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Transitioning From The Abstract To The Concrete: Reasoning Algebraically, Andrea Lynn Martin Aug 2020

Transitioning From The Abstract To The Concrete: Reasoning Algebraically, Andrea Lynn Martin

MSU Graduate Theses

Why are students not making a smooth transition from arithmetic to algebra? The purpose of this study was to understand the nature of students’ algebraic reasoning through tasks involving generalizing. After students’ algebraic reasoning had been analyzed, the challenges they encountered while reasoning were analyzed. The data was collected through semi-structured interviews with six eighth grade students and analyzed by watching recorded interviews while tracking algebraic reasoning. Through data analysis of students’ algebraic reasoning, three themes emerged: 1) it was possible for students to reach stage two (informal abstraction) and have an abstract understanding of the mathematical pattern even if …


Effects Of Chair Testing In Orchestra On Student Motivation: Student Perspectives And Applications From Motivational Theories, Rosanna Christine Honeycutt May 2020

Effects Of Chair Testing In Orchestra On Student Motivation: Student Perspectives And Applications From Motivational Theories, Rosanna Christine Honeycutt

MSU Graduate Theses

The purpose of this descriptive study was to examine how string students perceive achievement on chair testing through the lens of attribution and achievement goal motivational self-theories. A teacher survey was administered to identify the goals of chair testing in two high school and seven middle school orchestra classrooms. A student survey was used to collect data in those same classrooms on (a) the reasons why students do and do not do well on chair tests, (b) the perceived goals of chair testing and (c) the ratings of motivation and self-achievement. Qualitative techniques were used to analyze attributions within both …