Alternative Tasks for the Teaching and the Learning of functions: analysis of an intervention in the High School

In this paper we focus on the application of two mathematical alternative tasks to the teaching and learning of functions with high school students. The tasks were elaborated according to the following methodological approach: (i) Problem Solving and/or mathematics investigation and (ii) a pedagogical proposal, which defends that mathematical knowledge is developed by means of a balance between logic and intuition. We employed a qualitative research approach (characterized as a case study) aimed at analyzing the didactic pedagogical potential of this type of methodology in high school. We found that tasks such as those presented and discussed in this paper provide a more significant learning for the students, allowing a better conceptual understanding, becoming still more powerful when one considers the social-cultural context of the students.

Current issues regarding health surveillance of fluoride concentrations in foods

This study analyzed the position of the Federal (Brazil), State (Sao Paulo), and municipal (Bauru, Sao Paulo) governments, civil society representatives, the regulated sector, and research associations concerning issues with fluoride content in foods. Analysis of the interviews (N = 15) used a qualitative methodology (collective subject discourse theory). Various central ideas were identified, including the need for stronger health surveillance in monitoring and controlling fluoride levels, educational measures, and more research in the area. The study concludes that the health surveillance approach to fluoride levels in foods is necessary, but still incipient. There is a mismatch between research output and surveillance. Regulation alone does not suffice to solve all the issues. Health risk communication and health education measures need to be implemented. Issues with fluoride on food labels need further research for the intervention to be effective.