Abstract
This article is devoted to the development of algorithms for the adaptation of mathematical educational content and their implementation in the e-learning system. The adaptation of a mathematical content consists in the selection of an optimal edition of the material that best suits the individual characteristics of the student. The novelty of the work is the organization of the adaptation algorithms of the educational content in a three-level system: "introductory content adaptation" (an adaptation of the content of introductory materials of the discipline based on the initial level of students) - "current adaptation of the content" (an adaptation of the mathematical content based on current effective actions of students in the electronic course) - "appraisal-correcting adaptation" (an adaptation of normative parameters of the level of assimilation of materials, taking into account the results achieved by students). The introduction of the proposed three-stage system makes it possible to implement in individual educational trajectories and to form for each student a personal space of mathematical educational content that adapts to its level of mastering the material, which helps to improve the quality of instruction in mathematical disciplines. An approbation of the proposed algorithms was carried out in the adaptive e-course in discrete mathematics, implemented at Siberian Federal University in Russia.
Highlights
New educational technologies are developing in the world education system, including the individualization of the educational process in an electronic environment is becoming increasingly widespread
The majority of respondents (86.1%) noted an increase in motivation to study the discipline in adaptive elearning course (AELC) conditions, 13.8% abstained from an answer and the adaptation of the content seemed rather uninteresting only for 1.1% of respondents; no one spoke for the total lack of interest in the methods of adapting the educational content
The approbation of the adaptation algorithms proposed in this work within the framework of AELC in discrete mathematics showed their effectiveness in the educational process
Summary
New educational technologies are developing in the world education system, including the individualization of the educational process in an electronic environment is becoming increasingly widespread. The range of functional tasks solved with the help of adaptive educational courses implemented in e-learning systems is extremely wide, ranging from the organization of independent work of students and distance learning to the development of professional competencies in the conditions of the modern trend "Life Long Learning". The key tasks in the development of adaptive learning courses in mathematical disciplines are: structuring of educational mathematical content, building the normative model of a learner, and elaboration of algorithms and methods of an automatic navigation for the participants of the educational process in the e-learning system. The novelty of the work is that algorithms for adaptation of the educational content are developed within a three-level system: «introductory adaptation of content» (adaptation of the content of the introductory material of discipline on the basis of entry-level students) «the current adaptation of content» (adaptation of mathematical content based on current productive activities students in adaptive e-course) - «appraisal-correcting adaptation» (adaptation of the normative parameters of the level of assimilation of materials, taking into account the student's learning outcomes)
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