Abstract: Sequential convergence is a powerful tool in the field of real analysis. Though its occurs across metric spaces, students initially understand sequential convergence as it manifests on the real line, only learning of its more abstract forms in advanced courses. As part of multiple teaching experiments, students were given the opportunity to generalize sequential convergence from $\mathbb{R}$ into the real plane. I will discuss examples of the students' generalizing actions, and specific operations that were reflectively abstracted to produce their generalizations. This will contribute new types of generalizing actions to existing generalization frameworks that help characterize students' generalizing in advanced mathematics.
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