UDC: 
371+37.0
Dulatova Zainep Asanalievna
Кандидат физико-математических наук, Cand. Sci. (Physics and Mathematics), Chair of the Department of Mathematics and Method of Teaching Mathematics, Irkutsk State University, dulatova@yandex.ru, Irkutsk
Kovyrshina Anna Ivanovna
Кандидат физико-математических наук, Assoc. Prof. of the Department of mathematics and method of teaching mathematics, Irkutsk State University, annkow@mail.ru, Irkutsk
Lapshina Elena Sergeevna
Кандидат физико-математических наук, Assist. Prof. of the Department of mathematics and method of teaching mathematics of Irkutsk State University, Irkutsk State University, esl7828@gmail.com, Irkutsk
Shtykov Nikolay Nikolaevich
Кандидат физико-математических наук, Cand. Sci. (Physico-mathemat.), Assoc. Prof. of the Department of Mathematics and Method of Teaching Mathematics, Irkutsk State University, tukubik8@gmail.com, Irkutsk

Formation, Development and Evaluation of Logical Universal Learning Activities

Abstract: 
The article is devoted to the search for a common approach to the formation, development and evaluation of the formation of logical universal learning activities (ULA) in the process of subject teaching in school. A review of the existing methodological and methodological approaches and didactic tools for the formation of logical ULA is given. A formal logical approach based on the analysis of logical structures and structures in the theoretical and practical content of the discipline is proposed. The formal-logical approach provides the possibility of its application in the process of teaching disciplines representing various scientific fields, which corresponds to the above-subject nature of universal learning activities. The article highlights the typical logical errors of students made when performing tasks with a detailed answer in the framework of the state final certification in the subjects of “Mathematics” and “Social Studies”. To identify the causes of non-compliance of the requirements for the level of formation of logical ULA graduates with the requirements of the federal state standard, the content of textbooks in mathematics and social studies is analyzed.
Keywords: 
logical universal learning actions, logical thinking, school education
References: 

1. Adzhemyan G.A., 2016.Formation of universal educational actions for younger adolescents when performing mathematical tasks of physical content. Cand. Sci. (Pedagogy). Moscow, 277 p. (In Russ.).
2. Asmolov A.G., Burmenskaya G.V., I.A. Volodarskaya, 2008.How to design a universal learning activities in elementary school, from action to thought: Teacher's Guide. Moscow :Prosveschenie, 151 p. (In Russ.).
3. Bozhenkova L.I., 2016. Сognitive universal educational actions in teaching mathematics. Scienceand School. №1,pp. 54 – 60.(In Russ., abstract in Eng.)
4. Budakhina N.L., 2012.Improving study skills with use of the graphic calculator at economy lessons in high school. Modern problems of science and education,№2. [online]. Available at:http://science-education.ru/ru/article/view?id=5665 (Accessed: 30.10.2018).(In Russ.)
5. Vilenkin N.Y., 2013. Mathematics. Grade 5: a textbook for general education organizations– Moscow: Mnemozina, 280 p. (In Russ.).
6. Dalinger V.A., 2013. Question-answering technique as a means of students general educational activities development in mathematics teaching. Fundamental research. № 6, pp. 1238– 1242.(In Russ., abstract in Eng.)
7. Dorofeev G.V., Peterson L.G., 2011. Mathematics. Grade 5. Part 1.–Moscow:Juventa, 176 p.(In Russ.).
8. Dorofeev G.V., Peterson L.G., 2011. Mathematics. Grade 5. Part 1.–Moscow: Juventa, 240 p.(In Russ.).
9. Dulatova Z.A., Lapshina E.S., 2017.Logical problems as means of development of cognitive universal learning activities. Siberian Pedagogical Journal. № 3, pp. 41–48. (In Russ., abstract in Eng.)
10. Dulatova Z.A., Lapshina E.S., 2016.About the development of logical thinking of students means of mathematics. Siberian Pedagogical Journal. № 3, pp. 7–12. (In Russ., abstract in Eng.)
11. Kozlova S.A., 2013. Mathematics. Grade 5:a textbook for general education organizations.Part 1– Moscow: Balass, 208 p.(In Russ.).
12. Nikolsky S.M., 2015. Mathematics. Grade 5: a textbook for general education organizations –Moscow: Prosveshcheniye, 272 p.(In Russ.).
13. Nikitin A.F., 2014. Social Studies. Grade 5: a textbook – Moscow: Drofa, 208 p.(In Russ.).
14. Bogolyubov L.N., 2013. Social Studies. Grade 5: a textbook for general education organizations–Moscow: Prosveshcheniye, 127 p. (Academic school textbook).(In Russ.).
15. Soboleva O.B., Ivanov O.V., 2015. Social Studies. Grade 5: a textbook– Moscow: Ventana-Graf, 144 p.(In Russ.)
16. Federal state educational standard of secondary (complete) general education [online]. Available at: https://fgos.ru/(Accessed: 30.10.2018).(In Russ.)
17. Federal Institute of Pedagogical Measurements[online]. Available at: https://fgos.ru/(Accessed: 30.10.2018).(In Russ.)
18. Inhelder B, Chipman H. Piaget and his School. – N. Y., 1976.
19. Nunes T., Bryant P., Evans D., Bell D., Gardner S., Gardner A., Carraher J. The contribution of logical reasoning to the learning of mathematics in primary school.//British Journal of Developmental Psichology. – 2007. – V25, Is.1. – P. 147–166.