A Multiple Choice Look at K-6 Math Instruction · •I’m going multiple choice. So this is how...

26
A Multiple Choice Look at K-6 Math Instruction Marian Small May 2017

Transcript of A Multiple Choice Look at K-6 Math Instruction · •I’m going multiple choice. So this is how...

AMultipleChoiceLookatK-6MathInstruction

MarianSmallMay2017

Inthespiritof…• Andnowforsomethingcompletelydifferent….

• I’mgoingmultiplechoice.

Sothisishowit’sgoingtowork

• Iamgoingtopresenta“scenario”,“situation”,“issue”,andtherewillbefourchoicesintermsofhowyouwouldrespondorwhatyouwouldbelieve.• Thereisprobablymorethanonegoodanswer,butitwillbefuntoseehowweagreeanddisagree.

Itwillbefunif…•Wecanusepolleverywheresowecananonymouslyandvisuallyshowsomeofyourleanings.

Startingtheschoolyear

• Thebesttopicforstartingtheyearis:• A)anumbertopic• B)afuntopic• C)anewtopiceveryyearjusttoexperiment• D)pattern(elem)oralgebra(sec)

Theperfect60min3-partmathlesson

• Theperfect60minutemath3-partmathperiodis:• A)10minactivation/25minproblem/15minutesconsolidation/10minpractice• B)10minactivation/20minproblem/20minutesconsolidation/10minpractice• C)isvariable,notalwaysthesame• D)10minnumbertalk/10minactivation/20minproblem/10minjournalentry(consolid nextday)

Problemsolvingstrategyformat

• A)Aconsistentproblemsolvingstrategyformatisessential.• B)Studentsshouldchooseaproblemsolvingstrategyformatfromafewchoices.• C)Formatsareprovided,butnotrequired.• D)Formatsareonlyexpectedforsomeproblems.

Numbertalks

• NumberstalksshouldfocusonA)computationsthatwerepreviouslylearned• B)newcomputations• C)estimationsmorethancomputations• D)equallyonestimations,computations,representationsofquantity

Threepartlessons• Themostimportantaspectofathree-partlessonis:• A)thatstudentsworkingroups• B)thatheactivationshowsasimplerbutsimilarproblem• C)thatstudentshavetoengageinmathematicalthinking• D)thatthetaskislevellable

Richtasks• Whatismostcriticalaboutmakingataskrichisthat:• A)itisreal-life• B)itismulti-step• C)itwillengagestudentinterest• D)itrequiresmathematicalthinking

BigIdeas• A)Bigideasinmathareoverallexpectations.• B)Bigideasinmathmightbeprocesses.• C)Bigideasinmathcannotbestrand-based.• D)Thereare3bigideasinmath--proportionalreasoning,spatialreasoningandalgebraicreasoning.

Borrowingpreparedactivities• Lotsofteacherswantabankofpreparedactivities.• A)Thismakessensesincemostteachersdon’thavetimetopreparethem.• B)TheywillprobablybegoodifIborrowthemfromotherteachers.• C)Iwillprobablyneedtoadjustthemsincetheymightnotsuitmyparticularkids.• D)TheyarehardtousesinceIdon’tknowwhattoreallybringoutfromthem.

Mindset• Toimprovestudentmindset:• A)tellthemthatmistakesaregood• B)makesuretheysucceed• C)talktothemaboutperseverance• D)show“mindset”videos

Differentiatinginstructioninmath

• A)Itisreallyonlyrealistictodifferentiatefollow-upactivities,notinstruction.• B)Isnecessarysometime,butfrequentlyitisnot.• C)cannormallybeaccomplishedbyallowingstudentstousedifferentstrategies.• D)shouldonlybeneededforstudentswhoaremodified/onIEPs.

Consolidation

• A)Thefocusshouldbeonstudentsharingofsolutionstrategies.

• B)requiresagallerywalk,abansho,oracongress.• C)Thefocusshouldbelessonsolutionandmoreontheconceptsunderlyingtheproblemsolved.

• D)cannotbeplannedinadvanceandsoshouldbeheldoffuntilstudentworkisexaminedinmoredetail.

Estimation

• A)Thebestwaytoestimatetheresultofacomputationisusuallytoround.• B)Studentsshouldbeencouragedtoestimateusingdifferentstrategiesindifferentsituations.• C)Afairlynarrowrangeofestimatesshouldbeallowed,butthereshouldbearange.• D)Teachersshouldtellkidshowtoestimateinparticularsituations.

Estimation/calculation

• Injuniorandintermediategrades:• A)Thereshouldbemorefocusoncalculationthanonestimation.• B)Thereshouldbemorefocusonestimationthanoncalculation.• C)Thereshouldbeequalfocusonboth.• D)Ifacomputationcannotbedonementally,studentsshouldbeallowedtousecalculatorswithestimation.

Standardalgorithms

• A)aremostnaturalforstudents• B)arenobetterorworsethanotheralgorithms.• C)aremoreefficientthanotheralgorithms.• D)shouldgetsomewhatmorepracticethanotheralgorithms.

Learninggoals• A)Learninggoalsshouldbeexpectationsinkid-friendlylanguage.• B)Learninggoalsshouldbefocusedonprocessesratherthancontent.• C)Learninggoalsshouldfocusonwhatstudentsshouldbeabletodo.• D)Learninggoalsshouldfocusonideasstudentsshouldknow.

Successcriteria

• A)Successcriteriashouldbetask–focusedandshouldaccompanyeverytaskstudentsdo.• B)Successcriteriashouldbeprocessorbigideafocused.• C)Successcriteriaarerequiredonlywhenevaluationistakingplace.• D)Successcriteriacouldreplaceproblemsolvingtemplates.

Vocabulary• A)UsingprecisemathematicalvocabularyshouldbeadistinguishingfeaturebetweenLevel3and4work.• B)Itisbesttointroduceformalvocabularybeforetheactivity.• C)Itisbesttointroduceformalvocabularyattheendoftheactivity.• D)Afocusonformalvocabularycanbeabarrierforstudents.

Fluency• Fluencyinmathsuggests• A)speedoratleastuseoffewsteps• B)beingabletodoanyquestionlotsofways• C)havingdifferentstrategiestouseindifferentsituations• D)usingnumberrelationshipsandoperationmeaningstomakecalculationdecisions

Balancedmath• A)equalamountsofprocedure,concept,problemsolving• B)equalamountsofmodelled,guided,sharedandindependentwork• C)separateattentiontoskillandconceptandproblemsolvingwork• D)aproblemsolvingfocusbutwithattentiontoskills

Purposefulpractice• A)willvaryforstudentsinthesameclass• B)shouldbesimilarforallstudentstobefair• C)focusesonskillpractice• D)couldinvolvenewsituationsstudentshavenotalreadymet

Assessment• A)Somedatashouldbecollectedforeachstudenteachday.• B)Assessmentdataisalwaysbetterifitinvolvesaconversation(evenifbrief)withastudent.• C)Itisimportantthatassessmentoflearningdatabeobjective.• D)Assessmentoflearningdatashouldneverincludesituationsstudentshavenotalreadymet.

Justataste• Ihavelotsofothertopicswemighthavediscussed,buthopethesetopicsgotyouthinking!