O pewnej implikacji

Abstract

The purpose of this paper is to show how the process of proving a theorem in different ways or proving generalized versions of the theorem, after learning one its proofs, influences the development of the skills of proving theorems and analysing proofs by the students of mathematics. To illustrate this process we use an elementary theorem about numbers and its generalizations, giving fourteen proofs. Proving theorems we use methods and facts which are available to high school students.