SIMULATION OF PROCESS OF 14-15 YEARS OLD GIRLS’ TRAINING OF LIGHT ATHLETIC AND GYMNASTIC EXERCISES

Purpose: to optimize physical exercises’ training regiment in educational process of 14-15 years old girls. Material: in experiment girls of 14 years’ age (n=24) and 15 years’ (n=24) participated. The plan of factorial experiment was used. Results: we have shown influence of quantity of exercises’ repetitions (Х1) and rest intervals (Х2) on effectiveness of physical exercises’ training. We have offered complex approach to studying of objects, which admits simultaneous varying of several factors for assessment of their interactions’ influence. Simultaneous varying of factors by special program ensured studying of each of them in different conditions. It permitted to receive more reliable conclusions, suitable for changeable conditions. Conclusions: it was established that increase of training process’s effectiveness is possible on the base of analysis of regressive models, calculation of optimal modes of physical exercises’ fulfillment in process of their mastering at school physical culture lessons.

The methods and organization of the research: in our work we used analysis and generalization of scientificmethodic literature, Internet resource, pedagogic testing; methods of mathematical planning of experiment (FFE 2 2 ), pedagogic experiment, method of simulation.
In the process of tasks' formulation we used conceptual approaches to planning of experiment.It concerned studying of training process's effectiveness and working out of training models [7,11,12,16,18].It was determined that increase of effectiveness of control over training process is possible if for calculation of training models regressive models, received as a result of full factorial experiment (FFE) of FFE 2 к type are used.
In the research we used plans of factorial experiment of FFE 2 2 type (see table 1).We studied motor modes of training of side roll, forward and back rolls, forced headstand, throwing of small ball and long jump from run.
Table 1 Matrix of factorial experiment 2 2

Х1 Х2
general quantity of attempts).Besides, we analyzed level of physical exercises' mastering.
In training of 14-15 years' age girls the method of algorithmic orders was applied.Transition to next exercise was realized after three successful attempts.
In experiment 24 -14 years' old girls and 24 -15 years' age participated.Plan of factorial experiment permitted to study influence of quantity of repetitions (Х1) and rest intervals (Х2) on effectiveness of physical exercises' training of 14-15 years' age girls as well as to use complex approach to studying of objects, which admits simultaneous varying of several factors for assessment of them and their interactions' influence.Simultaneous varying of factors, conducted by special program, ensured studying of every of them in different conditions.It permitted to obtain more reliable results, suitable for changeable conditions.
Results of the research For achievement the best pedagogic effect in girls' training of physical exercises we determined optimal correlations of quantity of exercises' repetitions (X1) and rest intervals (Х2).In table 1 we present matrix of full factorial experiment's plan for studying of influence of different physical exercises fulfillment modes on effectiveness of training.Bottom and top factors were chosen on the base of data of O.M. Khudolii and O.V. Ivashchenko [16]: so, we considered frames of lesson and requirements of Governmental program.Distinctions in methodic of trainings' conduct were outlined by conditions of factorial experiment.
As a result we found out regressive dependence of results of quantity of repetitions' (Х1) and rest intervals' (Х2) influence on training process in compliance with age and gender peculiarities of the trained girls (see table 2).
Table The process of pupils' training of physical exercises is influenced by every factor in different way.Thus, in respect to 14 years' old girls effectiveness of trainings is influenced by quantity of repetitions in lesson.Increase of these repetitions up to 12 influences negatively.Interaction of quantity of repetitions and rest intervals also influences on effectiveness of training process.Mastering level increases with increasing of quantity of repetitions up to 12 times and rest intervalup to 120 sec.(forced headstand and throwing of small ball).

Regressive dependence of results in 14-15 years' old girls' training on quantity of repetitions (Х1) and rest intervals (Х2)
In training of "Side roll" by 15 years' old girls negative influence was rendered by first factor (Х1) and by second factor (Х2).In second exercise "Forward roll" factor (Х1) influences negatively.In third exercise "Backward roll" first factor (Х1) and second factor (Х2) influence negatively.In forth exercise "Forced headstand" negative influence was rendered by first factor (Х1) and by second factor (Х2).In fifth exercise "Throw of small ball for distance" first factors (Х1) influences negatively.In sixth exercise "Long jump from the spot" second factor (Х2) influences negatively and interaction of both factors (Х1Х2) influence positively.
Thus, in respect to 15  Long jump from run 0 26 73

Fig.2. Graphic representation of mean squares' relations (%).15 years old girls: line 1 -Х1 (quantity of repetitions), line 2 -Х2 (rest interval), line 3 -Х1Х2 (interaction of quantity of repetitions and rest intervals)
1-Side roll, 2-Forward roll, 3-Backward roll, 4-Forced headstand, 5-Throw of small ball, 6-Long jump from run In percentage the highest influence is rendered by first factor and the leastby second.For example, in respect to 14 years' girls in "Side roll" -42% of quantity of repetitions and 54% of interaction of quantity of repetitions and rest intervals.In second exercise "Forward roll" influence was the following: 73% -quantity of repetitions and 26% -rest intervals.In forth exercise "Forced headstand" influence was the following: 77% -interaction of rest intervals and quantity of repetitions.In fifth exercise "Throw of small ball for distance" influence was the following: 94% -interaction of rest intervals and quantity of repetitions.In sixth exercise "Long jump from the spot" influence was: 69% -quantity of repetitions and 20% -interaction of rest intervals and quantity of repetitions.
In respect to 15 years' girls in "Side roll" -23% of quantity of repetitions and 71% of quantity of repetitions and rest intervals' interaction.In second exercise "Forward roll" influence was the following: 33% -quantity of repetitions and 61% -rest intervals.In third exercise "Back roll" 69% -quantity of repetitions and 28% -rest intervals.In forth exercise "Forced headstand" influence was the following: 66% -quantity of repetitions and 27% -rest intervals.In fifth exercise "Throw of small ball for distance" influence was the following: 85% -rest intervals and 11% -quantity of repetitions.In sixth exercise "Long jump from the spot" influence was: 73% -interaction of rest intervals and quantity of repetitions and 26% -rest intervals.
Results of dispersion analysis witness that for 14-15 years' old girls the most optimal modes are 6-12 repetitions of exercise and rest intervals 60 -120 sec.In training of 14 years' old girls attention should be paid to quantity of repetitions in one lesson; for 15 years' old girls attention should be paid to increasing of rest interval (see table 4).These results expand and supplement the data of O.M. Khudolii та O.V. Ivashchenko [12,16] about effectiveness of factorial experiment plans' application in studying of training process's effectiveness and development of children's and adolescents' motor skills.In opinion of García-Moya, I., Moreno, C., & Jiménez-Iglesias [19], A. Wang, A., Karns, J. T., & Meredith, W., García-Moya [36] usage of factorial experiments' plans in researches, involving children and adolescents, facilitate increase of quality of their progress assessment.Validity of full factorial experiment of 2 k type usage is proved by data of et.al.[20,21].

Table 4
Comparative characteristic of studied factors' influence on effectiveness of 14-15 years' old girls' trainingResults of the research witness that in the offered matrix of factorial experiment's plan the method of factors' varying is sufficient for studying of influence of different modes of physical exercises' training by children and adolescents (see table1).