Abstract
The study objective is to substantiate the modes of alternation of physical exercises and rest intervals in the process of teaching series of tasks aimed at motor skills development in boys aged 14 years. 
 Materials and methods. The participants in the study were 40 boys aged 14. The children and their parents were fully informed about all the features of the study and gave their consent to participate in the experiment. To achieve the objective set, the following research methods were used: study and analysis of scientific and methodological literature; pedagogical observation, timing of training tasks; pedagogical experiment, methods of mathematical statistics, methods of mathematical experiment planning.
 Results. The results of the analysis of variance and regression models show that the optimal mode of performing series of training tasks is within the range of 6-12 exercise repetitions with rest intervals of 60-120 seconds. In the proposed matrix of factorial design, the selected step of factor variation is sufficient to study the impact of different modes of physical exercises on the effectiveness of teaching children and adolescents. 
 Conclusions. A 22 type experiment made it possible to examine the multifactorial structure of the process of teaching boys aged 14, using the program of algorithmic instructions, to specify the optimal balance between factors for their use when teaching physical exercises during physical education classes.
 The best options for teaching series of tasks to boys aged 14 during physical education classes are: series 1 — 12 repetitions, rest interval of 120 s; series 2 — 12 repetitions, rest interval of 60 s; series 3 — 6 repetitions, rest interval of 60 s; series 4 — 12 repetitions, rest interval of 60 s; series 5 — 12 repetitions, rest interval of 120 s; series 6 — 6 repetitions, rest interval of 60 s.
Highlights
The results of the analysis of variance and regression models show that the optimal mode of performing series of training tasks is within the range of 6-12 exercise repetitions with rest intervals of 60-120 seconds
A 22 type experiment made it possible to examine the multifactorial structure of the process of teaching boys aged 14, using the program of algorithmic instructions, to specify the optimal balance between factors for their use when teaching physical exercises during physical education classes
Regression analysis performed on the basis of a full 2k type factorial experiment data is an effective method for defining optimal modes of alternation of physical exercises and rest intervals during physical education classes (Ivashchenko, 2016)
Summary
Current studies focus on discovering regularities of motor skills development in children and adolescents (Wright, 1999; Khudolii & Ivashchenko, 2014; Ivashchenko, 2016) as a basis for professional excellence of physical education teachers (Rink, Jones, Kirby, Mitchell and Doutis, 2007).The research papers by Chernenko (2015), Ivashchenko, Iermakov, Khudolii, Yermakova, Cieślicka and Harkusha (2018), Ivashchenko (2017) ascertained that the effectiveness of motor skills development is influenced by the modes of alternation of exercise repetitions and rest intervals. Regression analysis performed on the basis of a full 2k type factorial experiment data is an effective method for defining optimal modes of alternation of physical exercises and rest intervals during physical education classes (Ivashchenko, 2016). In their papers, Khudolii & Ivashchenko (2014), Lopatiev, Ivashchenko, Khudolii, Pjanylo, Chernenko and Yermakova (2017) substantiated the concept of pedagogical experiment in studying the process of building motor skills and developing learning models. The papers by Acher, Arca and Sanmarti (2007), Chatzipanteli, Digelidis, Karatzoglidis and Dean (2016) point to the importance of modeling in ТМФВ, 2019, том 19, No 3
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