Keyword: «circle»

To increase the level of mathematical preparation of schoolchildren and university entrants choosing technical and mathematical specialties of universities in school geometry lessons and in the process of preparing for the passing of the USE in mathematics (profile level), special attention should be given to those mathematical questions, without profound knowledge of which successful learning in higher educational institution would be impossible. In this article we give examples of solving problems with parameters. They are offered as increased difficulty problems when passing the USE. One of the differentiated approach possibilities of future students’ preparation is demonstrated who will have to learn the analytical geometry course among other courses. The examined problems show the advantages of graphical solution application with the help of second-order curves. The content of the article may be interesting to teachers, high school students, who are preparing to enter higher educational institutions for technical and mathematical specialties.

The article discusses methodological recommendations for teaching the topic «Circle and circle» for 9th grade students in preparation for solving tasks 23, 24 and 25 in the OGE in mathematics using problem-based learning technology.

In this article, the authors describe in sufficient detail and in a reasoned manner: the essence of cognitive interest in the Russian language and its development in younger schoolchildren; criteria, indicators of levels, diagnostic techniques are defined. The program of the Smart Solutions circle and methodological support for its implementation for the development of cognitive interest in the Russian language in children aged 10-11 have been developed and tested.