A Beginner's Guide to Teaching Mathematics in the Undergraduate Classroom

Course Overview OneA Note on TerminologyDetermining Desired Learning OutcomesAssessmentDetermining a Beginning Classroom StrategyBackward DesignQuick Glance: Terminology OverviewCourse Policies, Philosophies, and Syllabi TwoCourse PoliciesGradesWhat to Grade?How to Calculate Grades?FlexibilityParticipation and AttendanceScheduleMake-ups and Late PapersCalculatorsLaptops and TabletsPhones and Smart WatchesConductUnexpected IssuesSyllabiDrafting a SyllabusAllowing for ChoiceA Promising SyllabusSample SyllabusWhy Take this Class?PrerequisitesCourse Topics (as time permits)TextbookCalculatorsGradesOffice Hours: Come on in!Academic Support Center: Free Peer Tutoring Available!Participation, Attendance, and TardinessHomeworkLate HomeworkQuizzesMissed QuizzesExamsMissed ExamsStudents with Documented DisabilitiesClass CancellationsAnnouncementsConduct in the ClassroomHonor CodeLearning Outcomes for Math 110 Calculus ICatalog Description: MAT 110 Calculus IThe Basics of the Classroom ThreeThe First Day of ClassGetting Class StartedGetting to Know Each OtherSyllabus Review and Setting the ToneTeachingPrerequisite QuizHow Did It Go?Preparing for ClassDesired Learning OutcomesPlans for AssessmentCreating a LessonPreparation TimeDuring Class and Office HoursA Typical ClassThe Importance of PracticePaceCourse PaceLesson PaceEnthusiasm and MotivationEncouragement and Suggestions for Improved PerformanceApproachabilityAcknowledging Hard WorkRapportFostering Academic Honesty with EnvironmentMaking and Discussing MistakesAcknowledging Your Own ChallengesAfter ClassAssessment FourFostering Academic Honesty with AssessmentHomeworkQuizzesPreparing Students to Take an ExamReview SessionsWriting an ExamFinal ExamsThe Exam Was Too Long!Grading an ExamPost-Mortem for YouPost-Mortem for StudentsAddressing Instances of Academic DishonestyCourse GradesBeing Honest and ObjectiveExtra CreditConsistencyChallenges and Opportunities within Commonly Taught Courses FiveDiscussion SectionsAlgebra – Is It Too Late?!PrecalculusOpportunities for Opening or Closing ExercisesTrigonometry HandoutsCalculus I: Differential CalculusOpportunities for Derivation or ProofOpportunities for Opening and Closing ExercisesGraphing Techniques HandoutsCalculus II: Integral CalculusOpportunities for Derivation or ProofOpportunities for Opening or Closing ExercisesIntegration Strategy HandoutsSophomore CalculusOpportunities for DerivationOpportunities for Fixing What Never Looked BrokenOpportunities for Building on (and Improving) Previous KnowledgeOpportunities for Opening and Closing Exercises and HandoutsElementary Linear AlgebraOpportunities for HandoutsOpportunities for Opening Exercises and Building on Previous KnowledgeProof CoursesOpportunities for HandoutsOpportunities for Opening and Closing ExercisesSetting a Clear StandardUpper-Level CoursesOpportunities within Complex VariablesBuilding on Previous KnowledgeSomething New, Something Old (but Improved!)Growth through Evaluation and Education SixSelf-EvaluationPost-Class NotesPost-Course ReflectionDocumentation of Your Self-EvaluationPeer Evaluations and CollaborationsSelecting Diverse ObserversCollaborating with Your ColleaguesDocumentation of Your Peer Evaluations and CollaborationsStudent EvaluationsEvaluating EarlyKeeping an Open MindDocumentation of Your Student EvaluationsPedagogical Professional DevelopmentDocumentation of Your EducationGoing beyond Traditional Lecture SevenPreparing to Try Something NewActive LearningThings to Consider Before Designing Active Learning ActivitiesClass SizeClassroom EnvironmentTeaching EnvironmentCourse Role and AudienceStudent ResistanceThe Art of TellingAdditional Methods to Achieve Active LearningThink-Pair-ShareClickers or Mobile PollingPeer ReviewGroup EvaluationsInquiry-Based Learning (IBL)Just-in-Time Teaching (JiTT)Course Designs for Active LearningCommunity Service Learning (CSL)Inquiry-Based Learning (IBL)Flipped ClassroomsFlipped Flipped ClassroomsOnline CoursesCreating Videos for Online CoursesA Final Note on Innovation
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