In this article we discuss efforts to design and empirically test measures of teachers content knowledge for teaching elementary mathemat- ics. We begin by reviewing the literature on teacher knowledge, noting how scholars have organized such…
Mathematics Education
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Abstract The secondarytertiary transition has been studied in a great amount of research in mathematics education, adopting different focuses and theoretical approaches. I present here how these focuses led the authors to identify and study…
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The concept image consists of all the cognitive structure in the individual's mind that is associated with a given concept. This may not be globally coherent and may have aspects which are quite different from the formal concept definition. The…
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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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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…
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Angiogenesis is under intense investigation to advance the treatment of various ischemic diseases. Small animals, such as mice and rats, are often used for this purpose. However, evaluating the structure of coronary arteries in small animals in situ…
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R is free, open-source, cooperatively developed software that implements the S statistical programming language and computing environment. The current capabilities of R are extensive, and it is in wide use, especially among statisticians. The sem…
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This paper considers the role of dynamic aspects of mathematics specifically focusing on the calculus, including computer software that responds to physical action to produce dynamic visual effects. The development builds from dynamic human…
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This article explores elementary school teachers' mathematical knowledge for teaching and the relationship between such knowledge and teacher characteristics. The Learning Mathematics for Teaching project administered a multiple-choice assessment…
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The last decade has seen the development in France of a significant body of research into the teaching and learning of mathematics in CAS environments. As part of this, French researchers have reflected on issues of instrumentation, and the…
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During the 1990s, the teaching of mathematics became the subject of heated controversies known as the math wars. The immediate origins of the conflicts can be traced to the reform stimulated by the National Council of Teachers of Mathematics…
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Evidence for the superiority of guided instruction is explained in the context of our knowledge of human cognitive architecture, expertnovice differences, and cognitive load. Although un- guided or minimally guided instructional approaches are very…
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Research literature (e.g., Thompson, 1992) suggests that teachers beliefs about the nature of mathematics provide a strong indicator of their future teaching practices.Moreover, current reformefforts (e.g., NCTM, 2000) ask teachers to lead mathe-…
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There is an increasing awareness of the social dimension in mathematics teacher education. Collaboration and co-operation are regarded as key factors in professional development. In this paper I will analyse some tensions that might arise when the…
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