The effects of teachers' beliefs on elementary students' beliefs, motivation, and achievement in mathematics

According to Pajares (1992), teachers' beliefs can be deeply personal, unaffected by persuasion, and either implicitly or explicitly expressed in daily routines. Their beliefs can be formed by chance, an intense experience or a succession of events, and may include beliefs about different facets of teaching and learning. Teachers hold beliefs about students, learning, teachers and teaching, the nature of knowledge and knowing, the roles of schools in society, and the curriculum, to name a few (Levitt, 2001). Whatever their origin or object, research has shown that beliefs influence a wide variety of cognitive processes including memory, comprehension, deduction and induction, problem representation, and problem solution (Pintrich, 1990). Importantly, the study of teachers' beliefs provides a valuable means of analyzing and understanding the complex relationship between beliefs and student outcomes (Hofer and Pintrich, 2002; Pajares, 1992; Schraw and Olafson, 2002).