The problem/solution pattern applied to the computational industry
Interpretation: The early-math-education pattern is enhanced by a similar pattern, involving the computational industry. Again, conceptual difficulties are dissolved by computations, which tend to focus the mathematical activities on problem solution (= computing algorithmic solutions), and away from problem formulation (= extracting the mathematical skeleton). This conceptual confusion creates the understanding dysfunctionality which helps to re-crystallize the conceptual difficulties. By marketing the difficulties, the anticipated conceptual difficulty of mathematics itself is firmly established: “Mathematics is difficult, but we can help you to solve your problems“.