Abstract

GALLEGUILLOS, Jeannette; RIBEIRO, Miguel  and  MONTES, Miguel. The mathematical knowledge displayed and developed by a group of teachers when solving the corral problema. Educ. mat. [online]. 2022, vol.34, n.3, pp.194-217.  Epub Mar 17, 2023. ISSN 2448-8089.  https://doi.org/10.24844/em3403.07.

This paper focuses on the mathematical knowledge displayed and developed by a group of teachers when discussing a problem of maximization and some of its possible variations. The research was approached qualitatively by observing a group of mathematics teachers’ during the discussion involved in solving the problem. The analysis was carried out focusing on the teacher’s mathematical knowledge specificities, perceived in the Mathematics Teachers’ Specialized Knowledge (MTSK) perspective. The data reveal different in-depth levels of math-ematical knowledge deployed and developed by teachers in problem-solving, which were associated with MTSK categories. The results show that, by solving the problem in different ways and observing different variants, the teacher’s mathematical knowledge was mobilized: in relation to the use of various geometric figures to design unusual pens; in the application and relationship of various mathematical notions in finding the resolution, and in the establishment of conjectures and possibilities of developing new knowledge. Thus, new indicators of teachers’ mathematical specialized knowledge are discussed.

Keywords : Teacher developing; Specialized knowledge of the mathematics teacher; Mathematical knowledge of the teacher; Problem-solving; Open problems.