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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
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Contreras, José – Journal of Mathematics Education at Teachers College, 2014
In this paper I describe how I have used the classic buried treasure problem with prospective and practicing mathematics teachers to enhance their problem solving abilities and disposition to integrate interactive geometry software (IGS) into the learning environment. I illustrate how IGS may be used as a strategic tool to gain insight into the…
Descriptors: Computer Software, Geometry, Problem Solving, Geometric Concepts
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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