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Investigating College Instructors’ Methods Of Differentiation And Derivatives In Calculus Classes, Wedad Mubaraki

Boise State University Theses and Dissertations

This case study investigates three college instructors’ instructional approaches and their mathematical discourses in the context of calculus (e.g., concepts of limit and derivatives). The analyses focus on ways in which instructors communicate limit and derivative concepts that are observed in the classrooms, using Sfard’s discursive framework (a communicational approach). In particular, instructors’ use of mathematical words while introducing derivative and limit concepts are analyzed, as well as instructors’ ways of using visual mediators such as symbols, numbers, expressions, and graphs are investigated. The findings of the study indicate instructors’ different instructional approaches and differences in their mathematics discourses while …