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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 …


Draw A Picture Of Yourself Learning Math: What Pre-Service Teachers’ Self-Portraits Illustrate About Their Complex Relationships With Mathematics, Samantha Sommers, Michelle Unigarro, Danielle Vantassel, Claudia M. Bertolone-Smith, Alison Puliatte May 2022

Draw A Picture Of Yourself Learning Math: What Pre-Service Teachers’ Self-Portraits Illustrate About Their Complex Relationships With Mathematics, Samantha Sommers, Michelle Unigarro, Danielle Vantassel, Claudia M. Bertolone-Smith, Alison Puliatte

Journal on Empowering Teaching Excellence

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The purpose of this study was to examine factors that may influence pre-service teachers’ relationships with mathematics. Elementary pre-service teachers who were enrolled in a mathematics methods course (n = 52) wrote a letter to math and drew a picture of themselves learning math. The self-portraits were analyzed by a team of undergraduate student researchers and teacher educators to identify themes related to the types of emotions, experiences, and situations displayed. The results of the self-portrait analysis indicated a higher percentage of negative emotions as compared to positive and neutral …


Pre-Service Elementary School Teachers’ Perceptions Of Themselves As Learners Of Mathematics And Science, Diana L. Moss, Rachel Wilson, Danielle Divis May 2022

Pre-Service Elementary School Teachers’ Perceptions Of Themselves As Learners Of Mathematics And Science, Diana L. Moss, Rachel Wilson, Danielle Divis

Journal on Empowering Teaching Excellence

Access the online Pressbooks version of this article here.

This study investigated how prospective elementary teachers view themselves as learners of mathematics and science during their last year in a teacher preparation program at an American university. Using drawing and reflections as the method for collecting data, prospective teachers were prompted to draw themselves and reflect on learning mathematics and draw themselves and reflect on learning science prior to and after their mathematics and science methods courses. Drawings (n = 147) were coded according to the presence or absence of several themes including physical objects, teachers, students, and environment. …