French to English Social Sciences Mathematics & Statistics Teaching Paper on teaching & building competencies

This teaching paper is discussing here the building of competencies in terms of the psychological processes. It has been discussing how we work out problems (using arithmetic as the example).

Should this just be translated literally? e.g. "fluid resolution algorithms". ?

"le recours à des algorithmes de résolution fluides et des faits arithmétiques contribuant à l’exécution, c’est-à-dire à la résolution proprement dite du problème."