Low enrollment and high attrition of women in science, technology, engineering, and mathematics (STEM) continues to be an issue for postsecondary institutions. Improvements in representation of women has been seen in some of the agricultural and biological sciences; however, in many of the more math intensive areas such as geosciences, engineering, mathematics/computer science, and physical sciences (GEMP), women continue to be underrepresented leading to underrepresentation in the workforce and further exacerbating gender gaps. Studies suggest the lack of representation is not due to a gap in math ability between men and women, yet underrepresentation remains predominantly within math intensive STEM areas, suggesting something like math self-efficacy (MSE) and math self-concept (MSC) may be impacting enrollment and retention. The research presented here investigates the link between enrollment in GEMP STEM and retention in STEM with the factors of MSE, MSC, and gender. Structural equation modeling (SEM) with Bayesian estimation is used incorporating additional factors from previous research. Study results indicated that MSE and male were both positive and significant indicators of enrollment in GEMP STEM and retention in STEM. MSC was not a significant indicator of retention in STEM but was shown to be significant for GEMP STEM enrollment; however, it was negatively associated with GEMP STEM when combined with MSE. Several program related factors were also shown to be significant indicators of GEMP STEM enrollment and STEM retention. This study highlights the importance of MSE and gender for enrollment and retention and should encourage future efforts towards improving MSE as a possible method of increasing representation of women in underrepresented areas of STEM.

This thesis looks at the corequisite developmental math program at East Tennessee State University (ETSU) and compares the effectiveness to the previous developmental math program by comparing the student outcomes in MATH 1530. MATH 1530 is a non-calculus based statistic and probability course that satisfies most majors’ general education math requirements. ETSU sees approximately 1,000 students a year pass through MATH 1530 which is around 6.7% of the total enrollment at ETSU[9]. We are interested in the last five years of the developmental math program before it was changed to corequisite developmental math and the first five years of corequisite developmental math program. Our research compares the grades of the students in these courses to evaluate if one program is more successful in students’ grade outcomes. Our findings show no change in class medians but a change in the class means in favor of the corequisite developmental math program.

The purpose of this study was to explore and analyze which fifth-grade teacher inputs were the most important predictors of future outcomes of eighth-grade math students. This quantitative study looked at mathematical achievement through the lens of an education production function. The three inputs that were analyzed were fifth-grade teachers’ background; perception of professional development; and instructional practices and the relationship of those practices to achievement in eighth-grade math. In order to find the relationship between the above variables and student achievement, descriptive statistics, multiple correlations, and multi-variable regression analysis were conducted to examine which predictors had a stronger relationship between eighth-grade math outcomes than others. Taken as a whole, fifth-grade teacher math inputs in this study seemed to explain a small part of the variance regarding eighth-grade math achievement. As a whole, the more frequently students wrote and spoke about math in fifth grade as well as used math tools effectively, the better the outcome in eighth grade.

京都大学 / 新制・課程博士 / 博士(情報学) / 甲第24929号 / 情博第840号 / 新制||情||140(附属図書館) / 京都大学大学院情報学研究科知能情報学専攻 / (主査)特定教授 黒橋 禎夫, 教授 河原 達也, 教授 西野 恒 / 学位規則第4条第1項該当 / Doctor of Informatics / Kyoto University / DFAM

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The purpose of this study was to use a single subject research design to examine the effects of immediate feedback and delayed feedback within the Math to Mastery Intervention Package. The participants were 6 elementary school students who were performing approximately 1 year below grade level in math. A combined simple phase change design was used for the study. 3 of the students experienced the design in the A/B/A/C order, while the other 3 students experienced the design in a reversed order for B and C. During this study, ‘A’ represented the baseline phase and the return to baseline phase, ‘B’ represented the immediate feedback intervention phase, and ‘C’ represented the delayed feedback intervention phase. Each feedback phase was implemented separately for up to 4 weeks for each student. The final phase of intervention for each student included use of the most effective intervention condition after the student was exposed to both intervention feedback conditions. 2 weeks after the best intervention, follow-ups were conducted to determine if the students were able to maintain the skills that they were taught during the intervention. Results revealed that both intervention conditions were successful for addressing deficits in math academic performance. Improvement was seen for all 6 students with increases in digits correct per minute on single skill math worksheets, single skill math progress worksheets, and multiple skill math progress worksheets. Implications for school leadership within school settings are provided.

Thesis advisor: Marina Vasilyeva / Children's early math development is essential for their later academic achievement (Duncan et al., 2007). Yet, research shows that children from lower socioeconomic (SES) backgrounds encounter disadvantages even before starting school. This dissertation includes three empirical studies conducted in China, aiming to enhance our understanding of SES-related disparities in the home math environment and to develop cost-effective interventions for families in need. Study One suggests that parents of preschool children from high SES background demonstrate higher math efficacy, lower math anxiety, and higher math skills than those with higher levels of education. Moreover, high-SES parents engage more often in informal math activities with their preschool children and provide more enriched math talk. Path analysis further reveals an indirect path from SES to children’s math skills via parents’ characteristics and home math environment. Building on Study One, Study Two demonstrates that higher-educated parents have a greater tendency to spontaneously focus on numerical aspects in their environment, a tendency that significantly correlates with both the quantity and quality of their math talk. Study Three suggests that parental math talk can be implicitly increased by manipulating play contexts and toy features. Math-relevant contexts, like pretend grocery shopping, might elicit more math talk. Furthermore, material features within these contexts may shape the nature and amount of math talk: homogeneity increases discussions about absolute magnitude, while boundedness increases talk about relative magnitude.Theoretically, this dissertation enriches our understanding of the mechanisms underlying SES disparities in early math development. Practically, it identifies potential directions for designing cost-effective interventions to enhance home math environment. / Thesis (PhD) — Boston College, 2024. / Submitted to: Boston College. Lynch School of Education. / Discipline: Counseling, Developmental and Educational Psychology.

Abstract In a charter school in the Southwest United States, elementary students were struggling to attain proficiency in math and have been failing to meet the standards in math on the Arizona Instrument to Measure Standards test. As a result, these students may not have been prepared for more advanced math courses as they continued their schooling, and this failure to attain proficiency in math may continue to impact the school's ability to make adequate yearly progress. The purpose of this explanatory case study was to explore the perspectives of elementary math teachers toward teaching math, their preparation to teach math, and the possible influences they may have on their students' math skills development. The theoretical framework was self-efficacy theory. Data were gathered through questionnaires completed by 5 participants teaching kindergarten through 5th grade and through the investigation of archival data of their students' achievement test scores. Emerging themes were coded to record and organize relevant information. The participants indicated that they did not feel prepared to teach elementary math when entering the classroom after their teacher preparation programs and that they want to gain more content knowledge and learn more strategies to teach math. Social change may occur as the elementary math teachers are given a voice concerning the teaching of math, and this voice could be used in producing staff development and improving instruction.