Including School Mathematics Teaching Applications in an Undergraduate Discrete Mathematics Course

Figures & data

Figure 1. Henry's Question: An example of a teaching application.

Figure 2. The pre-activity and class activity questions from the binomial theorem lesson.

Figure 3. The pre-activity and class activity questions from the foundations of divisibility lesson.

Table 1. Five types of connections to teaching.

Connection	Description
Content Knowledge	Undergraduates use course content in applied contexts or to answer mathematical questions in the course.
Explaining Mathematical Content	Undergraduates justify mathematical procedures or theorems and use of related mathematical concepts.
Looking Back/Looking Forward	Undergraduates explain how mathematics topics are related over a span of K–12 curriculum through undergraduate mathematics.
School Student Thinking	Undergraduates evaluate the mathematics underlying a student's work and explain what that student may understand.
Guiding School Students' Understanding	Undergraduates pose or evaluate guiding questions to help a hypothetical student understand a mathematical concept and explain how the questions may guide the student's learning.

Figure 4. Henry's Question with annotations.