RUME 26
2024
Omaha, Nebraska
Is it "fast enough?": Two Undergraduate Students' Guided Reinvention of the Comparison Test
Page: 1288
Series convergence is a key part of the calculus curriculum; however, there is limited research on ways to support students conjecturing about series convergence. We conducted a teaching experiment using Realistic Mathematics Education in which we supported two undergraduate calculus students in reinventing statements about series convergence. We present the students’ reinvention of the comparison test and how it was related to their informal ideas about the sequences n^-1 and n^-2. Our study is an existence proof showing that students can be supported to conjecture tests for series convergence.