Sociocultural context as a facilitator of student learning of function concepts in mathematics

In Costa Rica, many secondary students have serious difficulties to establish relationships between mathematics and real-life contexts. They question the utilitarian role of the school mathematics. This fact motivated the research object of this report which evidences the need to overcome methodologies unrelated to students’ reality, toward new didactical options that help students to value mathematics, reasoning and its  applications, connecting it with their socio-cultural context. The research used a case study as a qualitative methodology and the social constructivism as an educational paradigm in which the knowledge is built by the student; as a product of his social interactions. A collection of learning situations was designed, validated, and implemented. It allowed establishing relationships between mathematical concepts and the socio-cultural context of participants. It analyzed the impact of students’socio-cultural context in their mathematics learning of basic concepts of real variable functions, consistent with the Ministry of Education (MEP) Official Program.  Among the results, it was found that using students’sociocultural context improved their motivational processes, mathematics sense making, and promoted cooperative social interactions. It was evidenced that contextualized learning situations favored concepts comprehension that allow students to see mathematics as a discipline closely related with their every-day life.

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.

Desarrollo social y educación superior

Recibido 12 de abril de 2011 • Aceptado 26 de agosto de 2011 • Corregido 21 de octubre de 2011      El presente ensayo tiene por objetivo reflexionar sobre el quehacer de la universidad pública costarricense y su responsabilidad en la formación para el desarrollo social. Lo anterior, entendido como uno de los múltiples retos que enfrenta la educación superior, de cara a las demandas que la función del conocimiento posee en el presente, y a la relación de estas con el desarrollo autónomo del conocimiento. Su planteamiento, defiende algunos asuntos débilmente abordados en estudios previos, y que se constituyen en elementos esenciales para una formación significativa, funcional y de impacto social, como son: a) La ética en la organización, b) La autoeducación de la universidad, c) La incidencia de las políticas curriculares en las prácticas promovidas, d) La transformación de la cultura docente para contribuir a mejorar la práctica, y e) La construcción del conocimiento para fundamentar criterios, tomar decisiones, solucionar problemas y construir proyectos de vida.