The Use of Digital Technology in Finding Multiple Paths to Solve and Extend an Equilateral Triangle Task
IJMEST Volume 47, Number 1, ISSN 0020-739X
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.
Santos-Trigo, M. & Reyes-Rodriguez, A. (2016). The Use of Digital Technology in Finding Multiple Paths to Solve and Extend an Equilateral Triangle Task. International Journal of Mathematical Education in Science and Technology, 47(1), 58-81.