Provides mathematics and mathematics education students with a
study of current issues in the teaching and learning of
undergraduate mathematics. Course topics will include exploring
important ways of thinking at the undergraduate mathematics
level. Other topics will include an overview of undergraduate
pedagogies and instructional design.
Additional Requirements for Graduate Students: In addition to other course requirements, graduate students will
complete the following: Identify a key issue in the teaching and
learning of undergraduate mathematics. Complete a literature
(research and practice) synthesis on this topic. In addition to
completing manuscript, students will present their issue and
instructional implications to the course.
Athena Title
Teaching Undergraduate Math
Equivalent Courses
Not open to students with credit in EMAT 4920E or EMAT 6920E
Prerequisite
Permission of department
Semester Course Offered
Not offered on a regular basis.
Grading System
A - F (Traditional)
Student learning Outcomes
Students will understand unifying mathematical ways of thinking that connect major undergraduate mathematics topics.
Students will gain knowledge of how students come to develop those ways of thinking.
Students will recognize examples of student activity that illustrate those ways of thinking.
Students will understand various pedagogies associated with the teaching of undergraduate mathematics.
Students will analyze the affordances and constraints of the aforementioned pedagogies.
Students will identify current and critical issues in the teaching and learning of undergraduate mathematics.
Students will recognize the importance of improving the teaching and learning of undergraduate mathematics.
Topical Outline
Unifying ways of thinking for Algebra and Precalculus:
- The role of variation
- The role of invariance
- The role of representations
Unifying ways of thinking for Calculus:
- Accumulation
- Rate of change
Unifying ways of thinking for Differential Equations:
- Rate of change
- Dynamical systems
Unifying ways of thinking for Statistics:
- Variance
- Sampling
Undergraduate mathematics pedagogies
- Traditional strategies, including lecture and recitation
models
- Alternative strategies, including online and hybrid
- TA training
Current and pressing issues in the teaching and learning of
undergraduate mathematics
- Evolves with field issues
