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Choose Your Words: Refining What Counts As Mathematical Discourse In Students' Negotiation Of Meaning For Rate Of Change Of Volume, Christine Johnson Jul 2008

Choose Your Words: Refining What Counts As Mathematical Discourse In Students' Negotiation Of Meaning For Rate Of Change Of Volume, Christine Johnson

Theses and Dissertations

The purpose of this study is to describe how university honors calculus students negotiate meaning and language for conceptually important ideas through mathematical discourse. Mathematical discourse has been recognized as an important topic by mathematics education researchers of various theoretical perspectives. This study is written from a perspective that merges symbolic interactionism (Blumer, 1969) with personal agency (Walter & Gerson, 2007) to assert that human choice reflects, but is not determined by, meanings that are primarily developed through social interaction. The process of negotiation of meaning is identified, described, and analyzed in the discourse of four students and their professor …


Attitudinal Study: The Interaction Of Students Taking Calculus And Prerequisite Courses While Participating In Peer Tutorials, Deborah Coleman Hannah May 2008

Attitudinal Study: The Interaction Of Students Taking Calculus And Prerequisite Courses While Participating In Peer Tutorials, Deborah Coleman Hannah

Middle-Secondary Education and Instructional Technology Dissertations

Bridging the achievement gap while improving overall performance in high school mathematics is a primary concern in the educational arena. A peer tutoring strategy was implemented to examine its effects on the achievement and attitude of African American students in mathematics courses. Vygotsky’s theory of social interaction and the Zone of Proximal Development served as the guide for this investigation involving 138 high school students. Dyads were formed by pairing 46 Algebra and Geometry students with 46 Advanced Placement Calculus students for after- school tutorial sessions. Forty-six members of a control group received no tutoring intervention. Participants completed a 25-item …