Here is some information about courses I have taught.

Calculus. Calculus is a wonderful class that supports many of the sciences, economics, computer studies, and engineering. I love teaching this class since the history of the subject is so rich and the ideas are so inter-connected. Through the years, my teaching of calculus has led to action research projects in student thinking and questioning, nonroutine problem development, flexibility in mathematical solutions, and curricular/pedagogical reform through active learning.

Math for Elementary School Teachers. This is a two-semester course that opens pre-service teachers' eyes to children's mathematical thinking and reasoning. Although the course covers much mathematical ground, we spend a good deal of time discussing the mathematical knowledge needed to effectively teach K-5 mathematics. Highlights for me include understanding fractions with manipulatives, Number Talks, and modeling Smith & Stein's Five Practices as a means to activate the classroom.

Activities in Mathematics. This unique course surveys mathematics in different areas and inspires students to see the subject in new and interesting ways. Students come into the class with majors such as art, music, and journalism. When I taught this course, we explored topics such as Proofs without Words, the mathematics of Geoboards, the Four Color Theorem, the Monty Hall Problem, tessellations, and the mathematics of origami. There was never a dull moment in class!

Instructional Videos for Calculus I

My You Tube channel is here. Direct links to videos (by topic) are below. These videos follow Calculus by Briggs, Cochran & Gillett.

  • Definitions of Limits (video)
  • Finding Limits Analytically (video)
  • Infinite Limits (video)
  • Limits at Infinity (video)
  • Continuity (video)
  • Epsilon-Delta Definition (video)

  • Introduction to Derivatives (video)
  • Graphical Meaning of Derivatives (video)
  • Rules of Differentiation (video)
  • Product & Quotient Rules (video)
  • Derivatives of Trigonometric Functions (video)
  • Rates of Change (video)
  • Chain Rule (video)
  • Implicit Differentiation (video)
  • Exponentials & Logarithms (video)
  • Inverse Functions (video)
  • Related Rates (video)

  • Extreme Values (video)
  • First Derivative Analysis (video)
  • Second Derivative Analysis (video)
  • Graphing Functions (video)
  • Optimization (video)
  • Differentials (video)
  • Mean Value Theorem (video)
  • L'Hopital's Rule (video)
  • Newton's Method (video)
  • Antiderivatives (video)

  • Area Under the Curve (video)
  • Definite Integrals (video)
  • Fundamental Theorem of Calculus I (video)
  • Fundamental Theorem of Calculus II (video)
  • Working with Integrals (video)
  • Substitution (video)