## Graduation Semester and Year

2022

## Language

English

## Document Type

Dissertation

## Degree Name

Doctor of Philosophy in Mathematics

## Department

Mathematics

## First Advisor

James A. M. Álvarez

## Abstract

This case study examines the self-regulation strategies and academic integration of first-semester undergraduate students enrolled in precalculus and first-semester calculus at a large urban university in the southwestern United States. I use a sequence of interviews to examine the relationship of mathematics self-efficacy and mathematics identity on students’ use of these strategies. Five interviews occurred during the Fall 2021 semester with three precalculus and six calculus students, and I distributed initial surveys to thirteen first-semester calculus sections and five precalculus sections. To analyze the data, I integrated frameworks from Zimmerman and Pons (1986) and Wolters (1998) on the self-regulation strategies used in academic settings. I used quantitative and qualitative analysis to examine the data. This included analyzing the correlation between the use of self-regulation strategies versus both self-efficacy and mathematics identity. I also used content analysis to code instances of self-regulation strategy usage in the student interviews and how students adapt their strategy usage during the transition from high school mathematics courses to college mathematics courses. Through the analysis of these interviews and surveys, I present a multiple case study highlighting the transitional difficulties that the interviewed students faced, how they overcame these difficulties using self-regulation strategies, and how these results align with the larger context of the self-regulation strategies used by students as reported on the surveys. Findings suggest a positive correlation between students’ self-regulation strategy usage versus their mathematics identity and self-efficacy. Furthermore, based on data analysis, three broad self-regulation strategies were frequently used by academically successful students during their transition to college-level mathematics courses: metacognitive self-regulation, time and study environment, and effort regulation. The use of these self-regulation strategies and others were present in academically successful students. Additional research is then needed on how to best foster the use of these beneficial self-regulation strategies throughout their academic careers.

## Keywords

Calculus, Precalculus, Mathematics Education, Self-regulation, Identity, Self-efficacy

## Disciplines

Mathematics | Physical Sciences and Mathematics

## License

This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.

## Recommended Citation

Turner, Kyle Russell, "ACADEMIC INTEGRATION AND SELF-REGULATION STRATEGIES IN PRECALCULUS AND CALCULUS I" (2022). *Mathematics Dissertations*. 179.

https://mavmatrix.uta.edu/math_dissertations/179

## Comments

Degree granted by The University of Texas at Arlington