Abstract

LAPLACE, Estefanía. Mathematical and didactic analysis of a generating question to teach affinities and linear equations in two variables in secondary school. Rev. electrón. investig. educ. cienc. [online]. 2022, vol.17, n.2, pp.73-80. ISSN 1850-6666.  http://dx.doi.org/10.54343/reiec.v17i2.365.

This paper proposes the mathematical and didactic analysis of the generating question Q 0: How to manage the school kiosk to obtain profit? which integrates a Study and Research Path (SRP) to teach, among others, mathematical organizations (OM) linked to the affinities and linear equations in two variables corresponding to the curricular design of the 4th year of the Argentine secondary school. The development of the SRP allows to initiate students into a functional algebraic modelling process, which is rare at this school level. The mathematical knowledge that this device would allow to study from the tree of questions arising from the generating question is briefly synthesized here, and some of the didactic decisions considered for the implementation of the SRP in the classroom are advanced.

Keywords : Study and research path; Anthropological Theory of the Didactic; Functional algebraic modeling; linear affinities; Linear equations; High school..

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