MODELS AND METHODS IN MODERN SCIENCE
International scientific-online conference
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SYSTEM FOR ASSESSING AND MONITORING THE KNOWLEDGE OF
HIGHER MATHEMATICS OF NON-SPECIALIST STUDENTS
Sabirov Sardor Jumanazarovich
Acting Associate Professor, Department of "General Professional Sciences",
Ma'mun University, Doctor of Philosophy in Pedagogical Sciences (PhD)
https://doi.org/10.5281/zenodo.15302556
Annotation:
This article analyzes the issues of the system for assessing and
monitoring the level of knowledge of non-specialist students in the process of
teaching them higher mathematics. The importance of using modern
pedagogical technologies and information and communication tools to ensure
the objectivity and effectiveness of the assessment process is shown.
Keywords
: assessment, monitoring system, diagnostic tests, rating system,
portfolio assessment, electronic monitoring, individual approach.
Introduction
In today's conditions of globalization and digital transformation, the tasks
of qualitatively forming knowledge, skills and competencies and accurately and
systematically assessing student knowledge are becoming increasingly
important for the higher education system. In particular, effective management
of the mastery of basic disciplines such as higher mathematics for non-specialist
students and monitoring of results require updating the methodological and
technological foundations of the educational process.
When teaching higher mathematics to non-specialist students, the
processes of assessment, monitoring and diagnostics allow for the formation of
individual development trajectories of students, identification of gaps in their
knowledge and adaptive optimization of the learning process. The
comprehensive use of formative (in-process) and summative (final) types of
assessment, the introduction of modern digital assessment systems (Learning
Management Systems — LMS) and interactive testing platforms ensure the
accuracy and transparency of learning results.
In assessing mathematical knowledge for non-specialist students, there is a
need to use integrated monitoring mechanisms based on multi-stage diagnostic
tests, rating points systems, electronic portfolios and peer-assessment methods,
not limited to traditional written exams. Such approaches allow for the
synchronous development of knowledge, practical skills and creative thinking.
The main purpose of the article is to develop a systematic model for
assessing and monitoring the knowledge of non-specialist students in higher
mathematics, to clarify the theoretical and methodological foundations and
develop practical recommendations to improve its effectiveness. Also, within the
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framework of the study, special attention is paid to determining the assessment
indicators, metric indicators of the monitoring process, feedback mechanisms
and their impact on the quality of education.
One of the main principles underlying the quality and effectiveness of
education is the scientifically based and systematic organization of the process
of assessing and monitoring knowledge. The monitoring and assessment
methodology for providing knowledge to non-specialist students in higher
mathematics has its own characteristics, and in its organization there is a need
to abandon traditional approaches and rely on innovative pedagogical
technologies.
The research methodology is based on the constructivist theory of
education. According to this approach, knowledge is formed as a result of the
student's individual activity, and assessment tools should serve to determine his
thinking process and ability to solve problems. Therefore, as a methodological
model, formative and summative assessment methods are combined: during
formative assessment, the level of knowledge and development dynamics of
students are analyzed, while summative assessment allows us to determine
their overall achievements.
The study widely used empirical methods: questionnaires, diagnostic tests,
analysis of learning outcomes through a rating system, and methods for studying
the development of knowledge using the portfolio method were introduced. In
the monitoring process, Learning Management System (LMS) platforms, in
particular, tools such as Moodle and Google Classroom, were used to monitor the
learning process in real time. Also, electronic tests and automatic verification
capabilities based on the CASE (Computer-Assisted Student Evaluation) system
were used for diagnostic assessment.
An important element of the methodology was the concept of Competence-
Based Assessment. The aim was to identify not only knowledge and skills, but
also functional competencies such as analytical thinking, problem solving, and
mathematical modeling. Dynamic monitoring technologies were used to track
individual development trajectories: the student's academic achievements were
regularly assessed and individual recommendations were developed
accordingly.
Another important aspect of the methodology is to make students active
participants in the assessment process by introducing peer-assessment and self-
assessment methods. This served to develop self-analysis skills and form a
responsible approach to their own educational activities.
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Thus, the research methodology was formed as integrated, multi-factorial
and combined with modern technologies. It set itself the goal of not only
measuring the level of knowledge, but also developing the intellectual potential,
creative and analytical thinking of students.
When teaching complex and highly cognitively demanding subjects such as
higher mathematics to non-specialists, the system of knowledge assessment and
monitoring is a powerful tool that not only determines learning outcomes, but
also actively influences the process of students' mastery. The fact that traditional
assessment approaches are based only on outcome indicators is not enough
today. The modern educational paradigm places the student at the center and
directs the assessment process to the development of their intellectual,
analytical and adaptive problem-solving competencies.
The first thing that emerged during the discussion was that for non-
specialist students, higher mathematics is often abstract and its practical
significance in real life is not sufficiently understood. Therefore, the assessment
and monitoring system should not be limited to testing knowledge facts, but
should also include the formation of mathematical thinking, algorithmic
thinking, and modeling skills in students. The results obtained through
diagnostic tests, electronic monitoring, and portfolios show that when
continuous feedback and outcome analysis are conducted during the learning
process, students can consciously assess their knowledge and more quickly
identify and eliminate their shortcomings.
The assessment system requires a flexible approach, including individual
development monitoring, taking into account the personal needs and pace of
development of students. During the study, it was observed that when self-
assessment and peer-assessment methods were introduced, students began to
take a more responsible approach to their learning process, and critical thinking
and reflection skills were formed. This helped to increase not only learning
outcomes, but also motivation for learning.
Another important aspect was analyzed during the discussion - the
possibilities of assessment and monitoring using digital technologies. Automatic
results obtained through electronic testing systems and LMS platforms showed
that, compared to traditional assessment forms, digital tools significantly
increase the accuracy, transparency, and rapid analysis of learning outcomes.
Also, digital monitoring tools made it possible to identify weak points in
students' knowledge in real time and develop tailored methodological
recommendations for them.
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The effectiveness of the assessment and monitoring system largely depends
on the teacher's methodological skills, the correct selection of assessment tools,
and the ability to properly integrate assessment results into the learning
process. An effective assessment system also requires constant analysis and
optimization. Experience has shown that the use of approaches such as
gamification of assessment, problem-based tests, and practical project
assessment have yielded positive results in developing students' thinking and
mathematical thinking.
In general, in order for the assessment and monitoring system to achieve its
goal, it must not only be a means of verification, but also become an integral,
active and dynamic component of education. An assessment system that forms
the skills of independent learning, reflection and self-development in students
can serve as an important factor in the mastery of higher mathematics,
especially for non-specialist students.
Conclusion
The results of the study show that if the system for assessing and
monitoring the level of mastery of higher mathematics by non-specialist
students is organized in an integrated manner with modern pedagogical and
digital technologies, the quality indicators of the educational process will
increase significantly. Combining formative and summative assessment methods
in the assessment and monitoring of knowledge, implementing a competency-
based approach and using dynamic diagnostic methods serve to further develop
students' knowledge, skills and competencies.
The use of Learning Management Systems (LMS), electronic tests, portfolios
and rating systems in the assessment process has created the opportunity to
obtain accurate, objective and real-time analytical information about learning
outcomes. In particular, the use of diagnostic assessment and monitoring tools
has made it possible to identify individual development trajectories of students
and develop flexible learning strategies tailored to their learning needs.
Also, the introduction of peer-assessment and self-assessment mechanisms
has increased students' ability to reflect, independent analysis and motivation
for self-development. This has had a positive impact on the activation of their
mathematical thinking, the development of algorithmic thinking and practical
problem-solving competencies.
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