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The Impact of the 2012 TNCore Math Training on Teaching Practices and Effectiveness
POLICY BRIEF NOVEMBER 2013OFFICE OF RESEARCH AND POLICY
CONTENTS
1 EXECUTIVESUMMARY
2 INTRODUCTION
3 BACKGROUND
4 DATA
6 FINDINGS
10 INTERPRETINGTHERESULTS
12 CONCLUSIONS
AcknowledgementsLauraNeergaardBookerwasprimaryauthorofthisreport.BradWalkerdesignedthereport.
Click here to view the Technical Appendix.
1 The Impact of the 2012 TNCore Math Training on Teaching Practices and Effectiveness
EXECUTIVE SUMMARY
Duringthespringandsummerof2012,theTennesseeDepartmentofEducationtrainedabout200CommonCoreCoacheswhothenwentontofacilitatesummertrainingsforthousandsofthestate’s
thirdthrougheighthgrademathteachers.Thefollowingsummer,thetrainingsessionsreachednearly30,000teachersacrossthestate,coveringmath,Englishlanguagearts,andliteracyinscience,socialstudies,andcareerandtechnicaleducation.
TheTennesseeCoreCoachtrainingmodelwasdesignedtodevelopanetworkofteacherswithadeepcontentandpedagogicalknowledgeoftheCommonCoreStateStandardswhocouldpasstheknowledgeontotheirpeersduringformaltrainingsessionsandinformalinteractionsthroughouttheyear.CoacheswereTennesseeteachersselectedviaacompetitiveapplicationandinterviewprocess.Coachesreceivedeightdaysofintensivegrade-leveltrainingprovidedbytheInstituteforLearningattheUniversityofPittsburgh,engagingwiththematerialfirstaslearnersandthenasteachertrainers.Coachesthendeliveredtrainingtoparticipantsatthree-day,grade-levelworkshopsheldthroughoutthesummer.
ThismemoprovidesthefirstanalysisoftheeffectivenessoftheTNCoretrainingonteacherpracticeandstudentachievement.Thefindingssuggestthatattendanceatthesummertrainingsessionsmadeasignificantdifferencetostudentachievementandteachereffectiveness,asmeasuredbybothobserverratingsandvalue-addedscoresbasedonstatewideTCAPmathtests.Theseresultsremainconsistentevenasweapplyevaluativeapproachesthatusemultipleyearsofteacherdataandcontrolforpriorscoresandschooleffects,suggestingthattheseresultsarenotbiasedbyparticipantselection.
KEY FINDINGS• WeconsistentlyfindpositiveandsignificanteffectsoftheTNCoremathtrainingonparticipants’
instructionalpracticeandontheireffectivenessatraisingstudenttestscores.Theseresultsremainconsistentusingmethodsthatcontrolforpreviousyearscores,school-levelinputs,andforthefixedcharacteristicsofteachers.
Participants’gainsonobservationscoreswereequivalenttoabouthalfofthegainsmadebytheaverageteacherbetweenthefirstandsecondyearofteaching.
Thegainsininstructionalpracticeratingswerelargestforthepracticesemphasizedinthetrainingsessions,includingskillssuchasquestioning,providingacademicfeedback,andteachingproblem-solvingtechniques.
Participants’gainsineffectivenessasmeasuredbytheTennesseeValue-AddedAssessmentSystem(TVAAS)translateintotheequivalentofapproximatelyoneextraweekoflearningforeachoftheirstudentsthanwewouldhaveexpectedhadtheynotattendedthetrainingsessions.
• ParticipantswhohadaCoreCoachworkingattheirschoolmadesignificantlygreaterestimatedincreasesinquestioningpracticescomparedtoparticipantswithoutthissupport.
• ForCoreCoaches,wefindsomeevidencethatthecoachingprocesswasassociatedwithimprovementsintheirownclassroomteaching;however,weareuncertainwhethertheseimprovementscanbeattributedtotheirroleascoaches.
2 The Impact of the 2012 TNCore Math Training on Teaching Practices and Effectiveness
INTRODUCTION
Overthenextseveralyears,45of50statesandtheDistrictofColumbiaareplanningtotransitiontoanewsetofinstructionalstandardsdesignedtoguideteachingineachgradeandsubject.TheCommon
CoreStateStandards(CCSS)aremeanttofocusontheskillsthatstudentswillneedtobereadyforcollegeandcareerandhelpourchildrenandourcountrystaycompetitive.However,thereisconsiderableevidencethatmanyteachersacrossthecountryfeelunpreparedtotakeontheincreaseddemandsofthesenewlearningstandards.1Forinstance,anationalsurveyfortheAmericanFederationofTeachersconductedinMarch2013foundthat44percentofteacherssaidtheirdistrictswere“somewhatprepared”or“notprepared”toimplementthestandards.Anothersurvey,conductedacross45states,foundthatlessthanone-fifthofmathteachersinthesamplehadreceivedmorethan20hoursofprofessionaldevelopmentrelatedtotheCCSS.2
TheTennesseeDepartmentofEducation(TDOE)hastakenauniqueapproachtoCCSSimplementationbysponsoringintensivestatewideprofessionaldevelopment(TNCoretraining)designedtoimprovestudentachievementbyeasingthetransitiontothenewstandards.Inthespringof2012,throughapartnershipbetweenthedepartmentandtheUniversityofPittsburgh’sInstituteforLearning,theTennesseeDepartmentofEducationselectedandtrainedabout200currentTennesseemathteacherstoserveas“CoreCoaches,”whowouldpreparetheirpeerstoteachthenewCommonCoreStateStandards.Thecontentofthetrainingfocusedonresearch-basedinstructionalshiftsthatwouldincreasestudentachievementinmathematics.Thatsummer,thousandsofthirdthrougheighthgrademathteachersparticipatedintheTNCoremathtrainingsessionsledbythefirstroundofstateCoreCoaches.In2013,thestateintensifieditscommitmenttothepeertraining,selectingandtrainingnearly700mathandliteracyCoreCoachestoleadtrainingsformorethan30,000educatorsacrossthestate.
Thismemooffersthefirstrigorousevaluationofthestate-ledeffortsatTNCoretraining.Wefocusontwocentralresearchquestions:
• DidservingasaCoreCoachleadtobetterclassroompracticeand/orgreatereffectivenessatraisingtheirownstudents’achievement?
• Didattendingthecoach-ledTNCoremathtrainingleadtobetterclassroompracticeand/orgreatereffectivenessatraisingstudentachievement?
WebeginwithsimplecomparisonsofoutcomesbetweenCoreCoaches,trainingparticipants,andnon-participants,movingtoaseriesofmorecomplexmodelstotestthevalidityoftheinitialconclusions.Acrossmodels,weconsistentlyfindpositiveandsignificanteffectsofthesessionsledbyCoreCoachesontheparticipants’observedinstructionalpracticeandontheireffectivenessatraisingstudenttestscores.Forcoaches,wefindsomeevidencethatthecoachingprocesswasassociatedwithimprovementsintheirownclassroomteaching;howeverweareuncertainwhethertheseimprovementscanbeattributedtotheirroleascoaches.
1 BillandMelindaGatesFoundation.(2012).Primarysources:American’steachersontheteachingprofession.NewYork:Scholastic,Inc.
2 Davis,J.,Choppin,J.,McDuffie,A.R.,&DrakeC.(2013).CommonCoreStateStandardsforMathematics:Middleschoolmathematicsteachers’perceptions.UniversityofRochester:WarnerCenterforProfessionalDevelopmentandEducation.
Many teachers
across the country
feel unprepared
to take on the
increased demands
of these new
learning standards.
3 The Impact of the 2012 TNCore Math Training on Teaching Practices and Effectiveness
BACKGROUND
Tennessee Core Coach Training Model
TheTennesseeCoreCoachtrainingmodelwasdesignedtodevelopanetworkofteacherswithadeepcontentandpedagogicalknowledgeoftheCommonCoreContentStandardsforMathematicsand
StandardsforMathematicalPracticewhocouldthenpasstheknowledgeontotheirpeers.CoacheswereTennesseeteachersselectedviaacompetitiveapplicationandinterviewprocess.Coachesreceivedeightdaysofintensivegrade-leveltrainingprovidedbytheInstituteforLearning.Byengagingfirstaslearners,coacheshadopportunitiestodeepentheirowncontentandpedagogicalknowledge,aswellastheirunderstandingofthewaysinwhichadultslearn.Duringthetraining,coachesengagedinmathlessonsandreflectedonthecontentlearned,howitwaslearned,andwhatsupportedthatlearning.Theyalsoanalyzedteachingandlearningthroughthelensofpedagogicalandcontenttools.Coachesthendeliveredtrainingtoparticipantsatthree-day,grade-levelworkshopsheldthroughoutthesummer.Aspartofthemodel,principalCoreCoacheswerealsoselectedandtrainedtoleadonedayoftrainingspecificallyforschoolleadersattendingthethree-daytraining.
Thetraininggiventobothcoachesandparticipantswasdesignedtochallengeteachers’assumptionsusingatransformativeapproach.Transformationfocusesondesigninglearningexperiencesthatchallengeparticipants’currentthinkingandoftenstartlethemintonewbeliefs.3Withinthetraining,thegoalwasforteacherstoengagedirectlywithstudentworkandassessthestrengthoftheircurrentteachingmethodswhilebeginningtheprocessofconstructingnewandmorepowerfulpractices.
Duringthecoach-ledtrainingsessions,coacheshelpedtheirpeersbetterunderstandnewfocusareasforgrades3-8mathbyworkingthroughhighlevelconstructedresponseassessmenttasksandfacilitatingmodellessonsusinganinstructionaltask.Participantswereaskedwhichcontentandpracticestandardswereaddressedthroughthetasksandlessons.Theydiscussedtheirideastodeepentheirunderstandingofthemeaningandexpectationsofthestandards.
Themethodofusingpeercoachestodeliverthetraininghasseveralpotentialadvantages.Thecoachesgainlastingknowledgethatshouldpositivelyinfluencetheirownteachingandstudents’learning.Thecoachesthenpassthatknowledgetoparticipantstoimplementintheirownpractice.Inaddition,thecoachesareavailableattheschoolanddistrictleveltosharetheirexpertisewithotherteacherstobroadentheimpactofthetraining.TDOEandtheIFLalsomadeallmaterialsusedinthetrainingavailableonlinetoeducators.Thesematerialsincludedconstructedresponseassessmenttasks,instructionaltasks,ataskanalysisguideusedtodeterminethecognitivedemandofwrittentasks,andexamplesoflessonstructureandroutines.
Itisworthnotingthatthismodelofusingdistrictpersonnelasteachertrainersmakesitmoredifficulttoevaluatetheresultsofthetraining.Uponreturningtotheirdistricts,CoreCoachesandparticipantswereoftenaskedtoprovidetrainingtoandsharematerialswithteacherswithintheirdistrictsandschoolswhodidnotattendthetraining(seeFigure1).Inthiscase,wewoulddetectlessofadifferenceinoutcomesbetweenthosewhodidanddidnotattendtraining,evenifthetrainingsactuallydidhaveapositiveeffectsinceourdatacannotentirelydistinguishbetweentrainingparticipantsandnon-participants.ThisphenomenonsuggeststhatourestimatedresultsmightbelowerthantheactualimpactoftheTNCoretraining.
Core Coaches Participants
Non-Participants
Figure 1. Who received the training?
3 Kaser,J.,Mundry,S.,Stiles,K.,&Loucks-Horsley,S.(2002).Leadingeverday:124actionsforeffectiveleadership.ThousandOaks,CA:CorwinPress.
By engaging first as
learners, coaches had
opportunities to deepen
their own content
and pedagogical
knowledge, as well as their
understanding of the ways
in which adults learn.
4 The Impact of the 2012 TNCore Math Training on Teaching Practices and Effectiveness
DATA
Common Core Math Coaches, Training Participants, and Non Participants
The194CommonCoremathcoachesin2011-12represented163schoolsin56districts.ThedarkblueinFigure2indicatesthecountieswherecoacheswerelocated,andthelightblueindicatescounties
thathadparticipantsbutnocoaches.OnlyonedistricthadnoCoreCoachesortrainingparticipants.MostCoreCoacheswereclassroomteachers,althoughsomeheldotherrolesinschoolsanddistricts,suchasinstructionalcoachesoradministrators.Inthisstudy,wefocusonCoreCoacheswhowereclassroomteachers.
Whileteachersfromprivateschools,schoolanddistrictmathcoachesandadministrators,anduniversity
instructorsattendedthetraining,thefocusofthisstudyisonparticipantswhoarepublicschoolclassroommathteachers.About6,000participantshadanobservationscorefrom2012or2013,meaningtheywereapublicschoolteacher.Theseparticipantsrepresentedalmost1,700schoolsacross135districts.About11percentoftheparticipantshadacoachlocatedintheirschool,andabout5percentofparticipantshadaprincipalwhoservedasaprincipalCoreCoach.Themajorityofparticipants(77percent)hadaschoolleaderwhoalsoattendedthetraining.
Non-participantsaremathteachersingrades3-8whodidnotattendthetraining.Teacherswereidentifiedasnon-participantsiftheyhadTVAASmathestimatesforgrades4-8from2011-12schoolyearorgrades3-8fromthe2012-13schoolyearbutwerenotontheparticipantlist.ThirdgradeteachersdidnothaveaTVAASestimatesin2011-12.
Outcome MeasuresWefocusontwocentralmeasurestoidentifytheeffectsofthe2012TNCoremathtrainingonteachingandlearning,teacherobservationratingsandameasureofteachercontributiontostudentachievement.Thesemeasuresareavailableaspartofthestatewideeducatorevaluationsystemfirstimplementedinthe2011-12schoolyear.Whiletheserepresentourbestsetofcurrentmeasures,itisimportanttonotethatstudentachievementismeasuredusingTennesseeComprehensiveAssessmentProgram(TCAP),andwhiletheTCAPtestshavebeenfocusedtomorecloselyaligntotheCCSS,theyarenotyetperfectlyaligned(seeFigure3).Thus,itispossiblethat,asaresultofthetraining,teachersmightbecomebetteratteachingtheskillsthatwillbetestedbythenextiterationofTennesseetestsbutthatarenotpickedupbythecurrenttests.
Classroom Instructional Practices.InTennessee,observationsofclassroominstructionalpracticescountas50percentofthestatewideeducatorevaluationsystem.Teachersareobservedmultipletimeseachyearusingastate-approvedobservationrubric.Mostdistricts(comprisingabout80percentofteachersstatewide)havechosentousethestateobservationrubricthatisbrokenintofourdomains:instruction,environment,professionalism,andplanning.Eachdomaincontainsmultipleindicators,scored1through5duringclassroomobservationswith5beingthehighestpossiblerating.Forthepurposesofthisstudy,we
No Participants or Coaches
Participants
Participants and Coaches
Figure 2. Tennessee Counties with 2012 Math Common Core Coaches
5 The Impact of the 2012 TNCore Math Training on Teaching Practices and Effectiveness
focusontheInstructiondomainandonthefourInstructionindicatorsthataremostalignedwithteachingpracticesemphasizedinthetraining:Questioning,AcademicFeedback,Thinking,andProblemSolving.Table1providestheaverageobservationscoresfor3-8mathteachersin2012-13.4
Teacher Effectiveness at Increasing Student Achievement.TheTennesseeValue-AddedAssessmentSystem(TVAAS)measurestheimpactschoolsandteachershaveontheirstudents’academicprogress.TVAAS,whichisbasedonstudentresultsfromtheTennesseeComprehensiveAssessmentProgram(TCAP),controlsforstudents’previousachievementlevelstoisolategrowthduringaparticularclassroomyear.Forteachersintestedgradesandsubjects,a1to5compositeTVAASscorecountsas35percentoftheteacherevaluationmodel.TVAASscoresforgrades3-8arecalculatedatthesubjectandgradelevelandmeasureprogressusing2009asthebaseyearcomparison.Table1alsoshowstheaverageTVAASscoreinstandarddeviationunits.5
4 2012-13classroominstructionalpracticemeansonlyincludeteacherswhoalsohave2011-12practicescores.
5 2012-13TVAASmeansonlyincludeteacherswhoalsohave2011-12TVAASscores.
MeanStandard Deviation Range
Instruction Domain 3.89 0.59 1 to 5
Questioning 3.74 0.71 1 to 5
Thinking 3.70 0.76 1 to 5
Problem Solving 3.69 0.82 1 to 5
Academic Feedback 3.82 0.71 1 to 5
TVAAS Level 3.74 1.41 1 to 5
TVAAS in SD units 0.70 1.00 -4.1 to 4.4
Table 1. Average 2012-13 Classroom Observation Ratings and TVAAS Scores
Challenges to Evaluating Professional Development
Thereareseveralsignificantchallengestoevaluatingtheeffectsof professional development (PD) on teaching and learning.Whilean idealevaluationwouldcomparea seriesof long-termoutcomes between two equivalent groups of teachers, one ofwhich had been randomly assigned to receive a certain set oftrainingsandoneofwhichhadgonewithoutthistreatment,PDrarely takesplace in thisway.As a result, anyevaluation facesseveralthreatstoitsoverallvalidity.
First,theoutcomemeasuresmaynotbealignedwiththetargetorfocusofthePD.Forexample,ifPDiscenteredondeepeningquestioningpractices,buttheoutcomemeasureevaluatesquestioningpracticesbasedonfrequencyratherthandepth,wemayconcludethatthePDhasnotbeeneffectiveeventhoughteachersaretrulychangingtheirpractice.
Second, it isdifficult toestablishanappropriatecomparisongroup.TeacherswhovoluntarilyattendPDsessionsmaystartatahigherlevelorhaveagreaterpropensitytoimprovethanthosewhochoosenottoattendpriortothetrainingitself.Moreover,teacherswhodid
notattend the trainingmay still receiveaspectsof the trainingthroughotherroutes.
Third, teachers may attend multiple training opportunities ormayreceiveothersupportsthatimpacttheirpractice,makingitdifficulttoisolatetheeffectsofasinglePDexperience.
Finally,changesinteacherpracticemaytaketime,meaningthatimmediate impacts are difficult to detect. Thismemouses thefollowingquestionstoguideourevaluationoftheTNCoremathtraining.
Questions to ask when evaluating PD:
1. Are the measures used to evaluate the PD aligned with the PD goals?
2. Who is the appropriate comparison group?3. What other supports do teachers receive that make it
difficult to determine the impact of PD?4. Have teachers had the time to integrate the PD into their
practice?
Figure 3.
6 The Impact of the 2012 TNCore Math Training on Teaching Practices and Effectiveness
FINDINGS
Figures4and5presentthe2012-13observationandTVAASscoresofcoaches,participants,andgrades3-8mathteacherswhodidnotparticipateinthetraining.6Asthefiguresshow,coachesscored
significantlyhigheronteacherobservationandTVAASthantrainingparticipantswho,inturn,scoredhigherthannon-participants,in2012-13afterattendingtheTNCoremathtraining.Theproblemwithjustexaminingoutcomesintheyearfollowingthetrainingisthatitdoesnotaccountforthedifferencesbetweencoaches,participants,andnon-participantsthatwerealreadyinplacebeforethetraining.Asfigures4and5show,observationandTVAASscoreswerealsohigherforcoachespriortothetraining,whichisnotsurprisingconsideringthatthesefactorswerepartofthecoachselectionprocess.Trainingparticipantshadsignificantlyhigherinitialaverageobservationscoresthannon-participantsbutsimilarinitialTVAASscores,suggestingeitherthatschoolleadersselectedteacherstoattendthetrainingwhotheyperceivedasbetterteachersorthoseteachersself-selectedintothetraining.
Togetattheimpactofthetraining,weneedtotakeonthiscomparisongroupproblembyfindingawaytocontrolforthesetofinitialdifferencesacrosseachtraininggroupthatmayhavecontributedtochangesinoutcomes(seeFigure3).
Method 1: Controlling for Past PerformanceToevaluatetheimpactofthe2012TNCoremathtrainingoncoaches’andparticipants’observationandTVAASscores,weneedtotakeintoaccountthedifferentstartingpointsofcoaches,participants,andnon-participantsinourstudy.Thus,weuseregressionanalysistoestimatetheimpactoftrainingon2012-13scorescontrollingfor2011-12scores.Regressionanalysisisamethodforestimatingtherelationshipamongdifferentfactors.Here,itprovidesanestimateofhowmuchoutcomeschangeifateachereitherservedasaCoreCoachorparticipatedinthetraining.Regressionanalysisalsoallowsotherfactorstobeheldconstant(i.e.,controlledfor).Thismeanswecancomparescoresbetweencoaches,participants,andnon-participants
4.11
4.63
3.80 4.23
3.66
4.24
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
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Observation TVAAS
Coaches Participants Non-participants
Figure 4. 2011-12 Observation Ratings and TVAAS Scores Before Training
6 Foreachoftheoutcomes,onlyteacherswhohadbothyearsofdataareincludedintheaverages.Moredataisavailableacrossbothyearsonclassroompracticesthanteachereffectivenessbecauseallteachers,regardlessofgradeorsubjectornumberofstudentstaught,receiveobservationscores.
7 Ingeneral,TVAASscoreswerelowerin2012-13than2011-12duetosmallergainsinstudenttestscores.
4.23 4.30 3.95 3.97 3.80 3.85
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
5.0
Observation TVAAS
Coaches Participants Non-participants
Figure 5. 2012-13 Observation Ratings and TVAAS Scores After Training7
7 The Impact of the 2012 TNCore Math Training on Teaching Practices and Effectiveness
in2013whileholdingconstanttheinfluenceofinitial2012effectivenessratings.Wealsocontrolledfortheteacher’sgradeandexperiencelevel.8
Holding2011-12observationscoresconstant,wefindthatbeingacoachoraparticipatinginthetrainingwasassociatedwithstatisticallysignificantincreasesinalloftheclassroominstructionalpracticesexamined.Thegainswereatleasttwiceaslargeforcoachesasforparticipants.Thisisnotsurprisinggiventhatcoachesreceivedmoreintensiveexposuretothetrainingviatheeightdaysoftraininganddeliveringthecontentinthesummersessions.Interestingly,therelationshipappearsevenlargerwhenwelookattheindividualindicatorsratherthantheinstructionaldomainoverall.Thissuggeststhatthetrainingmighthavebeensuccessfulinleadingteacherstoimplementtheteachingpracticesmostemphasizedinthetraining.
Onaverage,thismethodofanalysissuggeststhatservingasaCoreCoachwasassociatedwithathirdofapointincreaseonobservationscoresforteachersinpracticesforteachingproblemsolvingandaroundaquarterofapointincreaseonpracticesaroundacademicfeedback,studentthinking,andquestioning(seeFigure6).Themagnitudeoftherelationshipwassmaller,butstillstatisticallysignificant,forparticipants.Participantsgainedbetweenone-tenthandone-twentiethofapointacrossthefourinstructionalindicatorsandoverallinstructionaldomain.
Whenweusethesamemethodtolookateffectsonteachers’value-addedscores,wesimilarlyfindthatcoachingorparticipatinginthetrainingwasassociatedwithstatisticallysignificantincreasesin2012-13TVAASscores.9Servingasacoachwasassociatedwithaboutone-fifthofastandarddeviationincreaseinteachereffectivenessandparticipatinginthetrainingwasassociatedwithaboutone-twelfthofastandarddeviationincreaseineffectiveness(seeFigure7).MoredetailsaboutthemodelsandresultsarelocatedintheAppendix.
WhilethesefindingsprovidesomeevidencethatperhapsTNCoremathtrainingdidhavemeaningfuleffectsonteachingpracticeandstudents’achievement,thismethodofaddingcontrolsforteachers’startingpointsisnotsufficientforisolatingtheimpactofthetraining.Coaches,participants,andnon-participantsdonotnecessarilysharethesameteachingsupports(seeFigure3).Forexample,coachesandparticipantsmighttendtocomefromschoolsthatarehighlyinvestedintheCCSSandthathavedeployedahostofresourcestowardtheimplementationofthenewstandards,whereasnon-participantsmightinsteadbedrawnfromtheschoolsthatarefocusedonotherissues.Ournextmethodbuildsuponmethodonebycontinuingtocontrolforinitialstartingpoint,butalsotakingtheseadditionalconcernsintoaccount.
Figure 6. Estimated Difference in 2012-13 Observation Ratings for Coaches and Participants Compared to Non-Participants, Controlling for Past Performance
0.05
0.08
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0 0.1 0.2 0.3 0.4 0.5
Instruction
Academic Feedback
Questioning
Thinking
Problem Solving
Observation Rating (1 -5)
Coach
Participant
8 Abeginningteacherisdefinedashavingonlyoneortwoyearsofexperience(beingintheirsecondorthirdyearofteaching).Firstyearteacherswerenotincludedinthestudybecausetheydonothavepriorscores.
9 TVAASscoresarecalculatedatthegradelevelsoteacherswhoteachmultiplegradelevelsreceiveestimatesforeachgradelevel.Resultscouldbebiasedifteacherswhoteachmultiplegradesareeithermoreorlesslikelytoattendtrainingandmoreorlesslikelytobeeffective.Therefore,weweightedtheanalysistoaccountforthisvariation.
Figure 7. Estimated Difference in TVAAS Scores for Coaches and Participants Compared to Non-Participants, Controlling for Past Performance
0.08
0.22
0 0.1 0.2 0.3
Participant
Coach
TVAAS Performance (standard deviation units)
The Impact of the 2012 TNCore Math Training on Teaching Practices and Effectiveness
Method 2: Taking Environment into AccountThefollowingresultscontinuetocontrolforgradelevel,teachers’experiencelevelandtheirpreviousscoresonobservationandTVAAS,buttheyaddanadditionalconstraintinthatallcomparisonsoccuronlybetweencoaches,participants,andnon-participantswhotaughtwithinthesameschool.Thus,theeffectsofthetrainingaremeasuredonlyinschoolsthathadbothnon-participatingmathteachersandparticipatingmathteachersorcoaches.Thismodel,knownasaschoolfixedeffectsmodel,controlsforfactorsthatarethesamewithinschools,suchashavingthesameadministrativestaffconductingobservations,havingthesameschoolorientationtowardtheCommonCoreStateStandards,andteachingsimilarstudentpopulations.
Resultsfromtheschoolfixedeffectmodelsarequitesimilartoresultsofthebasicmodelspresentedabove,strengtheningthecasethattheseresultsactuallyrepresenttheimpactoftheTNCoremathtraining.
Inthecaseofteacherobservationratings,resultsaregenerallyunchangedwhenincludingschoolfixedeffects.Figure9demonstratesthemagnitudeoftheestimatedgainsinclassroomobservationratingsforteacherswhoeitherservedasCommonCoreCoachesorparticipatedintrainingsessionsascomparedwiththoseinthesameschoolwhodidnotattendthetraining.
Estimatesoftheprogram’simpactonteachervalue-addedalsolookquitesimilarwiththeadditionofschoolfixedeffects.Again,beingacoachwasassociatedwithaboutafifthofastandarddeviationincreaseinteachereffectiveness,whileparticipatinginthetrainingwasassociatedwithsmallerbutstillstatisticallysignificantincreases(seeFigure10).
TheseresultsaddconfidencethattheTNCoremathtrainingwassignificantlyassociatedwithimprovementsinteacherquality.Afinalconcern,however,isthatthedifferencebetweencoaches,participants,andnon-participantsliesnotintheirstartingpointorintheirenvironmentbutratherintheirlikelihoodofimprovementovertime.Inotherwords,coachesandparticipantsmightrepresentthegroupofteacherswhoaremorelikelytoachievetheseincreaseswithouttraining,whilenon-participantsmighthaveimprovedlesseveniftheyhadattendedthetraining.
What do improvements in classroom instructional practices mean for students?
• Studentsreceivedmorefrequent,high-qualityfeedback.
• Studentsreceivedinstructionindifferenttypesofthinking,suchasanalytical,creative,andresearch-basedthinking.Studentsalsoreceivedmoreopportunitiestoanalyzeproblemsfrommultipleperspectives.
• Studentswereaskedquestionsthatadvancedtheirunderstandingandaskedtociteevidencefortheirreasoning.
• Studentsengagedinactivitiesrequiringthemtouseavarietyofproblem-solvingstrategies,includingpredictingoutcomes,generatingideas,andimprovingsolutions.
Figure 8.
Figure 9. Estimated Difference in Observation Ratings for Coaches and Participants Compared to Non-Participants, Controlling For Environment and Past Performance
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0 0.1 0.2 0.3 0.4 0.5
Instruction
Academic Feedback
Questioning
Thinking
Problem Solving
Observation Rating (1-5)
Coach
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Figure 10. Estimated Difference in TVAAS Scores for Coaches and Participants Compared Non-Participants, Controlling For Environment and Past Performance
0.06
0.21
0 0.1 0.2 0.3
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Coach
TVAAS Performance (standard deviation units)
9 The Impact of the 2012 TNCore Math Training on Teaching Practices and Effectiveness
Method 3: Adjusting for Teacher CharacteristicsInbothpreviousmethods,ourcomparisongroupwasthegroupofteacherswhohadnotparticipatedinTNCoremathtraining,eitherascoachesorparticipants.However,thesemethodsdidnotallowustoconsiderthepossibilitythatcoachesandparticipantsmighthavemovedoncompletelydifferentpathstowardteachingimprovementthannon-participantsregardlessofthespecifictrainingtheyattended.
Here,weshiftcourseandcompareindividualstotheirownselvesintheyearsbeforetheyparticipatedintraining.Thismodel,knownasanindividualfixedeffectmodel,holdsconstantanythingwithinteachersthatdoesnotchangeovertime,therebycontrollingforunobservablecharacteristicssuchastheirlikelihoodforself-improvement.WeuseTVAASdatadatingbacktothe2007-08schoolyear.UsingmultipleprioryearsofTVAASperformanceallowsustoexaminewhethertheteachersimprovedmoreduringtheyearfollowingparticipationinthetrainingthanwewouldhaveexpectedgiventheirpreviousscores.10Sincestatewideteacherevaluationonlybeganin2011-12inTennessee,weareunabletoemploythismethodforteachers’observationratings.
Interestingly,theseresultsaredifferentthanthoseinprevioussections.Servingasacoachisnolongersignificantlyassociatedwithanincreaseinteachereffectivenessscores(seeFigure11).Whileourpreviousestimatesshowedthatcoaches’gainsonTVAASoutpacedparticipantsandnon-participants,theselaterresultssuggestthatthegainsmightnothavebeencausedbythecoachingexperience.Coacheswerealreadyonatrajectorytooutperformparticipantsandnon-participants,evenbeforethetrainingtookplace.
Atthesametime,theestimatesoftheimpactofthetrainingonTVAASscoresfortrainingparticipantsarenearlyidenticaltotheresultswereportedinprevioussections.Again,beingaparticipantasassociatedwithanincreaseofabout0.08standarddeviationsinteachereffectiveness.Inotherwords,trainingparticipantsimprovedsignificantlymorein2012-13thanwewouldhaveexpectedevenknowingtheirTVAASscoresfromthepreviousseveralyears.ThesematchingfindingsacrossmodelsprovideevidencethattheeffectwearedetectingcanbeascribedtotheTNCoremathtrainingthattheparticipantsattendedinsummer2012.
0.08
not significant
0 0.1 0.2 0.3
Participant
Coach
TVAAS Performance (standard deviation units)
Figure 11. Estimated Gains in TVAAS Scores for Coaches and Participants, Adjusting for Teacher Characteristics
10 Themodeladditionallyincludescontrolsforyearandgradeleveltoaccountfordifferencesinaggregatetrendsovertimebyyearandgradelevel.
Training participants improved significantly more in 2012–13 than we would have
expected even knowing their TVAAS scores from the previous several years.
10 The Impact of the 2012 TNCore Math Training on Teaching Practices and Effectiveness
INTERPRETING THE RESULTS
Eachmethoddescribedaboveusesadifferenttechniquetoaddressthechallengesofevaluatingprofessionaldevelopment.Sowhatcanweconcludewhenwelookacrossmodels?Coachesexperiencedgainsinobservationscoresandinstudentgrowthbuttheyappeartobeaselectgroupwhomayhavemadegreatergainsthantheirpeersin2012-13withorwithouttheirparticipationincoachingsessions.
Forthosewhoparticipatedinthetraining,wefindaconsistentandsignificanteffectofattendingthetrainingonboththeirinstructionandclassroomimpact.Participantsscoreaboutone-tenthofapointhigheronthe1-5observationscaleforvariousobservationindicators,andtheyrateabout0.08standarddeviationshigheronTVAASscoresthanwewouldhavepredictedabsentthetraining.
Nowthatwehaveevidencethatthetraininghadapositiveimpact,itishelpfultothinkabouttheimplicationsforstudents.Onewaytothinkabouttheimpactofthetrainingisbycomparingtheaverageeffectivenessofcoachestonon-coaches.Onaverage,coachesareaboutone-thirdofastandarddeviationhigherinteachereffectivenessthannon-coaches(i.e.,participantsandnon-participants).Afterattendingthetraining,participantsareestimatedtoimprovetheireffectivenessatincreasingstudentachievementby0.08orone-twelfthofastandarddeviation.Thismeansparticipantswouldbeabout25percentclosertocoaches’estimatedeffectivenessthantheywerebeforethetraining.Figures8and12alsoofferhelpinterpretingthemagnitudeoftheseresultsintermsthatoffermoreinsightintotheimpactoftheeffect.
InthetermsdescribedinFigure12—abouthalfofthedifferencebetweenafirst-andsecond-yearteacherasmeasuredbyobservationratings,andoneweekofstudentachievementasmeasuredbyTVAAS—thegainsthatparticipantsmadedonotseemparticularlylarge.Atthesametime,theserepresentresultsfromasinglethree-daytrainingsessionthatparticipantsattendedduringthesummermonths,andtheycontrastwithseveralotherrigorousstudiesofrecentprofessionaldevelopmentinitiativesthathavefoundnosignificanteffectsonteachingorlearning.11Moreover,the2012trainingevaluatedhererepresentedthefirsttimethatthestateattemptedsummertrainingsessionsatsuchscale,withthesubsequent,largertrainingin2013benefitingfromseverallessonslearnedduringtheprevioussummer.
How large are the effects?
Classroom Instructional Practices. On the 1-5 observationscale,CoreCoachesscoreaboutone-thirdofapointhigherandparticipants scoreaboutone-tenthofapointhigher comparedtonon-participants.Whilethesegainsmayseemquitesmall,itisimportanttonotethatobservationscoresforTennesseeteacherstend to rangebetween threeandfive,meaning thataquarter-point gain can be quite meaningful. Another way of thinkingaboutthegainisbylookingataveragedifferenceacrossteachercohorts. Theone-thirdofapointpredictedchangeincoaches’problem solving scores is about the same size as the average increase on problem solving for teachers in their second year compared to their problem solving scores in their first year. Themagnitude of the impactwas smaller for participants. Forexample, participants are associated with a 0.08 increase inacademic feedback. This is abouthalf the size of the average increase in academic feedback for second year teachers.
Teacher Effectiveness. Wedrawon learningtime calculationsusedbyTheEducationTrusttointerpretourfindings. Researchexaminingstudentachievementonanationallynorm-referencedtest reported expected increases, on average, by about 0.42standarddeviations inmathover thecourseofacalendaryear.ResearchconductedbySASInstitute,Inc.foundthatinTennesseea one standard deviation (SD) increase in teacher effectivenessresultsina0.15to0.22SDincreaseinstudentachievement.Usingthe lower estimate, a one SD increase in teacher effectivenessis associated with an increase in student outcomes of about0.15standarddeviations,whichequatestoabout3.5monthsoflearning inmath. Using this interpretation, being a core coach was associated with student achievement gains of about three weeks and participating in the training was associated with student achievement gains for about one week. If the higherestimateof the relationship between teacher effectiveness andstudentachievementwasused, theestimated impactwouldbe4.2weeksofstudentachievementforstudentsofCoreCoachesand1.6weeksofstudentachievementforstudentsofparticipants.
Figure 12.
11 Yoon,K,S.,T.,Lee,S.W.Y.,Scarloss,B.,&Shapley,K.L.(2007).Reviewingtheevidenceonhowteacherprofessionaldevelopmentaffectsstudentachievement.NationalCenterforEducationalEvaluationandRegionalAssistance,InstituteofEducationSciences,U.S.DepartmentofEducation
11 The Impact of the 2012 TNCore Math Training on Teaching Practices and Effectiveness
Importantly,thecalculationsabouttheeffectsofthetrainingonstudentachievementalsoallowustoprovidearoughcost-benefitcalculationusingdatafromotherresearchstudiesabouttheeconomicimpactofhigherstudenttestscores.Whilethecost-benefitprojectionsrequireseveralassumptions,theyalsoofferausefulgaugeastowhetherthestateisspendingitsRacetotheTopdollarswisely.
Thetotalcostofthe2012summermathtrainingwasabout$3.2million.Thisincludedmaterials,trainingsitescosts,lodgingfortrainers,andpaymentstoCoreCoachesforleadingthetrainingsessions.Weestimatethatthetrainingwasprovidedtoabout6,000publicschoolteachersinthestateofTennessee.Thus,thecostaveragestoabout$500perteacher.12Hanushek(2004)calculatesthataonestandarddeviationincreaseinstudentachievementtranslatesintoabout$60,000increaseinlifetimeearnings.13Wefoundthatparticipatinginthetrainingwasassociatedwith0.08standarddeviationincreaseinteachereffectivenessora0.01increaseinstudentachievement.Therefore,studentsofteacherswhoparticipatedinthetrainingwouldbeexpectedtoexperienceabouta$600lifetimeincreaseinearnings.Ifthe6,000teacherswhoattendedthetrainingtaughtabout30studentseach,thiswouldtranslateintoabout180,000studentsearninganadditional$600overtheirlifetimeor$108million.Thisestimatedbenefitisbasedonasingleyearofimprovedteachereffectiveness.Weexpectthattheimprovementsattributedtothetrainingwouldcontinuetobenefitstudentsofteacherswhoattendedthetraininginfutureyears.Whilethesecalculationsprovideausefulmethodofestimatingthefinancialbenefitofthetraining,theyarejustestimatesandshouldbeinterpretedwithcaution.
Impact for Participants with Access to Coaches at their SchoolItisalsousefultothinkaboutwhethertherewereparticularattendeeswhobenefitedmostfromthetraining.BecauseCommonCoreCoacheswerealsoTennesseeteachers(andprincipals),theparticipantswhohadcoachesactuallyworkingintheirschoolslikelyhadgreateraccesstoongoingfeedbackandsupportforimplementingtheprinciplesofthetrainingthanthosewhoonlyattendingthethree-daysummertraining.Thissectionaddressesthequestion:Didparticipantsincoachschoolsbenefitfromthetrainingmorethanparticipantsinnon-coachschools?
SincehavingaccesstoaCoreCoachwouldbethesameforallparticipantsinthesameschool,weareunabletouseaschoolfixedeffectsapproachcomparingteachersinthesameschool.Therefore,weusedadistrictfixedeffectsspecificationthatcomparesteachersinthesamedistricttoeachother,accountingfordifferencesinsupportsthataresimilaracrossdistricts.WecomparedparticipantswithCoreCoachesintheirschoolstoparticipantswithoutCoreCoachesintheirschools.
ParticipantswithaCoreCoachattheirschoolhadsignificantlygreaterestimatedincreasesinquestioningcomparedtoparticipantswithoutthissupport.Participantswithcoachesintheirschoolswerepredictedtoimprovequestioningpracticesby0.08comparedtoparticipantswithoutaccesstocoaches.Thedifferencesinpredictedincreaseswerenotstatisticallysignificantbetweenthetwoparticipantgroupsfortheotherinstructionalpractices.Thus,weconcludethathavingaccesstoaCoreCoachwasassociatedwithgreaterimprovementsinquestioningpracticesfortrainingparticipants.Weconductedasimilaranalysistolookattheimpactforparticipantshavingaccesstoacoachonteachereffectivenessoutcomes.However,duetothesmallersamplesizeofteacherswithTVAASscoresfrombothyears,thegroupsofparticipantswithandwithoutcoachesattheirschoolsweretoosmalltodetectdifferences.
12 Whilethe2012summertrainingactuallyservedabout13,000participants(includingschoolanddistrictleadersandotherpersonnel),wearemostinterestedintheimpactofthetrainingonclassroomteachers’instructionalpracticesandeffectivenessatincreasingstudentachievement.Therefore,wecalculatethecostoftrainingforjustTennesseepublicschoolclassroomteachers.
13 Hanushek,E.A.(2004).Somesimpleanalyticsofschoolquality(No.w10229).NationalBureauofEconomicResearch.
12 The Impact of the 2012 TNCore Math Training on Teaching Practices and Effectiveness
CONCLUSIONS
ThismemoreportsontheresultsofastudyoftheimpactofTennesseeDepartmentofEducationledtrainingsessionsforgrades3-8mathteachersacrossthestateinthesummerof2012.Usingavariety
ofanalysistechniques,weconsistentlyfoundastatisticallysignificantrelationshipforattendingthethree-daytrainingsessiononteachers’instructionalpracticesintheareasofquestioning,feedback,problemsolving,andthinking,andonteachers’contributionstostudentachievement.Thoughthemagnitudefindingsmayappearsmallforanindividualteacher,whencompoundedacrossthe6,000participantswhoeachteachnumerousstudents,thetrainingseemstohavehadagreatbenefitforstudentsinTennessee.
Whilewehavetakenanumberofstepstoidentifythetrueimpactofthetraining,itisimportanttorememberthatthechallengesofevaluatingprofessionaldevelopmentmakethistaskdifficult.Duetothenatureofthetrainingmodel,wecannotbecertainwhethernon-participantsaretherightcomparisongroupassomenon-participantsmayhavereceivedaccesstothetrainingprinciples.Ifsomenon-participantsreceivedthetrainingandtheirpracticesimprovedasaresult,thiswouldbiastheestimateoftheimpactofthetrainingoncoachesandparticipantsdownward,meaningthattheimpactcouldbelargerthanweareestimating.Additionally,wemayseeagreaterrelationshipforattendingthetrainingonteachereffectivenessifstudentachievementwasmeasuredwithanassessmentthatwasmorecloselyalignedwiththeCommonCoreStateStandards.
Lastly,thetrainingwasdesignedtoshiftteachers’thinkingaboutteachingandoftenteachersneedtimeforthisshifttotakeplaceandtointegratethelessonslearnedfromthePDintotheirpractice.Ourinvestigationfocusedononlytheinitialyearafterthetraining.However,itmayactuallytakelongerthanayearforteacherstochangetheirpracticeandforthosechangestoresultinincreasesinstudentachievement.Therefore,itisimportanttocontinuetoinvestigatethelong-termimpactsofthetraining.
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