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

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 valuebased, 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. ResumoEste artigo apresenta resultados de pesquisa sobre como deve ser o processo de ensino da Matemática dentro da abordagem baseada na competência de modo a possibilitar o desenvolvimento das capacidades matemáticas do estudante universitário. Os resultados indicam que a estrutura integrante da competência matemática, contemplando os aspectos cognitivo, prático, motivacional, valor intrínseco, reflexivo e avaliativo, confirma a abordagem poliparadigmática do ensino da Matemática como sendo um cluster aberto de abordagens; a utilização inte- ISSN 1980-4415 DOI: http://dx.doi.org/10.1590/1980-4415v30n56a14 Bolema, Rio Claro (SP), v. 30, n. 56, p. 1113 -1126, dez. 2016 1114 grada dessas abordagens sob a óptica da competência contribui para o desenvolvimento de todos os componentes do domínio da matemática. A pesquisa justifica que as abordagens baseadas em competência, contexto, interdisciplinaridade, organização e tecnologia da informação desempenham um papel fundamental na abordagem poliparadigmática. A utilização integrada de todas as abordagens resulta em um efeito sinergético. Dentro desta estrutura, são desenvolvidos os princípios básicos do ensino da Matemática baseado na competência, assim como um sistema coerente para selecionar conteúdos de ensino para escolas de engenharia.Palavras-chave: Competência matemática. Abordagem poliparadigmática. Base didática. Cluster de abordagens. Sistema para selecionar conteúdos de ensino.

Methodical background of competence-based mathematics education for students of information technologies specialties

“…The development of integrative professional and mathematical competence suggested by different authors [9] is based on the following components: cognitive and contextual approach, motivational and value-based as well as eflexive and assessment-based. First two components relate to the use of mathematics in ICT engineering and include practical skills to be used in their professional activities.…”

Individualisation of Education in Terms of E‑learning: Experience and Prospects

“…As a pedagogical basis for creating an adaptive system of web-based teaching we use the poliparadigmal approach which is defined as an open and consistent cluster of approaches to teaching, the integrated use of which has a synergistic effect (Shershneva, 2014;Kytmanov et al, 2016). The competence-based approach takes the leading position in this cluster.…”

“…The system of web-based teaching includes a set of organisational and pedagogical conditions ensuring that a student acquires knowledge and experience, develops the skills, which result in a competence required for their professional activities (Shershneva et al, 2016).…”

Adaptive system of web-based teaching

“…As a pedagogical basis for creating the adaptive system of web-based teaching we use the poliparadigmal approach which is defined as an open and consistent cluster of approaches to teaching, the integrated use of which has synergistic effect [23,24]. The competence-based approach takes the leading position in this cluster.…”