American Journal of Educational Research
ISSN (Print): 2327-6126 ISSN (Online): 2327-6150 Website: Editor-in-chief: Ratko Pavlović
Open Access
Journal Browser
American Journal of Educational Research. 2014, 2(12B), 33-40
DOI: 10.12691/education-2-12B-7
Open AccessResearch Article

The Problem of Forming and Developing Students’ Logical Thinking in the Context of Subject Specialization in Secondary School

N. A.Tarasenkova1, and I. A. Akulenko1

1Bohdan Khmelnytsky National University at Cherkasy, Cherkasy, Ukraine

Pub. Date: December 14, 2014
(This article belongs to the Special Issue Ensuring the Quality of Higher Education)

Cite this paper:
N. A.Tarasenkova and I. A. Akulenko. The Problem of Forming and Developing Students’ Logical Thinking in the Context of Subject Specialization in Secondary School. American Journal of Educational Research. 2014; 2(12B):33-40. doi: 10.12691/education-2-12B-7


The article considers the certain features of the development of learners’ logical reasoning in classes with different subject-specialization at secondary school. A short author’s review of literature suggests that three main directions have been formed in the theory of teaching mathematics in the last 50-60 years in . The author investigates them in brief. The analysis shows that the current approach to forming pupils’ logical thinking, significantly varies depending on the subject-specialization and the level of mathematics training. More detailed investigation of particular methods and techniques of teaching the elements of mathematical logic in classes with advanced study of mathematics are given in the article.

learners’ logical reasoning subject-specialization at secondary school teaching the elements of mathematical logic advanced study of mathematics

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit


[1]  Ivin, A.A.Logic,Artek, Kyiv, 1996, 232.
[2]  Sereda, V.Yu. Learn to think logically, Rad. shkola, Kyiv, 1989, 175.
[3]  Hladunsky, V.N. Methodological foundations for the study course of logic in general, specialized and specialized schools, Institute of Pedagogy and Psychology of Professional Education of APS Ukraine, Kyiv, 1998, 20.
[4]  Khomenko, I.V., Aleksyuk, I.A.Fundamentals of logic, GoldenGate, Kyiv,1996, 256.
[5]  Stolyar, A.A. Why and how do we prove in mathematics: Conversations with senior pupils, Nar. osvita, Minsk, 1987, 142.
[6]  Stolyar, A.A. “The role of mathematics in the humanization of education”, Mathematics at school, 6, 5-7, Jul. 1990.
[7]  Nicholskaya, I.L. Acquaintance with mathematical logic, Moscow psycho-social institution, Flint, Moscow, 1998,128.
[8]  Nicholskaya, I.L. Instilling logical literacy while teaching mathematics, Moscow, 1973, 185.
[9]  Malanyuk, E.P. Forming pupils’ (grades 1-5) logical literacy in the process of teaching mathematics, Kyiv, 1979, 24.
[10]  Malikov, T.S. Inductive and deductive reasoning as a means of development of students’ activity and critical thinking while teaching mathematics, Moscow, 1988, 16.
[11]  Latotin, L.A. Development of logic thinking of pupils of 4-8 classes through the study of logical operations and relations (in the algebraic material), Minsk, 1982, 17.
[12]  Markushevich, A.I. “On the immediate tasks of school teaching”, On upgrade paths of school mathematics, Education, Moscow, 1978, 29-48.
[13]  Kuzhel, A.V. “Logical foundations of school mathematics course” Mathematics at school, 1, 3-6, Jan. 1999, 3, 7-9, Mar. 1999.
[14]  Poya, D. Mathematics and plausible reasoning, Science, Мoscow, 1975. [E-book] Available: [Accessed Aug. 4, 2014]
[15]  Sarantsev, G.I. Teaching mathematical proof at school, Education, Мoscow, 2000, 174.
[16]  Tereshin, N.A. Mathematics teacher’s methodical system in the development of pupils’ scientific outlook, Moscow, 1991, 44.
[17]  Slepkan, Z.I. Methodical system implementing developmental function of teaching mathematics at school, Moscow, 1987, 47.
[18]  Grishko, O.I. Formation of senior pupil’s skills to argue convincingly while teaching mathematics, Kyiv. 1994, 199s
[19]  Zagoruy, R.V. Senior pupil’s mastering in making conclusions (on materials of Mathematics), Kyiv, 1990, 22.
[20]  Shardakov, M.N. Thinking of a pupil, Uchpedgiz, Moscow, 1963, 256. [E-book] Available:,1/ [Accessed Aug. 4, 2014]
[21]  Lyman, F.M. Mathematical logic and the theory of algorithms, “Slobozhanzshina”, Sumy, 1998, 152.
[22]  Shevchenko, V.E. Some ways to solve logical problems, High School, Moscow, 1978, 80.
[23]  Merzlyak, A.G., Nomirovsky, D.A., Polonsky, V.B., Yakir. M.S, Algebra and analysis beginning: textbook for grade 10 with advanced study of mathematics, Gimnaziya, Kharkiv, 2010, 415.
[24]  Concept of subject-specialised education at high school, Information anthology of Ministry of education and science of Ukraine, № 24, 3-15, 2003.
[25]  On Approval of the Concept of subject-specialized education at high school. Order of Ukraine Ministry of education № 1456 10/21/13. Available: [Accessed Aug. 4, 2014]
[26]  Akulenko I. A. “Clarify the problem of future math teachers’ of specialized schools methodical training”, Science and Education a New Dimension, Budapest, V. 5, 48-53. 2013. Available: school_teachers_methodical_preparation.pdf [Accessed Aug. 4, 2014]
[27]  Tarasenkova, N. A., Akulenko, I. A., “Determination of Students’ Beliefs is one of the Aspects of Competence Oriented System of Mathematics Teachers’ Methodical Preparation.” American Journal of Educational Research 1, no. 11, 477-483, 2013. Available: [Accessed Aug. 4, 2014]