The article is devoted to the study of the peculiarities of real numbers in the discipline "Algebra and analysis" in the secondary school. The theme of "Real numbers" is not easy to understand and often causes difficulties for students. However, the study of this topic is now being given enough attention and time. The consequence is a lack of understanding of students and school-leavers, what constitutes the real numbers, irrational numbers. At the same time the notion of a real number is required for further successful study of mathematics. To improve the efficiency of studying the topic and form a clear idea about the different numbers offered to add significantly to the material of modern textbooks, increase the number of hours in the study of real numbers, as well as to include in the school course of algebra topics "Complex numbers" and "Algebraic structures".
algebra and analysis, real numbers, irrational numbers,secondary education, didactics.
I. Введение
В настоящее время программы изучения математики в общеобразовательных школах по учебникам, рекомендованным Министерством образования и науки Российской Федерации, предполагают последовательное изучение школьниками натуральных чисел, дробей, целых чисел, рациональных чисел, иррациональных чисел и действительных чисел. Процесс изучения чисел начинается в 1-м классе начальной школы знакомством с натуральными числами, которые используются для счета предметов, далее на наглядных примерах вводятся дроби, целые числа, рациональные числа.
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