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.

From Traditional Assessment to the New Competency-Based Assessment

The evaluation of school students has always attempted to estimate the effort, abilities and learning of students. However, at the beginning, evaluation consisted in measuring the progress of the student’s behavior compared to a desirable behavior. Later on, different changes in evaluation benefited the processes addressed to assessing the academic achievement of students and learning itself. Today, the demands of the contemporary society are vast and numerous: students not only require knowledge, they need to develop skills, values and postures. Postmodern education requires individuals to develop different talents and competencies to grow in every way. Therefore, evaluation should respond to such needs promoting an ethical, technical, reliable assessment of the student’s competencies, thus providing more fair and objective, qualitative and quantitative judgments. This dissertation project is the result of a literature review of several authors and the daily work of teachers in the Centros de Educación Media Superior a Distancia [High School Distance Centers] of Morelos, Mexico.