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TeachingwithRich,RealWorldTasksBrianMarks&LeslieLewis-Yummymath.com
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SessionGoals
• Whatarerich,realworldtasks?• Whyusethesetasks?• HowdoIimplementthem?• WherecanIfindmoreofthesetasks?• HowcanIcreatethemmyself?
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Whatdoyouwonder?
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Howmanydonutsareinthisbox?Makeaquickguess.
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Whatelsewouldhelpyoudeterminethenumberofdonutsinthebox?
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Whenyoufinish:• Canyoucommunicateyourmathreasoningtoothers?Bereadyto!
• Whatothermethodscanyouusetosolvethisproblem?Findanotherway.
• WhatotherquesXonsormathwonderingsdoyouhaveaboutthisproblem?
• WhataremisconcepXonsormistakesstudentsmightencounterastheyworkthroughthisproblem?WhatwouldyousaytostudentstohelpthemmakesenseoftheirmisconcepXon?
BrianMarks&LeslieLewis2015
SHAREPROBLEMSOLVINGSTRATEGIES
SeePrinciplestoAc/onsorhYps://www.mathedleadership.org/docs/coaching/PK-A-SMITH.pdf
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5PracXcesforOrchestraXngProducXveMathemaXcsDiscussions[NCTM]
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Reveal
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Nowthatyouknowhowmanydonutsareinthebox,whatnumberofrows,columnsandlayersofdonutscouldbeinthebox?
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Whatdoyouseeinthestudent’swork?
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Whatdoyouseeinthestudent’swork?
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Whatdoyouseeinthestudent’swork?
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Whatdoyouseeinthestudent’swork?
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WhatareRichTasks–HighDemand?• NoclearstarXngpoint.• MulXplesoluXonmethodsarepossible.• Integratesvariousstrandsofmath.• Lowfloorandhighceiling-studentscanreachvarious
levelsofsophisXcaXonintheirproblemsolving,butallstudentsareworkingwiththesamemainidea.
• ThinkcriXcallytosolve.Notasimpleproblemtobetrainedtocomplete.
• Providesopportunityforstudentstocommunicate,criXqueanddefendreasoning.
BrianMarks&LeslieLewis2015
Whatdoestheresearchsay?• TheQUASARProject:StudentlearningisgreatestinclassroomswherethetasksconsistentlyencouragehighlevelthinkingandreasoningandleastwherethetasksarerouXneinnature(Boaler&Staples2008,;Herbert&Werne1993;Stein&Lane,1996).
• TIMMSVideoStudy:Higher-achievingcountriesimplementedagreaterpercentageofhighleveltasksinwaysthatmaintainedthedemandsofthetask(SXgler&Hiebert,2004).
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ResearchonRealWorldConnecXons• “Effec/veteachersunderstandhowcontexts,culture,condi/ons
andlanguagecanbeusedtocreatemathtasksthatdrawonstudents’priorknowledgeandexperiences.”–PrinciplestoAcXons
• “Schoolsneedtoassistat-riskstudentsbyprovidingexperiencesthatshowabstractconceptsaredrawnfromandappliedtotheeverydayworld.”–TheFiveStandardsofEffecXvePedagogy
• Cogni/vescien/sts,behavioristsandpsychologicalanthropologistsagreethatschoollearningismademeaningfulbyconnec/ngittostudents’personal,familyandcommunityexperiences.”–TheFiveStandardsofEffecXvePedagogy
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EngagementPeekstudentscuriosity!Whenkidsareyoungtheyaskover300quesJonsaday,bymiddleschooltheyaskalmostnone.Let’strytochangethatwithrich,engagingtasksthatmaybeofinteresttostudents.
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Howtoimplementrichtasks(Xps)
Itisalongtermeffort.CulXvateacommunityaroundtheseclassroomnorms…Posterfrom:hYps://www.youcubed.org/wp-content/uploads/2015/08/Norms-Poster-2015-UK.pdf
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Mindset
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Havefun.
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Howdidwerunthislesson?
• Howdidwekickoffthelesson?• Whofiguredoutwhatmathtousetosolvetheproblem?
• Whofiguredouthowtosolvetheproblem?• Whodidthereasoning?• Whoexplainedthemathtothegroup?
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ImplementaXonTips• TeachersolvestheproblemmulXpleways&considermisconcepXonsaheadofXme.
• StartwithindependentthinkXme.• Whilegroupswork,focusonstudentreasoning,notanswers.Monitorstudentstrategiesforwholeclasssharing.
• Bestrategicinwhatissharedwholeclass(compare&contrastmulXplemethods,connectideas,considermisconcepXons,formoreseefivecomponentsfacilitaXngmathdiscourse).
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Whenworkingwithstudents• Resiststeppingin.• Listen,listen,listen&askquesXonsbasedonstudentreasoning.
• Convinceme!-Leinwand• Praiseeffortandperseverance.-PrinciplestoAc/onsChapterOne
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Discourse!
RichTasksofferanopportunityfordiscourse.
• StudentsneedtobeabletocommunicatetheirmathemaXcalideasclearly.
• Learnersneedtobeabletopersevereevenwhenothersdonotunderstandoragree.
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Promotediscoursewithtalkmoves:1. Re-voicing(teacherclarifies,rewords)2. Askingstudentstorestatesomeoneelse’s
reasoning.3. Askingstudentstoapplytheirownreasoning
tosomeoneelse’sreasoning(doyouagreeordisagree?)4. PrompXngstudentforfurtherparXcipaXon
(wouldsomeaddontothat?)
5. UsingwaitXme…encouragethinking.See Math Solutions: The Tools of Classroom Talk
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Itwon’talwayslooklikethis!
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StrugglingCanMeanLearning• Thisislongtermwork!
CanbefrustraXng.• Ifwedon’tletkids
grapplewithtoughproblemswhowill?
• Catch&releasemoments.
• Ifitappearslessonisn’tgoingwell,kidsmissingcontent:pause,addressgaps,return.
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WherecanIfindrich,realworldtasks?Yummymath.com
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RichRealLifeMathTasksCreateMathConflict!SequelsorOriginals?
TimelyEvents!
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RichRealLifeMathTasksProblemBasedLearningrelaJngtostudent’slives: PerplexingThreeActTasks
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• HowmuchwillmovieXcketscostinthefuture?
• Doyouhavetextneck?
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RichmathwithreallifeconnecXons
• Showthatmathiseverywhere!• EngagestudentswithsubjectsthatmightbeinteresXngtothem…pop-culture,sports,tech,seasonalorXmelyevents.
• Choosetopicsthatarefamiliarfromhomeorintheircommunity.
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WherecanIfindrich,realworldtasks?
• YummymathhYp:/www.yummymath.com/
• DanMeyer’sThreeActTaskshYp://blog.mrmeyer.com/
• RobertKaplinskyProblemBasedLessonshYp://robertkaplinsky.com/lessons/
• GeoffKrall’sProblemBasedLearningMaps:hYp://emergentmath.com/my-problem-based-curriculum-maps/
• GrahamFletcher’sThreeActTasks-hYp://gfletchy.com/3-act-lessons/
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