The requirements associated with school accountability measures, the increased demands instituted by mandated reforms, and the issues of global competition present an authentic need to support teachers in their desire to be successful in their teaching practices. This basic qualitative research study used semi-structured, open-ended interview questions constructed to answer the central question of the study: What effective reflective thinking methods, strategies, and techniques are used by public school mathematics teachers in grade four when their students demonstrated exemplary performance on the state high-stakes mathematics test? A gap existed in the scientific knowledge regarding significant studies in research identifying clear and consistent teacher reflective practices, especially related to how teachers use reflective thinking to improve their teaching of mathematics. Understanding fourth-grade mathematics teachers' reflective thinking practices involving methods, strategies, and techniques in the classroom when their students demonstrate mastery on the state high-stakes test. The larger population for the study included state-certified fourth-grade teachers of mathematics in one school district from various public schools in the southeastern section of the United States. The sample consisted of four fourth-grade public school mathematics teachers who use reflective thinking practices and had students who demonstrated exemplary performance on the mathematics state high-stakes test. The data analysis uncovered three themes. The findings suggested that teachers who were considered to be successful used reflective practices. Recommendations for further research study included how teachers plan for reflection to support instruction in the classroom, how successful teachers provide evidence of reflective practices, and ways to find time to support teacher's reflective practices. [The dissertation citations contained here are published with the permission of ProQuest LLC. Further reproduction is prohibited without permission. Copies of dissertations may be obtained by Telephone (800) 1-800-521-0600. Web page: http://www.proquest.com.bibliotheek.ehb.be/en-US/products/dissertations/individuals.shtml.]