The research analyzes experience of implementing the courses Mathematical Analysis and History of Mathematics for future Mathematics teachers in the system of managing electronic academic courses (SMEAC) at Kryvyi Rih State Pedagogical University (KSPU). To create the courses, there is a block-modular approach enabling not only structuring the process of studying fundamental mathematical subjects in the distance form of training, but also controlling the rate and depth of students’ mastering the material. There are examples of laboratory works on Mathematical Analysis performed by students independently in the computer mathematics system CoCalc.
The article addresses the issue of implementing the usability principles of educational internet resources. The paper debates the latest researches on the question concerning the search for the factors that influence the results of online education. The analysis, which we carried out, allowed us to focus on such known six criteria of usability design as Information Quality, System Navigation, System Learnability, Visual Design, Instructional Assessment, and System Interactivity and suggest the existence of the seventh criterion named Responsiveness. The research considers the principles of usability implementation following the example of the open platform of online education "Higher School Mathematics Teacher". The answers given by 203 respondents during the survey allowed defining the direction of implementing the usability criteria on the platform. We were eager to know the opinion of teachers and students, who became the first users of the platform. The article discusses the criteria implementation while developing online courses on the platform. There was ground to conclude that when designing on-line platform courses, all seven usability subcategories are important.
The matter of building an optimal model of managing the online platform “Higher School Mathematics Teacher” is considered in this article. The existing researches on the management of online platform development and support process have been analyzed in this paper. The model developers described the process of building an online platform according to the Software Development Lifecycle rules. The researchers described an online course platform creation and functioning process that corresponds to a five-stage pedagogical ADDIE model (Analysis, Design, Development, Implementation, and Evaluation) of online course preparation. The research describes the roles and objectives of online platform team members. These results allowed the authors of the article to model the organizational structure of online platform management. The method of survey among the team members of the online platform “Higher School Mathematics Teacher” and its participants was used to prove the efficiency of the offered model. The results allowed us to confirm the actuality of the research in the management of educational platforms, the convenience of teamwork in online platform management, and successful model implementation.
Research goals: to determine the ways of differentiation of future mathematics teacher learning to complex analysis using CoCalc. Research objectives: to analyze the problem of differentiating learning in pedagogical universities, particularly in process of teaching the professional disciplines; to determine the place of complex analysis in mathematical disciplines of pedagogical universities; to investigate the impact of CoCalc on differentiation of future mathematics teachers learning to complex analysis. Object of research: learning to complex analysis of future mathematics teachers at pedagogical universities. Subject of research: differentiation of student learning to complex analysis. Research methods used: analysis of scientific publications, observations, interviews with teachers. Results of the research. Based on the analysis of scientific works and interviews with teachers established that the problem of differentiating learning is very relevant during teaching of mathematical disciplines. Defined the place of complex analysis in mathematical disciplines. It’s shown that differentiated instruction is intended to include differentiated tasks in the learning. The specificity using CoCalc on “Complex function of complex variable” are described. The main conclusions and recommendations: 1) expedient use of differentiated tasks (which are distributed by different criteria) as a basic premise differentiation of education; 2) gradual complication of tasks with the gradual generalization of already learned material research and comprehension level.
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