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A method for monitoring the results of academic performance of students in a mathematical discipline is considered. As part of the monitoring method, a mathematics testing system was developed, implemented on the basis of the Moodle distance learning system platform. A bank of questions was compiled, including more than 600 tasks in elementary Mathematics and more than 900 tasks in Further Mathematics, on the basis of which tests were created to check the progress of students. To analyze the results of intermediate testing in mathematics, the rank correlation coefficients of Spearman and Kendall were calculated. A comparison of the results of tests conducted in the classroom and remotely.

The paper considers the principles of parallelization at marshalling yards and determines their importance. There are presented the methods for direct decompositions of torsion-free Abelian groups of finite rank. There are applied the concepts of “conditionally linear graphs” depicting railway trains and their characteristics, including “quasi-length”, which characterizes the length of the corresponding “quasi-graph”. There has been formalized a graphical approach to the redistribution of railcars of incoming trains at a marshalling yard for the formation of outgoing trains. The corresponding algorithms have been developed.

Some results on almost completely decomposable groups with cyclic regulator quotient are discussed in the context of the general theory of almost completely decomposable Abelian groups., UDC 512.54 This paper is dedicated to Prof. Alfred L. Shmelkin on the occasion of his 75th birthday 1. Introduction The goal of this review is to highlight the special [...]

Digitalizing of social relations and new dominants of the younger generation entails a change in the requirements for mathematics teacher's professional activity. A modern teacher should not only have the fundamental knowledge concerning mathematics, but also to possess the modern Web-technologies as means and component of information and educational environment organizing and managing of functional literacy development of school students. The article deals with the components and techniques of mathematical literacy integration and information competence and procedures development in teaching mathematics on the basis of complex knowledge mastering in network educational community; the content and mechanisms for such integration, based on modern achievements in science adapting (fractal geometry, fuzzy sets and fuzzy logic, theory of coding and data encryption, etc.) to school mathematics is also revealed. Problems in solving of universal educational actions and mathematical literacy development of school students as a structural phenomenon of an innovative educational environment organizing for managing the school student's cognitive activity in the network educational community is consistently reflected. The cognitive and activity-based aspects of the introduction of Web-technologies and information environments in the integration of mathematical literacy and information competence as well as school student's cognitive activities are identified. [ABSTRACT FROM AUTHOR]