mathematical experiment planning
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2020 ◽  
Vol 1 (1) ◽  
pp. 33-39 ◽  
Author(s):  
Svitlana Marchenko ◽  
Kateryna Kovalenko

The objective of the study was to substantiate the influence of selected factors on the effectiveness of teaching a series of tasks aimed at motor skills development in boys aged 10. Materials and methods. The study involved 32 boys aged 10. The children and their parents were 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 learning tasks; pedagogical experiment, methods of mathematical statistics, methods of mathematical experiment planning. During training, a method of algorithmic instructions was used. Results. Regression dependence is observed throughout the entire period of performing the series of learning tasks. The constructed mathematical models adequately describe the obtained data. The calculated regression coefficients are statistically significant (Fр < Fkр). Throughout the experiment, the factor X1 “number of sets” had a constant positive effect on the target feature (Y). The percentage contribution in the first series of learning tasks was 87.8%, in the second – 32.3%, in the third – 55.1%, in the fourth – 77.2%, in the fifth – 68.9%, in the sixth – 54.03%. The factor X2 “rest interval” had a negative effect starting from the second series – 67.3%, the third – 40.4%, the fourth – 19.3%, the fifth – 30.6%, the sixth – 45.05%. The effect of first-order interaction (X1X2) was not observed during all the series of learning tasks. Conclusions. The optimal modes of performing the series of tasks for teaching boys aged 10 the Mae-geri (front kick) in Kyokushin karate are the following: series 1 – 3 sets, rest interval 60-120 s; series 2 – 1-3 sets, rest interval 60 s; series 3 – 3 sets, rest interval 60 s; series 4 – 3 sets, rest interval 60–120 s; series 5 – 3 sets, rest interval 60 s; series 6 – 3 sets, rest interval 60 s.


2020 ◽  
Vol 20 (1) ◽  
pp. 42-48 ◽  
Author(s):  
Oleg Khudolii ◽  
Olena Kapkan ◽  
Sergii Harkusha ◽  
Svitlana Marchenko ◽  
Viktoriia Veremeenko

The study objective was to substantiate the modes of alternation of physical exercises and rest intervals when teaching series of tasks aimed at motor skills development in boys aged 15 years. Materials and methods. The participants in the study were 40 boys aged 15. 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. During training, the method of algorithmic instructions was used. Results. The study found that the effectiveness of mastering series of training tasks depends on a mode of alternation of exercises and rest intervals. The results of 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 sesonds. 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. The best options for teaching series of tasks to boys aged 15 during physical education classes are the following: series 1 – 12 repetitions, rest interval of 60–120 s; series 2 – 12 repetitions, rest interval of 120 s; series 3 – 12 repetitions, rest interval of 120 s; series 4 – 12 repetitions, rest interval of 120 s; series 5 – 12 repetitions, rest interval of 60 s; series 6 – 12 repetitions, rest interval of 60 s.


2019 ◽  
Vol 19 (2) ◽  
pp. 98-104 ◽  
Author(s):  
O. M. Khudolii ◽  
O. V. Ivashchenko ◽  
S. S. Iermakov ◽  
Yu. M. Nosko ◽  
S. I. Marchenko

The study purpose was to experimentally substantiate technological approaches to estimating training effects of strength loads in girls aged 7 years. Materials and methods. The study participants were girls aged 7 years (n = 40). 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 solve the tasks set, theoretical and empirical methods were used: analysis and generalization of scientific and methodological literature; modeling, pedagogical observation and experiment, methods of mathematical experiment planning (2k type FFE). Results. The study results show that in the proposed matrix of the 22 type full factorial experiment design, the chosen step of variation of factors is sufficient to study the influence of different modes of strength exercises on the dynamics of ITE in girls aged 7 years. Conclusions. At station 1 (exercises to strengthen arms and shoulders), the ITE in girls aged 7 is most influenced by the interaction between the number of repetitions in a set and the rest interval (x1x2) – 83%, the number of repetitions in a set (x1) – 15%; at station 2 (exercises to strengthen abdominal muscles), it is most influenced by the number of repetitions in a set (x1) – 48.5%, the rest interval (х2) – 48.5%; at station 3 (exercises to strengthen back muscles) – by the rest interval (x2) – 82%; at station 4 (exercises to strengthen leg muscles) – by the rest interval (x2) – 92%. At stations 1–3, to strengthen the ITE, it is necessary to increase the number of repetitions in a set and the duration of the rest interval, at station 4, it is necessary to increase the number of repetitions in a set and to reduce the duration of the rest interval.


2019 ◽  
pp. 87-93
Author(s):  
A. A. Kovel

The ground-experimental testing of the elements of space technology is a crucial stage in the creation of space products, in fact, this is the ground «flight» of the devices being created. And how well the operating conditions will be reproduced at this stage and the successful functioning of the devices under the expected conditions is ensured, its successful operation in real flight during the service life depends. Electronic equipment (apparatus) of the spacecraft is one of the essential elements that ensure the fulfillment of target tasks, which should confirm their readiness for the forthcoming work at the stage of ground-based experimental testing. The technology of experimental development at a time when the scientific and production association of applied mechanics (now the JSC Academician M. F. Reshetnev Information Satellite Systems) was part of the circle of enterprises that created space technology. And at the same time, the peak of research and implementation in the engineering practice of mathematical experiment planning turned out to be very timely. There was a backlog of applied work in various branches of science and technology and a minimum of work on radio-electronic topics, since the element base of the latter did not allow managing the internal parameters of electronic components, i. e., to reveal the influence of internal factors. This became an obstacle to the implementation of the capabilities of the method in research and improvement of electronic equipment. The article shows how the developers of the enterprise equipment overcame the existing limitations and successfully applied mathematical planning of the experiment for the first time in Russian space technology. Using the capabilities of the methodology, the tasks of optimization of circuit design and design implementation of devices, the choice of the element base for space equipment, the establishment of tolerances and the formation of test modes, etc. were solved.


2017 ◽  
Vol 17 (2) ◽  
pp. 98-104 ◽  
Author(s):  
S. Marchenko

The objective is to optimize the mode of using game for dexterity development in the 2nd-4th-grade boys.Materials & methods: to conduct the experiment, there were eight test groups (n=48) formed in each class. The total number of such test groups was 24. The research relied on the following methods: theoretical analysis and collation of scientific and methodological literature; pedagogical testing; methods of mathematical experiment planning (complete factorial experiment 23); modeling method.Results: the research has determined that to develop dexterity, the 2nd-4th-grade boys need to participate in up to five games. The number of repetitions for the 2nd-3rd-graders is two, and for the 4th-graders – three, with 30–40-second rest intervals. The 2nd-4th-grade boys showed effective development during 40 classes, and the 3rd-grade boys – during 20 classes. After that, we recommend to use other means. The game duration varies from one to two minutes.Conclusions: the analysis of the scientific and methodological literature has revealed that the level of motor readiness, dexterity being one of its main components, largely determines the state of children’s physical and mental health. The research has found that the natural development of coordination abilities in boys aged between 7 and 10 is 22.5–80.0% (56.2% on average). Game actions play a particular role in dexterity development in junior schoolers.The 23 complete factorial experiment made it possible to study the multi-factorial structure of game load for the 2nd-4th-graders; to specify the relations between factors for their use during dexterity development in the 2nd-4th-grade boys in physical education classes. They can serve as an objective tool for the educational process optimization. The given regression equations are models that can be used to determine the optimal game means ratio in the academic process of the 2nd-4th-graders. 


Author(s):  
Ханин ◽  
Sergey Khanin ◽  
Трофимченко ◽  
Vladimir Trofimchenko ◽  
Мордовская ◽  
...  

Production of powder materials is accompanied by the formation of aggregates of particles, which complicates the process of their separation. For example coarse-grained marl with high resolution scanning electronic microscope and laser particle size analyzer studies performed that allowed to establish the size of the particles aggregating, volume distribution, their shape and nature of contacts between particles. In the experimental setup of the circulation separator disaggregated device in the form of multiple-bands, using the method of mathematical experiment planning central composite orthogonal plan 24 studied the effects on particle disaggregation of factors studied. The regions of their rational values have been defined.


Author(s):  
О. В. Іващенко ◽  
О. М. Худолій ◽  
А. А. Тітаренко ◽  
В. С. Скорняков

Research objective. To experimentally ground the technological approaches to evaluation of the training effects of primary school girls’ power loads. Materials and methods. To achieve the tasks outlined, the research relied on the following methods: analysis of scientific and methodological literature, pedagogical testing, modeling, pedagogical observations and experiment, methods of mathematical experiment planning (complete factorial experiment, 2k type), discriminant analysis. The participants in the study were 32 second-grade girls. Research results. The training pattern effects the dynamics in the test results for the second-grade girls. The test results can improve provided that the power load brings about significant changes after the training at each spot, after the lesson (immediate training effect), and twenty four hours after the power load (delayed training effect). The higher the dynamics is for the immediate and delayed training effects, the more significant are the improved results of the power tests observed after as few as three lessons. Conclusions. The discriminant function can be used to classify the training effects of the second-grade girls’ power loads. The first canonical function explains the results variation by 96,2%. This suggests that it is highly informative. The centroid coordinates for five groups allow to interpret the canonical functions according to their role in differentiating the grades by the training effects of the power loads of the primary school girls. The positive pole of the first function has the condition centroids at the beginning of the power loads, after three, six, nine and twelve lessons; the negative pole has the centroids of the training effects after the power loads, after the lesson, after 24 hours. Thus, the reaction to the power load has immediate, delayed and cumulative training effects. The biggest cumulative training effect is after twelve lessons (3.045).


2016 ◽  
Vol 11 (1) ◽  
pp. 82-86
Author(s):  
Абдрахманов ◽  
Rinat Abdrakhmanov ◽  
Гильфанов ◽  
Rashid Gilfanov ◽  
Калимуллин ◽  
...  

The article provides the results of experimental studies on substantiation and assessment of the kinematic mode impact of rotary haulm chopper to the complete destruction of Colorado potato beetle. A technique of mathematical experiment planning theory was used in the experiments. The software in VBA in MS Excel, developed by the authors, was applied for experimental results processing. By constructing a mathematical model, the problem of optimization was solved, and the regime parameters values of haulm chopper was determined, which ensure the maximum percentage of destruction of the Colorado potato beetle.


2015 ◽  
Vol 0 (8) ◽  
pp. 273
Author(s):  
Sergey Evgen’evich Tinyakov ◽  
Iana Pavlovna Borisova ◽  
Anatoly Arhipovich Kovel ◽  
Vladimir Olegovich Andreev ◽  
Anna Aleksandrovna Semenova ◽  
...  

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