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a course and results of skilled-experimental work

The purpose of skilled-experimental work - check of effectiveness of the developed set of didactic construction tools of the educational tasks, which use will provide functionally to influence level sformirovannosti personal results of schoolboys.

The purpose has defined problems of skilled-experimental work:

1. To analyse the maintenance of a material of school textbooks on the mathematician on presence in them of the educational tasks aimed at formation of personal results of training.

2. To organise training on the basis of the developed funds of the educational tasks functionally focused on achievement trained personal results, leaning on the set of the didactic means including developed in research:

- Didactic principles of construction of the educational tasks focused on achievement of personal results of training; a specific variety of the educational tasks directed on achievement of personal results of schoolboys;

- kriterialnye level characteristics sformirovannosti personal results of the schoolboys, growing out performance of the educational tasks focused on achievement of personal results of training.

3. To carry out diagnostics estimating effectiveness of use of set of didactic construction tools of educational tasks, personal results providing purposeful formation trained.

At carrying out of skilled-experimental work, we were based, on the assumption that our research will achieve the object under a following condition: if at carrying out of experimental training positive influence of the educational tasks generated by us focused on achievement of personal results trained experimental class is revealed. Hence, about productivity of the educational tasks focused on achievement of personal results of schoolboys, it is possible to speak, if positive dynamics of formation of personal results at schoolboys of an experimental class in comparison with pupils of a control class is observed.

For level definition sformirovannosti personal results we had been used following methods of diagnosing: questioning, supervision, interrogation, methods of statistical data processing.

Skilled-experimental work was spent in 2014-2015 uch.gg. On the basis of MBOU SOSH № 6 of Vladimir, in 2016-2017 and 2017-2018 uch.gg. On the basis of MBOU SOSH № 54 of Chelyabinsk and MOU Kitovsky SSH the Ivanovo area in two stages.

At the first stage (September - November, 2014 in MBOU SOSH № 6 of Vladimir, September 2016 in MBOU SOSH № 54 of Chelyabinsk and MOU Kitovsky SSH the Ivanovo area) have been spent an ascertaining stage of experiment. During this stage from the point of view of didactic researches concerning understanding of the educational task as means of achievement of personal results of pupils, the problem condition in student teaching was studied: were analyzed
Curriculums and the maintenance of textbooks on the mathematician from the point of view of an inclusiveness in them of tasks which promote systematic formation of personal results of pupils in training, also were visited lessons, talks with teachers were given.

At the second stage (December, 2014 - May, 2015 in MBOU SOSH № 6 of Vladimir, October 2016 - May 2018 in MBOU SOSH № 54 of Chelyabinsk and MOU Kitovsky SSH the Ivanovo area) was spent a forming (training) stage of experiment. The purpose of the given stage was the organisation of the training based on regular use of educational tasks, the personal results directed on achievement trained.

Besides it, we spent entrance and target diagnostics thanks to which we could estimate dynamics of personal results of schoolboys, and, to a consequence of that, and effectiveness of the developed set of didactic construction tools of the educational tasks focused on formation lichnostny of results of schoolboys.

At definition of control and experimental classes we were guided by results of entrance diagnostics of levels sformirovannosti personal results of schoolboys which are presented more low (see the table № 5).

Initial level sformirovannosti personal results and level obuchennosti schoolboys in control and experimental classes was approximately identical, to what results of starting diagnostics testify. Also, control and experimental classes were approximately identical on number of pupils, on a parity in them boys and girls, on progress level, by quantity of the hours which are taken away under the curriculum on studying mathematicians.

At carrying out of skilled-experimental work regular use of the educational tasks directed on achievement of personal results of training of schoolboys at each lesson, and election was meant
Kinds of educational tasks directly depended on the purposes and problems of a lesson, its form of carrying out.

So, for example, at studying of a new material in bolshej degrees were used tasks of a tsennostno-semantic orientation, valuable kollizijnosti. At lessons of fastening of the studied material more often others the tasks directed on inclusion of informative activity, in a context of ability to live of schoolboys and the task for necessity of social interaction of schoolboys with each other in the course of training were applied.

At the organisation of repetition and generalisation of a teaching material, the control of degree of mastering of the maintenance of a teaching material more than the others the tasks forming at schoolboys experience of a reflexion in informative activity and on development of the critical relation to the maintenance and the form of its presentation were used. Tasks, organizujushchie inclusion of schoolboys in the creative informative activity having kulturnoyosozidatelnyj character and tasks with absence of borders in search and a choice of ways of their performance were present practically at all lessons.

Diagnostics at initial and total stages of skilled-experimental work was carried out by following criteria:

1. Qualitative, fixing level increase sformirovannosti personal results on following indicators in the beginning and in the end opytnoyoeksperimentalnoj works:

- The characteristic of motives of the doctrine defining quality of their subject position in knowledge (on M.I.Lukjanovoj's diagnostics [93]). Within the limits of this technique the pupil had been offered the neoterminated offers and the offered variants of answers to them. Pupils were given to choose 3 variants of answers to exclude accident of elections and to receive objective results. Each variant of answers has certain quantity of points depending on it reflects what motive (educational motive, social motive, item motive, estimated motive, game motive, external motive). Points
Are summarised and under the estimated table total level of motivation of the doctrine (low, average or high) comes to light.

- Readiness for a reflexion and self-reflexion of a course and results of knowledge (on A.V.Karpova's diagnostics [90]). The technique represents a questionnaire. It is necessary for pupil to give answers to some statements of a questionnaire. In the form of answers opposite to question number the trained put the figure corresponding to a variant of their answer. Further calculation of points and transfer of test points in walls which testify to reflexion levels (low, average or high) is carried out.

- Degree of expressiveness of a tsennostno-semantic position in knowledge (on P.V.Stepanova's diagnostics and results of supervision [72]). Trained the list from 91 statements of concerning various spheres of their ability to live was offered. It is necessary for pupil to express the consent or disagreement with each of the resulted statements. Results are brought in the form of answers. For the analysis of the received data answers of the trained are distributed on 13 scales: to them there correspond 13 lines in the form filled with respondents for answers. We paid attention only to a scale Knowledge as value.

We considered a scale reflecting character of relations of the pupil to knowledge. Generalisation of the received data allows to carry out percentage distribution of answers trained on four levels: steadily positive relation (high level), the situationally-positive relation and situationally-uncooperative altitude (average level), is steady an uncooperative altitude (low level).

For definition of degree of expressiveness of a tsennostno-semantic position in knowledge we also used pedagogical supervision over schoolboys in the course of performance of tasks.

In this case we paid attention all spectrum of values, but only to values priority for process of inclusion of schoolboys in informative activity (true/knowledge as value).

Supervision was carried out under the following program:

- Quality of self-determination in a situation of collision with difficulties and occurrences of possible errors and failures. In case of an error or failure the pupil:

- Cannot lay down for itself the new aims and solve them independently (low level);

- Tries to put before itself the new purposes and problems and successfully solves them, but it is possible to make it only by means of the teacher (average level);

- Does not despair, and estimates a situation and, proceeding from new conditions, puts before itself the new purposes and problems and successfully solves them, not addressing to the help from the outside (high level);

- Degree of expressiveness of ability to generate the position and to give reason for it;

- Cannot result arguments in acknowledgement or in a refutation something (low level);

- Can prove, prove something, resulting arguments, by means of leading questions the teacher (average level);

- The pupil confidently furnishes proofs (high level);

- Quality of emotional displays of pupils at task performance:

- Negative emotions - irritation, affliction, etc. (low level)

- Neutral emotions - indifference, the neutral relation (average level);

- Positive emotions - pleasure, interest (high level).

2. A quantitative, fixing indicator of progress (by V.P.Simonov's technique [68]). The quantitative criterion characterises progress of schoolboys which is shown in level of mastering of the subject program.

Our choice of this criterion is caused by that educational achievements of the child are caused by its personal development. Being able to put the purpose to select ways of achievement of result, communicative skills etc. - conditions to successful development of the maintenance of any working program in curriculum subjects.

As indicator for an estimation of this criterion positive dynamics obuchennosti schoolboys which finds reflexion in increase of their progress acts.

Data gathering on this indicator was carried out by V.P.Simonov's technique which allows to reveal actual degree obuchennosti trained (level of really acquired knowledge, skills).

obuchennosti pupils on the mathematician (SOU) we counted an average level under the formula:

Where ∏ι, n2, n3, ∏4 - number of the pupils who have received marks 5, 4, 3, 2 accordingly; ∑ Ni - total of pupils in a class.

Let's result results quantitative and quality standard of dynamics of personal results of schoolboys during training experiment. We used the given indicators in each experimental and control class twice: in the beginning of training experiment and at its closing stage. Results quantitative and quality standard of dynamics of personal results of schoolboys on experimental and control classes at three schools are resulted in table 7 and in table 8.

Data on indicators of levels sformirovannosti personal results in control and experimental classes at the initial stage of experimental training

Criteria and indicators MBOU SOSH №6 of Vladimir MBOU SOSH №54 of Chelyabinsk MOU Kitovsky SSH the Ivanovo area
Control class (kol-in

The person)

eksperimental nyj a class (kol - in the person) Control class (kol-in

The person)

eksperimental nyj a class (kol - in the person) Control class (kol-in

The person)

eksperimental nyj a class (kol - in the person)
The qualitative N WITH IN N WITH IN N WITH IN N WITH IN N WITH IN N WITH IN
1. The characteristic of motives of the doctrine defining quality of a subject position of pupils in knowledge 8 13 6 8 14 6 13 11 6 11 12 7 10 11 4 9 12 4
2. Readiness for a reflexion and a self-reflexion of a course and results of knowledge 11 12 4 10 12 6 10 15 5 12 13 5 9 11 5 10 10 5
3. Degree of expressiveness of a tsennostno-semantic position in knowledge 9 13 5 11 12 4 10 16 4 10 15 5 13 9 3 12 10 3
The quantitative
Progress 9 13 5 8 15 5 14 12 4 9 13 8 7 13 5 7 12 6

Data on indicators of levels sformirovannosti personal results in control and experimental classes at a total stage of experimental training

Criteria and indicators MBOU SOSH №6 of Vladimir MBOU SOSH №54 of Chelyabinsk MOU Kitovsky SSH the Ivanovo area
Control class (kol-in the person) eksperimental Control class (kol-in the person) eksperimental Control class (kol-in the person) eksperimental
nyj to

(Kol-in the person)

lass nyj to

(Kol-in the person)

lass nyj a class in the person (kolyo)
The qualitative N WITH IN N WITH IN N WITH IN N WITH IN N WITH IN N WITH IN
1. The characteristic of motives of the doctrine defining quality of a subject position of pupils in knowledge 7 14 6 4 17 7 14 10 6 5 15 9 10 11 4 5 13 7
2. Readiness for a reflexion and a self-reflexion of a course and results of knowledge 7 15 5 5 16 7 8 16 6 6 17 6 9 12 4 6 12 7
3. Degree of expressiveness of a tsennostno-semantic position in knowledge 10 13 4 5 17 6 9 17 4 4 18 8 12 10 3 8 12 5
The quantitative
Progress 9 13 5 5 17 6 14 12 4 5 16 9 8 12 5 4 12 9

Apparently from the resulted data, at the initial stage of training experiment in a control class at 30 % of pupils of 5 classes in MBOU SOSH № 6 Vladimir characteristics of motives of the doctrine defining quality of a subject position of pupils in knowledge were on a low level, readiness for a reflexion and a self-reflexion of a course and results of knowledge on a low level made at 33 % of schoolboys, degree of expressiveness of a tsennostno-semantic position in knowledge has been on a low level fixed at 44 % of pupils.

The diagramme 1

Control class MBOU SOSH of №6 of Vladimir

The beginning of experimental training

In an experimental class of this school on a low level on an indicator of the characteristic of motives of the doctrine defining quality of a subject position of pupils in knowledge, were at 29 % of pupils, readiness for a reflexion and a self-reflexion of a course and results of knowledge on a low level made at 36 % of pupils in the given class, degree of expressiveness of a tsennostno-semantic position in knowledge has been on a low level noted at 41 % of pupils. Progress was on a low level at 33 % of pupils in a control class and at 29 % of pupils in an experimental class.

Experimental class MBOU SOSH of №6 of Vladimir

The beginning of experimental training

The received results of ascertaining experiment allow to conclude, that indicators sformirovannosti personal results with which we have allocated, at pjatiklassnikov by all criteria are generated not up to the mark.

At the initial stage of training experiment in MBOU SOSH № 54 of Chelyabinsk in a control class at 43 % of pupils of 5 classes of the characteristic of motives of the doctrine defining quality of a subject position of pupils in knowledge, were on a low level, readiness for a reflexion and a self-reflexion of a course and results of knowledge on a low level made 33 % of pupils, degree of expressiveness of a tsennostno-semantic position in knowledge has been on a low level fixed at 34 % of schoolboys.

The diagramme 3

Control class MBOU SOSH of №54 of Chelyabinsk

The beginning of experimental training

95

In an experimental class of this school on a low level characteristics of motives of the doctrine defining quality of a subject position of pupils in knowledge, were at 37 % of pupils, readiness for a reflexion and a self-reflexion of a course and results of knowledge on a low level made at 40 % trained in the given class, expressiveness degree tsennostnoyosmyslovoj positions in knowledge has been on a low level noted at 33 % of pupils. Progress was on a low level at 43 % of pupils in a control class and at 47 % of pupils in an experimental class.

The diagramme 4

Experimental class MBOU SOSH of №54 of Chelyabinsk

The beginning of experimental training

On the data received in MOU Kitovsky SSH the Ivanovo area, at the initial stage of training experiment in a control class we observe, that at 40 % of schoolboys of 5 classes of the characteristic of motives of the doctrine defining quality of a subject position of pupils in knowledge were on a low level, readiness for a reflexion and a self-reflexion of a course and results of knowledge on a low level made at 36 % of schoolboys, degree of expressiveness of a tsennostno-semantic position in knowledge has been on a low level fixed at 52 % of pupils.

Control class MBOU Kitovsky OSH the Ivanovo region

The beginning of experimental training

In an experimental class of this school on a low level on an indicator of the characteristic of motives of the doctrine defining quality of a subject position of pupils in knowledge, there were 36 % of pupils, on an indicator readiness for a reflexion and a self-reflexion of a course and results of knowledge on a low level there were 40 % of pupils of this class, on the third indicator of qualitative criterion degree of expressiveness of a tsennostno-semantic position in knowledge has been on a low level noted at 48 % of pupils. Progress was on a low level at 28 % of pupils in control and experimental classes.

The diagramme 6

Experimental class MBOU Kitovsky OSH the Ivanovo region

The beginning of experimental training

97

From the received results of ascertaining experiment it is possible to draw a conclusion, that indicators sformirovannosti personal results are developed not at corresponding level with which we have allocated at pjatiklassnikov by all criteria.

Considering the given indicators in dynamics, we mark the following: within two educational years of experimental training the percent of pupils of the experimental classes passing with low average and from an average on high level sformirovannosti of personal results, stably increased (accordingly, the quantity of pupils on a low level) decreased.

For two years of experiment in experimental class MBOU SOSH № 54 of Chelyabinsk the percent of the pupils who are on a low level on an indicator of motives of the doctrine, defining quality of a subject position of pupils in knowledge, was reduced to 20 %.

The percent of pupils with low level on the second indicator of qualitative criterion, readiness of a reflexion and a self-reflexion of a course and results of knowledge, has decreased on 19 % and on the third indicator of qualitative criterion, degrees of expressiveness of a tsennostno-semantic position in knowledge, has decreased on 20 % whereas in a control class on the first indicator of qualitative criterion the percent of pupils with low level even has increased by 4 %, reduction on the second and third indicator has made accordingly on 6 % and 4 %. The percent of pupils with low level of progress in a control class has increased by 4 % whereas in an experimental class it was reduced to 17 %.

Control class MBOU SOSH of №54 of Chelyabinsk

Total stage of experimental training

The diagramme 8

Experimental class MBOU SOSH of №54 of Chelyabinsk

Total stage of experimental training

In MOU Kitovsky SSH the Ivanovo area for two academic years the percent of the pupils who are on a low level on the first, second and third indicator of qualitative criterion was reduced to 16 % whereas in a control class on the first and second indicators of qualitative criterion the percent of pupils with low level remained invariable, on the third indicator was reduced to 4 %.

The percent of pupils with low level of progress in a control class has increased by 4 %, and in an experimental class was reduced to 8 %.

Control class MBOU Kitovsky OSH the Ivanovo region

Total stage of experimental training

The diagramme 10

Experimental class MBOU Kitovsky OSH the Ivanovo region

Total stage of experimental training

In SOSH № 6 of Vladimir experimental training within one academic year has allowed to reduce percent of pupils of an experimental class with low level on the first indicator of qualitative criterion to 15 %, on the second indicator on 18 % and on the third on 27 %.

Proceeding from the aforesaid, it is obvious, that in an experimental class the steady, stable increase in quantity of the pupils passing with low average and from an average on high level sformirovannosti of personal results of training is observed.

Thus we notice, that in experimental classes process of transition to higher levels sformirovannosti personal results

Occurs much higher rates, than in control classes.

Considering a quantity indicator of dynamics of personal results, we observed reduction of percent of pupils with a low indicator of progress during the period of training experiment on 11 %.

The diagramme 11

Control class MBOU SOSH of №6 of Vladimir

Total stage of experimental training

The diagramme 12

Experimental class MBOU SOSH of №6 of Vladimir

Total stage of experimental training

It is necessary to notice, that the quality indicator of dynamics of personal results of schoolboys allows to see, how quality sformirovannosti personal results that causes transition of the pupil with low on an average level, and further from an average on high level sformirovannosti personal results changes in each level.

Also it shows the stable tendency of transition of pupils on higher levels sformirovannosti personal results at the corresponding organisation of training on the basis of use of the educational tasks focused on achievement of personal results irrespective of region in which the school is located, national structure of a class, a profile of school and a class, school type (rural or city).

However the tendency of growth of personal results of training of pupils of rural school a little bit more low, than at pupils of city school. It can be caused a number of the problems having sotsiokulturnyj character: remoteness from the centres of culture, art, science and education, limitation in reception by children of various social experience.

Skilled-experimental work confirms, that if in the course of training of schoolboys to use the set of didactic means developed by us favorable conditions and necessary conditions for purposeful are created, instead of spontaneous formation of personal results at the majority of schoolboys and according to reference points set by training on their personal development. As acknowledgement to it are served by comparison of results opytnoyoeksperimentalnoj works in control and experimental classes.

From the resulted diagrammes the increase in level of personal results of training in experimental classes is defined, in control classes this level remained almost invariable.

Thus effectiveness of the didactic principles of construction of the educational tasks directed on formation of personal results of schoolboys developed by us is obvious.

Let's result comparative tables of indicators of level sformirovannosti personal results of training in control and experimental classes at an initial and total stage of carrying out of skilled-experimental work.

MBOU SOSH № 54 Chelyabinsk

Control class

Levels

Indicators ^^^

Before experimental work After experimental work Difference
The high Average The low The high Average The low The high Average The low
Progress 17 % 40 % 43 % 13 % 40 % 47 % Has gone down on 4 % Remained former Has raised on 4 %
Degree of expressiveness of a tsennostno-semantic position in knowledge 13 % 53 % 34 % 13 % 57 % 30 % Remained former Has raised on 4 % Has gone down on 4 %
The characteristic of motives of the doctrine defining quality of a subject position of pupils in knowledge 20 % 37 % 43 % 20 % 33 % 47 % Remained former Has gone down on 4 % Has raised on 4 %
Readiness for a reflexion and self-reflexion of a course and results of knowledge 17 % 50 % 33 % 20 % 53 % 27 % Has raised on 4 % Has raised on 3 % Has gone down on 6 %

MBOU SOSH № 54 Chelyabinsk

Experimental class

Levels

Indicators

Before experimental work After experimental work Difference
The high Average The low The high Average The low The high Average The low
Progress 20 % 33 % 47 % 30 % 53 % 17 % Has raised on 10 % Has raised on 20 % Has gone down on 30 %
Degree of expressiveness of a tsennostno-semantic position in knowledge 17 % 50 % 33 % 21 % 58 % 21 % Has raised on 4 % Has raised on 8 % Has gone down on 12 %
The characteristic of motives of the doctrine defining quality of a subject position of pupils in knowledge 17 % 43 % 40 % 27 % 60 % 13 % Has raised on 10 % Has raised on 17 % Has gone down on 27 %
Readiness for a reflexion and self-reflexion of a course and results of knowledge 17 % 43 % 37 % 31 % 52 % 17 % Has raised on 14 % Has raised on 9 % Has gone down on 20 %

MBOU SOSH № 6 Vladimir

Control class

Indicators ^ ~ ^^^^^^ Before experimental work After experimental work Difference
The high Average The low The high Average The low The high Average The low
Progress 19 % 48 % 33 % 19 % 48 % 33 % Remained former Remained former Remained former
Expressiveness degree tsennostnoyosmyslovoj positions in knowledge 15 % 41 % 44 % 15 % 48 % 37 % Remained former Has raised on 7 % Has gone down on 7 %
The characteristic of motives of the doctrine defining quality of a subject position of pupils in knowledge 22 % 48 % 30 % 22 % 52 % 26 % Remained former Has raised on 4 % Has gone down on 4 %
Readiness for a reflexion and self-reflexion of a course and results of knowledge 15 % 52 % 33 % 18 % 56 % 26 % Has raised on 3 % Has raised on 4 % Has gone down on 7 %

MBOU SOSH № 6 Vladimir

Experimental class

^ ~ ^ \^urovni

Indicators ^^^^^

Before experimental work After experimental work Difference
The high Average The low The high Average The low The high Average The low
Progress 18 % 53 % 29 % 21 % 61 % 18 % Has raised on 3 % Has raised on 8 % Has gone down on 11 %
Degree of expressiveness of a tsennostno-semantic position in knowledge 15 % 44 % 41 % 25 % 61 % 14 % Has raised on 10 % Has raised on 17 % Has gone down on 27 %
The characteristic of motives of the doctrine defining quality of a subject position of pupils in knowledge 21 % 44 % 41 % 25 % 61 % 14 % Has raised on 4 % Has raised on 17 % Has gone down on 27 %
Readiness for a reflexion and self-reflexion of a course and results of knowledge 21 % 43 % 36 % 25 % 57 % 18 % Has raised on 4 % Has raised on 14 % Has gone down on 18 %

MOU Kitovsky SSH the Ivanovo area

Control class

Indicators ^^^^^^^ Before experimental work After experimental work Difference
The high Average The low The high Average The low The high Average The low
Progress 20 % 52 % 28 % 20 % 48 % 32 % Remained former Has gone down on 4 % Has raised on 4 %
Expressiveness degree tsennostnoyosmyslovoj positions in knowledge 20 % 44 % 36 % 16 % 48 % 36 % Has gone down on 4 % Has raised on 4 % Remained former
The characteristic of motives of the doctrine defining quality of a subject position of pupils in knowledge 12 % 36 % 52 % 12 % 40 % 48 % Remained former Has raised on 4 % Has gone down on 4 %
Readiness for a reflexion and self-reflexion of a course and results of knowledge 16 % 44 % 40 % 16 % 44 % 40 % Remained former Remained former Remained former

MOU Kitovsky SSH the Ivanovo area

Experimental class

Levels

Indicators

Before experimental work After experimental work Difference
The high Average The low The high Average The low The high Average The low
Progress 24 % 48 % 28 % 36 % 48 % 16 % Has raised on 8 % Remained former Has gone down on 12 %
Expressiveness degree tsennostnoyosmyslovoj positions in knowledge 20 % 40 % 40 % 28 % 48 % 24 % Has raised on 8 % Has raised on 8 % Has gone down on 16 %
The characteristic of motives of the doctrine defining quality of a subject position of pupils in knowledge 12 % 40 % 48 % 20 % 48 % 32 % Has raised on 8 % Has raised on 8 % Has gone down on 16 %
Readiness for a reflexion and self-reflexion of a course and results of knowledge 16 % 48 % 36 % 28 % 52 % 20 % Has raised on 12 % Has raised on 4 % Has gone down on 16 %

For acknowledgement of a hypothesis of research on positive influence on formation of personal results of schoolboys of the set of didactic construction tools of the educational tasks focused on achievement of personal results of training of an estimation of dynamics of personal results developed by us χ2 (D.A.Novikov) [95] were processed by a technique of definition of reliability of coincidence and distinctions for the experimental data measured in a serial scale, by statistical criterion of uniformity.

It was necessary for us to prove, that pupils of control and experimental classes before application of a special complex of didactic means had identical initial level of personal results of training. After experimental training with use of special complexes of didactic means, level sformirovannosti personal results of schoolboys in experimental classes became considerably above in comparison with control classes that testifies to its effectiveness of the developed set of didactic construction tools of the educational tasks focused on achievement of personal results of training.

For this purpose it was necessary to calculate empirical value of criterion prior to the beginning of experiment and to compare it to known tabular number - critical value of criterion with a significance value 0,05, that on 95 % guarantees reliability of the received results.

Critical values/E\1Ikriterija χ2для a significance value 0,05 are resulted in table 14.

Table 14

Critical values of criterion χ2для a significance value and = 0, 5

L-1 1 2 3 4 5 6 7 8 9
Z θ, 05 3,84 5,99 7,82 9,49 11,07 12,59 14,07 15,52 16,92

In considered diagnosing at a level estimation sformirovannosti personal results to each level allocated with us (low, average, high) have been put in conformity points: 1, 2 or 3.

It is more low resulted the tables correlating levels sformirovannosti of personal results with points in experimental and control classes in the beginning of experimental training.

Table 15

Distribution of pupils of experimental classes on levels sformirovannosti personal results prior to the beginning of experiment

Levels sformirovannosti personal results 1 point 2 points 3 points
The low 28
Average 38
The high 17

Distribution of pupils of control classes on levels sformirovannosti personal results prior to the beginning of experiment

Levels sformirovannosti personal results 1 point 2 points 3 points
The low 31
Average 37
The high 14

As L=3 (three levels sformirovannosti personal results "low", "average" are allocated, "high"), hence, L — 1 = 2. From the table of critical value of criterion it is received for L — 1 = 2: ∕2m π = 5,99.

Empirical value of criterion ∕∣ вычислялось under the formula:

Classes, M - number of pupils of all control classes, n - number of pupils of experimental classes with certain level sformirovannosti personal results, m - number of pupils of control classes with certain level sformirovannosti informative experience.

Parametres of experimental classes: N=83, n1=28, n2=38, n3=17. Parametres of control classes: M=82, m1=31, m2=37 m3=14. We substitute in the formula specified in algorithm.

Empirical value of criterion before experiment carrying out:


Having compared empirical and critical values of criterion (0,5 5,99), we have confirmed reliability of distinctions on level sformirovannosti personal results of schoolboys between experimental and control groups in the end of experimental training that testifies to positive influence of the set of didactic means developed by us.

The received results of statistical processing of experimental data allow us to confirm:

- Application of the set of didactic construction tools of the educational tasks directed on achievement of personal results of schoolboys developed by us, leads statistically significant (at level of 95 %) to differences of results.

- Hence: level increase sformirovannosti

Personal results of schoolboys of experimental classes has occurred not in a random way; the results received during experiment - are authentic;

- Upon termination of 6 classes level sformirovannosti personal results by all criteria at pupils of experimental classes in comparison with control classes has aloud raised.

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A source: Beljaeva Ekaterina Aleksandrovna. the EDUCATIONAL TASK AS PEDAGOGICAL MEANS of ACHIEVEMENT of PERSONAL RESULTS of TRAINING At the BASIC SCHOOL. The DISSERTATION on competition of a scientific degree of the candidate of pedagogical sciences. Vladimir - 2019. 2019

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