TakingAction:ImplementingEffectiveTeachingPracticesinGrades9-12NCTM/NCSM2017AnnualMeetingsMelissaBostonandFredDillon

EffectiveMathematicsTeachingPractices

Establishmathematicsgoalstofocuslearning.Effectiveteachingofmathematicsestablishescleargoalsforthemathematicsthatstudentsarelearning,situatesgoalswithinlearningprogressions,andusesthegoalstoguideinstructionaldecisions.

Implementtasksthatpromotereasoningandproblemsolving.Effectiveteachingofmathematicsengagesstudentsinsolvinganddiscussingtasksthatpromotemathematicalreasoningandproblemsolvingandallowmultipleentrypointsandvariedsolutionstrategies.

Useandconnectmathematicalrepresentations.Effectiveteachingofmathematicsengagesstudentsinmakingconnectionsamongmathematicalrepresentationstodeepenunderstandingofmathematicsconceptsandproceduresandastoolsforproblemsolving.

Facilitatemeaningfulmathematicaldiscourse.Effectiveteachingofmathematicsfacilitatesdiscourseamongstudentstobuildsharedunderstandingofmathematicalideasbyanalyzingandcomparingstudentapproachesandarguments.

Posepurposefulquestions.Effectiveteachingofmathematicsusespurposefulquestionstoassessandadvancestudents’reasoningandsensemakingaboutimportantmathematicalideasandrelationships.

Buildproceduralfluencyfromconceptualunderstanding.Effectiveteachingofmathematicsbuildsfluencywithproceduresonafoundationofconceptualunderstandingsothatstudents,overtime,becomeskillfulinusingproceduresflexiblyastheysolvecontextualandmathematicalproblems.

Supportproductivestruggleinlearningmathematics.Effectiveteachingofmathematicsconsistentlyprovidesstudents,individuallyandcollectively,withopportunitiesandsupportstoengageinproductivestruggleastheygrapplewithmathematicalideasandrelationships.

Elicitanduseevidenceofstudentthinking.Effectiveteachingofmathematicsusesevidenceofstudentthinkingtoassessprogresstowardmathematicalunderstandingandtoadjustinstructioncontinuallyinwaysthatsupportandextendlearning.

NationalCouncilofTeachersofMathematics.(2014).Principlestoactions:Ensuringmathematicalsuccessforall.Reston,VA:Author.WritingTeam:SteveLeinwand,DanielJ.Brahier,DeAnnHuinker,RobertQ.BerryIII,FrederickL.Dillon,MatthewR.Larson,MiriamA.Leiva,W.GaryMartin,andMargaretS.Smith.http://www.nctm.org/principlestoactions

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