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Methodical Foundations for Active-Semantic Approach in the Context of Developing Teaching of Mathematic Analysis to Senior School Students // Tomsk State Pedagogical University Bulletin. 2004. Issue 5 (42). P. 106-110

In the given paper we present the basic ideas of the concept of the active-semantic approach in the context of developing teaching of mathematic analysis to senior school children. The given approach is regarded as the author's variant of the model of personally oriented teaching mathematics. In the paper we bring out some concrete tasks, which assist to reveal semantic aspects of abstract mathematic notions, included in the curriculum of algebra and essentials of analysis. In this paper we also describe some means of realizing the active-semantic approach: dialogue, integration of different ways of knowledge presentation, pointing out the perspectives of studying a new concept.

The Understanding Mastering of the Elements of Mathematical Analysis by Senior Pupils // Tomsk State Pedagogical University Bulletin. 2006. Issue 3 (54). P. 15-18

In the paper the author reveals the treatment of the term «the understanding mastering of the subject» He chooses such aspects of the category «meaning», which are used to teach pupils the mathematical notions. The stages of eliciting semantic contexts of the notion in the process of its forming are described; the conditions, assisting the understanding mastering of the subject are defined and grounded.