Implementation оf the Ideas оf Developing Education аt the Lessons оf Mathematics: the Author's Experience

У статті розглядається проблема ефективної реалізації ідей розвивального навчання математики. Автором проаналізовано основні шляхи упровадження розвивального навчання математики у сучасній школі, виявлено основні вимоги до організації пізнавального процесу в умовах розвивального навчання. Представлено авторський досвід організації розвивального навчання на уроках математики в різних класах у Барській загальноосвітній школі. Наводяться приклади фрагментів уроків з математики, ігрових ситуацій, специфічних навчальних завдань, спрямованих на розвиток важливих компетентностей учня в процесі навчання математики.The problem of effective implementation of the ideas of developing teaching mathematics is considered in the paper. Educators have long claimed that developing education is the key to higher student achievement, as well as to other positive student outcomes, such as moral values and tolerance. The authors analyze the main ways of implementing of developing educational technology for teaching mathematics at secondary school. The basic requirements for the organization of the cognitive process with applying of the ideas of developing education are presented. To implement the developing education technology teacher must not only adapt it to the specific learning situation, but also provide a fundamentally different type of interaction with the pupils, implementing the interactive learning model. The feature of the interactive learning model consists in specific learning process which takes place under conditions of continuous, active cooperation of all pupils. This is type of “learning together”, where students and teachers are equal, equivalent players. The organization of interactive model provides interactive training simulation situations, the implementing of role-playing didactic games, a joint problem solution by analyzing the relevant circumstances of situations. The authors’ experience of organizing developing teaching technology on the lessons of mathematics for different grades in the Bar municipal secondary school (Vinnytsya region) is shown. Some examples of mathematics lesson fragments (chapter “Differential calculus”), game situations (mathematical game “Do you believe in…?” for topic “Polyhedrons”, specific learning tasks (mathematical rebus and jigsaw) aimed at developing of important pupils’ competencies during the process of teaching mathematics are given. The fragment of the third issue of authors’ mathematical newspaper “True mathematician” is presented