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Utah State University

Mathematics education

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An Investigation Of Active Learning On Students' Understanding Of Infinite Series Convergence, Zachary Coverstone Aug 2022

An Investigation Of Active Learning On Students' Understanding Of Infinite Series Convergence, Zachary Coverstone

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Many students encounter infinite series for the first time as part of their single-variable calculus coursework. As part of this initial engagement with infinite series convergence, students grapple with infinity in ways that they haven't had to before. For instance, the fact that summing infinitely many terms sometimes yields a finite value, but at other times diverges, poses significant conceptual challenges.

I recently designed and implemented a curriculum for second-semester calculus centered in doing problems to help students develop ideas surrounding infinite series convergence, rather than using direct instruction. The unit design was patterned after a workshop at the Park …


Full Issue: Journal On Empowering Teaching Excellence, Volume 6, Issue 1, Spring 2022 May 2022

Full Issue: Journal On Empowering Teaching Excellence, Volume 6, Issue 1, Spring 2022

Journal on Empowering Teaching Excellence

The full-length 2022 Special Issue (Volume 5, Issue 3) of the Journal on Empowering Teaching Excellence

Access the online Pressbooks version (with downloadable EPUB format) here.

The Spring 2022 issue begins with research that explores the perceptions of pre-service teachers relative to learning mathematics and science, with suggestions for how findings can impact curriculum and further research. The focus on pre-service teachers continues with research into their sense of self-efficacy with instructional technologies and whether specific techniques increase comfort level with technologies. Next, researchers explore the products that Generation Z students value most in their learning of a second language, …