Didactic Engineering (DE) and Professional Didactics (PD): A Proposal for Historical Eesearch in Brazil on Recurring Number Sequences

The present work presents some examples of data originated from a set investigations developed in Brazil, at the Federal Institute Education, Science and Technology State Ceará - IFCE, context teacher education, consideration elements historical, mathematical, evolutionary nature. Thus, perspective theoretical complementarity involving research derived notion didactic engineering for development assumptions French aspect professional didactics, two sets are discussed. first involved carried out between 2017 2020. second considered studies still under considering period 2020 2023. historical landscape investigation rests on recurring number sequences Fibonacci, Lucas, Pell, Jacobsthal, Coordonier or Padovan, Perrin, Mersenne, Oresme, Naraynna, Leonardo. Furthermore, broad sense, study aims to provide learning scenario teacher, affected by mathematical knowledge evolution, including repercussions applications with current technology.