In the textbook the characteristics of the mathematical concepts and the process of their formation is revealed, the way of teaching definitions is clarified, the concepts of "judgment", "axiom", "theorem" are interpreted and their functions in teaching mathematics are explained, and they are interpreted as the purpose and means of learning. It is argued that questions, issues, and other types of tasks are important tools in teaching math., scientific explanations are given to priors and methods of training, their nomenclature and classification, ways to integrate into the real pedagogical process are highlighted, stages of the organizational form of active (interactive) training and their features are shown, details of valuation mechanisms, assessment forms, methods and tools, and criteria are discussed.   

In the book, in a sample of X-XI classes it provides an overview of the technology implementation of content standards in teaching math.

The textbook is intended for students studying at the universities being pedagogically oriented and universities of “Mathematics and Informatics teacher” and mathematics teachers working in secondary schools. Master's Degrees and doctoral students can benefit from these resources.