MTH209SyllabusNumeracyforTeachers-2UniversityofRhodeIsland

SPRING2017InstructorContactInformation Name: (Mrs.)SusanL.Osberg Office: Lippitt106E OfficeHours: Monday/Wednesday9am–9:45am; Friday8amto8:45am E-mail: sosberg1@verizon.netClasstime/location: Class: M/F11:00–11:50 Lippitt201 Class/Recitation: W11:00–12:40PMLippitt201CourseMaterials:

• Freitag,MarkA.MathematicsforElementarySchoolTeachers:AProcessApproach.Belmont,CA.Brooks/Cole.2014.

• NationalCouncilofTeachersofMathematics(NCTM).Principles&StandardsofSchoolMathematics2000(downloadatwww.nctm.orgwith120-dayfreetrialorwithe-membershipinNCTM)

• CommonCoreStateStandards(downloadathttp://www.corestandards.org/Math/

MTH209CatalogDescription

AcontinuationofMTH208,includingconceptualunderstandingsupportingmathematicalideaspresentedincurrent,standards-basedelementarymathematicseducation.Anin-depthlookatfunctions,relations,fractions,decimals,percents,probabilityandstatistics,sets,logic,andadditionalworkingeometry

Goals Thegoalofthiscourseistocontinuetoprepareyouforthemathematicalandanalytical

aspectsoftheworldaroundyou,andtohelpyoudevelopastronger,deepermathematicalknowledgeasyouembarkonyourteachingjourney,sothatyoumayunderstandthebasicskillsnecessarytopresenttothediversegroupsofstudentsyouencounterinyourclassrooms.

LearningOutcomes Bytheendofthiscourseyouwill:

§ Developadeepermathematicalknowledgerequiredforyourteachingcareer§ Becomeproficientinrealworldsituationsinvolvingfractions,decimalsand

percents,gainadeeperunderstandingofvariablesandfunctions,probability,statisticsandtransformationalgeometry.

§ Learntechniquesfortheclassroomsuchashowtodesignastatisticalstudy,howfractions,percentsanddecimalsfitintoourworld,theconnectionbetweenmathematicsandotherdisciplines

§ Haveabetterunderstandingofwhatstandardsyouwillberequiredtoaddressasateacher.

MathematicsEducationalObjectives

§ Toapplyarithmetic,algebraic,geometric,higher-orderthinkingandstatisticalmethodstomodelingandsolvingreal-worldsituations.

§ Torepresentandevaluatebasicmathematicalinformationverbally,numerically,graphically,andsymbolically.

§ Toexpandmathematicalreasoningskillsandformallogictodevelopconvincingmathematicalarguments.

§ Touseappropriatetechnologytoenhancemathematicalthinkingandunderstandingandtosolvemathematicalproblemsandjudgethereasonablenessoftheresults.

§ Tointerpretmathematicalmodelssuchasformulas,graphs,tablesandschematics,andtodrawinferencesfromthem.

§ Torecognizethelimitationsofmathematicalandstatisticalmodels§ Todeveloptheviewthatmathematicsisanevolvingdiscipline,interrelatedwith

humanculture,andunderstanditsconnectionstootherdisciplines.Expectations

§ Attendeachclass.Comepreparedandbepunctual.Ifyoumustbeabsent,contactmepriortoyourabsenceandexplaintomewhyyouwillmissclass.Randomattendancecheckswilloccur

§ Askquestionswhenneeded.§ Doingwellinthiscourserequireseffortonyourpart:cometoclass,bereadyto

learn,reviewyournotes,andaskquestions.Wewilldevotesomeclasstimeeachdaytoaddressinganyproblemsorconcernsyoumighthave.Youarealsoalwayswelcometoemaileorstopbymyofficetoaskquestions.

§ Berespectfulofyourselfandyourclassmates.ThismeanscellphonesandIPodsshouldbeturnedoffduringclasstimeandtheworkthatyousubmitmustbeyourown(unlessotherwisestated).Insupportofhoneststudents,thosediscoveredcheatingonassignmentsorexamswillreceiveagradeofzeroontheassignmentorexam.

§ Useofunauthorizedaidssuchascheatsheetsorinformationstoredincalculatormemorieswillbeconsideredcheating.TheMathematicsDepartmentandtheUniversitystronglypromoteacademicintegrity.

GradingPolicy: Youwillbegradedonquizzes,tests,homework,andaculminatingportfoliothroughout

thecourseofthesemester.Therewillbeapproximately10veryshortquizzes.Weightswillbegivenasfollows:

Homework/Quizzes 10% Exam1 15% Exam2 15% Exam3 15% Portfolio 25% FinalExam 20%GradingScale Iwillusethefollowingscaleforyourgradeinthiscourse:

A 93–100 C 73–76A- 90–92 C- 70-72B+ 87–89 D+ 67–69B 83–86 D 63–66B- 80-82 D- 60-62C+ 77-79 F <60

*****IncompleteGrades*****

• Asapart-timeinstructor,Iamunabletoassignan“Incomplete”asafinalgrade.Pleasebesurethatyoukeepupwithallcourseworkandmakeeveryefforttocompletetasksandassignmentsontime.

Make-UpPolicy

§ Examswillnotbemadeupunlessyouhaveadocumentedemergencythatyouhavetoldmeaboutpriortothedateoftheexam.Amake-upexamwillbecreatedforyouthatyoumusttakewithinoneweekoftheoriginalexamdate.

§ Quizzesandhomeworkassignmentswillnotbemadeup.§ Yourattendanceinclass,therefore,iscritical.

.UniversityofRhodeIsland’sCivilityPolicy TheUniversityofRhodeIslandiscommittedtodevelopingandactivelyprotectinga

classenvironmentinwhichrespectmustbeshowntoeveryoneinordertofacilitatetheexpression,te4sting,understanding,andcreationofavarietyofideasandopinions.Rude,sarcastic,obsceneordisrespectfulspeechanddisruptivebehaviorhaveanegativeimpactoneveryone’slearningandareconsideredunacceptable.Thecourseinstructorwillhavedisruptivepersonsremovedfromclassifnecessary.

Accommodations Ifyouhaveadocumenteddisabilitythatmayrequireindividualaccommodations,please

makeanappointmentwithmeassoonaspossibleandprovidewrittendocumentationsothat,together,wemayworkoutreasonableaccommodationstosupportyoursuccessinthiscourse.Forfurtherinformationorassistance,pleasecontactURI’sDisabilitiesServicesforStudents,OfficeofStudentLife,Room330oftheMemorialUnion,orat(401)874-2098.

AcademicEnhancementCenter

Regularstudyandpracticewiththecoursematerialisimperativeforsuccessinthisclass.TheAcademicEnhancementCenter’s(www.uri.edu/AEC,874-2367)Math&PhysicsWalk-InTutoringwillhelpyouwiththis.

Math&PhysicsWalk-tutoring(locatedinrooms201and205inLippittHall,)isano-appointment-neededtutoringcenterwhereyoucanworkwithtutorsandotherstudentsinthisandothermathcourses.TheyprovidefreesupportinallmathcoursesuptoMTH243.Bringyourbook,notes,andquestionswithyou.

Tutoringisagreatplacetopracticewithclassmatesandfriends,prepforexams,andreviewwhatwe’relearninginclass.Checkthewebsiteaddressforanup-to-datescheduleoftutors’hours:www.uri.edu/aec/walkin%20math.

HomeworkExpectations§ Homeworkisanintegralcomponenttohelpyoudowellinthiscourse.Eachhomework

assignmentisexpectedtoreflectyourbestworkandshouldeitherbetypedorneatlywrittenwithanswersclearlyshown.

§ Yourportfolioshouldcontain8-10samplesfromthehomework,assessments,orcertaintasksfromin-classwork.Youwillhavetheopportunitytochoosewhichproblemsyoudiscussfromthetotalofover150problemsoverthecourseofthesemester.

§ Homeworkwillbedueatthebeginningofclass.Homeworkassignedinoneclassisdueatthestartofthenextclass.Iwillreturnittoyouassoonaspossible(hopefullyattheclassfollowing)withcorrectionsandcommentary.

§ Eachproblemwillbeworth3pointsandwillbegradedasfollows:o 3points–completelycorrect,allworkshown,clearandconcise,methodusedis

explicitlystatedo 2points–completelycorrect,mostworkshown,clear,methodusedisimpliedo 1point–errorincompletingproblem,workishardtofollowornotavailable,

methodusedisunclearo 0points–problemisincorrectandworkisnotavailableordoesnotfollow,no

clearmethodisusedornohomeworkisturnedin.§ Homeworkshouldnotbejustalistingofanswers;anyhomeworkassignmentnot

showingfullandcompleteworknecessarytoreachthesolutionwillreceiveazero(0).§ YouwillbeexpectedtoreviewthehomeworkandthefeedbackIprovidebeforeyou

selectyourportfolioentries.Youarewelcometotalktomeduringofficehoursaboutambiguitiesorportfolioquestions.

§ Iwillcontinuetoprovideyouwithfeedbackonyourwritingforyourportfolioentries.Youwillhavetheopportunitytohandinaroughdraftofyourworktometogooverwithyoubeforehandingitin.Wewillspendsomeclasstimetalkingabouthowtoformallywriteyourportfolioessays,andyouwillbeabletoworkinsmallgroupstodiscussyourwriting.

RecitationHour&Portfolio Onceaweek,wewillmeetforrecitation.Duringthisextra50-minutesession,youmay

expectthefollowing:§ YouwillworkingroupstoexploreandcompleteproblemsfromthePortfolio

EntrySheets.§ Yourgroupwillpresentoneoftheseproblemstotheremainderoftheclass.

Thispresentationwillincludeo Astatementoftheproblemo Method/strategyusedtosolvetheproblemo Completesolutiontotheproblemo StatementoftheNCTMandCommonCorestandardsaddressedinthe

problemo Indicationofanappropriategradelevelforthisproblem

§ ThetaskandsolutionwillbeuploadedtoaspecificlocationontheMTH208coursepageonSAKAIsoitisavailabletotheentireclass.

§ Youmaywishtobringinvisualaids,manipulatives(blocks,rods,diagrams),orotheractivitiestogetyourclassmatesinvolvedinthelesson.

§ Duringanexamweek,wewillfocusonpracticeexamproblemsforourrecitation.

Duringourfirstrecitation,wewillgoover,indetail,theexactexpectationsandproceduresfortherestofthesemester.PresentationswillbegininWeek2.

PortfolioExpectations Aswegothoughthesemester,youwillcollectmaterialsandwewillcoverskillsthat

specificallyaddresstheNationalCouncilofTeachersofMathematicsPrinciplesandStandardsandtheCommonCoreStateStandardsinMathematics.Asteachers,youwillberequiredtoconcentrateonthesestandardsinyourownclassroom.Therefore,foryourportfolio,youwillbesolvingavarietyofproblemsandmatchingthemtothestandardsatdifferentgradelevels.Youwillbeaskedtoexaminespecificproblemsthatrepresenteachofthesestandards.Tenportfolioassignmentswillbeprovidedwithexercisesthatrelatetowhathasbeenstudiedinclass.Theseproblemswillbeincludedinyourfinalportfolioasrepresentativeofsomeofthestandards.Attheendofeachoftheportfolioassignmentisaquestionregardingwhichstandardshavebeenaddressed.Aspartofourrecitationclass,wecandiscusssomeoftheseproblemsandtherelatedstandards.§ Inaformalreport,youwilldescribecommonmistakesmadeforeachtypeof

problemandgiveadetailed,step-by-step,annotatedsolutionofeachproblem.In

yourportfolioreport,youwilltalkabouthoweachproblemrelatestothechosenstandardorgradespanexpectationforRhodeIslandstudents.

• Theportfoliowillbegradedonarubricandisworth25%ofyourgrade;itwillbegradedrigorously.Toaidyouinkeepingupwiththework,therewillbethreecheckpointsthroughoutthesemester.Datesforthesecheckpointsarelistedonthesuggestedcalendarattheendofthesyllabus.However,ifyoukeepupwithitthroughoutthesemester,andcomeseemetoworkoutspecificdetailsorquestionsyoumayhave,thereisnoreasonwhyyoushouldnotdowell.

§ ThisdetailedreportcouldbepartofyourSchoolofEducationportfolio,requiredforadmissionintotheteachingprogramoftheUniversityofRhodeIsland.Itissomethingyouwillwanttoholdontoasafutureeducator.Useittobenefityourself;addasmanydetailsasyoucananddescribeanyobstaclesyouranintowhilesolvingtheproblemsinyourreport.Iwillhelpyouwithitthroughoutthesemester,asneeded.

• TheNCTMPrinciplesandStandardscanbefoundonlineathttp://www.nctm.org/standards/content.aspx?id=16909.Signupforafree120-daytrialatthebottomofthispage.

• TheCommonCoreStateStandardsformathematicscanbefoundhttp://www.corestandards.org/Math/

• Alsotobeincludedintheportfolioarefour(4)reflectionpapers(short:1-2pagesonly),oneforeacharticleyouwillbeaskedtoreadandreflectupon.

§ Alsotobeincludedintheportfolioarefour(4)reflectionpapers(short:1-2pagesonly),oneforeacharticleyouwillbeaskedtoreadandreflectupon.o Foryourreflectionpapers:§ Readthearticlefirst§ Thinkofthemathematicscontentofthelessondiscussedinthearticle–how

wereyoutaughtthatcontent?Didyoulearnitwell?Didyouunderstandit?§ Whatwasitabouthowyoulearnedthatcontentthatcausedproblemsormade

iteasytolearn?Ordoyouthinkthemethod(s)mightmakeitmoredifficulttolearnthecontent?

§ Howwouldthemethodsmentionedinthearticlemakeiteasierforchildrentomasterthecontent?

§ Doyouthinkthisissomethingyoumighttryinyourownclassroom?§ Describehowyoumightusethisinyourclassroomordiscusswhyyouwouldn’t

incorporateitatall§ Upto10homeworktaskswillalsobeincludedinyourportfoliowithindicationsof

thestandardstheyaddress.Thesehomeworktaskscanbethosethatyoufounddifficultbutfinallymanagedtocomplete,tasksthatyoufoundintriguingortasksthatyoujust“enjoyed”solvingandwishtoinclude.Foreachofthese,commentonwhytheparticulartaskisincluded.

§ Makesureyoukeepalloftheworkthatyoucompleteinthecourse,whetherpersonalnotesorgradedwork,sothatwhenitcomestimetocreateyourportfolio,

youwillhaveallyourmaterialscollectedandbepreparedtoputyourreporttogether.

PORTFOLIODIRECTIONS 1. PortfoliowillbeuploadedintoaspecificlocationontheMTH208pageinSAKAI2. Orderofinclusion:

a. Portfoliotasksi. Eachportfoliosheetii. Fivetasks(includinggrouptasks)onseparatesheetsw/standardsiii. Tasksdonebygroups–besuretohavegroupnamesonthemfor

identificationpurposesb. Homework–clearlylabeledw/assignment#,page#andproblem#c. Reflections

i. Reflection3. Double-checkyourspellingandtypossoallworkisasprofessionallookingaspossible.4. Asyouwork,keeptherubrichandyforreferencesoyouaresureyouhavemetallthe

conditionsonit.5. *****Uploadwiththetitle:YourName,PortfolioCheckpoint#

MTH209PORTFOLIOCHECKPOINTREQUIREMENTS:CHECKPOINT# DATE PORTFOLIOREQUIREMENTS 1 2/17 Problemsfromportfoliosheets1,2,&3 2problemsfromhomeworkorin-classwork ReflectiononReading#1 2 3/10 Problemsfromportfoliosheets4,5 2newproblemsfromhomeworkorin-classwork ReflectiononReading2 3 4/7 Problemsfromportfoliosheets6,7,&8 2newproblemsfromhomeworkorin-classwork ReflectiononReading3 4 4/28 Problemsfromallportfoliosheets9&10 2additionalproblemsfromhomeworkorin-classwork ReflectiononReading#4 SEEPORTFOLIORUBRICFORDETAILS***FinalPortfoliomaybeturnedinasahardcopyinathree-ringbindershouldyoudesiretousesuchaspartofyourSchoolofEducationportfolio.Ifso,itisduenolaterthanlastclassofthesemesterandwillbereturnedtoyouonthedayoftheFinalExam.

SkillAreasAddressed Wewillbeaddressingthreemainskillareasthroughoutthiscourse:

1. UseofQuantitativeDataCourserequiresassignmentswhichinvolvetheanalysis,interpretation,and/oruseofquantitativedatatotestahypothesisorillustrateanddescribepatterns.Wewillbeexploringquantitativedataonadailybasis.

2. UseofQualitativeDataCourserequiresassignmentswhichinvolvetheanalysis,interpretation,and/oruseofqualitativedatatotestahypothesis,buildatheory,orillustrateanddescribepatterns.Wewillbeexploringqualitativedatathroughoutthecourse,building,testing,andprovingmethodsandconjectures.

3. WriteEffectivelyCourserequireswrittenassignmentsdesignedtoallowstudentstopracticeandimprovecommunicationskillswithinstructorand/orgroupfeedback.

ProposedCalendar– Thisisaworkingtimelineofwhattopicscanbeexpectedtobecoveredinclasseach

week.Topicsand/ortopicdatesmaychangebasedonlevelofinterest,levelofunderstanding,orotherrelatedissues.

MTH209PROPOSEDCALENDARSPRING2017

DAY#

DAY DATE CHAPTER&SECTION

HOMEWORKASSIGNMENT

SPECIALANNOUNCEMENTS

1 Mon 1/23 Intro,syllabus,requirementsofcourse

Problemtosolve

2 Wed 1/25 TheNCTMProcessStandardsandtheCCSSMPracticesRecitation:ReviewofRequirements;ChooseGroups/NamesChooseproblemfromSheet#1fornextweek

A1.1pp12-16#22,34,38,39,45

Fri 1/27 CLASSCANCELLED

3 Mon 1/30 &Ch.2Sets&Logic2.1SetBasics

A2.1pp86-90#14,24,27,33,52

4 Wed 2/1 2.2SetOperationsRecitation

A2.2pp101-106#6,13,16,47,50

5 Fri 2/3 8.3ProportionalReasoning

A8.3App423-426#10,11,16,22,29

6 Mon 2/6 8.3ProportionalReasoning

A8.3Bpp423-426#30,39,42,48,50

7 Wed 2/8 8.3ProportionalreasoningRecitation

A8.3CHandout

8 Fri 2/10 DivisionofFractionswithLCD;GregTangfractions

A8.1AHandout

9 Mon 2/13 ReviewforExam#1

10 Wed 2/15 EXAM#1

11 Fri 2/17 8.1Fractions,DecimalsandPercents

A8.1pp396-399#16,23,25,35,48

PortfolioCheckpoint#1

12 Mon 2/20 PRESIDENT’SDAYCLASSCANCELLED

13 Wed 2/22 8.2Fractions,DecimalsandPercents

A8.2pp412-414#10,14,22,2731

14 Fri 2/24 8.4Fractions,DecimalsandPercentsintheRealWorld

A8.4pp18,22,24,42,62

15 Mon 2/27 Ch.9.1AlgebraicThinking–NumericalSequences

A9.1pp464-466#10,19,28,33,40

16 Wed 3/1 9.2&9.3Functions–Linear&Non-linearRecitation

A9.2pp479-483#30,43,47pp496-499#17,42

17 Fri 3/3 9.4SolvingEquations

A9.4pp509-512#10,15,20,22,39

18 Mon 3/6 9.5Modeling A9.5pp524-528#11,13,21,23,27

19 Wed 3/8 14.1DataRecitation

A14.1pp850-852#12,15,22,25,32

20 Fri 3/10 14.2Represent&AnalyzeData

A14.2pp865-870#12,17,24,27,35

PortfolioCheckpoint#2

MonThruFri

3/13–3/17

SPRINGBREAK

21 Mon 3/20 14.3Represent&AnalyzeData

A14.3pp887-892#12,14,16,34,44

22 Wed 3/22 14.4AbuseofStatisticsRecitation

A14.4pp901-905#12,16,22,33,39

23 Fri 3/24 15.1Probability A15.1pp927-931#10,18,29,37,48

24 Mon 3/27 15.2TheoreticalProbability15.3Odds

A15.2pp945-949#12,16,39pp958-960#6,32

25 Wed 3/29 15.4CountingRecitation

A15.4App959-962#17,31,36,40,52

26 Fri 3/31 15.4Counting A15.4BHandout

27 Mon 4/3 11.1Congruence A11.1pp625-628#14,20,26,34,46

28 Wed 4/5 11.2SimilarityandSelf-similarityRecitation

A11.2pp637-642#8,10,19,37,45

29 Fri 4/7 12.1CoordinateGeometry

A12.1pp689-693#10,14,21,46,50

PortfolioCheckpoint#3

30 Mon 4/10 12.2Transformations A12.2App708-713#11,15,17,19,21

31 Wed 4/12 12.2TransformationsRecitation

A12.2Bpp708-713#23,25,2931,33

32 Fri 4/14 12.3Congruencew/transformations

A12.3pp726-731#19,21,37,43,53

33 Mon 4/17 12.4GeometricPatterns&Tessellations

A12.4App742-745#8,16,19,24,26

34 Wed 4/19 12.4TessellationsRecitation

A12.4BHandout

35 Fri 4/21 12.4Tessellations A12.4CHandout

36 Mon 4/24 ReviewforExam3

37 Wed 4/26 EXAM#3

38 Fri 4/28 Presentationofmathlessonplan

FinalPortfolioCheckpoint(Checkpoint#4)

39 Mon 5/1 LastDayofClass

Fri 5/5 FINALEXAM

*****FINALEXAM:FRIDAY,MAY5,2017,11:30AM–2:30PM,LIPPITT201*****