The Students’ Perspective of Geometry Teaching and Learning in High School

The purpose of this article is to present the results obtained from a questionnaire applied to Costa Rican high school students, in order to know their perspectives about geometry teaching and learning. The results show that geometry classes in high school education have been based on a traditional system of teaching, where the teacher presents the theory; he presents examples and exercises that should be solved by students, which emphasize in the application and memorization of formulas. As a consequence, visualization processes, argumentation and justification don’t have a preponderant role. Geometry is presented to students like a group of definitions, formulas, and theorems completely far from their reality and, where the examples and exercises don’t possess any relationship with their context. As a result, it is considered not important, because it is not applicable to real life situations. Also, the students consider that, to be successful in geometry, it is necessary to know how to use the calculator, to carry out calculations, to have capacity to memorize definitions, formulas and theorems, to possess capacity to understand the geometric drawings and to carry out clever exercises to develop a practical ability.

Raising Awareness on Teacher Training Changes: Perspectives and Challenges

One of the numerous challenges in the educational processes is teacher training, particularly in the framework of neo-liberal global societies ruled by the competitiveness of regular and continuous education programs in teacher training. It is a matter of concern and, therefore, a matter of analysis, if we consider the deep impact in all contexts. Accordingly, this paper discusses the situation from a descriptive perspective as a basic requirement to go beyond the analysis on the urgency of having clear educational policies related to the variety and quality of curricular programs; and, above all, a strong awareness from teacher trainers to see themselves as the critical creative mass from which change can be made, based on socially human proposals.