Fraction division is generally introduced in sixth or seventh grade with this rule: "Invert and multiply." The authors examined current commercial curricula and found that few textbooks use context as a way to build meaning for the division of fractions. When context is used, the connection between the invert-and-multiply rule and the context is…

The inaugural column in the "Content Literacy" department discusses the importance of teachers' assisting students in grades 4-6 to develop content literacy skills. The discussion centers on levels of literacy and diversity issues facing teachers and then identifies three fundamental elements that should be a part of every teacher's content…

Despite the long history of the study of pedagogical content knowledge (PCK), two facts remain obvious. First, there are almost as many conceptions regarding the definition of PCK as there are researchers interested in it. Second, it is largely unclear which methods enable teacher educators to best prepare teacher candidates to use PCK. Recently,…

In Eleanor Duckworth's class "T-440: Teaching and Learning" at the Harvard Graduate School of Education, students sometimes wonder how Duckworth's model of teaching and learning works in elementary classroom settings. In this article the author, a graduate of "T-440" and a 6th grade teacher at the Smith College Laboratory School, chronicles her…

A national literacy professional development project reduced the achievement gap for students experiencing difficulties in reading or writing in 91 of New Zealand's schools. It was based on two premises: coherence within and between the multiple levels of the schooling and educational administration systems, and a focus on evidence-informed…

This study explores difficulties that prospective elementary mathematics teachers have with the concepts of ratio and proportion, mainly when they are engaged in solving problems using algorithm procedures. These difficulties can be traced back to earlier experiences when they were students of junior and high school. The reflection on these…

The authors describe a journey of self-study during which one author shifted from traditional, teacher-driven approaches to a more problem-based inquiry approach to teaching mathematics. He videotaped a series of lessons taught to sixth-grade students over a semester and analyzed his teaching during discussions with his mentor at the university.…

This article presents four cases of journeys of discovery and renewal, and the unexpected learning that results from exploring our practice with others. The authors are three classroom teachers--Steve, Stephanie and Bennyce--all of whom took part in a year-long action research sequence and the two professors--Helen and Mary--who co-taught these…