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Direct linkTaylor, Tara; Knoll, Eva; Landry, Wendy – PRIMUS, 2016
Students often struggle with concepts from abstract algebra. Typical classes incorporate few ways to make the concepts concrete. Using a set of woven paper artifacts, this paper proposes a way to visualize and explore concepts (symmetries, groups, permutations, subgroups, etc.). The set of artifacts used to illustrate these concepts is derived…
Descriptors: Algebra, Mathematical Concepts, Generalization, Abstract Reasoning
Bruce, Catherine D.; Hawes, Zachary – ZDM: The International Journal on Mathematics Education, 2015
The ability to mentally rotate objects in space has been singled out by cognitive scientists as a central metric of spatial reasoning (see Jansen, Schmelter, Quaiser-Pohl, Neuburger, & Heil, 2013; Shepard & Metzler, 1971 for example). However, this is a particularly undeveloped area of current mathematics curricula, especially in North…
Descriptors: Spatial Ability, Visualization, Cognitive Processes, Foreign Countries
Hawes, Zachary; Moss, Joan; Caswell, Beverly; Naqvi, Sarah; MacKinnon, Sharla – Cognition and Instruction, 2017
This study describes the implementation and effects of a 32-week teacher-led spatial reasoning intervention in K-2 classrooms. The intervention targeted spatial visualization skills as an integrated feature of regular mathematics instruction. Compared to an active control group, children in the spatial intervention demonstrated gains in spatial…
Descriptors: Spatial Ability, Numeracy, Mathematics Skills, Geometry
Download full textLiljedahl, Peter, Ed.; Nicol, Cynthia, Ed.; Oesterie, Susan, Ed.; Allan, Darien, Ed. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…
Descriptors: Foreign Countries, Mathematics Education, Educational Psychology, Educational Research
