The article is about the need of introducing a propaedeutic course of visual or combinatorial geometry, which precedes the systematic study of geometry to resolve children´s problems related to the axiomatic method. The author approves the importance of this course in the formation of geometric preliminary concepts, the development of visual-figurative thinking, positive motivation to study mathematics and the "awakening of thought" among the most gifted schoolchildren. The thematic planning of elective course "Task on Graph Paper", the basic features of solving these tasks and the two possible levels of achievement of the result on a specific example are presented.
school education, propaedeutics, elective course, visual and combinatorial geometry.
Опыт проверки работ ЕГЭ в комиссии по математике последние несколько лет показал, что большинство школьников чаще приступают к решению более сложных заданий с параметрами или целыми числами, чем к геометрическим задачам [1, с. 132]. Данное наблюдение приводит к неутешительному выводу: ученики не знают геометрию, не любят ее или даже боятся [2, с. 49].
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