rich tasks presentation atmim spring 2016 - real world math€¦ · rich, real world tasks brian...

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TeachingwithRich,RealWorldTasksBrianMarks&LeslieLewis-Yummymath.com

BrianMarks&LeslieLewis2015

SessionGoals

• Whatarerich,realworldtasks?• Whyusethesetasks?•  HowdoIimplementthem?• WherecanIfindmoreofthesetasks?•  HowcanIcreatethemmyself?


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Whatdoyouwonder?


Howmanydonutsareinthisbox?Makeaquickguess.


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Whatelsewouldhelpyoudeterminethenumberofdonutsinthebox?



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Whenyoufinish:•  Canyoucommunicateyourmathreasoningtoothers?Bereadyto!

•  Whatothermethodscanyouusetosolvethisproblem?Findanotherway.

•  WhatotherquesXonsormathwonderingsdoyouhaveaboutthisproblem?

•  WhataremisconcepXonsormistakesstudentsmightencounterastheyworkthroughthisproblem?WhatwouldyousaytostudentstohelpthemmakesenseoftheirmisconcepXon?


SHAREPROBLEMSOLVINGSTRATEGIES

SeePrinciplestoAc/onsorhYps://www.mathedleadership.org/docs/coaching/PK-A-SMITH.pdf


5PracXcesforOrchestraXngProducXveMathemaXcsDiscussions[NCTM]

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Reveal


Nowthatyouknowhowmanydonutsareinthebox,whatnumberofrows,columnsandlayersofdonutscouldbeinthebox?


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Whatdoyouseeinthestudent’swork?




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WhatareRichTasks–HighDemand?•  NoclearstarXngpoint.•  MulXplesoluXonmethodsarepossible.•  Integratesvariousstrandsofmath.•  Lowfloorandhighceiling-studentscanreachvarious

levelsofsophisXcaXonintheirproblemsolving,butallstudentsareworkingwiththesamemainidea.

•  ThinkcriXcallytosolve.Notasimpleproblemtobetrainedtocomplete.

•  Providesopportunityforstudentstocommunicate,criXqueanddefendreasoning.


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


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


Havefun.


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Howdidwerunthislesson?

•  Howdidwekickoffthelesson?•  Whofiguredoutwhatmathtousetosolvetheproblem?

•  Whofiguredouthowtosolvetheproblem?•  Whodidthereasoning?•  Whoexplainedthemathtothegroup?


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


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


Itwon’talwayslooklikethis!


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StrugglingCanMeanLearning•  Thisislongtermwork!

CanbefrustraXng.•  Ifwedon’tletkids

grapplewithtoughproblemswhowill?

•  Catch&releasemoments.

•  Ifitappearslessonisn’tgoingwell,kidsmissingcontent:pause,addressgaps,return.


WherecanIfindrich,realworldtasks?Yummymath.com


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RichRealLifeMathTasksCreateMathConflict!SequelsorOriginals?

TimelyEvents!


RichRealLifeMathTasksProblemBasedLearningrelaJngtostudent’slives: PerplexingThreeActTasks


•  HowmuchwillmovieXcketscostinthefuture?

•  Doyouhavetextneck?

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RichmathwithreallifeconnecXons

•  Showthatmathiseverywhere!•  EngagestudentswithsubjectsthatmightbeinteresXngtothem…pop-culture,sports,tech,seasonalorXmelyevents.

•  Choosetopicsthatarefamiliarfromhomeorintheircommunity.


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/


rich tasks presentation atmim spring 2016 - real world math€¦ · rich, real world tasks brian...

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