METHODOLOGICAL APPROACHES TO DESIGN OF THE ADAPTIVE SYSTEM FOR MATHEMATICAL TRAINING OF STUDENTS

Vera I. Toktarova¹ and Svetlana N. Fedorova^2
1 Assoc. Prof., PhD, Mari State University, Russia, toktarova@yandex.ru
² Prof. Dr., Mari State University, Russia, svetfed65@rambler.ru

Abstract
Functional implementation of mathematical training of students from the perspective of national strategies of higher education development is impossible without taking into account adaptive possibilities of the educational system. The article considers the issues connected with pedagogical design of the adaptive system for mathematical training of students of higher educational institutions. It gives a definition of a methodological approach, proves conceptual levels of methodological analysis: philosophical, general scientific, specific scientific, technological which form a complicated subordinate system. As a methodological framework of the research the authors consider in depth the ideas of system, synergetic, environmental, person-centered, competency building, activity, context, process, axiological, and cultural approaches. They elicited and described main functional and conceptual approaches which made a methodological foundation for the design and development of the adaptive system for mathematical training of HEI students.

Keywords: methodological approaches, mathematical training, adaptive system, pedagogical design, educational process, higher education, student