Un acercamiento a los vectores de la ética comunitaria y sus repercusiones en la forma de pensar matemáticamente: una experiencia con estudiantes de grado tercero

Abstract

This work focused its gaze on determining and documenting the repercussions of the vectors of community ethics in the ways of thinking mathematically, based on what emerges in the processes of objectification and subjectification from the OT raised by Radford, it must be taken into account that These processes occur in the interaction of the teacher and students in the activity to turn the mathematical object into an object of consciousness and thought. One of the important elements for the development of this research is community ethics and its three corresponding vectors (responsibility, commitment to joint work and care for the other); since this was the basis that allowed the identification of forms of human cooperation when addressing specific tasks, as mentioned by Radford (2021), the ethics that OT is interested in formulating is reflective and critical in nature; there an important role is played by what Marx (1988) called "human capacities" in which human relationships and individuals in their historical-cultural contexts are confirmed. It is here where different forms of alterity arise (recognition of the other, not in romantic terms of agreeing with the other). Based on the above, tasks based on the use of geometric patterns were designed and implemented, these were observed within of the activity, since it is considered as the space in which the movement of human interactions is guaranteed. Finally, the contributions of the research and the results of the same, gave inputs to demonstrate the repercussions in the ways of thinking mathematically, when the vectors of community ethics are configured within the activity.