Electronic manual development for the elective course “Complex numbers” in the Russian and English languages

The article deals with the development of electronic manual for the elective course “Complex numbers” in the Russian and English languages. In the modern world you must have a complete understanding of the numbers to master mathematical culture, but currently methodological developments in the study of the theory of complex numbers in schools is relatively small and designed electronic manual for the elective course “Complex number” allows not only to improve the mathematical culture of students, but also to develop communicative competence. The aim of the research is to develop the electronic manuals for the elective course “Complex numbers” in two languages. The following methods were used: analysis of psychological, pedagogical and methodical literature, analysis and synthesis of personal experience of the authors. The electronic manuals, presented in the form of a website, for the elective course “Complex numbers” in two languages became the result of the research. Materials of the article can be useful to enrich pedagogical knowledge, notably a deficiency in the study of complex numbers in the school mathematics course is made up. New ways of thinking at possibility of studying complex numbers in two languages opens up prospects for the development of both mathematical and communication skills. The results of the research can be used by teachers in the educational process in preparing students, pupils of 11 grades, as well as in improving mathematical and communicative culture of the general public.