Novosibirsk State Pedagogical University Bulletin, 2017, vol. 7, no. 2, pp. 71–84
© Zhafyarov A. Z., 2017
UDC: 
371

Technology of implementing the competence-based approach within the school course of Mathematics

Zhafyarov A. Z. 1 (Novosibirsk, Russian Federation)
1 Novosibirsk State Pedagogical University, Novosibirsk, Russian Federation
Full text (Open Access) — Downloaded 7402
Abstract: 

Introduction. The article describes in detail the stages of the author's technology of implementing the competence-based approach in the educational process, which is demonstrated by the example of teaching the topic of irrationality in the school course of Mathematics.
Methodology. The author relies on the methodology and technology of implementing the competence-based approach in the process of teaching and learning mathematics at secondary schools; uses materials and methods of teaching the topic of irrationality.
Results. The author introduces two models based on the established technology: the model of basic competence development, and the model of the enhancing teachers’ competence concerning the topic of irrationality. The author introduces a more appropriate definition of the term equality of mathematical objects (equations, inequalities, systems and sets), which contributes to more effective teaching the school course of Mathematics, in particular the topic of irrationality. The article contains a brief outline of the technology of implementing the competence-based approach in education. The author emphasizes that 1) the key concepts of the competence-based approach are very complicated; 2) the concepts of the competence-based approach are often confused; 3) it is difficult to understand the essence of any technology by means of brief schemas. Therefore, the author offers this article, which considers implementing the above-mentioned technology in the process of teaching and learning the topic of the irrationality (also known as "The rational Function of variable degree and its applications").
Choosing this topic is explained by the following reasons: this topic causes great difficulties for teachers (not only Russian), students of pedagogical universities and, as a consequence, high school students; tasks based on this topic are included into the national state examinations; there is a small number of textbooks aimed at mastering the topic of irrationality.
Conclusion. Implementation of the proposed technology in teaching Mathematics will contribute to improving the quality of mathematical education and personal development of students.

Keywords: 

Competency; competence; introduction of competence approach; educational process; models of formation competence; equality of mathematical objects

https://www.scopus.com/record/display.uri?src=s&origin=cto&ctoId=CTODS_1...

Technology of implementing the competence-based approach within the school course of mathematics

For citation:
Zhafyarov A. Z. Technology of implementing the competence-based approach within the school course of Mathematics. Novosibirsk State Pedagogical University Bulletin, 2017, vol. 7, no. 2, pp. 71–84. DOI: http://dx.doi.org/10.15293/2226-3365.1702.05
References: 
  1. Ashby W. R. Design for a brain. The origin of adaptive behavior. London, Chapman and Hall Publ., 1960, 389 p.
  2. Bruner J. S. Toward a Theory of Instruction. Cambridge, The Belknap Press of Harvard University Press Publ., 1967, 176 p.
  3. Bruner J. S. The process of education. Cambridge, MA, Harvard University Press Publ., 1960, 229 р.
  4. Cheetham G., Chivers G. The reflective (and competent) practitioner: a model of professional competence which seeks to harmonise the reflective practitioner and competence-based approaches. Journal of European Industrial Training. 1998, no. 22 (7), pp. 267–276.
  5. Dewey J. Experience and education. N.Y., Simon and Schuster Publ., 2007, 96 р.
  6. Hirsch E. D. Cultural literacy: What every American needs to know. Boston, Houghton Mifflin Publ., 1987, 189 р.
  7. Kolb D., Fry R. Towards an applied theory of experimental leaning. Theories of group processes. London, Wiley Publ., 1975, pp. 33–57.
  8. Markham T., Lenz B. Ready for the world. Educational leadership.  2012, vol. 59, no. 7, pp. 47–52.
  9. Pinar W., Reynolds W., Slattery P., Taubman P. Understanding Curriculum: An Introduction to the Study of Historical and Contemporary Curriculum Discourses. N.Y., Peter Lang Publ., 2008, 1143 р.
  10. Shale D. G. Toward a reconceptualization of distance education. American Journal of Distance Education. 1988, vol. 2, no. 3, pp. 25–35.
  11. Zhafyarov A. Zh. The competence approach to studying of the school course of algebra. Pedagogical Education and Science. 2011, no. 8, pp. 64–68. (In Russian)
  12. Zhafyarov A. Zh. Methods and technology of increasing the competence of teachers and students of the theme “Divisibility of integers”. Monograph. Novosibirsk, NSPU Publ., 2012, 218 p. (In Russian)
  13. Zhafyarov A. Zh. Methodology and technology of increase of competence of teachers and students on the theme “Linear function and its applications”. Novosibirsk, NSPU Publ., 2013, 279 p. (In Russian)
  14. Zhafyarov A. Zh., Zhafyarov A. A. Methodology and technology of increase of competence of teachers and students on the topic “Quadratic function and its application in the process of learning school mathematics”. Monograph. Novosibirsk, NSPU Publ., 2014, 225 p. (In Russian)
  15. Zhafyarov A. Zh., Nikitina E. S., Fedotova M. E. Methodology and technology of forming of competence of teachers and students on the topic “Quadratic function and its applications”. Novosibirsk, Novosibirsk State Pedagogical University Publ., 2014, 145 p. (In Russian)
  16. Zhafyarov A. Zh., Nikitina E. S., Fedotova M. E. The Formation of basic competences and competences on the subject of “Function variables of high degree and its applications”. Novosibirsk, NSPU Publ., 2015, 140 p. (In Russian)
  17. Zhafyarov A. Zh., Nikitina E. S., Sleptsova A. E., Fedotova M. E. The Formation of basic skills and competencies on the theme: "the rational Function of variable degree and its applications". Novosibirsk, Novosibirsk State Pedagogical University Publ., 2016, 120 p. (In Russian)
  18. Kraevsky V. V., Khutorskoy A. V. Fundamentals of Training. Didactics and Methods. Manual. Moscow, Academy Publ., 2007, 352 p. (In Russian)
  19. Tsvetkov V. L., Khrustaleva, T. A., Rozhkov A. A. Krasnoshtanova N. N., Semchuk I. V. Competence-based approach as a strategy in professional training. Mathematics at school. 2015, no. 1, pp. 130–136. (In Russian)
  20. Shadrikov V. D. Personal qualities of the teacher as components of the professional competence. Bulletin of P. G. Demidov Yaroslavl state University. 2006, no. 1, pp. 15–21. (In Russian)
  21. Shkerina L. V. Methods of identifying and estimating the level of formation of professional competence of students – future teachers of mathematics. Krasnoyarsk, Krasnoyarsk State Pedagogical University named after V. P. Astaf'eva Publ., 2015, 264 p. (In Russian)
Date of the publication 30.04.2017