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Exploring The Knowledge Of Algebra For Teaching., Jonathan David Watkins
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 …
Analyzing Common Algebra-Related Misconceptions And Errors Of Middle School Students., Sarah B. Bush
Analyzing Common Algebra-Related Misconceptions And Errors Of Middle School Students., Sarah B. Bush
Electronic Theses and Dissertations
The purpose of this study was to examine common algebra-related misconceptions and errors of middle school students. In recent years, success in Algebra I is often considered the mathematics gateway to graduation from high school and success beyond. Therefore, preparation for algebra in the middle grades is essential to student success in Algebra I and high school. This study examines the following research question: What common algebra-related misconceptions and errors exist among students in grades six and eight as identified on student responses on an annual statewide standardized assessment? In this study, qualitative document analysis of existing data was used …