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Students have often struggled in developmental math courses. Educators and policymakers have engaged in efforts to improve student learning and pass rates in these courses. One instructional model that has shown promise in improving student outcomes is the Emporium Model. The traditional lecture model of teaching is still the predominant model in practice. Research has found that student background characteristics are important factors in predicting success in developmental math. Some studies have been done investigating the comparative effectiveness of the Traditional and Emporium models, but little research has been performed in whether the effect of course format on student outcomes vary based on student background characteristics. This ex post facto study aimed to fill this gap in the knowledge base by comparing student performance in intermediate algebra based on course format after controlling for High School GPA, college entrance exam scores, gender, and ethnicity. The study further investigated the moderating effects of High School GPA, college entrance exam scores, gender, and ethnicity on course format in impacting student grades. The sample consisted of students who took intermediate algebra between the fall 2015 and fall 2019 semesters at a mid-sized private university on the West Coast of the United States. A series of sequential multiple regressions were performed to investigate the research questions. There was insufficient evidence to suggest that course format was a significant predictor of student grades after controlling for the other variables. No moderating effects for any of the investigated variables were detected. This suggests colleges and universities may wish to offer courses in multiple formats to give students and faculty a choice in how to take or teach a developmental math course. Care should be taken to not generalize the results of this study too broadly. The many ethnicity categories limited the power of this study to detect potential differences in student performance between the Emporium and Traditional models. Further studies should be performed investigating comparisons between the Traditional model and other instructional formats. Studies investigating potential moderating effects of student affective characteristics including math anxiety levels, goal achievement orientation, and confidence levels on course format could provide valuable insights to this issue.

It is well documented that students are struggling in developmental and introductory mathematics courses at community colleges across the nation. However, the reasons that these students struggle are not as well known. While numerous researchers have investigated the effects of inquiry-based learning on K-12 students, the research on this topic at the community college level is lacking. For my dissertation work, I have collected attitudinal surveys, observational data, and final exams from eight sections of a developmental mathematics course and nine sections of College Algebra at a large Texas community college. Approximately half of the instructors involved in the study incorporated some level of inquiry-based teaching strategies in their classrooms (referred to in this dissertation as “student-led” sections) while the remaining instructors employed a more direct strategy (referred to as “lecture” sections). Using this data, I investigated the relationships between teaching methods and attitudes, teaching methods and content knowledge, and attitudes and content knowledge. The evidence showed that IBL teaching strategies have a greater effect on students’ attitudes for students enrolled in a developmental mathematics course than those enrolled in College Algebra. IBL teaching strategies had no positive effects on developmental students’ performance on a skills-based final exam, but student-led sections performed just as well as lecture sections. In College Algebra, participants in student-led sections scored significantly higher than lecture sections on two out of five objectives: write the equation of a line in slope-intercept form (p<0.001) and use properties of logarithms to write an expression as a single logarithm (p<0.01). Lecture sections scored significantly higher than student-led sections on one objective: write the equation of an exponential function given two data points (p<0.05). However, the wording of the problems for this objective differed between lecture and student-led sections. Finally, when comparing the eight Basic Math Skills objectives with the 17 attitudinal variables, 1.4% of pairs were significantly correlated on the pre-survey and 15.4% of pairs were significantly correlated on the post-survey. Of the five College Algebra objectives and 17 attitudinal variables, 16.5% of pairs were significantly correlated on the pre-survey and 7.1% of pairs were significantly correlated on the post-survey. / text

Many students are entering colleges and universities in the United States underprepared in mathematics. National statistics indicate that only approximately one-third of students in developmental mathematics courses pass. When underprepared students repeatedly enroll in courses that do not count toward their degree, it costs them money and delays graduation. This study investigated a possible solution to this problem: Whether using a particular computer assisted learning strategy combined with using mastery learning techniques improved the overall performance of students in a developmental mathematics course. Participants received one of three teaching strategies: (a) group A was taught using traditional instruction with mastery learning supplemented with computer assisted instruction, (b) group B was taught using traditional instruction supplemented with computer assisted instruction in the absence of mastery learning and, (c) group C was taught using traditional instruction without mastery learning or computer assisted instruction. Participants were students in MAT1033, a developmental mathematics course at a large public 4-year college. An analysis of covariance using participants’ pretest scores as the covariate tested the null hypothesis that there was no significant difference in the adjusted mean final examination scores among the three groups. Group A participants had significantly higher adjusted mean posttest score than did group C participants. A chi-square test tested the null hypothesis that there were no significant differences in the proportions of students who passed MAT1033 among the treatment groups. It was found that there was a significant difference in the proportion of students who passed among all three groups, with those in group A having the highest pass rate and those in group C the lowest. A discriminant factor analysis revealed that time on task correctly predicted the passing status of 89% of the participants. It was concluded that the most efficacious strategy for teaching developmental mathematics was through the use of mastery learning supplemented by computer-assisted instruction. In addition, it was noted that time on task was a strong predictor of academic success over and above the predictive ability of a measure of previous knowledge of mathematics.

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At Mississippi State University (MSU), students who do not meet full admission requirements may enroll in the Summer Developmental Program (SDP). During this ten-week summer program, students take four developmental courses to prepare them for college-level courses. MA 0003 Developmental Mathematics is the course designed to prepare these students for MA 1313 College Algebra. In addition, the Department of Mathematics and Statistics at MSU offers MA 0103 Intermediate Algebra to prepare students for MA 1313 College Algebra. The purpose of this study was to determine (a) whether there were correlations between student grades in MA 0003, MA 0103, and MA 1313, (b) whether students? grades in MA 0003 and MA 0103 would predict their grades in MA 1313, and (c) whether their grades in MA 0003 would predict their grades in MA 0103. A Pearson product-moment correlation coefficient was performed on the data. The results showed that there were statistically significant correlations between grades in MA 0003 and MA 0103, between grades in MA 0003 and MA 1313, as well as between grades in MA 0103 and MA 1313 ( ). Linear regression was used to find the equations to predict students? grades in MA 1313 from their grades in MA 0003 and MA 0103 and predict grades in MA 0103 from grades in MA 0003. An analysis of the results revealed that the higher the grade a student received in the lower-level mathematics courses, MA 0003 and MA 0103, the higher the grade the student received in the college-level mathematics course, MA 1313. Based on this study, further research was recommended to investigate the success of the SDP students in courses above the level of MA 1313 and their success in graduating from MSU. Because the Department of Mathematics and Statistics at MSU has made changes in the college algebra course, MA 1313, since this study, further research should be conducted to investigate the performance of the SDP students in the ?new? college algebra.

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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

Success rates for students in developmental education are dismal. The greatest need for developmental education instruction occurs in mathematics, where high numbers of underprepared students generate great concern and the need for substantial changes in higher education institutions. With higher rates of students requiring remediation in the community colleges, the identification of effective policies and practices in developmental education is necessary to increase the achievement rates of developmental education students, and more specifically developmental mathematics students. This study explored the relationship between developmental mathematics student performance and developmental education programs of the Urban Community College District colleges. In addition, this study set out to identify institutional characteristics between colleges whose developmental mathematics students met state mandated academic outcomes at higher rates than their sister colleges. / text