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Students' Mathematics Self-Efficacy, Anxiety, and Course Level at a Community College PDF

106 Pages·2017·0.91 MB·English
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Walden University ScholarWorks Walden Dissertations and Doctoral Studies Walden Dissertations and Doctoral Studies Collection 2017 Students' Mathematics Self-Efficacy, Anxiety, and Course Level at a Community College Scott Reiner Spaniol Walden University Follow this and additional works at:https://scholarworks.waldenu.edu/dissertations Part of theScience and Mathematics Education Commons This Dissertation is brought to you for free and open access by the Walden Dissertations and Doctoral Studies Collection at ScholarWorks. It has been accepted for inclusion in Walden Dissertations and Doctoral Studies by an authorized administrator of ScholarWorks. For more information, please [email protected]. Walden University COLLEGE OF EDUCATION This is to certify that the doctoral study by Scott Spaniol has been found to be complete and satisfactory in all respects, and that any and all revisions required by the review committee have been made. Review Committee Dr. Christian Teeter, Committee Chairperson, Education Faculty Dr. Andrew Alexson, Committee Member, Education Faculty Dr. Andrea Wilson, University Reviewer, Education Faculty Chief Academic Officer Eric Riedel, Ph.D. Walden University 2017 Abstract Students’ Mathematics Self-Efficacy, Anxiety, and Course Level at a Community College by Scott R. Spaniol MA, Eastern Illinois University, 2009 BA, Saint Louis University, 2007 Doctoral Study Submitted in Partial Fulfillment of the Requirements for the Degree of Doctor of Education Walden University May 2017 Abstract 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. Students’ Mathematics Self-Efficacy, Anxiety, and Course Level at a Community College by Scott R. Spaniol MA, Eastern Illinois University, 2009 BA, Saint Louis University, 2007 Doctoral Study Submitted in Partial Fulfillment of the Requirements for the Degree of Doctor of Education Walden University May 2017 Dedication For my Dad. Acknowledgments Thank you to all my family, friends, colleagues, and teachers who made this possible, especially: to my fiancée, Sara, for being my sounding board, editor, and motivation; to my mom, Shari, for teaching me the importance of learning new things; and to my grandpa, Roland, for being an inspiration to follow as I worked to complete my Ed.D. Table of Contents List of Tables ..................................................................................................................... iv Section 1: The Problem ........................................................................................................1 Introduction ....................................................................................................................1 Definition of the Problem ..............................................................................................1 Rationale ........................................................................................................................3 Evidence of the Problem at the Local Level ........................................................... 3 Evidence of the Problem from the Professional Literature ..................................... 3 Definitions......................................................................................................................4 Significance....................................................................................................................5 Research Questions ........................................................................................................5 Review of the Literature ................................................................................................7 Theoretical Framework ........................................................................................... 7 Current State of Developmental Mathematics ........................................................ 9 Math Self-Efficacy and Anxiety ........................................................................... 12 Implications..................................................................................................................15 Summary ......................................................................................................................16 Section 2: The Methodology ..............................................................................................18 Introduction ..................................................................................................................18 Research Design and Approach ...................................................................................18 Setting and Sample ......................................................................................................19 Instrumentation and Materials .....................................................................................26 i Data Collection and Analysis.......................................................................................27 Assumptions, Limitations, Scope and Delimitations ...................................................34 Protection of Participants’ Rights ................................................................................35 Conclusion ...................................................................................................................36 Section 3: The Project ........................................................................................................38 Introduction ..................................................................................................................38 Description and Goals ..................................................................................................38 Rationale ......................................................................................................................40 Review of the Literature ..............................................................................................42 Professional Development .................................................................................... 43 Increasing Math Self-Efficacy and Decreasing Math Anxiety ............................. 44 Project Description.......................................................................................................50 Potential Resources and Existing Supports........................................................... 50 Potential Barriers .................................................................................................. 51 Proposal for Implementation and Timetable......................................................... 52 Roles and Responsibilities of Student and Others ................................................ 53 Project Evaluation ........................................................................................................54 Implications Including Social Change .........................................................................56 Local Community ................................................................................................. 56 Far-Reaching ......................................................................................................... 56 Conclusion ...................................................................................................................57 Section 4: Reflections and Conclusions .............................................................................58 ii Introduction ..................................................................................................................58 Project Strengths and Limitations ................................................................................58 Recommendations for Alternative Approaches ...........................................................59 Scholarship, Project Development, and Leadership and Change ................................60 Reflection on Importance of Work ..............................................................................64 Implications, Applications, and Directions for Future Research .................................65 Conclusion ...................................................................................................................67 References ..........................................................................................................................69 Appendix A: Professional Development Project ...............................................................83 Appendix B: MSEAQ ........................................................................................................92 Appendix C: Email to Students..........................................................................................94 Appendix D: Permission to use MSEAQ...........................................................................95 iii

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college-level math students, but the role of math self-efficacy and math anxiety on these students' learning was complete the self-report Mathematics Self-Efficacy and Anxiety Questionnaire; 32 developmental math Super Brain Yoga and Varmalogy in Ninth Standard Students. The International.
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