Courses I’ve Taught
MA 48400: Seminar on Teaching College Algebra and Trigonometry
MA 30100: Introduction to Proof through Real Analysis
MA 22300: Calculus I
EDCI 425: Teaching of Mathematics in Secondary Schools
EDCI 42600: Teaching of Mathematics in Middle and Junior High
EDCI 59100: Making Sense of Algebra, Grades 6-12
EDCI 54900: Assessment in Mathematics Education
EDCI 62000: Ph.D. Research Seminar in Mathematics Education
Most material for my courses is available to students enrolled in the course through blackboard learn. Below I have included a few additional resources or information for those who are not enrolled but are interested in the teaching and learning of mathematics.
For Undergrads:
MA48400 - Seminar on Teaching College Algebra
This is a unique and wonderful seminar course in which undergraduates (typically pre-service math teachers or math majors) get to teach their own section of College Algebra! As the course instructor, I meet with the MA484 students each day after they have all taught their course and we unpack the pedagogical and content issues that have arisen or that they need to consider for future courses.
Students must apply to be a part of MA48400. Typically we have 8-10 spots available each year depending on the number of sections of college algebra that need to be covered. Please watch for an announcement from the Mathematics Advisors at Purdue in early Spring inviting applicants. Applicants with a strong GPA in math and a desire to teach in the future are encouraged to apply. You may wish to visit the MA15300 (College Algebra) website to get an idea of the material you would teach as part of this course.
MA30100 - Introduction to Proof through Real Analysis
In this course, I work with students to build an understanding of what is involved in constructing mathematical proofs using the context of real analysis. Topics include some set theory, axioms for the real numbers, mathematical induction, formal definition of limits of sequences and functions, convergence of sequences and series, irrational numbers, cardinality, continuity, and differentiability. The emphasis, however, is more on the concept of proof than on any one given topic. As part of the course, I try to share resources on the history of mathematics and on interesting ideas surrounding proof and reasoning. Below are a few web links that may be of interest:
The story of the Hotel Infinity (or Hilbert Hotel) Version1 Version2.
Course Resources
