Integral Students’ Experiences: Measuring Instructional Quality and Instructors’ Challenges in Calculus 1 Lessons

In this study, we examined 10 integrallessons to understand students' opportunities to learn cognitively challengingtasks and maintain cognitive demand during integral lessons. Our findingsreveal issues with implemented tasks as well as the way these tasks werepresented to students. We also examined mathematicians' reasons behind theirinstructional practices, which show two common reasons of under-preparedstudents and time constraints. However, two mathematicians' in this studyshowed quite different instructional practices, which shows individualizedfaculty development might be critical in changing teaching and learning ofcalculus.