DOI: 10.25136/2409-8736.2017.4.24624

Abstract: The object of this research is an important and relevant question of modern education – the realization of educational activity with application of the information and communication technologies. The subject is the assessment of the quality of math classes with application of the information and communication technologies. Special attention is given to the development of mechanism for creating the system of models considered as exemplary for the math class (content area, presentation style, etc.). The article describes (from various perspectives) the criteria for the system of exemplary models that allow assessing the quality of the content of math class. Methodology of the research is based on the modelling theory. The following conclusions were made: 1) the content of math class, developed with implementation of the formalized system of exemplary model, produces the more extensive pedagogical effect that the content selected by certain private methods; 2) the described system of exemplary models can be used not only as an apparatus for assessing the quality of the existing mathematical content, but also as instrument of projecting the new math disciplines; 3) the suggested approach can be applied to the assessment of quality not only of the mathematical educational content, but also other areas of education. Unlike the existing studies on the questions of application of the information and communication technologies in math education, the accent is made not on the quality of content solution, but rather the quality of the content of math classes. The proposed approach allows harmoniously combine the unification and diversification of presentation of the educational discipline, as well as ensure to the student a possibility of structuring of an individual educational trajectory.

DOI: 10.7256/2409-8736.2017.1.22616

Abstract: The subject of the study is a very important and urgent issue of modern education - the training of competent professionals who are able to make weighted management decisions in various fields of activity.The subject of the study is the role and significance of mathematical culture in enhancing the professional competence of students in economic and related areas of training.Particular attention is paid to the study of the connection between mathematical culture and professional competence. The modern state of mathematical education is described, the relation of mathematics and computer science is analyzed, the use of information and computer technologies in mathematical education is analyzed.The methodology of the study is based on the theory of modeling, based on the formal-constructive interpretation of the model. Methods of research: analysis of own pedagogical practice of mathematical education, analysis and synthesis of advanced Russian and foreign research, modeling.The main findings of the study are:1. The mathematical culture of the graduate and specialist remains one of the key components of the culture of modern society.2. The professional competence of the graduate and specialist includes a cultural component, of which the mathematical culture is an integral part.3. A specially organized mathematical education at the economic university allows successfully to solve the problem of increasing the professional competence of the graduate.The novelty of the research is that at the basis of this special organization is the model of mathematical culture as an infrastructure for the perception and processing of information and the exchange of information consisting of a system of phenomena, a system of relations, a system of interfaces and a management system.