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DEVELOPMENT OF MATHEMATICAL THINKING OF STUDENTS IN SOLID GEOMETRY COURSE IN THE CLASSES OF PHYSICAL AND MATHEMATICAL PROFILE // Tomsk State Pedagogical University Bulletin. 2013. Issue 4 (132). P. 51-55

This article deals with the training solid geometry in the classes of physical and mathematical profile in the context of students’ mathematical thinking. See author’s system-oriented problems mastering the mathematical activity. The majority of the problems have been instructed, solution ideas and answers.

Keywords: mathematical thinking, mathematical activity, physical and mathematical profile, solid geometry, problem

FEATURES OF THE ORGANIZATION OF SOLID GEOMETRY TRAINING IN CLASSES OF PHYSICS AND MATHEMATICS PROFILE // Tomsk State Pedagogical University Bulletin. 2013. Issue 8 (136). P. 195-197

This article deals with the features of the organization of the learning of solid geometry process in the classes of physics and mathematics profile. There were revealed the principles and forms of organization of the educational process, structuring the content, system tasks, assessment and recording of learning outcomes.

Keywords: solid geometry, physical and mathematical profile, mathematical activity, mathematical thinking, modular training, the rating system

ON THE PRINCIPLES OF CONSTRUCTION OF METHODICAL SYSTEM IN GEOMETRY FOR THE CLASSES OF PHYSICAL AND MATHEMATICAL PROFILE BASED ON THE PROBLEM SOLVING APPROACH // Tomsk State Pedagogical University Bulletin. 2015. Issue 1 (154). P. 72-79

The article examines the principles of construction of methodical system in geometry using problem solving approach, which acts simultaneously as a technology of solving geometric problems and as a way of design the system of challenging problems, focused on students mastering the mathematical activity. We consider and resolve two contradictions: between modern approaches to teaching mathematics as a process of learning mathematical activity and their lack of implementation of the methods of teaching geometry at profile level; between the objective necessity of designing educational process to teach geometry creatively and the lack of appropriate methodological training system. We discuss some features of problems, create in the student environment for positive motivation and ensure the formation of students’ independent thinking. We also consider the examples of challenging problems with solutions.

Keywords: methodical system of training, problem solving approach, mathematical thinking, mathematical activity, specialized education, challenging problems