Bibik H. Inter-Subject Connections of Mathematics and Physics as the Means of the Key Competences Formation in the Secondary School Pupils.

The methods of teaching mathematics of the secondary school pupils, aimed at the formation of the key competences in them with the means of inter-subject connections of mathematics and physics were worked out. It was established that its realization demands the strengthening of practical and applied aspects of mathematical education, the formation of conditions for pupils' understanding the value of knowledge and the process of achieving it and also taking into account the schoolchildren's life experience in the process of learning mathematics. It was defined that the key competences which can be formed in pupils while learning mathematics are as follows: self-educational, informational and communicative ones. They are connected with each other and are formed in the interconnection with mathematical and inter-subject connection (physics) competences. 6 main groups of mathematical knowledge and skills that have the most marked inter-subject connections character were defined and the methods of their learning aimed at the formation of the key competences in pupils including competent, systemic, integrative and axiological approaches were worked out. Methodical aids for training were made. The criteria were substantiated and the worked out efficiency indices of the formation of self-educational, informative and communicative competences in pupils with the help of the means of inter-subject connections of mathematics and physics and its effectiveness was experimentally proved.