72(2).230-253.
Sherin,M.G.(2007).Thedevelopmentofteachers’professionalvisioninvideoclubs.InR.Goldman,R.Pea,B.Barron,&S.Derry(Eds.)R.Goldman,R.Pea,B.Barron,&S.Derry, Video research in the learning sciences(pp.383-395). Hillsdale,NJ:Erlbaum.
Sherin,M.G.(2001).Developingaprofessionalvisionofclassroomevents.InT.Wood,B.S.Nelson,&J.Warfield(Eds.)Beyond classical pedagogy: Teaching elementary school mathematics(pp.75-93).Hillsdale,NJ:Erlbaum.
Sherin,M.G.,&Han,S.(2004).Teacherlearninginthecontextofavideoclub.Teaching and Teacher Education, 20,163-183.
Shulman,L.S.(1987).Knowledgeandteaching:Foundationsofthenewreform.Harvard Educational Review, 57,1-22.
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Wallach,T.,&Even,R.(2005).Hearingstudents:Thecomplexityofunderstandingwhattheyaresaying,showing,anddoing.Journal of Mathematics Teacher Education, 8(3),393-417.
Appendix IInterviewprotocolforpost-classreflectioninterview.
Before viewing clips:Howwasittousethecamerawhileteaching?a.Didyounoticethecameraonyourperson?b.Didyounoticewhetheryourstudentsbehaveddifferently?c.Didyoufeellikehavingtomakeadecisionaboutcapturingamomentimpactedyourteachinginanyway?d.Consideringthe30secondlimit,didyouuseanyparticularstrategyindecid-ingwhentosaveamoment?e.Howdidthedesignofthedeviceworkforyou,wasithardtotellifyouhadsuccessfullypushedthecapturebutton?
For each clip:(1)Whydidyoucapturethispart?Whatdidyouthinkwasgoingonthatwasinteresting?(2)Areyounoticinganythinginthisclipthatyoudidn’tseeinthemoment?
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(3)Wereyouawareofother things in themomentthataren’tvisible in theclips?
After all clips have been viewed:(1)Overall,didyoucapturewhatyouhadanticipated?(2)Wereyouusinganyparticularpre-formedcriteriaaboutthekindofclipsthatyouintendedtocapture?Didothercriteriadevelopasyouwereteaching?(3)Arethesethekindsofclipsthatwouldbegoodforavideoclub?Wouldyoucapturedifferentclipsifyouknewitwereforavideoclub?(4)Whatdoyouthinkyoumightwanttododifferentlywiththiscameranexttime?