knowledge. It is necessary to equip the student him-
self as the subject of the educational process with the
skills and appropriate pedagogical forecasting tools
for an independent choice of the appropriate variant
of educational activity. The teacher should manage
this pedagogical diagnostics system and provide the
student with necessary help. Design of the computer-
based pedagogical diagnostic system requires the de-
velopment of a learning objectives model, a student
psychological and pedagogical model (SPPM) and
learning technologies model that would form the ba-
sis of this system. These models should be specially
structured and should contain a limited number of pa-
rameters, which can be directly measured in the edu-
cational process.
Let fix our attention at one of this three major
models in the system of pedagogical diagnostics – the
psychological and pedagogical model of the student
(SPPM) (Kolgatin, 2012). SPPM is built on the ba-
sis of learning objectives model so that the parame-
ters of the student model reflect the forthcoming to
the intended learning goal. The SPPM is to allow
comparison of successive academic achievements, re-
flecting the dynamics of learning process. That is,
this model should be dynamic. Based on the anal-
ysis of pedagogical science data in the field of edu-
cational achievement modelling (Pustobaev and Sa-
iapyn, 2005; Bespalko, 2002; Lerner, 1978; Raven,
1991; Babansky, 1989), a system of criteria has been
proposed (Kolgatin, 2012) according to such com-
ponents: motivation and target, educational content
mastering, self-management and activity, reflection
and prognosis (table 1). Further comprehensive de-
veloping of this model needs in a lot of experimen-
tal data on correspondence between criteria indicators
that can be directly measured in educational process
and real results of students’ educational work. But we
have not enough such data in modern publications as
it was shown above.
Estimation of the parameters that characterise the
educational content criteria is carried out by means
of pedagogical testing based on the concept of the
level of educational achievements in accordance with
the works of Bespalko (Bespalko, 2002) and Lerner
(Lerner, 1978) as well the Ukrainian educational stan-
dards. These works are not modern, but classic. The
ideas of Bespalko correlate with Bloom’s taxonomy
(Bloom et al., 1956), but Bespalko’s approach is more
simple and useful for practical automated pedagogi-
cal measurements. Lerner’s ideas give us possibility
to classify criteria according to indicators than can be
measured directly as it was shown in (Kolgatin, 2012).
The parameter of the lasting of knowledge has not
included to composition of database for model param-
eters (Kolgatin, 2012). According to definition, last-
ing of knowledge is the permanent fixation in the stu-
dent’s memory of the system of essential knowledge
and methods of their application or the willingness
to derive the necessary knowledge from other based
knowledge (Lerner, 1978). A natural measure of last-
ing of knowledge is the ratio of the appropriate mas-
tering coefficients according to the preliminary and
current testing. If the mathematical model used in the
automated system of diagnostics considers the param-
eters of student’s academic achievements in dynam-
ics (as a function of time), then a separate parameter
“lasting of knowledge” is not needed. It is replaced
by the functional dependence of all other parameters
on the time that, definitely, carries more information.
The parameters of the student’s psychological
and pedagogical characteristics are determined by the
teacher on the basis of pedagogical observation and
analysis of the products of the student’s educational
activity. The student also takes active part in deter-
mining these parameters by introspection.
A high level of reflection on the result of the ac-
tivity indicate the student’s ability to objectively eval-
uate own results of the learning activity and his desire
to complete the task qualitatively, to bring the work to
a logical conclusion. The presence of an appropriate
parameter in the student psychological and pedagog-
ical model (SPPM) gives a reason to offer students,
who have the developed reflection to the result of own
activity, educational tasks of a creative nature. Other-
wise, such tasks as projects, creative works etc. can be
ineffective without student’s own reflection, because
it is difficult to build an objective and unambiguous
algorithm for its checking.
High importance of the result of learning activ-
ity for the student is expressed in the desire to mas-
ter given knowledge and skills as soon as possible,
to get the result of the activity in the form of a fully
completed task or project, a solved problem, etc. Of
great importance is the student’s sense of satisfaction
from the successful completion of similar tasks in the
past (Raven, 1991). The organization of education of
such students should provide for certain stop points at
which the student can feel the completion of the stage
of work. It is advisable to prevent the unexpected ad-
ditional tasks and complications.
High interest in the process of learning is often
native for students with research abilities, who can
unlimited improve a computer program or laboratory
equipment, collect some data from the Internet and so
on. Modern multimedia tools and intelligent learning
systems help to increase delight of the learning pro-
cess itself. But the interest in certain activities in the
absence of significance of the learning result leads to a
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