Investigation the relationship between beliefs and components of constructivism in mathematics classroom environment

Mathematics teacher's philosophy and view about the nature of mathematics play a vital role in their schema of the teaching and learning process; and this influence on quality of instructional directly. The aim of this research is to describe and identify the major beliefs of constructivist mathematics teachers. The beliefs of 5 secondary mathematics teachers were investigated carefully, and also evaluated the extent of consistency of their classroom environments with principles of constructivism in the study. The instruments of data collecting were beliefs survey questionnaires, survey questionnaire of construction oriented classroom environment, semi-structured interviews and classroom observation. Data were summarized and structured by content analysis method. The results of data relating to 5 teachers showed that 2 of them had the most consistent between classroom environments and constructivism principles. Investigating these 2 teacher's beliefs led to identification of 6 core beliefs that are consistent with constructivism principles.