The purpose of this study was to investigate the values a Taiwanese e1ementary school teache presents during mathematics instruction. Is there any relationship between these values? Wha kinds of factors influence these values? The investigation applied a theoretical framework, which i developed by Raths, Harmin; and Simon's values clarification, to define the values. Data wer collected through classroom observations and interviews. The research subject is a female who ha been teaching elementary school for 21 years. The research results indicated: 1. The Raths, et al Theory needed revision and the operational definition for "value" was reconstructed, 2. According t the operational definition of value, there are five values that the elementary school teacher presented (e.g., personal efforts and understanding are essential to learning mathematics, the purpose of educatio is to reinstate students' original enlightenment). The degree of prizing influences the relationships of th above five values, 3. The factors that may influence values include: religion, the reform of curriculum societal values, knowledge, personal ability, and the sects of religion. Finally, according to the researc results, the following assertions are made: the research subject was in contact with Buddhism and thi has implications for teacher education, and the consistency between the new curriculum and Buddhis influenced the research subject.