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

Aprendizado Baseado na Competência Aplicado ao Ensino Superior da Matemática como um Cluster de Abordagens Eficientes

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.

Keywords:
Mathematical competency; Polyparadigm approach; Didactic basis; Cluster of approaches; System to select the content of mathematics teaching

UNESP - Universidade Estadual Paulista, Pró-Reitoria de Pesquisa, Programa de Pós-Graduação em Educação Matemática Avenida 24-A, 1515, Caixa Postal 178, 13506-900 Rio Claro - SP Brasil - Rio Claro - SP - Brazil
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