Basic Skills Mathematics: the Perspectives of Community College Mathematics Instructors Regarding Factors Affecting Student Success


Book Description

Basic skills education is one of the greater challenges facing higher educational institutions in the United States in the 21st century. Each year, students around the United States graduate high school unprepared to handle the demands of higher education. The following qualitative phenomenological study examines basic skills mathematics instructors' perceptions regarding teaching methods, expectations, and attitudes that facilitate the success of basic skills mathematics students at community colleges. Interviews were conducted with seven community college basic skills mathematics instructors who currently teach basic skills mathematics at a Northern California community college. The three research questions were: 1. What are the basic skills mathematics instructors' perceptions regarding the teaching methods that are most useful for facilitating student success in community college basic skills mathematics courses? 2. What are basic skills mathematics instructors' perceptions regarding the impact of teachers' expectations on student success in their basic skills mathematics courses? 3. What are basic skills mathematics instructors' perceptions regarding the impact of teachers' attitudes on student success in their basic skills mathematics courses? Data analysis included text analysis, identifying and coding emerging themes, and interpreting the findings. During the data analysis process, the researcher identified the following emerging themes: tailored classroom instruction, supplemental instruction, innovative instruction, students willing to engage in the learning process, and connecting and building positive rapport with the students. The findings of the study answered the three research questions. In answering research question one, the researcher concluded that the participants perceived that the flexibility they have in using diverse teaching methods allows them to meet the students' needs, enhance the students' receptivity of the subject taught, and create a supportive teaching and learning environment that facilitates students' success. In answering the second research question, the researcher determined that the participants perceived that their high expectations for students to actively engage in the learning process and take charge of their own learning helps the students persist and succeed in any learning environment. In answering the final research question the researcher concluded that participants perceived that their positive attitudes help build positive relationships with the students that include clear communication, trust and mutual respect. This study concludes that there is not one isolated factor that promotes students' learning and success, but rather it is a combination of the participants' teaching methods, expectations, and attitudes that help create a positive nurturing environment conducive to teaching and learning basic skills mathematics.




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.




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.




Programmatic Practices that Promote Student Success in Community College Math Developmental Education


Book Description

Almost half of all college students in the U.S. attend community colleges; almost sixty percent of these students are referred to remedial English, reading or math through means of a standardized placement exam, with math being a the greatest area of need. While these courses, often as many as four in a sequence, are meant to be a boost for students unprepared for college-level coursework, they have low success rates and few students make it through the entire sequence to succeed in a first college-level math course, leaving them far short of graduation or a meaningful credential. While developmental (aka remedial) education, those courses or sequences of courses below the college-level, has received a lot of attention recently due to its high costs and low student success rates, current research has largely failed to document, examine, or classify programmatic approaches to developmental education. This lack of information that would facilitate analysis is due in part to the relatively recent recognition of the problem, but it is also because of the difficulty accessing reliable information about large numbers of programs and the range of definitions, student populations, and perceived quickly shifting innovations (some may go as far as to say educational fads) that developmental education programs encompass. Unfortunately, this lack of a comprehensive picture of developmental education programs has led to either the complete elimination of the programs as unnecessary and perhaps counterproductive for students, or to a focus on a number of disparate approaches with little underlying theory behind them or even agreement as to the problem. This research is centered in 28 Washington state community college campuses and examines a mixed methods approach to answer three main questions: 1) To what extent and in what ways do math developmental program elements vary across institutions? Developmental education may vary widely even within one relatively homogenous state system of community colleges, such as the system in Washington. Programs have differing resources devoted to them, as well as differing pedagogy, intervention strategies and approaches, student referral and advancement policies, etc., and this variation has not even been fully described in previous research. 2) To what extent do student outcomes, as measured by completion of the developmental sequence, completion of a first college-level math course, and highest education reached, vary across the different math developmental education programs, after controlling for student characteristics, among the 28 community colleges in Washington State? What proportion of overall variance is contributed by student characteristics vs. programmatic factors? Wide institutional variation has been found in previous outcomes studies of professional-technical programs leading to terminal associate degrees in Washington, suggesting that institutional or programmatic variables may be contributing significantly to student success or lack of it (Scott-Clayton & Weiss, 2011). 3) What program policies and practices seem to be associated with positive outcomes for developmental education students? Can developmental education programs be categorized in some meaningful way? Is there a "typology" or categorization of programs that identifies characteristics that seem to be associated with either positive or negative results? For example, do schools with better (or worse) results, net of student characteristics, share identifiable programmatic characteristics in terms of policy and practice variables that are positively or negatively associated with student outcomes? I find from this research that strategies such as reducing the total number of courses in developmental education pathways, implementing alternatives to placement in developmental math via standardized tests, and better preparing students for assessment, are associated with greater student success in completing the developmental math sequence and in completing a first college level course. I also find that colleges with these more innovative features are significantly more successful than their more traditional institutional peers in terms of student outcomes. However, I also find no variation between colleges in the outcome of highest education reached, after controlling for student background characteristics. It seems that, at least for this sample, college did not have a significant association with ultimate educational attainment. Diving deeper to examine colleges' policies, practices, and the perspectives of students, faculty, and administrators, I find wide variation in pathways, program structure, assessment policies, connection to advising, tutoring, and institutional research departments, and day-to-day concerns and operations. One commonality is the conviction that teaching that addresses student motivation and confidence in their ability to learn math and peaks their interest, factors not usually examined systematically in higher education policy research, is central to developmental education student success. This research informs strategies for increased college completion for underprepared students. College completion has emerged as of paramount importance in fostering U.S. economic development and global competitiveness, yet if half of college students are unprepared for college work and thus are unlikely to persist to degree completion despite their motivation to attend college, serious attention should be paid to what can be done to increase their odds of success.




Mathematical Proficiency for All Students: Toward a Strategic Research and Development Program in Mathematics Education


Book Description

A clear need exists for substantial improvement in mathematics proficiency in U.S. schools. The RAND Mathematics Study Panel was convened to inform the U.S. Department of Education's Office of Educational Research and Improvement on ways to improve the quality and usability of education research and development (R&D). The panel identified three areas for focused R&D: development of teachers' mathematical knowledge used in teaching; teaching and learning of skills needed for mathematical thinking and problem-solving; and teaching and learning of algebra from kindergarten through the 12th grade.







Student Success in College


Book Description

Student Success in College describes policies, programs, and practices that a diverse set of institutions have used to enhance student achievement. This book clearly shows the benefits of student learning and educational effectiveness that can be realized when these conditions are present. Based on the Documenting Effective Educational Practice (DEEP) project from the Center for Postsecondary Research at Indiana University, this book provides concrete examples from twenty institutions that other colleges and universities can learn from and adapt to help create a success-oriented campus culture and learning environment.




Inside the Community College Developmental Math Classroom


Book Description

This study provides a better understanding of how student and faculty perceive the developmental math classroom experience and the impact on students’ ability to successfully complete developmental math courses. A significant contribution of the study is the identification of a positive correlation between students’ attitudes and perceptions of the classroom environment and successful course completion. A second major contribution is a detailed description of pedagogical strategies and classroom leadership behaviors exhibited by developmental math faculty who do, and do not, have high student pass rates. The three research questions for this study were: 1. What is the relationship between students’ attitudes and perceptions of their developmental math classroom experience and their likelihood for successful course completion? 2. To what extent are student and faculty attitudes and perceptions of the developmental math classroom learning environment congruent? 3. What are the pedagogical strategies and classroom leadership behaviors exhibited by developmental math faculty who do, and do not, have high student pass rates in these courses? Two theoretical frameworks; Goal Theory Model of Achievement Motivation and Transformational Leadership; were used to guide this research. This mixed methods study was a case study of developmental math students and faculty from a medium sized rural community college in Texas, enrolled and teaching in the fall 2013. The sample included 661students enrolled in developmental math during the fall 2013 semester. There were a total of 17 developmental math instructors, of which three were employed full time, and 14 were employed part time. Quantitative data was collected from all 17 faculty and seven of these faculty were interviewed about the instructional practices they use when teaching developmental math students. A quantitative analysis was conducted of secondary course evaluation and student success data. A factor analysis was first conducted and reliability established for the course evaluation data. Next, a Pearson product moment r correlation was conducted in to determine the correlation between student perception and student success rates. The qualitative methods employed included 7 interviews (2 full time and 5 part time) with recruited developmental math faculty. Transcribed interview data were organized by thematic data analysis using a deductive process (Creswell, 2008) The Pearson product-moment r correlation conducted in this study found moderate positive correlations, r(14) = .64, p




Helping Children Learn Mathematics


Book Description

Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.




Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning


Book Description

The purpose of this handbook is to help launch institutional transformations in mathematics departments to improve student success. We report findings from the Student Engagement in Mathematics through an Institutional Network for Active Learning (SEMINAL) study. SEMINAL's purpose is to help change agents, those looking to (or currently attempting to) enact change within mathematics departments and beyond—trying to reform the instruction of their lower division mathematics courses in order to promote high achievement for all students. SEMINAL specifically studies the change mechanisms that allow postsecondary institutions to incorporate and sustain active learning in Precalculus to Calculus 2 learning environments. Out of the approximately 2.5 million students enrolled in collegiate mathematics courses each year, over 90% are enrolled in Precalculus to Calculus 2 courses. Forty-four percent of mathematics departments think active learning mathematics strategies are important for Precalculus to Calculus 2 courses, but only 15 percnt state that they are very successful at implementing them. Therefore, insights into the following research question will help with institutional transformations: What conditions, strategies, interventions and actions at the departmental and classroom levels contribute to the initiation, implementation, and institutional sustainability of active learning in the undergraduate calculus sequence (Precalculus to Calculus 2) across varied institutions?