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Exploring The Knowledge Of Algebra For Teaching., Jonathan David Watkins Dec 2018

Exploring The Knowledge Of Algebra For Teaching., Jonathan David Watkins

Electronic Theses and Dissertations

For the past few decades, researchers in mathematics education have been exploring the concept of pedagogical content knowledge (PCK)—or knowledge related to teaching content—and applying it to various areas of mathematics, such as algebra. Research related to teacher knowledge of algebra is critical because researchers (e.g., Hill, Rowan, & Ball, 2005) have found correlations between some types of teacher knowledge and student achievement in mathematics; students from around the world are outperforming U.S. students on international assessments of mathematics, including algebra (Organization for Economic Cooperation and Development, 2014, 2016); and algebra plays an integral role in the K-12 mathematics curriculum …


Knowledge Of Algebra For Teaching Quadratic Equations : The Impact Of Knowledge Dimensions On Planning And Pedagogical Strategies., Michael Raney Dec 2016

Knowledge Of Algebra For Teaching Quadratic Equations : The Impact Of Knowledge Dimensions On Planning And Pedagogical Strategies., Michael Raney

Electronic Theses and Dissertations

Planning and presenting meaningful instruction in the mathematics classroom is a demanding task requiring mental flexibility as well as a solid foundation in relevant content knowledge and pedagogical strategies. In the last three decades, there has been a growing interest in the way teachers utilize this specialized mathematical knowledge for teaching algebra in the practice of teaching, specifically in planning and presenting classroom instruction. Even more recently, a growing area of emphasis has been the application of these domains of knowledge in a specific focal context involving a singular topic or unit of instruction in the mathematics classroom. This study …