Abstract
Continuators is name of new mathematical surrounding according to Whitmann-Hejný. If it is valid for natural number a, b, m relations m = a + b, n = a BULLET OPERATOR b, then number n is called the first pokračovatel of number m.
In case number p is the first pokračovatel of number n, we get chain m - n - p that it is possible to spin out arbitrarily and so to create next pokračovatels of number m. This structure created in set of natural numbers allows to create different problems both for children of the third class and for children of the eighth class.
Problem solving often desires lots of counting that pupils do not perceive as meaningful because solving is aim of finding something more difficult.