Veselyaeva T.Y. 1
1 Moscow State University n.a. M.V. Lomonosov
The usage of P. Ya. Gal’perin ideas for systematic construction of algebra training content is proposed in the article. One of the reasons for students’ common mistakes is revealed and that is the lack of exercises for expanded action drilling on the early stages of the assimilation process in textbooks. With the combination of the two methods proposed by N. F. Talyzina such as «theoretical and experimental modeling» and «analysis of existing activities,» i.e., math activities (types of a mathematician activities) (using such concepts of abstract algebra as binary operation, and neutral and symmetrical element) the allocation of the basic educational material units for studying Linear Equations topic has been demonstrated. A new method of studying Properties of Logarithms topic is being suggested: without the traditional artificial approaches, when it is possible to build an indicative basis for the action with a greater degree of independence of students.