Abstract

SAMPER, Carmen; AYA CORREDOR, Orlando  and  ECHEVERRY, Armando. Triangle height definition: broadening the examples space with a dynamic geometric enviroment. Rev. Fac. Cienc. Tecnol. [online]. 2014, n.35, pp.63-86. ISSN 0121-3814.

The construction of definitions in mathematics and its relationship with the concept building process have been issues of ongoing interest in mathematical education. This article reports the results of a research project on the conceptualization process of triangle height by a group of students from a pre service teacher program in mathematics. The concept was undertaken in two moments, each one in consecutive geometry courses of the curricular plan. In the first course, we used an intuitive approach to the definition and, in the second course, we used the concept to prove geometric facts. The courses were developed within the framework of a methodological innovation in teaching, based on the use of dynamic geometry. The conceptualization process was analyzed through the characterization of the process carried out by the students.

Keywords : Dynamic geometry; definition; proof; concept image; example space.

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