Difference between revisions of "Mathematical Argumentation in K8"
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Revision as of 05:14, 12 June 2015
The REU Fellow in mathematics education will be guided and mentored throughout the internship by the mathematics education researchers at Marquette University. Together with the mentors, the Fellow will participate in research on the effectiveness of activities designed to support middle school preservice teachers' knowledge of mathematical argumentation in K8 mathematics. The goal of this research is to develop better understanding of the extent to which teacher preparation activities conducted in mathematics courses for preservice teachers impact preservice teachers' ability to design and implement K8 mathematics instruction with a strong focus on mathematical reasoning and proof. This inquiry is grounded in the idea that in addition to having strong reasoning skills, teachers must have knowledge that allows them to make sense of the mathematical arguments expressed by their students and recognize classroom situations that could engage students in creating and critiquing mathematical arguments.
The specific goals of the study in which the REU Fellow will contribute are to examine middle school preservice teachers' knowledge about mathematical argumentation and proving along three dimensions: (a) preservice teachers' own ability to formulate mathematical arguments, (b) their ability to analyze mathematical arguments, and (c) their ability to analyze situations that engage students in mathematical argumentation. A multidimensional analysis of the data collected in forms of: (a) pre and post assessment of preservice teachers' content knowledge for teaching mathematical argumentation and proof, (b) artifacts from MATH courses for preservice teachers, (c) videorecordings of class sessions and interviews conducted with preservice teachers concerning their conceptions of mathematical argumentation in the K8 mathematics classroom.
The REU Fellow will gain experience in qualitative and quantitative research methods using a framework of knowing mathematics for teaching. The fellow will receive firsthand experience using specialized data analysis software to analyze and interpret data of preservice teachers engaged in the teaching and learning processes.