SPECIAL FEATURES OF TEACHING HIGH-SCHOOL STUDENTS SKILLS FOR SOLVING MATHEMATICS PROBLEMS OF HIGHER COMPLEXITY
From the standpoint of activity theory we discuss the methodological features of teaching students skills for solving mathematics problems of higher level of complexity. We propose a classification of this type of problems (problems with parameters, problems on divisibility, problems on the decimal representation of numbers, Diophantine equations, problems on finding the largest or smallest natural values satisfying given conditions, problems on the integer part of numbers, etc.) and a step-by-step method for solving them. For each type we provide a set of examples of non-standard problems with full solutions aimed at development of students’ positive motivation, independent thinking, and action skills necessary for their successful mastering of mathematical activity. The developed materials can be used as part of a school course in advanced study of mathematics, as well as to prepare students for the All-Russian Olympiads in mathematics.
Keywords: mathematics problems of higher complexity, step-by-step method for solving non-standard problems, problem-centered approach to learning, mathematical activity
References:
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Issue: 8, 2015
Series of issue: Issue 8
Rubric: GENERAL EDUCATION
Pages: 48 — 52
Downloads: 578