Cognitive modeling in mathematical reasoning and problem solving

Research regarding the learning processes of mathematics is focused primarily on pedagogical, didactic, and teaching practice aspects. On the other hand, researchers have been working on the understanding of the cognitive processes related to the acquisition of mathematical concepts and methods. The convergence of different areas of knowledge can be especially useful to achieve this objective, tackling it from a multidisciplinary point of view. Cognitive modeling, mathematical psychology, and neurosciences are necessary approaches to study, research, and predict the phenomena related to mathematical learning and reasoning. From the study of categorization processes, memory, and multitasking aspects, it is possible to glimpse the dynamics involved in the development of mathematical thinking. In this research proposal we are interested in studying brain activity patterns through the use of an EEG device (CYTON Biosensing board 8-channels / Emotiv-EPOC + 14 channels), to later generate and implement a cognitive model that allows us to understand the process of developing mathematical skills and reasoning, specifically, for solving geometry problems by students of secondary education, high school, and early college years; this following the inspiration of past work of ACT-R concerning algebra problems frame. In this fast talk, we present the theoretical and methodological aspects of the research proposal and further applications.