When teaching a general education introductory astronomy course that includes a mathematics prerequisite, it is important to convey that formulas and equations physically represent properties of actual objects and processes that occur that can actually be observed. Students with varying comfort levels with mathematics often need to be convinced…

Abundant research leaves little question that pedagogical approaches involving active student engagement with the material, and opportunities for student-to-student discussions, lead to much better learning outcomes than traditional instructor-led, expository instructional formats, in physics and in many other fields. In introductory college…

Video lectures are increasingly being used in physics instruction. For example, video lectures can be used to "flip" the classroom, i.e., to deliver, via the Internet, content that is traditionally transmitted by in-class lectures (e.g., presenting concepts, working examples, etc.), thereby freeing up classroom time for more interactive…

Interactive lecture demonstrations (ILDs) are a powerful tool designed to help instructors bring state-of-the-art teaching pedagogies into the college-level introductory physics classroom. ILDs have been shown to improve students' conceptual understanding, and many examples have been created and published by Sokoloff and Thornton. We have used the…