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    Chapter1BeginningtoListenWhenthesemesterstarted,Iwasreadytobegincollectingdataformyactionresearch.Atthetime,

    however,Icouldnotforeseewheremyfindingswouldlead,orhowmyconceptofstudentvoicewould

    evolve.Iaminclinedtoapproachresearchinascientificmanner,preferringtohavethingswell

    organized,with

    prepared

    conditions

    that

    serve

    to

    validate

    anticipated

    outcomes.

    However,

    due

    to

    the

    unpredictablenatureofaclassroom,Iknewthatmyactionresearchwouldnotworkinthatfashion.

    Classroomscangetmessy,andIvelearnedthatoutcomescanbeanythingbutanticipated.Ialsoknew

    thatifInarrowedmyfocusonexpectations,Imightmissawealthofinsightsfromotherclass

    happeningswhilewaitingformyexpectationstomaterialize.Idecideditwouldbemoreappropriateto

    embracetheunpredictablenatureoftheclassroom,andtakeamoreopenmindedapproach,whereI

    collectdataandanalyzeittohelpmeinterpretwhatishappening.Atfirst,whichIwillexpandonbelow,

    Iwaslost,feelingincapableofextrapolatinginsightsordeterminingmynextsteps.Inretrospect,

    however,Icanidentifysomepowerfulthemesthatemergedfromthebeginning.

    Intheseearlystagesofmyresearch,Iassumedthatincorporatingstudentvoicesimplyentailedgetting

    feedbackfromstudentsthatIcouldusetodesignnewstructuresorreaffirmthechoicesIhadalready

    made.Thetwoimportantaspectstothisapproach,thatlaterevolved,dealtwithtrustandchoice.For

    somereason,whichIdonotentirelyunderstand,Ididnotbelievethatstudentswouldgivemehonest

    feedbackifIinvitedthemtodirectlyworkwithmetohelpbuildstructure.ThiswasjustsomethingthatI

    assumed,anddidnotpayanymindto.Asaresult,myconceptofbringingstudentvoiceintothedesign

    ofclassroomstructurewashavingthestudentsreflectontheirworkandexperiences,whichIwould

    lateranalyzeinanattempttoinformmynextsteps.Atthispoint,studentswereunawareoftheir

    involvement,andIwasultimatelymakingthechoicesastohowtomoveforward.ThefirstscienceactivityInthefirstweekofschool,Iwasanxioustobeginmyactionresearch,andhadthestudentsperforma

    laboratoryexercisethatIhopedwouldcontributetothetwolearninggoalsIhadformyscienceclass.

    Wespentabitoftimediscussingthestatesofmatter,andthebehaviorofparticlesineachona

    molecularlevel.Afterwards,Idocumentedthekeyconceptsintroducedinourdiscussiononthefront

    boardintheclassforthestudentstousereferenceastheyproceededtoperformthelaboratory

    exercise,hopingthattheywouldbeabletomakeconnectionstotheconceptsandtheirexperience.

    Fig.1pictureoffrontboardduringlabactivity

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    Theexerciseitselfwasdesignedtoprovidestudentswiththeflexibilitytoexploreandexperiment.I

    encouragedthemtodocumenttheirfindingsastheyworked,andmyhopewasthattheywouldmake

    connectionstotheconceptsthatwecovered.Ididnotwanttoleadthemtotheirconclusions,asifthis

    exercisewasonlyusefultovalidatewhatwehadalreadystatedinourdiscussion,butinsteadprovide

    them

    with

    open

    ended

    prompts

    where

    they

    could

    give

    their

    interpretation

    of

    what

    was

    occurring.

    It

    was

    guidedwork,butlessguidedthanacookiecutter,ortypicalprescriptedlab.IwassatisfiedthatIhad

    designedinfreedomtoexplore,butalsocreatedstructurestohelpstudentsachievethelearninggoals.

    BelowarethetwopagestothelaboratoryexercisethatIgavetothestudents,andtheyworkedin

    groupsof34.

    Properties and Phases of Matter Part I Properties and Phases of Matter Part II

    Learning goals: Experiment Design Exercise

    1. Develop a deeper understanding of matter and how itcan be described.

    Analysis of Solids and Gases Using Dry Ice

    As previously discussed, there is no space between molecules in a solid

    or a liquid. Relatively, there is much more space between molecules in

    a gas. But, how great is the distance between those molecules? Belowis are two example experiments designed to test this relationship using

    a substance called dry ice, or carbon dioxide in its solid state.

    2. Gain experience in using the processes of scientificinvestigation.

    Preparation of Oobleck: Mix water and cornstarch to an approximate

    ratio of 1:1.75

    At room temperature, dry ice undergoes a process ofsublimation,where a substance converts directly from a solid state to a gaseous

    state. Therefore, if we compare the volumes of a sample of dry ice and

    its solid and gaseous state, it will provide us insight to the magnitude of

    space between molecules in solids and gases.

    Oobleck

    So what is Oobleck? Consider yourselves the first people to find the

    substance known as Oobleck and your task is to describe it to the

    world. Use your scientific skills to critically analyze the material.Assign descriptive properties to your sample of Oobleck and then

    observe and record its behavior under different conditions. Simple Test

    Take a small piece of dry ice and place it into the beaker of water. What

    do you observe? Comment on the amount of gaseous carbon dioxide in

    relation to the amount of solid carbon dioxide.

    Initial Observations

    Describe the substance as best you can. Include intensive andextensiveproperties.

    Advanced TestingQuestion - Is it a solid or a liquid?

    Lets roughly attempt to quantify the amount of volume difference

    between solid and gaseous carbon dioxide.What properties does it possess that would have you think that it is aliquid?

    Steps:

    What properties does it possess that would have you think that it is a

    solid? Measure a small piece of carbon dioxide and record the

    volume (~1cm radius).

    (volume of a sphere= 4/3 r3)Investigation

    Put the piece of dry ice into a balloon and tie off the end.After you are convinced that the piece has completely

    sublimed, determine roughly the volume of the balloon

    using the same equation above.

    Prepare tests to determine under which conditions it acts as a solid or aliquid. For each test, list the actions taken, and the results.

    Analysis/Conclusion

    What is the simple ratio between solid and gaseous carbon dioxide?Up to date there have been many theories as to how Oobleck works.

    Based on your observations and knowledge of the phases of matter,propose an explanation to the mechanics behind its behavior. As a

    challenge, try to include insights of what is happening at a molecular

    level.Conclusion: How might this ratio help us understand more about thedistance between molecules in a gas? What forces may have been at

    work that could have affected the numbers we got for our simple ratio?

    Fig.2pagesfromlabhandout

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    Asstudentsperformedtheexperiment,IwantedtobeaslittleinvolvedaspossiblesoIcouldobserve

    themproceedontheirown.Usingthisformat,IfiguredthatIifIcoulddeterminethesuccesslevelof

    theclass,thenIcouldusethatasameasuretoevaluatetheeffectivenessofstructuringlabexercisesin

    thismanner.Iwrotemyobservationsasthestudentsprogressedthroughtheactivity,onlystoppingto

    facilitatethe

    transition

    from

    Part

    Ito

    Part

    II.

    Icouldclearlyseethatsomethingswereworking.Studentswereengaged,andenjoyingtheirtime

    playingwiththesubstances.Throughouttheentireactivity,Ididnotfindanyunengagedstudents.When

    theyfinishedinteractingwiththematerialsinonemanner,theywouldfindallkindsofotherwaysof

    manipulatingthem,manyofwhichIwouldhaveneverconsideredifIweretodictatewhattheyshould

    do.

    WhentheymadeOobleck,acombinationofcornstarchandwaterthatformsanonNewtonianfluid

    havingquicksandlikeconsistency,therewereavarietyofreactions.Somestudentsstartedtointeract

    withit,whileotherswerereluctant.However,assoonasonegrouphadpoureditoutonthetableand

    begantoplaywithit,allothergroupsfollowedsuit.Beforelong,everystudentintheclassseemedto

    havesomeintheirhandsandwasmanipulatingitinsomefashion.IdidntwanttomoveontoPartII,but

    wewererunningoutoftime,andtherewasamesstoclean.

    InotedinmyobservationsaboutthesocialeffectinthelaboratorysettingthatIjustwitnessed.The

    experimentationseemedtobeinfluencedbyothers.Studentswouldtakeanideafromanothertable

    andtryitforthemselves,oftenbuildingonit.ThistendencyoccurredagainduringPartII.Onegroupof

    studentsgrabbedanemptyaquarium,filleditwithwater,andputinsomedryice.Soonacloudlayer

    formed,andothergroupsofstudentscameforwardtoseewhatwashappening.Oneindividualgrabbed

    acanisterofbubblesoapandblewsomebubblesintothecloudlayer.Asthebubblesreemergedfrom

    thecloud

    and

    floated

    on

    top,

    there

    was

    acollective

    Whoooaaa!

    from

    the

    group.

    Itook

    the

    opportunity

    toaskthemwhatmightbecausingthat,andtheysoonagreedthatcarbondioxidegasisheavierthan

    air.AnothergroupgrabbedanErlenmeyerflask,filleditwithabitofwateranddroppedinapieceofdry

    ice.Theythenblewsomebubblesovertheflask,andwhenabubblecollidedwiththetop,itstuck,

    coveringtheopening.Becausedryicecontinuedturningtogasintheflask,anadditionalcloudybubble

    grewinsidetheoriginalbubblethathadstuckontop.Again,Iheardalong,drawnoutWhoooaaa!and

    Thatssocool!Anothergrouprepeatedthis,andasthecloudybubbleontheinsideformed,they

    decidedtoshootitwithalaserpointer.Ihavenoideawhytheychosetodothis,butitmadethewhole

    insidebubbleglowbrightred,andIfoundmyselfsayingWhoooaaa!.Theexperimentationinthe

    classroombecamecontagious,withstudentsfeedingoffofeachother,andmyselfidentifyinglearning

    opportunitiestoo

    fast

    to

    address.

    It

    seemed

    wrong

    to

    stop

    and

    clean

    up.

    Afterwards,Ilookedbackontheactivityandtriedtodeterminehowmyobservationsrelatedtomy

    actionresearch.IwonderedifIcouldevaluatethestructurethatIusedforperformingexperiments,and

    searchedmyobservationsforelementsthatcontributedtothesuccess.Itseemedliketheflexibilityin

    experimentationcontributedhighlytotheengagementlevel,butcouldIattributetheirengagement

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    solelytotheflexibility?HowwouldthingscompareifIweretodictatetheirexperimentation,orcreate

    rigidlearninggoals?

    Iwonderedabouttheflexibilityforsometime,andanotherthingoccurredtome.Iwasstruckbythe

    amountoflearningopportunitiesthatmaterializedthroughthedecisionsstudentsmadetointeractwith

    thematerials.

    Ifound

    myself

    watching,

    and

    wishing

    Ihad

    come

    up

    with

    many

    of

    their

    ideas.

    Ieven

    felt

    compelledtojoininandstartexperimentingmyself.Therewassomethingpowerfultothis,yetIhad

    difficultydefiningwhatthatwas.Ibecameconvincedthatflexibility,initself,wasausefulelementto

    structureintolabexperimentationmovingforward,bothforthestudentsandme,andIhopedthatI

    wouldeventuallyknowwhy.

    Wheremyobservationslackedwasthattheywerentverytellingwhenitcomestotheoverallsuccessof

    eachindividualinreachingthelearninggoalsoutlinedonthehandout.IdecidedthatIrequiredanother

    structuretohelpmeassessthis,soIcreatedablogandrequestedforstudentstodocumenttheir

    findingsasaresponsetopromptsIlisted(shownbelow).Ifeltthiscouldhelpmebetterviewindividual

    learning,whichwasdifficulttoascertainfrommyobservationsoftheirgroupwork.

    ForPartI:

    1.Doyoubelieve"Oobleck"isasolidoraliquid?

    Useyourobservations.

    Whatinformationdidyougatherfromyourexperiencewithitthatledto

    yourdecision?

    2.ProposeanexplanationtothemechanicsbehindOobleck'sbehavior.Trytouseinsightfrom

    yourunderstandingofmoleculesinsolidsandliquids.

    ForPartII:

    1.Whatdidyounoticewhenyouplacedapieceofdryiceintowater?

    2.Whatsimpleratiodidyoufind?

    3.Whatdoesthatsimpleratiotellyouaboutthedifferenceindistancesbetweenmoleculesin

    solidsandgases?

    YouonlyneedtosupplyaparagraphortwoforeachParttoaddressthesequestions.Itdoesnot

    havetobeahugereport justtrytomakeitclearandconcise.

    Fig.3blogreflectionprompts

    Thestudentshadtheweekendtorespondtotheblog,andIhopeditwasausefultoolincollectingdata,

    orprovidingaforumforstudentstosharetheirwork.Ilikedthatstudentscouldbenefitfromseeing

    eachothersworksothattheycouldgainabroaderperspectiveonwhatwehaddone.Irecallfeeling

    anxiouswhenIopenedituptocheckonMondaymorning,andwhenIlooked,therewere39responses.

    Ithoughtthatwasprettygood,butIalsowonderedabouttheother11studentswhodidnotpost.

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    AsIproceededthroughmymorningroutine,Ifoundthemissingwork.7studentsemailedmeabout

    havingtroublewithpostingtotheblog.4ofwhichcitedtechnicaldifficultiesand3werefeeling

    reluctanttosharetheirworkinapublicsetting.Theremaining4studentswereabsentduetoillness.

    TheirconcernshelpedmerealizethatIshouldofferalternativemethodsofturninginwork,andwhenI

    suggestedalternativeoptionsinclass,suchasturninginhandwrittenwork,thestudentsresponded

    positivelyto

    it.

    By

    that

    evening,

    Ihad

    responses

    from

    every

    student,

    minus

    the

    4students

    who

    were

    ill.

    Theblogseemedtobeuseful.

    NowthatIhadmyresponses,itwastimetoanalyzethelearning,andreflectonthelabstructurethatI

    used.Thechartbelowdetailstheresponsesthatthestudentsprovided.

    Althoughtheresponsesvaried

    greatlyintermsofgrammatical

    correctness,thestudentsdidwellin

    addressingthecontentassociated

    withthelearninggoals.Icantsayit

    wasveryexcitingevaluatingtheir

    work,though.Theirresponseswere

    verysimilar,andbecamefairly

    repetitiveaftersometime,asifI

    wasteachingandgradingtheirlevel

    ofmentaluniformity.IfeltlikeI

    shouldhavebeenhappyaboutthework,butIwasnt.Itisnotbecausetheydidntaddresstheprompts.

    Theydidthatquitewell,witheverythingIexpectedmostlybeingthere.Whattroubledmewaswhat

    wasntthere.TheydidnotincludeanyofthegreatthingsIobserved.NomentionoftheOobleckallover

    the

    tables,

    or

    the

    floating

    bubbles,

    or

    the

    laser

    bubbles

    as

    if

    these

    events

    had

    never

    happened.

    Fig.4distributionofstudentscores

    scoreof10

    28%

    scoreof9

    42%

    scoreof8

    16%

    scoreof7

    14%

    Inretrospect,thequestionsIposedwerenotveryreflective,andmoreevaluativeinnature.Therewas

    somuchlearningthatoccurredoutsidethescopeoftheseprompts,andIhadmystudentstakeno

    accountofit.InsteadtheyjustrepliedtothepromptsasIrequested,whichineffectwasmedictating

    andframingwhattheyshouldhavelearned.Thiscausedeverystudentexperience,otherthanonesthat

    contributedtoresponses,tobecomeinsignificant.Ihadguidedthemawayfromauthenticlearning.I

    didntwantthistohappenagain,andIwasdeterminedtothinkofwaystoacknowledgeallofthe

    learningthatoccursintheclassmovingforward,ultimatelydecidingthatinfuturelabexercisesIwould

    havethemjournalandshareouttheirexperiences.

    Theremay

    be

    aquestion

    about

    what

    Iwant

    students

    to

    learn

    from

    something

    like

    lazer

    bubbles,

    but

    I

    seetheseeventsasuniqueopportunitiestoconnectstudentlearningwithanauthenticexperience.The

    teacherstudentrelationshipwhensomethingisplannedisdifferentfromwhensomethingmaterializes

    duringaclassactivity. Intheformer,theteacheristhekeeperoftheknowledgewhichneedstobe

    passedontothestudent. Forthelatter,theteacherandthestudentarelearningsimultaneously,witha

    jointownershipoftheknowledgethatiscreated.

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    HeadingintoMath

    Ihadtoweighthedecisiontoconductmyresearchfortwosubjectsverycarefully.Iknewthatdividing

    myattentionintotwodisciplinesposedauniquechallenge,yetcouldpotentiallybenefitmywork

    greatly.Thechallengewasclear.Icouldeasilystretchmyselftoothintakingthisapproach,spendinga

    greatdeal

    of

    time

    gathering

    data

    that

    may

    not

    develop

    into

    coherent

    connections

    or

    lead

    anywhere.

    Eventually,Iwouldhavetofocusononesubjectwhilediscardingalltheworkfromtheother,settingme

    backquiteaways.

    Thepotentialbenefits,ontheotherhand,mademedecidethatitwasaworthwhileendeavor.Oneof

    thehopesIhaveformyresearchisthatmyworkandexperienceswillbevaluableforotherteachers,

    andinordertoreachthelargestaudienceofeducators,IknewthatIwouldhavetofindthemesand

    implicationsthatwouldapplyacrossdisciplines.BecauseIbeganbyusingmyChemistryclassasthe

    contextformyresearch,Iwasconcernedthattheimplicationsofmyfindingswouldapplysolelyto

    scienceeducation.IfIcouldexpandmyresearchintootherfieldsofinstruction,Imightgainmore

    powerfulinsights.

    Fortunately,IteachbothChemistryandMathtothesamegroupofstudents,soIcouldcapitalizeonthis

    opportunitytoinvestigatetheuseofstudentvoiceineachclass.Asanaddedincentivetotakethis

    approach,IknewthatasmyresearchprogressedIcouldimplementfindingsfromonesubjectinanother

    toassessinterdisciplinarysignificance.Thiswould,atleast,allowmetotriangulatethatdataIcollectin

    eachclasstovalidateanyemergingfindingsorthemes,orassistingeneralizinganyspecificsignificant

    momentsforbroaderapplication.

    ExtendingmyResearchtoMathclass

    The

    goals

    I

    had

    for

    my

    Math

    students

    were

    for

    students

    to

    gain

    fundamental

    skills,

    develop

    complex

    problemsolvingability,andlearnhowtobestprepareforformalsummativeassessments.Tofacilitate

    thelearningtowardsthesegoals,Idecidedtoscaffoldthework.Tobegin,thestudentswouldlearnbasic

    skills.Theywouldthenproceedontocombiningthebasicskillstheygaintodevelopsolutionstomore

    complexproblems.Lastly,thestudentswouldhaveasummativeassessmentintheformofaquizwhere

    theycouldindividuallydemonstratewhattheyhavelearned.

    Iintendedtofollowthisroutinethroughouttheyear,intwoweeksectionsoutlinedbelow.Inchoosing

    thisschedule,Iexpectedthatstudentswouldbecomefamiliarwiththesystemthatwewereusingand

    begintofocusontheirownapproachtolearning.

    Monday Tuesday Wednesday Thursday Friday

    Week1 Chemistry

    Math Introducenew

    concept(s)with

    worksheet

    Chemistry

    Math complex

    problemsolvingwith

    newconcept(s)

    Flex(Mathor

    Chemistryfocusas

    needed)

    Week2 Chemistry

    Math Introducenew

    concept(s)with

    worksheet

    Chemistry Math quizreview Mathquiz

    Fig.5structureforbiweeklyschedule

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    SimilartoChemistry,Ididnothavemuchtogoonwiththeinitialstructuringofclasswork,anddesigned

    theactivitiesstrictlybasedoffofmyowndiscretionastowhatIfeltwouldbeeffective.Inaddition,my

    conceptofstudentvoicehadevolvedlittlesofar,andIremainedcommittedusingstudentreflectionson

    theirworktoinformmynextsteps.Ididwanttochangemyapproachtogainingfeedback,however.

    Sincemyinitialresearch,Irealizedthatsuccesscancarrymanydefinitions,dependingonthe

    perspectiveof

    the

    person

    who

    is

    judging

    the

    criteria

    that

    contributes

    to

    success.

    As

    the

    teacher,

    Ijudged

    successastheleveltowhichstudentsachievedthelearninggoalsoutlinedinthehandoutduringthelab

    activity.Thestudents,ontheotherhand,mayhavejudgedtheirsuccessdifferently,attributingitto

    manyoftheotherexperiencestheyhadduringtheexperimentation.HadIonlyaskedthem,Imayhave

    gainedgreaterinsightintotheirperspectivesofsuccess,andalsowouldhavepreventedmakingtheir

    overallexperienceseemlesssignificant.Iwasintentonfindingwaystohavethestudentssharemore

    authentically,anddecidedthatfollowingthequizIwouldgiveasurveydesignedtogathermore

    introspectivefeedback,andthencomparethattotheirquizperformance.

    AnotherelementofstructurethatIwantedtocontinuewastoincludeflexibilityinstudentwork,

    allowingthem

    to

    determine

    what

    is

    necessary

    to

    contribute

    to

    their

    individual

    success.

    It

    proved

    valuableearlier,andIwascuriousaboutanyaspectsofstructuringflexibilitythatmightbeconsistenton

    aninterdisciplinarylevel.Ichosetoincludeacertainleveloflessguided,independentworktimeineach

    Mathday,andwouldmakeobservationstohelpgivemeasenseforthevalueofdoingso.

    Tuesday

    OnTuesdays,whennewfundamentalconceptsareintroduced,Iplannedtobegintheclasswitha

    discussionaboutthematerial,lastingroughlyhalftheblockperiod.Iwouldthengivestudentsasheet

    containingimportantdefinitions,examplesandpracticeproblemstoworkonfortheremainingtimein

    tablegroupsof45students,wheretheycouldchoosetoproceedinamannerthatbestsuitedthem.

    WhenTuesdaycame,Iwaspreparedtomakeobservationsaswebeganourdiscussion.Frommy

    perspectiveitallseemedtogowell.SomestudentstooknotesasItalked,whileothersdidnot.Some

    askedclarifyingquestions,andforthemostpart,everyoneappearedtobelistening.Iwasalmost

    convincedthattheyallunderstoodthelesson,untilIgavethemthesheettoworkon.Thedynamic

    changedquitedrastically,andInoticedthatmypreviousobservationswerenotaccurate.Iwas

    convincedduringthediscussionthatthestudentsweregraspingtheconcepts,yetitwasclearthatsome

    werestrugglingasIroamedthroughouttheroomandstoppedbytablegroupstogetacloserviewof

    theirwork.

    My

    experience

    with

    one

    student

    who

    was

    struggling

    struck

    me

    fairly

    hard,

    mainly

    because

    I

    didnt

    know

    whattomakeofit.AsIapproachedhertable,sheshiedtowardstheoppositecornerandmade

    adjustmentswithherbodytoshieldherwork.BeforeIcameover,Inoticedthatshewasworkingwell

    withherpeers,interactingwiththemfrequently.Itwaseasytoseethatshewasexperiencingdifficulty

    tacklingthepracticeproblems,yetwhenIaskedherifsheneededanysupportorassistance,shetoldme

    thatshedidntandeverythingwasfine.Buttomeitwasntfine.Shewasstruggling.Whywouldntshe

    wantmyhelp?

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    Thenitoccurredtomethatitwasntthematerialthatmatteredasmuchasitwasme.Shewasworking

    withherpeers,andIcouldhearhertalkingabouttheproblemsasImovedtoothertables.Therewas

    somethingaboutmeapproachingherthatcausedhertoshutdown.Ineverdidfindoutwhatitwas,but

    theexperiencehadadditionalsignificanceinmyresearch.Inanattempttoaddressthisencounter,I

    resolvedthatitwouldbenecessarytostructuremutliplewaysstudentscouldcommunicatechallenges

    ordifficulties,

    and

    work

    to

    build

    an

    ethic

    of

    support

    in

    my

    class

    by

    responding

    to

    the

    issues

    that

    would

    arise.Thismomentinitiatedthefirststepsinmovingtowardsanewconceptofstudentvoice,onethat

    involvesdirectfeedbackfromstudents.

    AnothersignificantrealizationemergedfrommeacknowledgingthatIwasincorrectinpresumingthat

    allstudentsweregraspingtheconceptsduringthelecture.Theflexibilityinthisactivitywasvaluablefor

    areasonotherthanallowingforstudentstoexplorelearningopportunitiesthatIcouldnotconceive.In

    thisinstance,itcausedmetoreflectmoreonmyselfasaneducator.Iwasconfidentthatthediscussion

    waseffectiveandstudentshadgraspedtheconcepts,butIcouldseefromthesecondpartoftheday

    thatmyperceptionswerefairlymisplaced.ThisbecameespeciallyevidentwhenIconsideredthegirl

    whorefused

    my

    help.

    If

    she

    wouldnt

    request

    help

    when

    Iapproached

    her

    in

    apersonalized

    manner,

    thenitisfairtoassumethatshewouldbeevenlessforthcominginfrontoftheentireclassduringa

    discussion.Ihadtakenthesilencetowardtheendofthediscussionasanindicationthatthestudents

    werereadytomoveon.

    IwonderedabouthowoftenmyjudgmenthasbeenoffandIwasunawareofit.Myconfidencewas

    shaken.Iwasinclinedtoprotectmyegoatfirst,notwantingtorecognizeanyshortcomings,butI

    eventuallyacceptedthatassessingtheclassbasedoffofmysoleperspectiveconstrainedmyviewof

    reality.IknewthatIwouldneedabroaderperspectiveonthelearningthatwasoccurringallthemore

    reasontoelicitdirectfeedbackfromstudents.

    Thursday

    ThetopicfortheweekwasthePythagoreanTheorem.Forthebeginningpartoftheclass,wereviewed

    thepracticeproblemsfromtheworksheethandedoutonTuesday.Afterwardswemovedontoour

    activityaimedatdevelopingcomplexproblemsolvingskills.Intentonprovidingmoreselfguidedwork

    time,Idesignedworkstationsforstudentstorotatethroughat10min.intervalsingroupsof45.Ichose

    10minutesbecauseIwantedstudentstohavetimeateverystationandalsotopresentnewscenarios,

    hopingthatitcontributetoengagementbykeepingtheworkfresh.Eachstationcontainedablank2x2

    whiteboardforthegrouptoworkontogetherastheydevelopedsolutions.Myguidingprinciplewasto

    preparequestionswouldbemoreopen,andencouragedivergentthinkingtowardstheconstructionof

    multiplesolutions,

    as

    opposed

    to

    direct

    application

    problems

    students

    encountered

    on

    Tuesday

    that

    typicallyhavefewersolutionroutes.Again,Imadeobservations,onlystoppingtofacilitatetherotation

    ofgroupstothenextstation.Iwasparticularlyinterestedinidentifyingbehaviorsassociatedwith

    collaboration,peersupport,andlevelsofparticipationamongstindividualswithintheirrespective

    groups.

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    Afterthefirstrotation,Iimmediatelysawanerrorinthedesignoftheactivity.Twogroupswerenot

    readytomoveon,namingmembersthatrequiredabitmoretimetogooverthesolutionthatthegroup

    devised.Ihadtomakeachoice,andneitheronewasideal.Icouldeitherhavethemholdtheirquestions

    andmoveon,orIcouldgivemoretimetotheentireclass.Ivaluedthecollaborationandpeersupport

    thatwasdemonstratedfromstudentstryingtohelpeachother,anddecidedthattherewouldbean

    additional2min.

    before

    rotating.

    As

    soon

    as

    the

    announcement

    was

    made,

    another

    group

    groaned

    in

    disagreement,andIoverheardonestudentsay,Imgettingbored.Thisistooslow.Theirentiretable

    wasfinishedandreadytomoveon.Havingthemwaithadanegativeimpactontheirexperience.

    LaterintheactivityInoticedthatthegirlIwroteaboutfromTuesdaywasdisengagedfromhergroup.

    OnTuesdaysheworkedwellwithhergroup,soIwascuriousastowhysheseemedtoremoveherself

    fromtheactivity.Idecidedtoapproachher,andthistimemoredelicately,attemptingtoappearless

    intimidatingandempathetic.IstartedthediscussionbysayingYouknow,sometimesteachersplan

    thingshopingthattheywillwork,butthisdoesntseemtobegoinggoodforeveryone.Whatdoyou

    thinkcouldmakethisworkbetter?Shesaidthatshecouldntspeakforothers,butemphasizedhow

    sheneeded

    more

    time

    to

    go

    over

    the

    earlier,

    fundamental

    material.

    Trying

    to

    tackle

    more

    complex

    problemsatthispointwastoodifficult.

    IrealizedthattherehadtobesomethingmoretotheflexibilityIdesignintoactivitiesasidefrom

    providingstudentstimetoexplorenewstudyandworkhabits.Theyhadthatfreedomwiththetable

    stations,buttheydidnthaveachoiceabouttheproblemstheyweredoingorthepacingofthework.To

    betrulyindependent,theyneededmorechoice.IcouldntseehowImightadaptthetablestation

    activitytoaccommodatethevaryingneedsofallstudents,andfeltthatImighthavetodiscardit

    altogetherandthinkofanotherwaytofacilitatethebuildingofcomplexproblemsolvingskills.

    ApproachingtheQuiz

    Iwentonwiththeremainingscheduleleadinguptothequiz.ThefollowingTuesdayweintroduceda

    newtopic,andstudentsreceivedasheettoworkonindependentlyoringroupsfortheremainderofthe

    blockasIroamedandprovidedsupportasneeded.OntheThursday,wereviewedthematerialfrom

    Tuesday,andthenproceededontoourreview.Ihadpreviouslyplannedtohaveaonesizefitsall

    reviewsessionwherewewouldwalkthroughproblemsasaclass,butwhenIconsideredmyexperience

    usingthetablestations,Irevisedmyapproachtoaccommodatemorestudentpreference.Ioffered

    manyoptionsforreviewandallowstudentstochoosetoworkwheretheyfeltnecessary.Onesectionof

    myclasswasdevotedtothefirstweeksmaterial,andanothersectionoftheclasstothesecond.I

    plannedonperformingthereviewasIhadplanned,butforstudentswhochosetogatheraroundmy

    desk.

    Theopenreviewstructureseemedtoworkwell.Studentsroamedtodifferentareasoftheclass

    throughouttheday,seekinghelpfrompeersormyself.Therewasagroupoffourstrongstudentsthat

    usuallyworktogether,yetInoticedthattheywerenttogetherduringthereview.Instead,theywere

    workinginvariouspartsoftheroomhelpingothers.Ididnotaskthemtodothis.Otherstudentsknew

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    thattheyunderstoodthematerialandwereactivelyseekingtheirhelp.Thiswasencouraging,andIfeel

    theopenformatmighthavecontributedtothesupportiveenvironment.

    Thefollowingdaywastimeforstudentstotakethequizcoveringthematerialthatwasintroducedover

    theprevioustwoweeks.SinceIhadscaffoldedtheworktoculminatewithanassessmentoftheir

    knowledge,Idetermined

    that

    the

    quiz

    would

    make

    afitting

    measure

    of

    the

    effectiveness

    of

    the

    structuresthatIhadinplace.

    OnceIhadcollectedallofthequizzes,Itooktheopportunitytocollectsomedata,andhadthestudents

    takeaquicksurvey(shownbelow).IwasbeginningtoseethatwhenIdirectlyapproachedstudents,I

    wouldgetveryusefulfeedback,butIwasstillnotcommittedtomakingthattransition,andwantedto

    continueusingamoreindirectapproach.Asbefore,Icannotrationalizethiscommitment,butIfeelthat

    itderivedfrommyreluctancetoshiftthebalanceofpowerintheclassroom.WhereIdidmakeashift

    wasthatthequestionsIaskedweremoreintrospective.IfiguredthatifIcouldgetfeedbackfrom

    studentsabouthowtheyfeltgoingintothequiz,thenIcouldcompareittotheiractualperformance,

    hopingtoseemoreclearlytheconnectionsbetweentheirperspectivesandtheiractualdevelopment.

    Thisstrategyusesthequizasthemeasureoftheirdevelopment,soIwasalsostillchoosingthecriteria

    forsuccess.

    Fig.6surveyforquizfeedback

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    OvertheweekendIgradedthequizzesandcompiledalloftheinformationfromthesurveys.I

    rememberedthinkingthatnowIhadsomesoliddata,feelingencouragedthatthereweresomeconcrete

    numberstoworkwith.Imadegraphs,anticipatingthatthemeswouldjumpoffthepageatmeonceI

    couldcomparethedatavisually.

    Ithought

    Iwas

    clever

    and

    tried

    to

    compile

    all

    of

    the

    data

    in

    one

    representation,

    which

    only

    served

    to

    makeafancymess(shownbelow).Eachsetoflinesrepresentsoneindividual.

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    Percentage(%)

    MorningClass AfternoonClass

    SurveyDataCompilation

    Linesformorningclassavg.(57),afternoonclassavg.(68),andtotalteamavg.

    (blue) studentscore (orange)selfpredictedscore

    (red) studentpreparation (green) confidencelevel

    averages

    Fig.7graph

    for

    compilation

    of

    survey

    data

    Thisrepresentationofthedatadidnttellmemuch.Theonlythingthatreallystoodoutwasthatthe

    afternoonclasshadscoredsignificantlyhigherthanthemorningclass(68%and57%respectively).So

    whatdoesthismean?Arethestudentsinmyafternoonclassstrongerinmaththanthemorningclass?

    Dostudentsingenerallearnmathbetterintheafternoon?Wasitme?WasIamoreeffectiveteacherin

    theafternoonthaninthemorning?Howdoesanyofthisrelatetomyactionresearch?

    Itwasatotalmess,andIwasntgettingmuchfromstaringatthegraph.Iwasntreadytogiveuponit,

    though,andfeltthatIjustneededtocomparethedatainamoresimplisticway.Thepurposeofthis,

    again,was

    to

    gain

    insight

    into

    any

    discrepancies

    between

    student

    perspectives

    and

    my

    own.

    Ithought

    thatitmightbehelpfultomakeadditionalgraphswhereIwouldpullouttwocategoriesofdata. Hoping

    thatconnectionswouldbecomeclearerbetweentheirperformanceandotherlistedfactors,Iprepared

    graphsfortheiractualscoresvs.studentselfpredictedscores,theiractualsoresvs.theirlevelof

    preparation,theiractualscoresvs.confidentlevels,andtheirconfidencevs.theirlevelofpreparation.

    BelowisoneexampleofthegraphsthatImade. Ichosenottoincludeallofthesegraphsinthissection

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    becausetheyledmetothesameconclusion,whichIwilldescribeingreaterdetailfollowingthegraph

    below.

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    Percentage(%)

    MorningClass AfternoonClass

    StudentScore

    vs.

    Self

    Predicted

    Score

    Linefortotalclassavg.(62.5%)

    (blue) studentscore

    (orange) studentselfpredictedscore

    averages

    Fig.8samplegraphfromsubsequentcomparisons

    Thedataitself,whencompared,seemedtobeinconclusiveinrepresentingsignificantconnections

    betweenthefactorsthatIwascomparing.Thisledmetoreconsidermydatacollectionmethods,and

    theconclusion

    Icame

    to

    was

    that

    my

    data

    may

    have

    been

    unrepresentative

    of

    actual

    student

    experiences.WhenIrevisitedhowIcollectedthisdata,Ibecameunsureifthestudentshadinterpreted

    thepromptsfromthesurveyasIexpected.Inlookatthetwoquestions,Howconfidentwereyou

    beforetakingthisquiz?andHowdidyoufeelaboutyourpreparationbeforetakingthequiz?,I

    wonderediftheseappearedasthesamequestiontothestudents.Ihadmyowninterprationtothe

    differences: Didtheyusetheirtimeeffectivelywhenpreparing?Didtheyhaveenoughsupportand

    resourcestoprepareeffectively?Didtheyfeeltheygraspedtheconceptswell?Didthestudentseven

    considerthesepoints?Therewasnowaytoknow.

    Soafterallofthisworkcollectingdataandanalyzingit,theonlyrealizationIcametowasthat

    individually,students

    may

    not

    accurately

    interpret

    the

    reflective

    questions

    Iposed.

    Iwondered

    ifthe

    studentswouldhaveabetterunderstandingifIaddressedtheclassasawholeandclarifiedany

    questionsthatthestudentsmighthave.Thisrealization,however,provedvitallyimportantasI

    progressedinmyresearch,becauseithelpedmovemetodecidetoelicitfeedbackfromstudentsmore

    directlyabouttheirexperiences,andalsoledmetoconsiderwaystoelicitmorequalitativedata.

    Atthispoint,Iwasntfeelingsogoodaboutmyresearch,andseemedtobeinaconstantstateof

    frustration.Asjustmentioned,Igatheredalotofdataaboutstudentexperiencesintakingthequiz,but

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    didnotfeelthatIgainedmuchinsightintotheirlearning,orhowtheotherstructuresinmyclasshad

    contributedtotheirpreparation.Icouldstareatthegraphsalldayandcomeupwithanincredible

    amountofthoughtsastowhattheyinfer,buteachinferenceImadewouldonlyleavemequestioning

    whetherornotImadeanaccurateanalysis,orevenaskedtherightquestions,requiringfurtherdata

    collectiontovalidate.Thiscouldgoonandon,withnoend!IrealizedIhadtofindawaytoobtaindata

    thatwas

    more

    consistent

    with

    my

    goals

    and

    directed

    towards

    the

    effectiveness

    of

    the

    structures

    in

    the

    classroom.

    Itallseemedtooccurtomeatonce.Whynotjustaskthestudentsabouttheiropinionsonhowtomake

    theclassbetter?Sofar,whenthingswerentworkingaswellasIplanned,orifIwasunsureifasituation

    wassignificant,Iwouldjustmaintaincourseandworkharder.AndthereIwas,dancingaroundtheidea

    ofaskingstudentsdirectlybycollectingtonsofdata,makinggraphs,andstrugglingtoseewhatitall

    means,whenIneededtojustchangecourse.Ishouldhaverealizedthisearlier.Aftermakingthegraphs,

    Icouldclearlyseethatstudentshadanaccurateperceptionofthework,soitisclearthattheirtakeon

    whathappensinclassisvaluable.IshouldhaverecognizedearlierinChemistry,whensomestudents

    requestedturning

    in

    work

    on

    paper,

    Iagreed,

    and

    that

    is

    the

    reason

    we

    now

    have

    abetter

    structure

    for

    turninginwork.IshouldhavealsoseenthatwhenIapproachedthegirlwhopreviouslyshiedawayfrom

    meandaskedherdirectlyregardinghowshefeltabouttheactivity,Iconnectedandgotsincere,useful

    feedback.Alloftheseinstanceswerepointingtooneconclusioninvitethestudentsintoadirect

    discussionabouttheirexperiencesintheclass,andalsocritiquethestructuresthatweuse.Myconcept

    ofusingstudentvoicehadevolved.