Quantitative Reasoning and Intellectual Need as Design Principles for Instructional Materials

Abstract: We will describe the ideas of quantitative reasoning and intellectual need, and describe how we have used these ideas as design principles for creating instructional videos and related materials for introductory calculus. These ideas have implications for courses beyond calculus and for instructional materials beyond videos. We will show how important it is for students to think about calculus concepts in terms of quantities and share examples from our materials that demonstrate imagery that supports this quantitative reasoning. We will describe how we have used intellectual need to envision calculus concepts in terms of a series of perturbations and resolutions, and how these ideas have been translated into instructional materials.

mathematics education

Audience: researchers in the topic

Online Seminar On Undergraduate Mathematics Education

Series comments: Description: Seminar on university-level math education

OLSUME is an online seminar centered on mathematics education at the university level. Talks will cover curriculum, pedagogy, inclusiveness, professional development, blended and flipped classrooms, and other topics of interest.

ZOOM LINK: cornell.zoom.us/j/92415199317 Password: olsume