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In a longitudinal study of 496 students in 27 self-contained German elementary school classrooms, performance in mathematical word problems and arithmetic tasks was measured at the end of Grades 2 and 3. A questionnaire was used to assess the degree to which teachers' pedagogical content beliefs in elementary mathematics reflect a cognitive constructivist orientation, rather than an associationist or direct-transmission view of learning and teaching. Our findings show that a cognitive constructivist orientation was associated with larger achievement gains in mathematical word problems. Moreover, teachers with a direct transmission view were not more successful than teachers with a cognitive constructivist orientation in fostering students' computational proficiency.
Staub et al. (Sat,) studied this question.