Objective:

The paper discloses cardinal requirements for the selection and elaboration of geometric problems and didactic considerations for their treatment with the assistance of GeoGebra.

Methods:

The authors rely on theoretical and empirical methods to review oral, written and visual sources, in particular in senior high school mathematics school texts, methodological guidelines and scientific articles addressing geometric problem solving.

Result:

The main finding is the description of nine requirements of particular importance for geometric problem solving. Related didactic ideas are explained by devising problems of a different nature as compare to those generally included senior high school texts.

Conclusion:

The demands described and the didactic ideas presented by means of problems constitute important theoretical and practical references of a general nature for the selection, elaboration and didactic treatment of geometric problems.

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