This study explored whether and how teachers mathematical knowledge for teaching contributes to gains in students mathematics achievement. The authors used a linear mixed-model methodology in which first and third graders mathematical achievement…
Mathematics Education
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13,615 papers
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In this article, the authors first indicate the range of purposes and the variety of settings in which design experiments have been con- ducted and then delineate five crosscutting features that collectively differentiate design experiments from…
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CD-ROM contains: Full text document - E-examples - Search engine - Enhanced navigation - NCTM's previous Standards documents - Illuminaitons and links to other resources.
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This article reports the authors' efforts to develop a practice-based theory of content knowledge for teaching built on Shulman's (1986) notion of pedagogical content knowledge. As the concept of pedagogical content knowledge caught on, it was in…
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Shulman (1986, 1987) coined the term pedagogical content knowledge (PCK) to address what at that time had become increasingly evidentthat content knowledge itself was not sufficient for teachers to be successful. Throughout the past two decades,…
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From a sociocultural perspective an object of research on mathematics teaching and learning can be seen as a particular moment in the zoom of a lens. Researchers focus on a specific part of a complex process whilst taking account of the other views…
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Mathematics is one of humanitys great achievements. By enhancing the capabilities of the human mind, mathematics has facilitated the development of science, technology, engineering, business, and government. Mathematics is also an intellectual…
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In this important theoretical treatise, Jean Lave, anthropologist, and Etienne Wenger, computer scientist, push forward the notion of situated learning-that learning is fundamentally a social process and not solely in the learner's head. The authors…
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Studies of teachers' use of mathematics curriculum materials are particularly timely given the current availability of reform-inspired curriculum materials and the increasingly widespread practice of mandating the use of a single curriculum to…
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This study investigated teachers' use of knowledge from research on children's mathematical thinking and how their students' achievement is influenced as a result. Twenty first grade teachers, assigned randomly to an experimental treatment,…
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This book describes the nature and development of the "profound understanding of fundamental mathematics" that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in…
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Case studies were conducted to investigate the conceptions of mathematics and mathematics teaching held by three junior high school teachers. Examination of the relationship between conceptions and practice showed that the teachers' beliefs, views,…
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Two different types of "understanding" are defined and discussed: knowing both what to do and why, and knowing rules without reasons. Advantages and disadvantages of each type of understanding are presented. (DT)
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This paper sets forth a way of interpreting mathematics classrooms that aims to account for how students develop mathematical beliefs and values and, consequently, how they become intellectually autonomous in mathematics. To do so, we advance the…
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Scholars of decades past, current researchers, and various reform documents all deal, directly or indirectly, with the question of what constitutes good mathematics teaching. Often good teaching is situated in the context of broader educational…
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Teacher professional development is essential to efforts to improve our schools. This article maps the terrain of research on this important topic. It first provides an overview of what we have learned as a field, about effective professional…
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Constructivist theory has been prominent in recent research on mathematics learning and has provided a basis for recent mathematics education reform efforts. Although constructivism has the potential to inform changes in mathematics teaching, it…
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Widespread agreement exists that U.S. teachers need improved mathematics knowl- edge for teaching. Over the past decade, policymakers have funded a range of profes- sional development efforts designed to address this need. However, there has been…
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Eighty percent of peak bone mass should be achieved from birth through adolescence. An adequate calcium intake is essential, and it is advisable that 60% of the recommended calcium allowance be dairy calcium. This study was conducted to examine bone…
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