\input zb-basic \input zb-matheduc \iteman{ZMATH 2013e.00244} \itemau{Anido, Mercedes; Rubio Scola, H\'ector E.} \itemti{Mathematical analysis and didactics of didactic situation starting from a problem. (An\'alisis matem\'atico y did\'actico de situaciones did\'acticas a partir de un problema.)} \itemso{Epsilon (Puerto Real) 29, No. 81, 9-25 (2012).} \itemab Summary: The educational research problem addressed by this work is focused on analyzing adidactic situations of formulation and validation an that under the theory of Brousseau, reveal the different returns generated by the selection of a problem. The experiment was performed in a first course in geometry. In an eclectic approach the richness and creativity of the different proposals are examined. It is considered that the solution of problems both, in plane and in space, are supported geometrically and intuitively to understand the true meaning of the later abstractions of linear algebra. \itemrv{~} \itemab Resumen: El problema de investigaci\'on did\'actica que trata este trabajo est\'a centrado en an\'alisis de las situaciones adid\'acticas de formulaci\'on y validaci\'on que, en el marco la teor\'\i a de Brousseau, revelan las distintas devoluciones que genera la selecci\'on de un problema. La experiencia se realiza en un primer curso de geometr\'\i a. En una postura ecl\'ectica se analiza la riqueza y creatividad de las distintas propuestas. Se considera que la resoluci\'on de problemas planteados tanto en el plano como en el espacio constituyen el respaldo geom\'etrico e intuitivo para poder comprender luego el verdadero sentido de las posteriores abstracciones del \'algebra lineal. \itemrv{~} \itemcc{D40 G70 H60} \itemut{adidactic situations; dialectical instrument-object distance concept; visual thinking; learning adaptation} \itemli{} \end