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Stewart, Sepideh; Andrews-Larson, Christine; Zandieh, Michelle – ZDM: The International Journal on Mathematics Education, 2019
In this survey paper, we describe the state of the field on linear algebra research. We synthesize themes, questions, results, and perspectives emphasized in the papers that appear in this issue, as well as a selection of those published between 2008 and 2017. We highlight the extensive base of empirical research detailing how students reason…
Descriptors: Mathematics Instruction, Mathematical Logic, Teaching Methods, Mathematics Achievement
Stewart, Sepideh; Troup, Jonathan; Plaxco, David – ZDM: The International Journal on Mathematics Education, 2019
Reflection is an important part of teaching and needs to be considered carefully. In this study, we examined a mathematics instructor's reflections on teaching linear algebra. The research team employed Tall's (How humans learn to think mathematically: exploring the three worlds of mathematics. Cambridge University Press, Cambridge, 2013)…
Descriptors: Mathematics Instruction, Teaching Methods, Algebra, Advanced Courses
Stewart, Sepideh; Thomas, Michael O. J. – ZDM: The International Journal on Mathematics Education, 2019
Proof has a prominent place in the linear algebra curriculum, teaching and learning but in first-year courses it continues to be challenging for both instructors and students. While an introduction to new concepts through definitions and theorems adds to the complexity of the course, proof remains the number one hurdle for many students. How do…
Descriptors: Algebra, Advanced Courses, Mathematics Instruction, Mathematical Logic