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Calibrated Judgments of Learning (CJOL) represent the degree to which students' judgments of learning (JOL) relate to their actual learning. Although a substantial amount of research has been conducted on calibration and JOL in various domains of psychology, only a growing number of studies have begun to address the use of CJOL in applied educational settings. This study investigated the use of CJOL in university developmental math courses. Study participants included 185 men and 100 women with ages ranging from 18 to 61 years (M = 23.48, SD = 5.95). Study results indicate that these developmental math students were fairly accurate in their perceptions of their math performance. When inaccurate, students most commonly under estimated their performance. Students' accuracy was also greatly influenced by the difficulty of math questions on the tests. High performing students were consistently more accurate than lower performing students. Over the course of the study, students received feedback on their accuracy in an attempt to facilitate improved accuracy. Results indicated that students' accuracy decreased with time; likely this was due to the increase in the difficulty of math questions on each test.

Research suggests that student success in mathematics is positively correlated to math self-efficacy and negatively correlated to math anxiety. At a Hispanic serving community college in the Midwest, developmental math students had a lower pass rate than did college-level math students, but the role of math self-efficacy and math anxiety on these students' learning was unknown. This causal comparative, correlational study, guided by social cognitive theory and math anxiety research, hypothesized that students in developmental math would have lower levels of math self-efficacy and higher levels of math anxiety, and that significant correlations would exist between course level, self-efficacy, and anxiety. All math students at this setting (N = 1,019) were contacted to complete the self-report Mathematics Self-Efficacy and Anxiety Questionnaire; 32 developmental math and 103 college-level math students returned the survey. A random sample of 32 college-level students was selected to create equal group sizes for the data analyses. Independent samples t-tests revealed no significant differences in self-efficacy and anxiety between the groups. Significant correlations were found for course level, self-efficacy, and anxiety. Lower course level math students reported on average significantly lower levels of self-efficacy and significantly higher levels of anxiety than did upper course level students. A professional development program was created to educate faculty about math self-efficacy and math anxiety and to implement strategies that may increase math self-efficacy and decrease math anxiety over time. This doctoral study has the potential to create social change by offering educators new insight into the role of math self-efficacy and math anxiety in student learning.

Although many academically underprepared students are able to attend community colleges via open access policies, these students struggle with completing their degrees. At a rural community college in the southeastern United States, students who tested into developmental education courses have struggled more with persistence and completion than have their college-ready counterparts. The purpose of this causal-comparative study was to evaluate the influence that student coaching had on student success in developmental math at this community college. Tinto's dropout theory and Astin's engagement theory provided the theoretical framework for a study of 62 developmental math students who were offered student coaching services during the course. Multiple one-way ANOVAs were performed to determine if student coaching had any influence on the dependent COMPASS test scores based on students' level of participation with the service. Students who participated in 0-2 coaching sessions (n = 32) had statistically significantly lower COMPASS test scores than students who participated in 3 or more coaching sessions (n = 30). None of the demographic characteristics had an effect on coaching participation. An evidence-based project designed to enhance coaching participation is offered to increase student persistence and completion. Implications for positive social change include increased success rates in developmental courses which should lead to increased persistence. Positive social change occurs when students are able to achieve incremental successes in their developmental courses, which could better leverage them to achieve subsequent higher education goals of degree completion and to pursue careers with better salaries associated with higher education completers.

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.

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The purpose of this study was to determine the impact of the cognitive monitoring learning log (CMLL), as a metacognitive strategy, on college students' developmental mathematics course success, problem-solving performance, and attitude toward mathematics and the CMLL. Using a pretest-posttest control group design that employed mixed research methodologies, the researcher examined data collected from four sections of a pre-algebra course; two of which received the CMLL intervention. Data sources included testing, surveys, student self-report, and interviews. Data analysis using analysis of variance (ANOVA), independent and paired samples t-tests were utilized, along with appropriate case analysis. Important findings that emerged from this study are as follows: the CMLL strategy can have some bearing on specific student outcomes (such as course grades); it can positively impact students' attitudes towards math, but not their problem-solving performance or attitudes towards CMLL. The case study analysis based on interviews and logs written by students provided additional insight into their thoughts and perceptions, supplementing the story gathered from the quantitative data. Eighty-eight percent (88%) of those interviewed reported benefits of the CMLL strategy. While findings from this study are inconclusive as to the impact of learning logs in the cognitive aspects, it was not shown to be a detriment either. Efforts should be made to determine how best to intertwine the CMLL strategy with other methods of instruction that will benefit college students in developmental mathematics courses the most. Recommendations for further study and future research considerations are included. / CITE/Mathematics and Science Education

The importance of the study is grounded in the need to increase the success rates at community colleges, which is critical for meeting national goals for college attainment and promoting upward social mobility. The majority of community college students arrive unprepared for college-level math and are placed into developmental math. A drive to increase math performance has focused on course redesigns incorporating adaptive learning technologies. While adept at adapting subject matter to students' individual needs, there remains the need to understand the role of student metacognition in the learning process. The purpose of this study is to investigate the association between specific learner attributes and academic success in developmental math for students who are acquiring their skills through an adaptive learning technology environment. The Motivated Strategies of Learning Questionnaire, GRIT, and Mental Toughness Questionnaires were used to uncover relationships and differences between measured traits, student success, and demographic items such as age, gender, race, amount of time spent in paid work, and previous credits. Survey results were analyzed using a correlation research design and demonstrated significant relationships between time and gender, topics mastered and race, time and Motivated Strategies for Learning, time and self-regulation, and grade and emotional control. The study makes recommendations about how to best develop and leverage adaptive learning technologies in the future.

Developmental mathematics courses are intended to help underprepared students but often are a barrier for hundreds of students who fail these courses. High failure rates prevent students from achieving their academic goals, therefore; educational institutions are looking for methods to increase success in these courses. Such was the case at Florida State College at Jacksonville (FSCJ), where high failure rates in developmental mathematics presented problems to the institution and its students. To increase pass rates in developmental education courses, a college-wide redesign initiative introduced in 2009 led to the implementation of a research-based model for developmental education. This model would be implemented in the form of Academic Success Centers (ASC) incorporating practices tailored to increase student success and persistence. To examine success rates of students taking developmental education courses in the ASCs, the College conducted a longitudinal predictive analytics study known as the Chi-squared Automatic Interaction Detection (CHAID). The CHAID analyzed student success and retention of 10,051 developmental mathematics students over two academic terms. Additionally, the CHAID identified highly successful developmental mathematics teachers. These teachers, and the environment in which they taught (ASCs), became the basis of this qualitative study. The purpose of the study was two-fold. First, it focused on identifying pedagogical practices of highly successful developmental mathematics faculty who taught in the Academic Success Centers at FSCJ. Second, it focused on the areas of impact of the ASC as an environmental factor in student success. Data collected through observations, interviews, and documented analysis, along with the use of text mining, revealed that patterns emerged among participants in which they shared common beliefs about the importance of communicating with students, forming relationships with students, lecture and lab practices, the availability of physical resources, and the availability of academic support services within the environment where they interacted with their students. The intent of using the evidence from the key findings is to provide community college leaders with insight into pedagogical practices shared by highly successful developmental mathematics teachers and the role the learning environment serves in meeting students’ educational needs. / text