MATHEMATICS AS A SCIENCE AND AS AN ACADEMIC SUBJECT
In the article we consider a few aspects about modern ways of high school math´s teaching in context of educational upgrade. Lack of basic mathematical knowledge may consequently cause serious problems during deeper mathematical research and professional as well. As a result, it´s needed to lead teaching techniques in an appropriate way with the level and developing features of present-day mathematics which is highly abstractive. In the article we discuss an algorithmic way to combine educational programs which realization starts from the scholar syllabus with proceeding progress of that way in high school programs, according to having this way as possibility to improve an educational process in common. Also in the article there are involved some other modern educational concepts including any of technical character type, for instance, methods to persuade students to recollect and improve their mathematical store of knowledge.