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Full-Text Articles in Physical Sciences and Mathematics

Mat-Rix-Toe: Improving Writing Through A Game-Based Project In Linear Algebra, Adam Graham-Squire, Elin Farnell, Julianna Stockton Jun 2015

Mat-Rix-Toe: Improving Writing Through A Game-Based Project In Linear Algebra, Adam Graham-Squire, Elin Farnell, Julianna Stockton

Elin R Farnell

The Mat-Rix-Toe project utilizes a matrix-based game to deepen students’ understanding of linear algebra concepts and strengthen students’ ability to express themselves mathematically. The project was administered in three classes using slightly different approaches, each of which included some editing component to encourage the improvement of the students’ mathematical thinking and writing. Differences in the implementation of the project illustrate the benefits and drawbacks of various methods of editing in the mathematics classroom and highlight recommendations for improvements in future implementations of the project.


Characterizing Preservice Teachers’ Mathematical Understanding Of Algebraic Relationships, Leah A. Nillas Sep 2010

Characterizing Preservice Teachers’ Mathematical Understanding Of Algebraic Relationships, Leah A. Nillas

Leah A. Nillas

Qualitative research methods were employed to investigate characterization of preservice teachers’ mathematical understanding. Responses on test items involving algebraic relationships were analyzed using with-in case analysis (Miles and Huberman, 1994) and Pirie and Kieren’s (1994) model of growth of mathematical understanding. Five elementary and special education preservice teachers were the focus of this study. Analysis showed that preservice teachers demonstrated different levels of mathematical understanding. The nature of the mathematical tasks they completed in class provided contexts for their developing understanding. Findings support the need to engage preservice teachers in mathematical sense-making and reasoning in order to experience what it …