- Корольський, В.В. and Шокалюк, С.В.
(2017)
*Mathematical modeling of multivariable tasks system to the theme «Integration of rational functions»*
Наукові записки. Серія: Проблеми методики фізико-математичної і технологічної освіти, 3 (11).
pp. 20-25.
ISSN 2519-254X

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## Abstract

The level of formation and development of mathematical competence of graduates of secondary schools and students of the first courses of natural and mathematical disciplines nyzhchaye from year to year. Math teacher explaining the discrepancy between this fact and the content requirements for school mathematics study results the number of classes per week - students do not have time for thorough assimilation of theoretical knowledge and forming skills of automated application. Teachers and faculty-Methodists see partial solution to the problem in the construction and use of a multiple practical problems for the formation and development of certain mathematical competencies of students (students) in a training mode in class and after school. Designing such a system task involves building a mathematical model of the condition or problem solution and «manual» or automatic generation of a set of tasks by providing parameters built models of different values. The article describes all the stages of construction of models of solutions to the problem of calculating indefinite integral of a rational function of some kind. Models built considering all possible combinations of input data (parameters mathematical model conditions of the problem of finding an indefinite integral of a rational function). The results of analytical modeling checked through symbolic payments in the environment of computer mathematics SageMathCloud. Output mathematical problem (indefinite integrals of rational functions specific form, function parameters) and simulation results (mathematical model solutions) presented in a summary table (see. Table 1). Data compiled table will be useful mathematics teacher at «manual» generating a multiple computing tasks on indefinite integrals of rational functions or facilitate the creation and implementation of automated software generator model parameters providing solutions to different values. Clearly, the multivariate modeling of problems with school and courses of Mathematics followed by the implementation of program generator will allow to reduce time teacher preparation and verification of independent (control) works to carry out systematic monitoring of progress. In these publications, the authors highlight the results planned development of automated generators objectives and results of their implementation in the educational process.

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