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Simpson, Amber; Mokalled, Stefani; Ellenburg, Lou Ann; Che, S. Megan – Mathematics Teaching in the Middle School, 2014
In this article, the authors present a tool, the Cognitive Rigor Matrix (CRM; Hess et al. 2009), as a means to analyze and reflect on the type of questions posed by mathematics teachers. This tool is intended to promote and develop higher-order thinking and inquiry through the use of purposeful questions and mathematical tasks. The authors…
Descriptors: Teaching Methods, Questioning Techniques, Teacher Attitudes, Matrices
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Gordon, Marshall – Mathematics Teacher, 1991
Counterintuitive moments in the classroom challenge common sense and practice and can be used to help mathematics students appreciate the need to explore, reflect, and reason. Proposed are four examples involving geometry, systems of equations, and matrices as counterintuitive instances. (MDH)
Descriptors: Cognitive Processes, Cognitive Style, Geometric Concepts, Intuition