Instructional Strategies Used by Developmental Mathematics Instructors in Missouri Public Community Colleges to Promote Active Learning


Book Description

This study sought to identify the instructional strategies used by developmental mathematics instructors in Missouri's public 2-year colleges to engage students in the learning process, determine the cognitive complexity of the instructional strategies, and find out the support needed by these instructors to engage their students in the learning process. A sequential mixed method design was employed in which quantitative and qualitative data was collected. Initial participants in this study included developmental mathematics instructors from all 13 of Missouri's 2-year public community colleges, making for a total of 494 instructors. Quantitative data statistical analysis was completed on the demographic data, as well as on the rating and implementation of recommended instructional strategies using the Qualtrics survey tool. Qualitative analysis was completed on the instructor descriptions of strategies for engaging students in the learning process. Additionally, three participants were chosen from the survey for case study analysis in which three observations, post-observation interviews, and artifact collections were used to obtain more extensive qualitative data. Results indicate that developmental mathematics instructors describe the methods they use to engage students in the learning process comparably to those instructional strategies as recommended by the American Mathematical Association of Two-Year Colleges (AMATYC, 2006) to promote active learning, while also including additional strategies. How the instructors rated the instructional strategies as recommended by AMATYC (2006) are given in depth. An overview of the instructional strategies employed by three instructors who were observed, and the cognitive complexity of the tasks and questions used in these instructional strategies is given. Furthermore, xii recommendations are given for the support needed by developmental mathematics instructors to aid them in engaging their students in the learning process. Implications are offered for the (1) AMATYC (2006) Framework, (2) Professional development on discovery-based learning, (3) Professional development on cognitive complexity of tasks and questions, and (4) Support needed to implement instructional strategies.







Exploring Best Practices in Developmental Mathematics


Book Description

Currently, many community colleges are struggling with poor student success rates in developmental math. Therefore, this qualitative study focused on employing best practices in developmental mathematics at an urban community college in Dayton, Ohio. Guiding the study were the following research questions: What are the best practices utilized by a group of developmental mathematics instructors at an urban community college? How do these instructors employ such practices to enhance student learning? Participants consisted of 20 developmental mathematics instructors from Sinclair Community College in Dayton, Ohio who had taught at least six developmental math classes over a two-year period and who self-reported success rates of at least 60% during that time. This study employed a pre-interview document and a face-to-face interview as the primary research instruments. Using the constant comparison method (Merriam, 2002a), the researcher constructed findings from both approaches regarding best practices in developmental math. Such practices included communication with students, the art of organization, collaborative learning, frequent low stake assessments, technology supplements, the use of mnemonics and memorable wording, and manipulatives, visuals and real-life applications. When addressing the topic of acceleration, the participants reported that this strategy is a proper fit for some students but not all. The following conclusions were based on the findings from this study. Effective communication should be established between developmental math instructors and students as well as among developmental math instructors. Developmental math faculty ought to work with their students in developing their organizational skills. Developmental math instructors should couple the implementation of frequent low stake assessments with student outreach. Collaborative learning can be beneficial to some developmental math students, but instructors must take into account the composition of the class as well their own comfort level with collaborative learning. It is also important for developmental math instructors to employ some creativity in their classes. Accelerated instruction should be reserved for higher ability developmental math students with a strong work ethic. Lastly, college administrators must recognize and respect instructor comfort level. The findings from this dissertation will assist both new and veteran developmental math instructors with implementing practices that will enhance student success in their classes. The findings are also intended to aid community college leaders in gaining an understanding of the culture of developmental math and assist these leaders in the implementation of policy and practice regarding developmental math.




Orchestrating Effective Practices in Developmental Math


Book Description

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.




Professional Development that Promotes Active Learning in Remedial Mathematics in Higher Education


Book Description

My goals were to increase instructors' use of teaching methods that promote active learning (AL) and to increase students' understanding of course content. To accomplish these goals, I created and implemented professional development (PD) that supported the use of AL-oriented teaching methods in a remedial mathematics course. I focused on three aspects of teaching that supports AL: classroom culture, meaningful tasks, and student collaboration.







Toward a Practice-oriented Approach to Developmental Education Theory


Book Description

The purpose of this exploratory, phenomenological study was to understand developmental mathematics in community college by examining the beliefs and worldviews of developmental mathematics instructors. This study interviewed 11 instructors in 4 demographically different community colleges within a single state with decentralized developmental mathematics programs in order to understand instructors' perceptions of the mission and outcomes of developmental mathematics, and suggestions for improving outcomes in developmental mathematics. This study also examined how instructors differentiated teaching developmental and college-level mathematics. Central to this study was an examination of instructors' personal theories of practice, which included instructors' epistemological worldviews. Although not all instructors differentiated teaching developmental and college-level mathematics, this study revealed that many instructors perceived developmental differences in student metacognitive skills and affective behaviors. Colleges whose faculties perceived a difference in developmental and college-level mathematics were in agreement as to how to improve outcomes in developmental mathematics. Instructors in this study understood the goal of developmental mathematics in pragmatic terms: helping students progress into the college-level mathematics required by their degree or certificate program. However, the metrics used by instructors to assess the success of developmental mathematics were neither uniform nor linked to the program goal. Instructors reported problems related to student learning, lack of progress, placement, instruction, and instructor preparation, and suggestions for improving outcomes that were college-specific and called for college- or system-level action. Examining instructors' worldviews using vignettes revealed that (1) instructors did not identify with one particular worldview, and (2) instructors intentionally held multiple worldviews. This study examined the applicability of Schraw and Olafson's (2002) worldview typology with instructors in higher education, and raised the possibility of a student support worldview. Developmental instructors in community colleges practice within their own understandings of developmental mathematics, without the guidance of a formal theory or philosophy. This study contributed to the theory that self-regulation is a key distinguishing characteristic between developmental and college-level students in community colleges, and supports the notion that the role of the developmental mathematics instruction is the promotion of self-regulation (Ley & Young, 1998; Wambach & Brothern, 2000).