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This article examine geometry teachers' perspectives regarding realistic contexts during a lesson study cycle. I ask the following. (a) What are the participants' perspectives regarding realistic contexts that elicit…
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Use these ideas to diagnose and address common conceptual obstacles that inhibit students’ success. Cirillo, M. & Hummer, J. (2019). Addressing misconceptions in secondary geometry proof.…
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Linear Algebra and Geometry is aimed at preservice and practicing high school mathematics teachers and advanced high school students looking for an addition to or replacement for calculus. The materials are organized…
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Presentation slides and handout from the 2019 NCTM Regional Conference in Nashville, TN. Presentation slides and handout from the 2019 NCTM Regional Conference in Nashville, TN…
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Students who earned high marks during the proof semester of a geometry course were interviewed to understand what high-achieving students actually took away from the treatment of proof in geometry. The findings suggest…
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This peer-reviewed research journal publication addresses one of the grant goals with respect to how students performed on a set of proof tasks. This peer-reviewed research journal publication addresses…
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In this collection of materials, four geometric topics are covered in animated, digital materials. There are also paper-based materials for the four geometric topics: Angles, Transformations, Pythagorean Theorem, and…
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There is strong empirical evidence in support of learning from comparisons in mathematics education research. The Animated Contrasting Cases in Geometry project seeks to extend this research and transform the learning of…
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This study examines technology-enhanced teacher responses and students’ written mathematical explanations to understand how to support effective teacher responding and the centering of students’ mathematical ideas.…
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A four-year research project funded by NSF examines the efficacy of an approach to high school geometry that utilizes dynamic geometry (DG) software and supporting instructional materials to supplement ordinary…
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A symmetric polynomial is a polynomial in one or more variables in which swapping any pair of variables leaves the polynomial unchanged. For example, f(x, y, z) = xy +xz + yz is a symmetric polynomial. If we interchange…