RESEARCH PAPER
Types of Work in Forming Analytic and Synthetic Activity Skills in Teaching the Algebra Course
 
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Solikamsk State Pedagogical Institute, Perm State National Research University, Solikamsk, RUSSIA
 
 
Online publication date: 2017-10-30
 
 
Publication date: 2017-10-30
 
 
EURASIA J. Math., Sci Tech. Ed 2017;13(11):7257-7267
 
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ABSTRACT
The relevance of this study is determined by the problem of developing various methods and techniques of analytic and synthetic activity with the aim of finding solutions to problems that involve the use of analysis and synthesis processes. Analytic and synthetic activity plays an important role in the process of cognition. The purpose of the study is to single out types of work aimed at forming analytic and synthetic activity skills in teaching the algebra course. The results of the study: the skills included in the analytic and synthetic activity are distinguished: to dismember the whole into its component parts; to establish relationships between parts of the whole (to distinguish the general and the different, the known and the unknown, the essential and the nonessential); to make up the whole from the parts, a new object from the individual elements; to draw up an action plan for solving the problem (task); to find errors and explain their reasons. Appropriate content-related components are revealed which are required for working with concepts, theorems, and tasks, and should be used to form analytic and synthetic activity skills in schoolchildren when studying algebra. The significance of the study: the materials of the article can be useful for heads of educational structures at various levels, school teachers, gymnasiums, lyceums, and parents.
REFERENCES (36)
1.
Aksu, G., & Koruklu, N. (2015). Determination the effects of vocational high school students’ logical and critical thinking skills on mathematics success. Egitim Arastirmalari- Eurasian Journal of Educational Research, 59, 181-206. doi:10.14689/ejer.2015.59.11.
 
2.
Antsyferova, L. I. (1969). The principle of the connection between consciousness and activity and the methodology of psychology. Methodological and Theoretical Problems of Psychology. Moscow: Nauka,.
 
3.
Bakirov, R. F. (2016). Analytic-synthetic ability and ways of its development in schoolchildren. International Journal of Humanitarian and Natural Sciences, 1(3), 76-80.
 
4.
Battilotti, G. (2015). Symmetry vs. duality in logic: An interpretation of Bi-logic to model cognitive processes beyond inference. International Journal of Cognitive Informatics and Natural Intelligence, 8(4), 83-97. doi:10.4018/ijcini.2014100105.
 
5.
Bochkareva, L. V. (2014). Development of analysis, synthesis and foresight in the process of solving problems in probability theory: Textbook. Allowance. Ishim.
 
6.
Chan, P. S. (2016). From passive to active learning in A-level mathematics classroom. Proceeding of the 12th International Conference of the Learning Sciences: Transforming Learning, Empowering Learners, ICLS; National Institute of Education (NIE), Nanyang Technological University Singapore; Singapore; 20 June 2016-24 June 2016, 2, 1302-130.
 
7.
Chen, J., Jiang, Q., Wang, Y., & Tang, J. (2016). Study of data analysis model based on big data technology. IEEE International Conference on Big Data Analysis, ICBDA, Hangzhou, China. doi:10.1109/ICBDA.2016.7509810.
 
8.
Dalinger, V. A. (1995). Methods of work on the formulation, proof and consolidation of the theorem: A book for teachers. Omsk.
 
9.
Dhatsuwan, A., & Precharattana, M. (2016). BLOCKYLAND: A Cellular Automata-Based Game to Enhance Logical Thinking. Simulation and Gaming, 47(4), 445-464. doi:101177/1046878116643468.
 
10.
Episheva, O. B., & Krupich, V. I. (1990). Teach students to study mathematics: the formation of methods of educational activity: a book for the teacher. Moscow: Obrazovanie.
 
11.
Epova, E. V. (2000). Formation of analytic and synthetic activity in students of pedagogical universities when studying the course of algebra and theory of numbers. Candidate Thesis (Education). Novosibirsk.
 
12.
Erdniev, P. M, & Erdniev, B. P. (1986). Integration of didactic units in teaching mathematics: A book for teachers. Moscow: Obrazovanie.
 
13.
Fazilova, Sh. N. K. (2015). Solution of mathematical problems, as a way of development of logical thinking of pupils of primary classes. The World of Science, Culture, Education, 3, 178-181.
 
14.
Gödel, K. (1967). On formally undecidable propositions of Principia Mathematica and related systems. In Heijenoort J. From Frege to Gödel: A source book in mathematic logic, 1879 – 1931. Cambridge, Mass: Harvard University Press. XII, pp. 596-616.
 
15.
Grudenov, Ya. I. (1990). Perfection of the methodology of the teacher of mathematics: a book for the teacher. Moscow: Obrazovanie.
 
16.
In’am, A. A. (2016). Logical thinking analysis through the Euclidean geometry. Global Journal of Pure and Applied Mathematics, 12(1), 1069-1075.
 
17.
Jasečková, G., & Krivoňáková, N. (2016). Logic as a key tool in education. Proceedings of the 15th Conference on Applied Mathematics APLIMAT 2016; Bratislava; Slovakia; 2-4 February 2016, pp. 614-620.
 
18.
Kalmykova, Z. I. (1954). Processes of analysis and synthesis in solving arithmetic problems. News of APN RSFSR, 61, 206–232.
 
19.
Kazachek, N. A., & Epova, E. V. (2014). Formation of Pupils’ Analytic-Synthetic Activity while Studying Algebra in the Context of Summer Professionally-Oriented School. Scholarly Notes of Transbaikal State University. Series Vocational Education, Theory and Methods of Teaching, 6, 145-151.
 
20.
Koldunova I. D. (2015). Formation of subject competence on the theory of algorithms of students of higher pedagogical universities on the basis of analytic and synthetic activity. Bulletin of Tomsk State Pedagogical University, 11, 32-36.
 
21.
Koldunova, I. D. (2015). Model of the development of the analytic-synthetic component of the thinking of future teachers of informatics in the teaching of the theory of algorithms. Bulletin of V.P. Astafiev KSP University, 1, 225-230.
 
22.
Koldunova, I. D. (2015). The construction of analytical-synthetic problems in the theory of algorithms. Pedagogical Education in Russia, 4, 133-139.
 
23.
Korostelev, A. A., & Yarygin O.N. (2011). Competence approach: problems of terminology. Vector of Science of TSU. Series: Pedagogy, psychology, 2, 212-220.
 
24.
Kozhabaev, K. G, & Gabdullin, R. S. (2016).On the development of students’ thinking in the process of teaching mathematics. Modern Science-Intensive Technologies, 5-3, 554-559.
 
25.
Landa L. N. (1975). Ability to think. How can he teach? Moscow: Znanie.
 
26.
Pivovarkin, O. K. (2015). Analytical and synthetic activity as a component of the educational and cognitive competence of students. Actual directions of scientific research of the XXI century: theory and practice, 9-1, 232-236. doi:10.12737/15881.
 
27.
Pospelov, N. N. (1989). Formation of mental operations in high school students. Moscow: Pedagogika.
 
28.
Ramirez-Benavides, K., & Guerrero, L. A. (2015). MODEBOTS: Environment for Programming Robots for Children between the Ages of 4 and 6. Revista Iberoamericana de Tecnologiasdel Aprendizaje, 10(3), 152-159. doi:10.1109/RITA.2015.2452692.
 
29.
Sadi, Ö., & Çakıroğlu, J. (2015). The effect of logical thinking ability and gender on science achievements and attitudes towards science. Croatian Journal of Education, 17(3), 97-115. doi:10.15516/cje.v17i0.881.
 
30.
Samarin, Y. A. (1962). Essays on the psychology of the mind: features of mental activity of schoolchildren. Moscow: Publishing house of the Academy of Pedagogical Sciences of the RSFSR.
 
31.
Seyhan, H. G. (2015). The effects of problem solving applications on the development of science process skills, logical thinking skills and perception on problem solving ability in the science laboratory. Asia-Pacific Forum on Science Learning and Teaching, 16(2), article number 8.
 
32.
Tokareva, L. I. (2014). Learning the students of analytical and synthetic activities in solving geometric problems. Mathematical Bulletin of Pedagogical Universities and Universities of the Volga-Vyatka region, 16, 278-283.
 
33.
Vasil’eva, V. M., Arons, E. K., Fonsova, N. A., & Shestova, I. A. (1988). The role of the time factor in human analytical-synthetic activities. Journal of the Institute of higher nervous activity named after I.P. Pavlov, 38(4), 601-606.
 
34.
Vygotsky, L. S. (1991). Pedagogical psychology. Edited by V. V. Davydov. Moscow: Pedagogika.
 
35.
Walsh, A. (2002). Guide to Writing Learning Outcomes. Learning and Teaching Development Unit. Surrey: Kingston University, pp. 78-89.
 
36.
While, R. W. (1959). Motivation reconsidered: The concept of competence. Psychological Review, 66, 297-333.
 
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