MATH 455 ‐ College Geometry II ?· MATH 455 ‐ College Geometry II ... Foundations of Geometry by…

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  • MATH455CollegeGeometryII

    Spring2011 GeneralInformationInstructor:MarkOursland MeetingTime:M,W,F9:009:50AM

    Office:Bouillon107B Location:Black203

    Phone:(509)9632100

    Email:oursland@cwu.edu

    OfficeHours:Dr.Oursland:MF10:0011:00AM

    CourseDescriptionThiscourseisthesecondofatwocoursesequence.Itmixesthebasicprinciplesofgeometrywithconceptconnectiontootherdisciplines.TheaxiomaticsystemsofEuclidean,Hyperbolic,andEllipticalGeometrywillbestudiedaswellasthemodelsofthesegeometries.Connectionstotrigonometryandtransformationalgeometrywillbestudiedandappliedtorealworldproblems.Theunderlingthemewillbetomodelbothprocessesandcontentofmathematicstudiesofgeometryastheydirectlyapplytothesecondarymathematicsclassroom.PrerequisitesTheprerequisiteisMATH355.CourseRationaleGeometryisabasicpartofthehighschoolcurriculumandtheNCTMrecommendedthatProspectiveteachersneedmathematicscoursesdevelopadeepunderstandingofthemathematicstheywillteach.Thiscoursewillbeginwithhighschoolgeometryandmakedeepconnectiontoallareasofmathematics.Thiscoursewillalsodevelopadeepunderstandingofwhenandhowtouseprooftocommunicateunderstandingofmathematicalconcepts.RequiredCourseMaterials BlackboardaccountwithenrollmentinMATH455 CompassandstraightedgeandGSPorGeogebra Textbook:FoundationsofGeometrybyGerardVenemaLearnerOutcomesandAssessment:Bytheendofthecourse,studentswill:Outcomes Assessmentbeabletodefinegeometricconceptscriticaltotheintuitiveandlogicaldevelopmentofgeometry.

    Dailyassignments,writtenproblemsolutions,presentations,biweeklyexams,projectpapers,andfinalexam.

    beabletoconstructgeometricfiguresusingmultipletechnologiesandmethods,includingthoseclassicalstraightedgeandcompasstechniques.

    Dailyassignments,writtenproblemsolutions,presentations,biweeklyexams,projectpapers,andfinalexam.

    beabletoconjecture,prove,givecounterexamples,andevaluateconjectures,proofs,andcounterexamplesforcorrectness,elegance,andutility.

    Dailyassignments,writtenproblemsolutions,presentations,biweeklyexams,projectpapers,andfinalexam.

    beabletomakeconnectionsamonggeometry,otherareasofmathematics,realworldphenomena,andscience.

    Dailyassignments,writtenproblemsolutions,presentations,biweeklyexams,projectpapers,andfinalexam.

    contributetotheclassknowledgebaseinaprofessionalmannerthatincludespreparation,courtesy,andrespectforothers.

    Dailyassignmentsandpresentations

    beabletocommunicategeometricandpedagogicalideaswithothersinaclearandconcisemanner,properlyusingthelanguageofmathematics,specifically,andgeometry.

    Dailyassignments,writtenproblemsolutions,presentations,andprojectpapers.

    beabletosolveproblemsusingthegeometricconceptsfromEuclidean,Hyperbolic,andEllipticalGeometry

    Dailyassignments,writtenproblemsolutions,presentations,biweeklyexams,projectpapers,andfinalexam.

    MATH 455 Page 1 of 3

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  • CourseAssignmentsTheinstructionalandassessmentstrategiesforthiscoursearedesignedtoinformyouofyourprogressinachievingtheperformanceoutcomes.Theinstructorswillgiveyoufeedbackonyourprogressinmeetingperformanceoutcomes.Participationinclassandcompletionofdailyassignments(10pointseachthreeweeks) 30Writtenproblemsolutions(5pointseach) 30Presentationofassignedproblem1individualand1group(10pointseach) 20TriweeklyExam(50pointseach) 150ProjectPapers(20pointeach) 60FinalComprehensiveExam(100points) 100TotalPoints 380GradingScale93100%(A),900=92.9%(A)8789.9%(B+),8386.9%(B),8082.9%(B),7779.9%(C+),7376.9%(C),7072.9%(C),6769.9%(D+),6366.9%(D),6062.9%(D)and059.9%(F).PleaseseetheCWUCatalogfortheeligibilityrequirementsforanincomplete(I).PerformanceExpectations

    ProfessionalismYouneedtodoyourassignmentsandcometoclasspreparedtocontributetotheknowledgebaseoftheclass.Ifyoudonotshowup,arenotprepared,ordonotparticipateyouarenotactingasaprofessionalmathematicseducator.Ifyouaregoingtomissclassyoumustfindoutwhatyourassignmentiscompletetheassignmentoratleasthaveitdonebythetimeyoureturn.Ifyoudonotfollowthispatternofconductwillnotgetcreditforlatework.Manytimesthiswillmeangettinghelpfromyouclassmateandinstructorifyouhavemissedclassorarehavingtroublewithsomeconceptsinclass.ScheduleTheclasscalendaristentativeduetosubjecttochange,butwillbeourtentativeguidelineforthecourse.Ifyoumissaclass,itisyourresponsibilitytofindoutwhatwascovered,announced,orassigned.Incaseofemergencies,itisyourresponsibilitytocontacttheinstructorsassoonaspossible.Ifacoursedeadlinewasmissed,assessmentalternativesareleftuptothediscretionoftheinstructors.SuggestionsforSuccessTakeresponsibilityforyourownachievement.Ifyouhavequestionsregardinganyassignment,asktheinstructors.Communicatefrequently.ADAStatement

    StudentswithspecialneedsordisabilitieswhodesireacademicaccommodationareencouragedtosubmitacopyoftheConfirmationofEligibilityforAcademicAdjustmentsfromtheDisabilitySupportServicesofficeassoonaspossiblesoaplancanbedevelopedthatbestservesthelearningneedsofthestudent.StudentswithoutthisformshouldcontacttheDisabilitySupportServicesofficeinBouillon205at9632171ordssrecept@cwu.eduassoonaspossible.

    MATH 455 Page 2 of 3

  • TentativeScheduleWeek Topics Assignment

    March29

    Chapter7ProblemWriteUpandPresentations

    April5 Chapter7ProblemWriteUp,Presentations,andProjectPaper.

    April12 Chapter7ProblemWriteUp,Exam,andPresentations

    April19 Chapter10

    April26 Chapter12ProblemWriteUpandPresentations

    May3 Chapter12ProblemWriteUp,Presentations,andProjectPaper.

    May10 Chapter9ProblemWriteUp,Exam,andPresentations

    May17 Chapter9ProblemWriteUpandPresentations

    May24 Chapter9ProblemWriteUp,Presentations,andProjectPaper.

    May31 Chapter13ProblemWriteUp,Exam,andPresentations

    June8 CompleteAllCoursework FinalExam

    MATH 455 Page 3 of 3