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A Beginner's Guide to Teaching Mathematics in the Undergraduate Classroom
Course Overview One
A Note on Terminology
Determining Desired Learning Outcomes
Assessment
Determining a Beginning Classroom Strategy
Backward Design
Quick Glance: Terminology Overview
Course Policies, Philosophies, and Syllabi Two
Course Policies
Grades
What to Grade?
How to Calculate Grades?
Flexibility
Participation and Attendance
Schedule
Make-ups and Late Papers
Calculators
Laptops and Tablets
Phones and Smart Watches
Conduct
Unexpected Issues
Syllabi
Drafting a Syllabus
Allowing for Choice
A Promising Syllabus
Sample Syllabus
Why Take this Class?
Prerequisites
Course Topics (as time permits)
Textbook
Calculators
Grades
Office Hours: Come on in!
Academic Support Center: Free Peer Tutoring Available!
Participation, Attendance, and Tardiness
Homework
Late Homework
Quizzes
Missed Quizzes
Exams
Missed Exams
Students with Documented Disabilities
Class Cancellations
Announcements
Conduct in the Classroom
Honor Code
Learning Outcomes for Math 110 Calculus I
Catalog Description: MAT 110 Calculus I
The Basics of the Classroom Three
The First Day of Class
Getting Class Started
Getting to Know Each Other
Syllabus Review and Setting the Tone
Teaching
Prerequisite Quiz
How Did It Go?
Preparing for Class
Desired Learning Outcomes
Plans for Assessment
Creating a Lesson
Preparation Time
During Class and Office Hours
A Typical Class
The Importance of Practice
Pace
Course Pace
Lesson Pace
Enthusiasm and Motivation
Encouragement and Suggestions for Improved Performance
Approachability
Acknowledging Hard Work
Rapport
Fostering Academic Honesty with Environment
Making and Discussing Mistakes
Acknowledging Your Own Challenges
After Class
Assessment Four
Fostering Academic Honesty with Assessment
Homework
Quizzes
Preparing Students to Take an Exam
Review Sessions
Writing an Exam
Final Exams
The Exam Was Too Long!
Grading an Exam
Post-Mortem for You
Post-Mortem for Students
Addressing Instances of Academic Dishonesty
Course Grades
Being Honest and Objective
Extra Credit
Consistency
Challenges and Opportunities within Commonly Taught Courses Five
Discussion Sections
Algebra – Is It Too Late?!
Precalculus
Opportunities for Opening or Closing Exercises
Trigonometry Handouts
Calculus I: Differential Calculus
Opportunities for Derivation or Proof
Opportunities for Opening and Closing Exercises
Graphing Techniques Handouts
Calculus II: Integral Calculus
Opportunities for Derivation or Proof
Opportunities for Opening or Closing Exercises
Integration Strategy Handouts
Sophomore Calculus
Opportunities for Derivation
Opportunities for Fixing What Never Looked Broken
Opportunities for Building on (and Improving) Previous Knowledge
Opportunities for Opening and Closing Exercises and Handouts
Elementary Linear Algebra
Opportunities for Handouts
Opportunities for Opening Exercises and Building on Previous Knowledge
Proof Courses
Opportunities for Handouts
Opportunities for Opening and Closing Exercises
Setting a Clear Standard
Upper-Level Courses
Opportunities within Complex Variables
Building on Previous Knowledge
Something New, Something Old (but Improved!)
Growth through Evaluation and Education Six
Self-Evaluation
Post-Class Notes
Post-Course Reflection
Documentation of Your Self-Evaluation
Peer Evaluations and Collaborations
Selecting Diverse Observers
Collaborating with Your Colleagues
Documentation of Your Peer Evaluations and Collaborations
Student Evaluations
Evaluating Early
Keeping an Open Mind
Documentation of Your Student Evaluations
Pedagogical Professional Development
Documentation of Your Education
Going beyond Traditional Lecture Seven
Preparing to Try Something New
Active Learning
Things to Consider Before Designing Active Learning Activities
Class Size
Classroom Environment
Teaching Environment
Course Role and Audience
Student Resistance
The Art of Telling
Additional Methods to Achieve Active Learning
Think-Pair-Share
Clickers or Mobile Polling
Peer Review
Group Evaluations
Inquiry-Based Learning (IBL)
Just-in-Time Teaching (JiTT)
Course Designs for Active Learning
Community Service Learning (CSL)
Inquiry-Based Learning (IBL)
Flipped Classrooms
Flipped Flipped Classrooms
Online Courses
Creating Videos for Online Courses
A Final Note on Innovation
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