MATH455‐CollegeGeometryII
Spring2011 GeneralInformationInstructor:MarkOursland MeetingTime:M,W,F9:00‐9:50AM
Office:Bouillon107B Location:Black203
Phone:(509)963‐2100
Email:[email protected]
OfficeHours:Dr.Oursland:M‐F10:00‐11:00AM
CourseDescriptionThiscourseisthesecondofatwo‐coursesequence.Itmixesthebasicprinciplesofgeometrywithconceptconnectiontootherdisciplines.TheaxiomaticsystemsofEuclidean,Hyperbolic,andEllipticalGeometrywillbestudiedaswellasthemodelsofthesegeometries.Connectionstotrigonometryandtransformationalgeometrywillbestudiedandappliedtorealworldproblems.Theunderlingthemewillbetomodelbothprocessesandcontentofmathematicstudiesofgeometryastheydirectlyapplytothesecondarymathematicsclassroom.PrerequisitesTheprerequisiteisMATH355.CourseRationaleGeometryisabasicpartofthehighschoolcurriculumandtheNCTMrecommendedthat“Prospectiveteachersneedmathematicscoursesdevelopadeepunderstandingofthemathematicstheywillteach”.Thiscoursewillbeginwithhighschoolgeometryandmakedeepconnectiontoallareasofmathematics.Thiscoursewillalsodevelopadeepunderstandingofwhenandhowtouseprooftocommunicateunderstandingofmathematicalconcepts.RequiredCourseMaterials• BlackboardaccountwithenrollmentinMATH455• CompassandstraightedgeandGSPorGeogebra• Textbook:FoundationsofGeometrybyGerardVenemaLearnerOutcomesandAssessment:Bytheendofthecourse,studentswill:Outcomes Assessmentbeabletodefinegeometricconceptscriticaltotheintuitiveandlogicaldevelopmentofgeometry.
Dailyassignments,writtenproblemsolutions,presentations,bi‐weeklyexams,projectpapers,andfinalexam.
beabletoconstructgeometricfiguresusingmultipletechnologiesandmethods,includingthoseclassicalstraightedgeandcompasstechniques.
Dailyassignments,writtenproblemsolutions,presentations,bi‐weeklyexams,projectpapers,andfinalexam.
beabletoconjecture,prove,givecounterexamples,andevaluateconjectures,proofs,andcounterexamplesforcorrectness,elegance,andutility.
Dailyassignments,writtenproblemsolutions,presentations,bi‐weeklyexams,projectpapers,andfinalexam.
beabletomakeconnectionsamonggeometry,otherareasofmathematics,realworldphenomena,andscience.
Dailyassignments,writtenproblemsolutions,presentations,bi‐weeklyexams,projectpapers,andfinalexam.
contributetotheclassknowledgebaseinaprofessionalmannerthatincludespreparation,courtesy,andrespectforothers.
Dailyassignmentsandpresentations
beabletocommunicategeometricandpedagogicalideaswithothersinaclearandconcisemanner,properlyusingthelanguageofmathematics,specifically,andgeometry.
Dailyassignments,writtenproblemsolutions,presentations,andprojectpapers.
beabletosolveproblemsusingthegeometricconceptsfromEuclidean,Hyperbolic,andEllipticalGeometry
Dailyassignments,writtenproblemsolutions,presentations,bi‐weeklyexams,projectpapers,andfinalexam.
MATH 455 Page 1 of 3
CourseAssignmentsTheinstructionalandassessmentstrategiesforthiscoursearedesignedtoinformyouofyourprogressinachievingtheperformanceoutcomes.Theinstructorswillgiveyoufeedbackonyourprogressinmeetingperformanceoutcomes.Participationinclassandcompletionofdailyassignments(10pointseachthreeweeks) 30Writtenproblemsolutions(5pointseach) 30Presentationofassignedproblem‐1individualand1group(10pointseach) 20Tri‐weeklyExam(50pointseach) 150ProjectPapers(20pointeach) 60FinalComprehensiveExam(100points) 100TotalPoints 380GradingScale93‐100%(A),900=‐92.9%(A‐)87‐89.9%(B+),83‐86.9%(B),80‐82.9%(B‐),77‐79.9%(C+),73‐76.9%(C),70‐72.9%(C‐),67‐69.9%(D+),63‐66.9%(D),60‐62.9%(D‐)and0‐59.9%(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
Studentswithspecialneedsordisabilitieswhodesireacademicaccommodationareencouragedtosubmitacopyofthe‘ConfirmationofEligibilityforAcademicAdjustments’fromtheDisabilitySupportServicesofficeassoonaspossiblesoaplancanbedevelopedthatbestservesthelearningneedsofthestudent.StudentswithoutthisformshouldcontacttheDisabilitySupportServicesofficeinBouillon205at963‐[email protected].
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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
