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Secondary And Postsecondary Calculus Instructors' Expectations Of Student Knowledge Of Functions: A Multiple-Case Study, Cheryl Avila
Secondary And Postsecondary Calculus Instructors' Expectations Of Student Knowledge Of Functions: A Multiple-Case Study, Cheryl Avila
Electronic Theses and Dissertations
This multiple-case study examines the explicit and implicit assumptions of six veteran calculus instructors from three types of educational institutions, comparing and contrasting their views on the iteration of conceptual understanding and procedural fluency of pre-calculus topics. There were three components to the research data recording process. The first component was a written survey, the second component was a "think-aloud" activity of the instructors analyzing the results of a function diagnostic instrument administered to a calculus class, and for the third component, the instructors responded to two quotations. As a result of this activity, themes were found between and among …
The Impact Of Using A Computer Algebra System In High School Calculus On High Performing Students' Conceptual And Procedural Understanding, Zyad Bawatneh
Electronic Theses and Dissertations
Recently, there has been an increasing interest in high school mathematics education, especially in the teaching and learning of calculus. For example, studies conducted by Bressoud (2010); Judson and Nishimori (2005); Koh and Divaharan (2011); and St. Jarre (2008) all looked at how to improve the understanding of calculus students and what roles the educator must take to ensure that their students are successful. The purpose of this study was to determine if there was a significant difference between instruction using computer algebra system (CAS) compared to instruction using the graphing calculator in high school calculus on students’ conceptual and …
Effects Of Discussion And Writing On Student Understanding Of Mathematics Concepts, Joseph Roicki
Effects Of Discussion And Writing On Student Understanding Of Mathematics Concepts, Joseph Roicki
Electronic Theses and Dissertations
For this action research project, I wanted to examine my practice of teaching mathematics. Specifically, I encouraged students to improve their communication skills during my math class through daily discussion and writing tasks. After establishing a class set of sociomathematical norms, the students solved problems provided by the Every Day Counts: Calendar Math program and used verbal and written formats to describe their problem solving methods and reasons. My study showed the effects of using discussion and writing to help students develop their conceptual understanding of mathematical ideas. Focus was placed on the quality of daily discussions and written tasks …