Andreas Vohns in his article Fundamental Ideas as a Guiding Category in Mathematics Education—Early Understandings, Developments in German- Speaking Countries and Relations to Subject Matter Didactics says: "In its day-to-day regime the mathematics classroom is mainly focused on students’ mastery of specific knowledge and skills currently at hand. But do they see the bigger picture? Do they get an appropriate idea of what mathematics is essentially about? Fundamental ideas have been a regularly proposed way to outline the bigger picture.".
The second version of the Brazilian Common Core (BNCC) puts the following pairs of Fundamental Ideas in Mathematics: variation and constancy; certainty and uncertainty; movement and position; relationships and interrelationships.
Nilson José Machado, a Brazilian scholar, in turn, proposes the following Fundamental Ideas in Mathematics: equivalence; order; proportionality; interdependence; measurement; invariance; variance; periodicity; randomness; problematicity; optimization.
I'm looking for other authors who have addressed the subject of Fundamental Ideas in Mathematics (including countries other than Germany and Brazil).
In particular, shouldn't "recursion" be included in the list of Fundamental Ideas?