The cognitive method, which originally was a self‐contained method for transforming verbal problems into equations, equation systems, inequalities, etc—assuming, of course, that the verbal problems lead to them at all—is now incorporated into the Psychomathematically Based Teaching Method, PBTM. Furthermore, the cognitive method was found (the verb ‘found’ is employed to avoid the general philosophical question, whether a mathematical definition, theorem, method, etc. is discovered or invented) merely empirically and only later was its theoretical base discovered. Doing, learning and teaching mathematics is concerned both with mathematics itself and human behaviour, i.e., it is concerned with psychomathematics. So the foundation of the cognitive method is also twofold: mathematical and psychological, i.e. psychomathematical.