The Relationship Among Mathematics Anxiety, Mathematical Self-Efficacy

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The University of Southern Mississippi The Aquila Digital Community Dissertations Fall 12-2010 The Relationship Among Mathematics Anxiety, Mathematical Self- Efficacy, Mathematical Teaching Self-Efficacy, and the Instructional Practices of Elementary School Teachers Lydia Joan Smith University of Southern Mississippi Follow this and additional works at: https://aquila.usm.edu/dissertations Part of the Curriculum and Instruction Commons, Educational Assessment, Evaluation, and Research Commons, Elementary and Middle and Secondary Education Administration Commons, and the Science and Mathematics Education Commons Recommended Citation Smith, Lydia Joan, "The Relationship Among Mathematics Anxiety, Mathematical Self-Efficacy, Mathematical Teaching Self-Efficacy, and the Instructional Practices of Elementary School Teachers" (2010). Dissertations. 671. https://aquila.usm.edu/dissertations/671 This Dissertation is brought to you for free and open access by The Aquila Digital Community. It has been accepted for inclusion in Dissertations by an authorized administrator of The Aquila Digital Community. For more information, please contact [email protected]. The University of Southern Mississippi THE RELATIONSHIP AMONG MATHEMATICS ANXIETY, MATHEMATICAL SELF-EFFICACY, MATHEMATICAL TEACHING SELF-EFFICACY, AND THE INSTRUCTIONAL PRACTICES OF ELEMENTARY SCHOOL TEACHERS by Lydia Joan Smith Abstract of a Dissertation Submitted to the Graduate School of The University of Southern Mississippi in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy December 2010 ABSTRACT THE RELATIONSHIP AMONG MATHEMATICS ANXIETY, MATHEMATICAL SELF-EFFICACY, MATHEMATICAL TEACHING SELF-EFFICACY, AND THE INSTRUCTIONAL PRACTICES OF ELEMENTARY SCHOOL TEACHERS by Lydia Joan Smith December 2010 The purpose of this quantitative, correlational study was to explore the relationships among the variables of mathematics anxiety, mathematical self-efficacy, mathematical teaching self-efficacy, and the instructional practice of elementary school teachers. The study included 320 practicing elementary teachers who teach mathematics to students in kindergarten through eighth grade. These teachers completed the Abbreviated Mathematics Anxiety Scale, the Mathematics Teaching and Mathematics Self-Efficacy survey, and the Patterns of Adaptive Learning Survey. Quantitative data analysis methods included descriptive statistics and multiple regression analysis. Results indicated a statistically significant relationship between mathematical teaching self- efficacy (efficacy) and mastery approaches to instruction, as well as a significant relationship between mathematical teaching self-efficacy (content) and performance- based instruction. The contradiction found within the data suggested an inconsistency among teachers regarding how their mathematical teaching self-efficacy influences their instructional practices. Additionally, results indicated that when teaching mathematics as it relates to mathematics content, teachers are confident in their abilities to provide performance - based instruction. This study offers findings to mathematics teacher educators and elementary mathematics teachers about the importance of identifying and ii resolving the internal conflict found within the subscales of mathematical teaching self- efficacy because of its relationship to elementary teachers‟ instructional practices. iii COPYRIGHT BY LYDIA JOAN SMITH 2010 The University of Southern Mississippi THE RELATIONSHIP AMONG MATHEMATICS ANXIETY, MATHEMATICAL SELF-EFFICACY, MATHEMATICAL TEACHING SELF-EFFICACY, AND THE INSTRUCTIONAL PRACTICES OF ELEMENTARY SCHOOL TEACHERS by Lydia Joan Smith A Dissertation Submitted to the Graduate School of The University of Southern Mississippi in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy Approved: Hollie G. Filce ____________________________________ Director James T. Johnson ____________________________________ Stacy Reeves ____________________________________ Margie W. Crowe ____________________________________ Ellen Ramp ____________________________________ Susan Siltanen ____________________________________ Dean of the Graduate School December 2010 ACKNOWLEDGMENTS Now glory be to God! By his mighty power at work within us, he is able to accomplish infinitely more than we would ever dare to ask or hope. Ephesians 3:20 My deepest appreciation, gratitude, and love are extended to the following: George Shirl and Janis A. Smith – Words cannot express the love and appreciation I have for you in my heart. You raised me to know who I am as an individual and encouraged me in all of my journeys. Your love has never failed me and your prayers have never ceased. Because of these things, I can say that I was able to go through the refining fires that have made me who and what I am today. Through your example, I learned the importance of a strong work ethic, internal tenacity, and unwavering determination. I also learned the importance of my faith in God and the intimate relationship I have with Jesus Christ. You have always taught me that through Him, all things are possible. I am so very thankful that He gave me to the both of you. I love you more than you will ever know! Thank you, Daddy and Momma. Charles Avery Nobles – You are my best friend, and I am so thankful that God brought you into my life. Your love and support have helped sustain me through this process, and we have made it through together. God has blessed us in so many ways, and I know the best is yet to come. You are my friend, my partner, my husband, and the love of my life. The world is wide open for us, and God has great, great things in store. I cannot wait until we experience them together. I love you, Avery Nobles! You are a good man. iv The Charles Guy Gregg Family – Words of thanks and appreciation cannot be spoken without putting you all at the top of my list. Sometimes God‟s greatest blessings come in the most unusual forms, and this time one of them came in the form of moving to Hattiesburg, Mississippi to earn a Ph.D. Through this experience, I was able to reconnect with my precious family. Thank you for having open arms, open hearts, and open doors during this whole process. Now I truly know how deeply my roots go, and I am so thankful that my life has come full circle (with each of you in it). I love each and every one of you. Dr. Hollie G. Filce – Champion is the only word that describes you. You made this process reasonable and possible for me, so saying thank you is certainly not enough. Your love and dedication for helping others is evident in everything you do. You do not cut corners or half-heartedly invest your efforts. You give everything you have from your time, your thoughts, your wisdom, and your guidance. Each of those things is priceless. Please know that you have my deepest appreciation, admiration, and respect. Thank you for your willingness to be my chair. We made it! And again, you are a champion! Dr. J.T. Johnson – Working with you was such a blessing, and I am thankful I had the opportunity to learn from you (in your classes and through this dissertation process). It truly was a gift from God to have a statistician who is beyond brilliant in his field but who also has the heart of a true teacher. You are the perfect combination. For this to have been an experience that others described to me as “impossible,” I certainly did not feel those pains because of your guidance and encouragement through the process. You are a prince, Dr. Johnson, and for this I will forever be grateful. v Dr. Marge Crowe, Dr. Ellen Ramp, and Dr. Stacy Reeves – A huge thank you certainly cannot cover the bases for all of the time, energy, and guidance each of you gave me during this learning experience. I could not have asked for a more wonderful, supportive, guiding, and insightful committee. I consider each of you an answered prayer, a blessing, and a workman in my path that God chose for this special experience in my life. Thank you all for everything you did on my behalf. You truly are appreciated. The following people are also significant in my life experiences. Ironically, their names fall in the same order alphabetically as they do in the order I met them. Dr. Melinda Gann – Every opportunity open to me in my career path is because of you. It never occurred to me that my life calling would have anything to do with Mathematics; however, when I arrived at Mississippi College, I soon learned differently. I took every class possible that you taught because of your love of the subject and your excellent way of teaching the content. You had ways of helping me understand what I was doing rather than just going through the motions. Your caring approach and invested efforts helped me realize that the “math shock” many students experience could be eliminated through the instructional approaches and concern of a caring, loving teacher. Dr. Gann, you are a blessing in my life, and I just wanted you to know it. Thank you. Dr. Gerald Hasselman – You counseled me, guided me, encouraged me, and supported me during several trying events in my life. Little did I know that my enrollment into a Masters program in Educational Leadership at Mississippi College would be my saving grace during such a transitional time during my life. You offered words of wisdom and direction when I struggled to see a clear path. I believe that MC vi had you listed as “professor;” however, I considered (and still consider) you a counselor, friend, and family member. Thank you for guiding me in the path of Curriculum and Instruction for this degree. Thank you for always being there when I need you. My message to you will always read, “With much love and appreciation, Joan.” Dr. Perrin Lowrey – It is amusing to me how family branches extend in so many directions. There are not many times in life where you find true, kindred spirits; however, I do believe that I found one in you. I learned (and continue to learn) so much from you, and I am beyond thankful that I have had an opportunity to work with you and learn from your knowledge and wisdom.
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