Students’ Proceptual Thinking Outcomes in Learning the Chain Rules Utilizing Desmos Classroom Activities (DCA) as the Generic Organizer (73020)

Session Information: Learning Experiences, Student Learning & Learner Diversity
Session Chair: Ghada Salama

Thursday, 23 November 2023 12:50
Session: Session 3
Room: Room 607
Presentation Type: Oral Presentation

All presentation times are UTC + 9 (Asia/Tokyo)

This research aims to investigate students' proceptual thinking outcomes in learning the chain rules utilizing Desmos Classroom Activities (DCA) as the generic organizer with an embodied approach. This case study research includes 25 freshman students who took Calculus 1 during the fall semester of the 2022–2023 academic year. Students' proceptual thinking outcomes were analyzed based on the spectrum outcomes of proceptual thinking performance by Tall et al. (2001). The spectrum includes pre-procedure, procedure, process, procept, and axiomatic formal levels. DCA as the generic organizer to facilitate an embodied operation on the graph of a function. Students can easily drag the tangent line and tangency point altogether along the graph of a function, and at the same time, it allows them to magnify the screen, which helps them make sense of the tangent line and derivative concepts. Students generate various kinds of composite functions and prove the chain rules on the DCA through graphical exploration, numerical computations, and symbolic manipulations. DCA can contribute to the student's proceptual thinking outcomes in learning the chain rules. All students performed the proceptual thinking very well, which was reflected by 7 students (72%) using the quotient rules, 6 students (24%) using the chain rules, and the remaining 1 student using the formal definition of the derivative to prove the derivative of a trigonometric function. Most students have reached the procept level, which indicates a conceptual richness and flexibility to perform the mathematical process.

Desyarti Safarini TLS, Universitas Pendidikan Indonesia, Indonesia
Darhim Darhim, Universitas Pendidikan Indonesia, Indonesia
Dadang Juandi, Universitas Pendidikan Indonesia, Indonesia

About the Presenter(s)
Dr Desyarti Safarini TLS is a University Postdoctoral Fellow or Instructor at Sampoerna University in Indonesia

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Posted by Clive Staples Lewis

Last updated: 2023-02-23 23:45:00