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Santos-Trigo, Manuel; Reyes-Martínez, Isaid – International Journal of Mathematical Education in Science and Technology, 2019
The aim of this study was to characterize and discuss ways of reasoning that prospective high school mathematics teachers develop and exhibit in a problem-solving scenario that involves the coordinated use of digital technologies. A conceptual framework that includes Virtual Learning Spaces (VLS) and Resources, Activities, Support and Evaluation…
Descriptors: Secondary School Teachers, High Schools, Preservice Teachers, Problem Solving
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Santos-Trigo, Manuel; Reyes-Rodriguez, Aaron – International Journal of Mathematical Education in Science and Technology, 2016
Mathematical tasks are crucial elements for teachers to orient, foster and assess students' processes to comprehend and develop mathematical knowledge. During the process of working and solving a task, searching for or discussing multiple solution paths becomes a powerful strategy for students to engage in mathematical thinking. A simple task that…
Descriptors: Problem Solving, Geometry, Mathematics Instruction, Geometric Concepts
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Santos-Trigo, Manuel; Reyes-Rodriguez, Aaron – International Journal of Mathematical Education in Science and Technology, 2011
To what extent does the use of computational tools offer teachers the possibility of constructing dynamic models to identify and explore diverse mathematical relations? What ways of reasoning or thinking about the problems emerge during the model construction process that involves the use of the tools? These research questions guided the…
Descriptors: Mathematical Models, Secondary School Teachers, Computation, Teaching Methods
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Santos-Trigo, Manuel; Espinosa-Perez, Hugo; Reyes-Rodriguez, Aaron – International Journal of Mathematical Education in Science and Technology, 2008
Different technological artefacts may offer distinct opportunities for students to develop resources and strategies to formulate, comprehend and solve mathematical problems. In particular, the use of dynamic software becomes relevant to assemble geometric configurations that may help students reconstruct and examine mathematical relationships. In…
Descriptors: Computer Software, Geometric Concepts, Geometry, Logical Thinking
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Santos-Trigo, Manuel – International Journal of Mathematical Education in Science and Technology, 1998
Describes activities that have been successfully implemented by an expert during a mathematical problem-solving course. Focuses on the identification of the qualities of these problems used to promote the development of student strategies and values that reflect mathematical practice in the classroom. Contains 17 references. (ASK)
Descriptors: Course Descriptions, Group Activities, Mathematics Instruction, Problem Solving