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Contreras, José – Journal of Mathematics Education at Teachers College, 2015
In this paper I describe classroom experiences with pre-service secondary mathematics teachers (PSMTs) investigating and extending patterns embedded in the Pythagorean configuration. This geometric figure is a fruitful source of mathematical tasks to help students, including PSMTs, further develop habits of mind such as visualization,…
Descriptors: Preservice Teachers, Secondary School Teachers, Mathematics Teachers, Geometric Concepts
Contreras, José – Journal of Mathematics Education at Teachers College, 2014
This paper describes how the author's students (in-service and pre-service secondary mathematics teachers) enrolled in college geometry courses use the Geometers' Sketchpad (GSP) to gain insight to formulate, confirm, test, and refine conjectures to solve the classical airport problem for triangles. The students are then provided with strategic…
Descriptors: Geometry, Computer Software, Mathematics Teachers, Mathematical Logic