Competency-based Learning in Higher Mathematics Education as a Cluster of Efficient Approaches

Authors

  • Alexey A. Kytmanov Siberian Federal University http://orcid.org/0000-0003-3325-099X
  • Michael V. Noskov Siberian Federal University
  • Konstantin V. Safonov Siberian State Aerospace University
  • Marina V. Savelyeva Siberian State Aerospace University
  • Victoria A. Shershneva

Keywords:

Competency. Polyparadigm approach. Didactic basis. Cluster of approaches. System to select teaching con-tents.

Abstract

This paper presents the research results of what the process of mathematics tеaching should be under the competency-based approach allowing the development of a university student’s mathematical competency. It indicates that integrative structure of mathematical competency containing cognitive, practical, motivational and value-based, reflexive and assessment-based components, updates the polyparadigm approach in teaching mathematics as an open cluster of approaches; their integrated utilization under the leading role of competency-based approach contributes to developing all mathematical competency components. It justifies that competency-based, context-based, interdisciplinary, discipline-based and information technology approaches and fundamentalization play a critical part in the polyparadigm approach; the integrated utilization of all approaches results in a synergetic effect. Within this framework the basic principles of competency-based mathematics teaching as well as a coherent system to select the content of mathematics teaching for engineering educational institution students are developed.

Author Biographies

Alexey A. Kytmanov, Siberian Federal University

Department of Applied Mathematics and Computer Security, Professor, Head of the Department

Michael V. Noskov, Siberian Federal University

Department of Applied Mathematics and Computer Security, Professor

Konstantin V. Safonov, Siberian State Aerospace University

Department of Applied Mathematics, Professor, Head of the Department

Marina V. Savelyeva, Siberian State Aerospace University

Department of Foreign Languages in Engineering, Associate Professor, Head of the Department

Victoria A. Shershneva

Department of Applied Mathematics and Computer Security, Professor

Published

2016-12-01

Issue

Section

ARTIGOS