The use of digital technology in finding multiple paths to solve and extend an equilateral triangle task

Manuel Santos Trigo ^[2] ; Aaron Reyes Rodriguez ^[1]
1. [1] Universidad Autónoma del Estado de Hidalgo
  
  Universidad Autónoma del Estado de Hidalgo
  
  México
2. [2] Centre for Research and Advanced Studies
Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 47, Nº. 1, 2016, págs. 58-81
Idioma: inglés
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Resumen
- 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 involves the construction of an equilateral triangle is used to present and discuss multiple solution approaches that rely on a variety of concepts and ways of reasoning. To this end, the use of a Dynamic Geometry System (GeoGebra) became instrumental in constructing and exploring dynamic models of the task. These model explorations provided a means to generate novel mathematical results.