Mathematical modeling of self-organization of physical training in university educational environment

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PhD, Professor A.V. Karavan1
Dr. Hab., Professor R.M. Kadyrov1
1Saint Petersburg State University of Architecture and Civil Engineering, Saint Petersburg

Objective of the study was to develop a mathematical model of self-organization of physical training based on the factorial experiment in a university educational environment.
Methods and structure of the study. The algorithm of student training in the physical training self-organization skills includes: imaginary construction of the training fragments aimed to preserve physical health; determination of the load control mechanism; identification of the training criterion.
Results and conclusions. Self-organization of physical training starts from drawing up a training plan. The factorial experiment 2k was conducted in the process of training of the examined students. Both dispersion and multiple regression analyses were used to process the data obtained during the factorial experiment. In the course of the study, we constructed a regression equation expressing the dependence of the distance covered on the running speed and duration:
Ŷ = 557 + 148,5X1 + 81,5X2 + 13,5X1X2
It follows from the equation that the distance covered (Ŷ) largely depends on the running speed X1. Its increase from zero to top increases the distance by 148.5 units, while the increase of the run time (X2) from zero to top increases the distance by 81.5 units. Thus, we obtained a model y=f(X1, X2) for the true variables X1 and X2.
Proceeding from the findings, the authors conclude that such training fragments teach students to reflect their physical state level from the load amount and intensity.

Keywords: self-organization, skills, training.

References

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