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American Journal of Educational Research. 2013, 1(11), 464-471
DOI: 10.12691/EDUCATION-1-11-2
Research Article

The Quality of Mathematical Education in the Context of Semiotics

Nina Tarasenkova1,

1Bohdan Khmelnytskyy National University at Cherkasy, Cherkasy, Ukraine

Pub. Date: November 03, 2013
(This article belongs to the Special Issue Ensuring the quality of higher education)

Cite this paper

Nina Tarasenkova. The Quality of Mathematical Education in the Context of Semiotics. American Journal of Educational Research. 2013; 1(11):464-471. doi: 10.12691/EDUCATION-1-11-2

Abstract

The content of mathematics education takes on a specific form of existence in a variety of shells – verbal and non-verbal, which are created with the help of sign and symbol means of a different nature. The language is the main means. In teaching signs and symbols perform a substitutional, cognitive, and communicative function; build up an informational basis of students’ learning activities. In mastering learning contents signs and symbols are the subject of study, and an instrument of knowledge. Operating sign and symbolic means is a necessary component of students’ learning activities, which is directly related to semiosis in students’ training activities and enrichment of the conceptual structures possessed and acquired by the students. Mastering different means of fixing the training material contents and every kind of sign and symbolic activity, namely – substitution, coding (decoding), schematization, and modeling is the basis of the information culture and a prerequisite for the development of each student’s personality. The selection and use of sign and symbol means should be made on the basis of the analysis of conflicts between the logical and visual. Such conflicts may have not only an objective, historically conditioned character. Most often they are generated by subjective factors – the advent of the students’ misunderstanding of the contents of the material and the negative attitudes to the possibility to understand the content, inability to place content in different sign and symbolic shell, the presence of adhesions (but not a dialectical unity) of content and form which were formed in the prior learning students’ experience, etc. Adequate conditions for the training and development of all students in the course of mathematics acquisition are created through a comprehensive, systematic and activity approaches to the use of verbal and non-verbal sign and symbol means. Thus, the new goal in teaching mathematics is the ensuring of the two processes unity: the formation of subject knowledge, skills and abilities, on the one hand, and the experience of independent sign and symbolic activities of students, on the other hand.

Keywords

teaching mathematics, semiotics, sign and symbol means, conflicts between logical and visual

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References

[1]  Alekseev, NA, Pedagogical bases of designing a student-centered learning: dissertation, Tyumen State University, Tyumen, 1997, 42.
 
[2]  Bakhtin, M. M, The aesthetics of verbal creativity, Iskusstvo, Moscow, 1986, 445.
 
[3]  Bevz, G. P, Methods of Teaching of Mathematics, Vyshcha shkola, Kyiv, 1989, 367.
 
[4]  Bevz, H.P, "Of numbers", Mathematics in School, № 1, 6-9, 2002, № 2, 23, 2002.
 
[5]  Bobrovnyk, M. P, Zhurbas, M. O, Visual aids in mathematics, Radyans’ka shkola, Kyiv, 1968, 180.
 
[6]  Boltyanskii, V.G, "Functions of educational tools and organization of the search for tasks solutions," Sovetskaya pedagogika, № 10, 40-47, 1975.
 
[7]  Vilenkin, N. Ya, Shvartsburd, S. I, "Statements, expressions, variables", Matematika v shkole, № 3, 34-41, 1970.
 
[8]  Vladimirsky, G. A, Stereoscopic drawings of the geometry: The Album, Uchpedgiz, Moscow, 1963, 176.
 
[9]  Vygotsky, LS, Collected Works, in 6 volumes, Volume 2: Thought and Language, Pedagogika, Moscow, 1982, 504, Volume 3: Problems of development of the mind, Pedagogy, Moscow, 1982, 367.
 
[10]  Geistut, A. G, Khmara, T. M, "Statistics in Pictures", Matematyka v shkoli, № 1, 29-30, 1999.
 
[11]  Hegel, G. F, Science of Logic: In three volumes, Volume 1: The Doctrine of Being, Mysl', Moscow, 1970-1972, 501, Volume 2: The doctrine of the essence, Thought, Moscow, 1970-1972, 248, Volume 3: The teaching of the concept, Thought, Moscow, 1970-1972, 374.
 
[12]  Ilyenkov, E.V, Dialectical logic: Essays on the History and Theory, Politizdat, Moscow, 1984, 320.
 
[13]  Cassirer, E. Shortlist. Essay on Man, Gardarica, Moscow, 1998, 784.
 
[14]  Kovalenko, V. G, Sledzinskyy, J. F, Mathematical symbols: A Guide for teachers’ self-education, Radyans’ka shkola, Kyiv, 1981, 80.
 
[15]  Kolmogorov, A. N, Mathematics – science and profession, Nauka, Moscow, 1988, 288.
 
[16]  Ostrovsky, A. I, Kordemsky, B. A, Geometry helps Arithmetic, Fizmatgiz, Moscow, 1960, 168.
 
[17]  Piaget, J. Psychogenesis knowledge and its epistemological significance, Semiotics: An Anthology, Academics project, Moscow, Delovaya kniga, Yekaterinburg, 2001, 98-110.
 
[18]  Psychology: Tutorial for pedagogical universities / edited by G.S. Kostiuk, Radyans’ka shkola, Kyiv, 1968, 572.
 
[19]  Piatigorsky, A. M, Some general comments on the review of the text as a kind of signal, School "Languages ​​of Russian culture", Moscow, 1996, 590.
 
[20]  Salmina, N. C, The sign and symbol in teaching, Moscow State University Press, Moscow, 1988, 286.
 
[21]  Slepkan, Z. I, Psychological and pedagogical bases of learning mathematics, Radyans’ka shkola, Kyiv, 1983, 192.
 
[22]  Stolyar A. A, Pedagogy of Mathematics, Vysheyshaya shkola, Minsk, 1974, 382.
 
[23]  Tarasenkova, N. A, Using sign and symbolic means in teaching mathematics: Monograph, "Vidlunnya-Plyus", Cherkasy, 2002, 400.
 
[24]  Khmara, T. M, Teaching students the mathematical language, Radyans’ka shkola, Kyiv, 1985, 95.
 
[25]  Tsukar, A.Ya. "Schematization and modeling in solving text problems", Matematika v shkole, № 5, 48-54, 1998.
 
[26]  Yudin, E.G. et al, Science and the world of man, Znaniye, Moscow, 1978, 64.