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.




Increasing Student Success in Developmental Mathematics


Book Description

The Board on Science Education and the Board on Mathematical Sciences and Analytics of the National Academies of Sciences, Engineering, and Medicine convened the Workshop on Increasing Student Success in Developmental Mathematics on March 18-19, 2019. The Workshop explored how to best support all students in postsecondary mathematics, with particular attention to students who are unsuccessful in developmental mathematics and with an eye toward issues of access to promising reforms and equitable learning environments. The two-day workshop was designed to bring together a variety of stakeholders, including experts who have developed and/or implemented new initiatives to improve the mathematics education experience for students. The overarching goal of the workshop was to take stock of the mathematics education community's progress in this domain. Participants examined the data on students who are well-served by new reform structures in developmental mathematics and discussed various cohorts of students who are not currently well served - those who even with access to reforms do not succeed and those who do not have access to a reform due to differential access constraints. Throughout the workshop, participants also explored promising approaches to bolstering student outcomes in mathematics, focusing especially on research and data that demonstrate the success of these approaches; deliberated and discussed barriers and opportunities for effectively serving all students; and outlined some key directions of inquiry intended to address the prevailing research and data needs in the field. This publication summarizes the presentations and discussion of the workshop.




Use of Best Practices in Developmental Mathematics Courses


Book Description

ABSTRACT: Abstract of Thesis Presented to the Graduate School of the University of Florida in Partial Fulfillment of the Requirements for the Degree of Master of Arts in Education USE OF BEST PRACTICES IN DEVELOPMENTAL MATHEMATICS COURSES By Afsheen Akbar August 2009 Chair: Thomaseina Lott Adams Major: Mathematics Education Community colleges in the United States are responsible for providing access to educational opportunities for students across all academic and vocational levels. Due to this open access mission, these institutions accept students at all levels of educational preparation. One of the biggest issues the system of higher education is facing is extreme under-preparedness of students in the area of mathematics. This results in an influx of students in developmental mathematics courses. There are certain programs to enhance the developmental mathematics programs at community college level, some more successful than others. This study will assess the use of best or promising practices in developmental mathematics courses across the state of Florida. The findings of the study will support recommendations that can be used to help increase the success rate of students in Florida developmental mathematics courses.




Third Symposium Proceedings. New Ways of Teaching and Learning


Book Description

This volume contains the papers presented at the Third International Symposium on New Ways of Teaching & Learning held from August 6-10, 2024, at the Aemilia Hotel, Bologna, Italy. The Conference was organized by The Mathematics Education for the Future Project - an international educational project founded in 1986 and dedicated to innovation in mathematics, statistics, science and computer education world wide.




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.




Increasing Student Success in Developmental Mathematics


Book Description

"The Board on Science Education and the Board on Mathematical Sciences and Analytics of the National Academies of Sciences, Engineering, and Medicine convened the Workshop on Increasing Student Success in Developmental Mathematics on March 18-19, 2019. The Workshop explored how to best support all students in postsecondary mathematics, with particular attention to students who are unsuccessful in developmental mathematics and with an eye toward issues of access to promising reforms and equitable learning environments. The two-day workshop was designed to bring together a variety of stakeholders, including experts who have developed and/or implemented new initiatives to improve the mathematics education experience for students. The overarching goal of the workshop was to take stock of the mathematics education community's progress in this domain. Participants examined the data on students who are well-served by new reform structures in developmental mathematics and discussed various cohorts of students who are not currently well served - those who even with access to reforms do not succeed and those who do not have access to a reform due to differential access constraints. Throughout the workshop, participants also explored promising approaches to bolstering student outcomes in mathematics, focusing especially on research and data that demonstrate the success of these approaches; deliberated and discussed barriers and opportunities for effectively serving all students; and outlined some key directions of inquiry intended to address the prevailing research and data needs in the field. This publication summarizes the presentations and discussion of the workshop"--Publisher's description.







Completion and Success of Community College Developmental Students Enrolled in Online Mathematics Coursework


Book Description

As online education gains popularity among both learners and postsecondary institutions, there is a movement toward identifying ways to promote student success. Over half of all higher education institutions offer online classes, due in part to the ease of offering and scheduling (Hoffman, 2006); educators seek ways to identify any demographic or academic characteristics that lead to success (Jaggars & Bailey, 2010). With the growth and popularity of online learning, postsecondary institutions must continue to develop best practices in the areas of online teaching pedagogies to promote student success. Within community colleges there is a growing acceptance of online courses and given that over 60% of incoming students test into developmental math coursework (Chen, 2016), answers must be sought to assist these developmental math learners toward online success. This study investigated the role of various student characteristics concerning student success in online developmental math course completion. The sample was students enrolled in a specific identified gateway mathematic course offered fully online in at a large suburban, public community college located in the northeastern part of the United States. Utilizing a mixed methods explanatory sequential design, explored course completion rates of developmental students enrolled in online college-level mathematics courses, the study analyzed the role of demographic and academic characteristics for developmental students enrolled in a college-level mathematics course offered fully online from the fall 2017 through fall 2019 academic year. A second phase of semi-structured interviews was conducted to explore aspects of student success from individuals identified in the first phase. As the success of developmental college students is at the forefront of postsecondary institutions in their mission for student success online, the ability to identify characteristics that could lead to student success may assist in recommendations for online instructors and assessment of developmental math student college-level mathematics course completion.




Breaking Barriers


Book Description

The fact college students often struggle in mathematics is not new. They exhibit a great deal of anxiety, dislike, and overall disinterest. Quantitative data displaying abysmal student success rates are widely available and shared. This book explores the complexity surrounding the issue of student difficulties in community college math. Though much quantitative research focuses on the faculty experiences and perspectives regarding methods and practices, the author puts the focus on students’ experiences. The book presents the results of a study focused on students who struggled in mathematics. Though their experiences varied, they all entered community college with a great deal of disgust and anxiety toward mathematics courses and requirements. These impressions and attitudes create barriers to success. However, all the students eventually succeeded in fulfilling their college-level mathematics requirement. The author presents these students’ experiences prior to entering community college, what led to both success and failure in their math courses, and the common themes leading to success and failure. Through these student responses, the author assists readers in gaining a better understanding of the community college student who struggles in math and how to break students’ community college math barriers to success. TABLE OF CONTENTS Preface 1. Math is a Four-Letter Word 2. The Framework for Developmental and Introductory College-Level Math 3.The Study, Settings, and the Participants 4. Prior Experiences in Math 5. Attempting Math and Community College 6. Navigating the First Developmental Math Course 7. Math Pathways and Completing Developmental Math 8. The End of the Rainbow 9 I Need More Math...Now What? 10. Lessons Learned in the Aftermath Appendix A: Analyzing the Results and Ensuring Accuracy Appendix B: Pre-Algebra and Introduction to Algebra Course Content Appendix C: Stand-Alone Quantway 1 and Statway 1 Course Content Appendix D: Elementary Algebra (all half semester) Content Appendix E: Intermediate Algebra Content Appendix F: Lead Questions for Student Participants Appendix G: Lead Questions for the Lester Community College Faculty Index BIOGRAPHY With 21 years of experience in mathematics education and 17 years as a community college math professor, the author has instructed courses from developmental math through calculus. He has served as Chair of the Developmental Math Department and Assistant Chair of the Mathematics Department at Sinclair College, Dayton, Ohio. He received the Jon and Suanne Roueche Award for Teaching Excellence and the Ohio Magazine Excellence in Education Award. His published research focuses on faculty viewpoints regarding pedagogical practices as well as conceptual research concentrating on developmental math. His article, "Acceleration and Compression in Developmental Math: Faculty Viewpoints," was awarded Article of the Year by the Journal of Developmental Education.




Mathematics Learning in Early Childhood


Book Description

Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.