“…Focusing mainly on those subdomains and categories that have emerged in the analysis of the classroom session: The Knowledge of Topics (KoT) is defined as a well-founded and deep knowledge of mathematical content. It consists of the following categories: phenomenology and applications, which is the knowledge of models attributable to a topic, as well as the uses and applications of a mathematical topic (Escudero-Ávila, Carrillo, Flores-Medrano, Climent, Contreras, & Montes, 2015); definitions, properties and their foundations, comprises the knowledge to describe or characterize a concept, the properties of a mathematical object, and the knowledge that the teacher has about the bases, foundations or completeness of the use of a property; representation registers, refers to knowledge about the different ways in which a topic can be represented, including the notation and the mathematical language associated with such representations (Mora, Climent, Escudero-Ávila, Montes, & Ribeiro, 2016); and procedures, where we consider the knowledge that the professor has about conventional and alternative algorithms (How is it done? ), the sufficient and necessary conditions to proceed (When can it be done?…”