Dergiler / A. Âsaui atyndaġy Halyk̦aralyk̦ k̦azak̦-tùrìk universitetìnìn̦ habaršysy / 2017 / Sayı: 105 #89342

Methodical system of studying of continuous functions

Methodical system of studying of continuous functions

Sayfa
14–30
DOI
—

Özet

The article identifies the problems, analyzes their causes, presents methodological approaches to the study of the continuity of the function, knowledge of which has a significant impact on both the mathematical and methodological training of future specialists. The formation of intuitivevisual representations is a primary task for mastering the concept of continuity. Assessment of the level of mastering of concepts should be conducted, basically, not by the ability to reproduce the definitions of the continuity of a function at a point, but at the level of identification.

Abstract

The article identifies the problems, analyzes their causes, presents methodological approaches to the study of the continuity of the function, knowledge of which has a significant impact on both the mathematical and methodological training of future specialists. The formation of intuitivevisual representations is a primary task for mastering the concept of continuity. Assessment of the level of mastering of concepts should be conducted, basically, not by the ability to reproduce the definitions of the continuity of a function at a point, but at the level of identification.

Anahtar kelimeler: methodological approaches, mathematical analysis, continuity of function, limit, graph of function