ONE OF THE WAYS OF PROCESSING AND ANALYSIS OF RESULTS OF THE PEDAGOGICAL EXPERIMENT

Provide statistical processing and analysis of results of pedagogical experiment on introduction of innovative methods based on the matrix model of cognitive activity carried out in Samara state University of railway engineering teachers of the Department "Higher mathematics". To confirm t...

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Main Authors: Elena N. Ryabinova, Yulia V. Gumennikova, Ruzilya N. Chernitsina
Format: Article
Language:English
Published: Samara State Technical University 2015-10-01
Series:Вестник Самарского государственного технического университета. Серия: Психолого-педагогические науки
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Online Access:https://vestnik-pp.samgtu.ru/1991-8569/article/viewFile/52185/35638
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author Elena N. Ryabinova
Yulia V. Gumennikova
Ruzilya N. Chernitsina
author_facet Elena N. Ryabinova
Yulia V. Gumennikova
Ruzilya N. Chernitsina
author_sort Elena N. Ryabinova
collection DOAJ
description Provide statistical processing and analysis of results of pedagogical experiment on introduction of innovative methods based on the matrix model of cognitive activity carried out in Samara state University of railway engineering teachers of the Department "Higher mathematics". To confirm the effectiveness of the proposed method investigates four stochastic variables that characterize the coefficient of mastering of educational material by the individual student resulting from two control tests in experimental and control groups. As the result of an experiment, data is a set of numbers, which are difficult to capture any pattern of change (variation), they are subjected to statistical processing. Built for this interval variational series; the calculated basic numerical characteristics: sample average (arithmetic average value of the attribute of the sample), sample variance (average of squared deviations of observed values from their average values) and sample standard deviation (square root of sample variance). Determined the observed value of goodness-of-fit Pearson that allows you to install, after comparing them with critical values that all of the investigated random variable subject to normal distribution law. Built line of empirical densities of the results obtained in control and experimental groups after the first and after the second test, allowing, to estimate dynamics of process of mastering of educational material. The calculated coefficients of variation characterizing the dispersion of the variational series. Thus it is shown that in the experimental group by the end of training not only increased the average (10% compared with the control group), but decreased the dispersion of results about the mean (16,55 to 13,67 %), which undoubtedly confirms the effectiveness of the proposed method.
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series Вестник Самарского государственного технического университета. Серия: Психолого-педагогические науки
spelling doaj-art-bfdbb733649b44cfa16d4830f97f68542025-01-13T05:02:04ZengSamara State Technical UniversityВестник Самарского государственного технического университета. Серия: Психолого-педагогические науки1991-85692712-892X2015-10-0112321822647546ONE OF THE WAYS OF PROCESSING AND ANALYSIS OF RESULTS OF THE PEDAGOGICAL EXPERIMENTElena N. Ryabinova0Yulia V. Gumennikova1Ruzilya N. Chernitsina2Samara State Technical UniversitySamara State University of RailwaysSamara State University of RailwaysProvide statistical processing and analysis of results of pedagogical experiment on introduction of innovative methods based on the matrix model of cognitive activity carried out in Samara state University of railway engineering teachers of the Department "Higher mathematics". To confirm the effectiveness of the proposed method investigates four stochastic variables that characterize the coefficient of mastering of educational material by the individual student resulting from two control tests in experimental and control groups. As the result of an experiment, data is a set of numbers, which are difficult to capture any pattern of change (variation), they are subjected to statistical processing. Built for this interval variational series; the calculated basic numerical characteristics: sample average (arithmetic average value of the attribute of the sample), sample variance (average of squared deviations of observed values from their average values) and sample standard deviation (square root of sample variance). Determined the observed value of goodness-of-fit Pearson that allows you to install, after comparing them with critical values that all of the investigated random variable subject to normal distribution law. Built line of empirical densities of the results obtained in control and experimental groups after the first and after the second test, allowing, to estimate dynamics of process of mastering of educational material. The calculated coefficients of variation characterizing the dispersion of the variational series. Thus it is shown that in the experimental group by the end of training not only increased the average (10% compared with the control group), but decreased the dispersion of results about the mean (16,55 to 13,67 %), which undoubtedly confirms the effectiveness of the proposed method.https://vestnik-pp.samgtu.ru/1991-8569/article/viewFile/52185/35638pedagogical experimentself-educational activitythe coefficient of mastering of educational informationrandom variablesample averagesample variancesample standard deviationgoodness-of-fitempirical density functionthe coefficient of variation
spellingShingle Elena N. Ryabinova
Yulia V. Gumennikova
Ruzilya N. Chernitsina
ONE OF THE WAYS OF PROCESSING AND ANALYSIS OF RESULTS OF THE PEDAGOGICAL EXPERIMENT
Вестник Самарского государственного технического университета. Серия: Психолого-педагогические науки
pedagogical experiment
self-educational activity
the coefficient of mastering of educational information
random variable
sample average
sample variance
sample standard deviation
goodness-of-fit
empirical density function
the coefficient of variation
title ONE OF THE WAYS OF PROCESSING AND ANALYSIS OF RESULTS OF THE PEDAGOGICAL EXPERIMENT
title_full ONE OF THE WAYS OF PROCESSING AND ANALYSIS OF RESULTS OF THE PEDAGOGICAL EXPERIMENT
title_fullStr ONE OF THE WAYS OF PROCESSING AND ANALYSIS OF RESULTS OF THE PEDAGOGICAL EXPERIMENT
title_full_unstemmed ONE OF THE WAYS OF PROCESSING AND ANALYSIS OF RESULTS OF THE PEDAGOGICAL EXPERIMENT
title_short ONE OF THE WAYS OF PROCESSING AND ANALYSIS OF RESULTS OF THE PEDAGOGICAL EXPERIMENT
title_sort one of the ways of processing and analysis of results of the pedagogical experiment
topic pedagogical experiment
self-educational activity
the coefficient of mastering of educational information
random variable
sample average
sample variance
sample standard deviation
goodness-of-fit
empirical density function
the coefficient of variation
url https://vestnik-pp.samgtu.ru/1991-8569/article/viewFile/52185/35638
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AT ruzilyanchernitsina oneofthewaysofprocessingandanalysisofresultsofthepedagogicalexperiment