The purpose of this study was to find methodological approaches to the development of a research program in modeling the process of teaching physical exercises, motor abilities development and pedagogical control in schoolchildren’s physical education. Materials and methods. The total number of schoolchildren involved in the experiment was: 6-10 years old – 465 (240 boys and 225 girls); 11-13 years old – 430 schoolchildren (205 boys and 225 girls); 14-16 years old – 221 schoolchildren (122 boys and 99 girls). To achieve the purpose set, the following research methods were used: modeling, systems approach, methods of theoretical analysis and generalization; pedagogical testing, methods of recording the respiratory system state, observation and pedagogical experiment; methods of mathematical analysis (logistic and asymptotic functions); mathematical methods of planning multifactorial experiments. Factor, discriminant, and regression analyses were performed. Results. The research program of modeling schoolchildren’s physical education includes the development of factor, discriminant, and regression models to obtain new information for planning and managing the processes of teaching physical exercises, motor abilities development, and pedagogical control in schoolchildren’s physical education. Conclusions. Modeling is an effective tool for studying the regularities of motor training and for developing physical education programs for children and adolescents. In the program of modeling schoolchildren’s physical education, initial data, study object, research methods must meet the following conditions: parametrical description (formulation of tasks, consideration of physical components, analysis of coefficients); initial data (information potential, reliability, accuracy, quantity); methods (similarity, accuracy, implementation time, coincidence with control criteria).

Abstract. Purpose: to determine peculiarities of formation of junior schoolchildren's motor skills. Material: 172 pupils participated in the research. In every parallel of forms there were 48 pupils. Factorial experiment of 2 3 type was conducted. Results: it was determined that effectiveness of schoolchildren's training (1 st -2 nd forms -to forward roll; 3 rd -4 th forms to vault) is influenced positively on be the following: increasing of attempts up to 12 times, quantity of repetitions in one attempt -up to 3 times, interval of rest shall be within 60-180 sec. In training process Attention is accentuated on quantity of attempts. For each form specific methodic peculiarities of exercise's fulfillment were formulated. Conclusions: factorial experiment of 2 3 type permitted to study multi-factorial structure of training process of 1 st -4 th forms' schoolchildren and specify optimal correlations of quantity of attempts, quantity of repetitions in one attempt and rest interval.

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 purpose of this study was to determine the weight of motor skills in the structure of motor fitness of 7-year-old boys.  Materials and methods. The study participants were 38 7-year-old boys. The children and their parents were informed about all the features of the study and gave their consent to participate in the experiment. The research methods used in the study include analysis of scientific and methodological literature, pedagogical observations, testing of motor fitness, probabilistic approach to assessing the learning process, methods of mathematical statistics.  Results. The level of fitness of the 7-year-old boys is homogeneous by the development of “agility” and “movement coordination”, inhomogeneous – by the development of arm strength and vestibular stability. The 7-year-old boys’ motor fitness is determined by their physical development, the level of general physical fitness and the level of motor skills development. A graphic representation of a two-factor model of testing results shows that analysis identifies two sets of data with high correlation coefficients. The first set includes tests No. 2, 1, 4, and 5, which characterize physical development, agility and endurance; the second – the level of proficiency in exercises No. 14, 13, 12, and the result of test No. 7 “Mixed hang rope pull-ups”. Conclusions. Based on factor analysis, the study found that the level of proficiency in exercises determines the variation of testing results by 28.437%, and the development of motor skills is a priority in the educational process at primary school. The development of “agility” and “movement coordination” ensures the formation of motor skills, and the development of arm strength and vestibular stability is the reserve in training boys aged 7 which will make it possible to increase the effectiveness of the educational process.

Abstract. Increase of schoolchildren's motor fitness is connected with organization of pedagogic control at physical culture lessons. It was assumed that the basis for pedagogic control of 16-17 years' age girls' motor fitness was discriminant model. Purpose: to determine methodological approaches to pedagogic control of 16-17 years' age girls' motor fitness. Material: in the research 28 senior form girls (fourteen 16 years' age 14 girls of 17 years' age girls) participated. Materials of the research were processed in statistical analysis program-IBM SPSS 20. Results: in the process of discriminant analysis we created prognostic model for belonging to group. This model builds discriminant function in the form of linear combination of predicting variables, which ensures the best division of groups. Correlation coefficient between calculated values of discriminant function and indicators of belonging to group was r=0.843 and witnesses about high prognostic potential of first canonic function. Conclusions: 16 years' age girls have better speed-power fitness than 17 years' girls. It points at the fact that in 17 th years' age the reason of lagging behind 16 years' age girls is their insufficient motor activity. On the base of canonic coefficients of discriminant function it is possible to classify 16 and 17 years' age girls by level of their motor fitness, according to their age. It is of practical importance for working out effective programs of senior form girls' physical training. Discriminant model can be used for pedagogic control of 16 and 17 years' age girls' fitness.