International Journal of Pedagogics
178
https://theusajournals.com/index.php/ijp
VOLUME
Vol.05 Issue04 2025
PAGE NO.
178-181
10.37547/ijp/Volume05Issue04-48
Development of Mathematical Competence of Primary School
Students Based On 4k Educational Technologies
Umirov Boboyor Bakhtiyor o‘g‘li
Uzbekistan-Finnish Pedagogical Institute, Teaching Assistant, Department of Primary Education, Uzbekistan
Tokhirova Marjona Najmiddin qizi
Student, Primary Education Program, Uzbekistan-Finnish Pedagogical Institute, Uzbekistan
Received:
25 February 2025;
Accepted:
21 March 2025;
Published:
24 April 2025
Abstract:
This article discusses the role and importance of 4K educational technologies in the development of
mathematical competence of primary school students. 4K
–
creativity, communication, collaboration and critical
thinking competencies are considered the main directions in modern education. The article discusses how these
competencies can be formed in students through mathematics, what methods and approaches are effective, and
how students’ thinking develops as a result of these approaches. The effectiveness o
f education and increasing
students’ interest in science through methodological approaches are substantiated
.
Keywords:
4K educational technologies, primary education, mathematical competence, creativity,
communication, collaboration, critical thinking, methodology, student activity.
Introduction:
In today's era of globalization and digital
transformation, one of the main tasks facing the
education system is the development of modern
competencies. It is particularly important to awaken
students' interest in learning, develop their thinking
culture, and prepare them for social and life activities
during the primary education stage. From this
perspective, 4K educational technologies - namely the
competencies of critical thinking, communication,
collaboration, and creativity - serve as essential tools in
developing students' general learning competence,
especially their mathematical competence.
Mathematics teaches not only numerical calculations
and formulas but also logical thinking, analysis,
understanding problematic situations, and finding
solutions. For primary school students in particular,
mathematics is one of the most suitable subjects for
developing skills such as understanding the
environment, identifying main ideas, comprehending
cause-and-effect relationships, and forming systematic
and precise thinking abilities. The effective
development of such skills requires modern
approaches - specifically, the integration of 4K
competencies.[1]
Each of the 4K technologies plays a distinctive role in
mathematics education. For instance, critical thinking
serves to analyze complex problems, distinguish
superfluous information, and draw substantiated
conclusions, while communication teaches students to
share mathematical ideas, explain their thoughts based
on evidence, and provide logical answers to questions.
Collaboration encompasses problem-solving through
teamwork, listening to and learning from one another.
Creativity enables students to find unconventional,
original solutions and helps develop various
approaches to problems.
Therefore, developing mathematical competence
based on 4K technologies in primary education means
not only imparting knowledge but also developing the
ability to apply it in practice, cultivating thinking culture
and reasoning abilities, as well as forming personal
qualities that prepare students for future independent
life. This process requires teachers to have high-level
methodological preparation, use interactive tools, and
take into account each student's interests and
individual characteristics.[2]
International Journal of Pedagogics
179
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International Journal of Pedagogics (ISSN: 2771-2281)
Furthermore, the integration of 4K technologies into
the teaching process contributes to the development of
students' self-assessment, self-improvement, critical
thinking, and creativity. This, in turn, enhances not only
their interest in the subject but also their active
participation in class, independent thinking, and sense
of responsibility. These factors directly contribute to
the deepening of mathematical competence, that is,
the thorough assimilation of knowledge and the ability
to apply it in real-life situations.
Overall, the use of 4K educational technologies in
developing mathematical competence among primary
school students is an important tool for improving the
quality of education and ensuring students’ personal,
social, and cognitive development. It is an innovative
approach that meets the requirements of modern
education. [3]
METHOD
4K educational technologies represent a pedagogical
approach that embodies the main directions of 21st-
century education. They aim to develop key
competencies in students such as independent
thinking, creative and systematic approaches to
problem-solving,
teamwork,
and
effective
communication. This approach is based on four key
pillars: critical thinking, communication, collaboration,
and creativity. Each component has its own content
and a unique role in the comprehensive development
of the learner's personality. [4]
First and foremost, critical thinking is the ability to
deeply analyze information, evaluate it thoroughly,
draw logical conclusions, and make well-founded
decisions. A student who can think critically is able to
look at any issue from various perspectives. Rather
than simply memorizing facts, they strive to analyze,
evaluate, and express ideas based on evidence. This
approach is especially important in mathematics,
where solving problems and exercises requires testing
different strategies, comparing them, and choosing the
most effective solution. Critical thinking broadens the
student's worldview and teaches them to make
independent decisions.
Communication is the ability to exchange ideas, engage
in dialogue, express one’s thoughts clearly and
coherently, as well as listen to and understand others.
Communication helps students find their place in
society and participate actively and effectively in social
environments. By developing communicative skills
during the learning process, students take an active
part in class discussions, ask questions, express
opinions, and try to present their viewpoints during
group work. For primary school students in particular,
this skill is one of the fundamental pillars, as at this age
they learn to reason, ask questions, and listen to
responses through interaction with those around them.
[5]
Collaboration
, or working together, refers to students'
active participation in working as a team toward a
common
goal,
sharing
tasks,
understanding
responsibility, and contributing to a collective
outcome. A collaborative approach helps students
develop skills such as joint decision-making, solving
problems as a group, and offering mutual support.
Through activities like working in small groups and
completing joint projects or assignments, students
learn to listen to one another, express their opinions,
and reach consensus with others. This process also
instills values such as mutual respect, responsibility,
leadership, and equality. Collaboration fosters skills
that play a crucial role in both social and professional
life in the future.
Creativity
is the ability to think innovatively, generate
new
ideas,
approach
existing
problems
in
unconventional ways, and make creative decisions.
Creativity expands students' imagination, curiosity, and
opportunities for self-expression. During lessons,
creative thinking is encouraged through open-ended
questions, imaginative tasks, and unusual problem-
solving
approaches. This increases students’ interest in
the lesson, motivates them to express their thoughts
freely, and promotes their creative expression. It is
especially important to nurture creativity at the
primary school level, as this is the stage when children
first begin to engage in active creative processes. [6]
In conclusion, each component of the 4K educational
technologies is closely interconnected and plays a
significant role in the personal, social, and cognitive
development of students. These competencies serve as
essential tools in nurturing individuals who meet the
demands of modern society
—
those who are open to
innovation,
active,
responsible,
and
creative.
Introducing these approaches into the educational
process at the primary school level can lay the
foundation for reinforcing essential life skills in
students.
The Concept of Mathematical Competence and Its
Expression in Primary School Students Mathematical
competence refers to a student’s ability to apply
knowledge, skills, and abilities related to mathematics
in practical life. This concept encompasses not only
memorization of mathematical knowledge but also the
ability to apply that knowledge in real-life situations,
solve problems, analyze, think logically, and make
independent decisions. In the 21st century, readiness
to work with numbers, formulas, quantities, order,
logic, and relationships is considered one of the key
International Journal of Pedagogics
180
https://theusajournals.com/index.php/ijp
International Journal of Pedagogics (ISSN: 2771-2281)
social
competencies.
Therefore,
mathematical
competence should be developed starting from the
primary school stage. [7]
For
primary
school
students,
mathematical
competence is expressed in the following areas:
•
Mastery of basic mathematical concepts:
Students acquire initial knowledge about numbers,
numerals, arithmetic operations (addition, subtraction,
multiplication, division), shapes, and measurements.
This knowledge forms the basis for the development of
their thinking and prepares them for studying other
subjects at later stages.
•
Problem-solving skills: In primary school,
students learn to understand and solve mathematical
problems. In this process, they analyze situations, think
logically, and strive to find solutions through
mathematical modeling. This competency is highly
valuable in solving everyday life problems.
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Logical Thinking and Consistency: One of the key
aspects of mathematical competence is the ability to
think consistently and precisely, identify cause-and-
effect relationships, and reason logically. Primary
school students develop this skill through various
logical exercises, sequences, and conditional problems.
[8]
Use of Mathematical Language and Expression Tools:
Students learn to work with numbers, mathematical
symbols, diagrams, tables, and graphs. This helps them
understand, analyze, and clearly explain information.
Application of Mathematics in Real-Life Situations:
Activities such as calculating money during shopping,
telling time, and measuring distance or weight are
examples of how students can develop mathematical
competence in their daily lives.
Creative
Approach
and
Advanced
Thinking:
Mathematical competence is not limited to traditional
knowledge. Students also develop the ability to solve
problems in different ways, try out new methods, and
draw the right conclusions from incorrect answers. This
encourages them to be creative thinkers.
Thus, mathematical competence is a fundamental
component of primary education, aimed at developing
students' ability to think independently, analyze
problems, and find solutions. In developing this
competence,
modern
curriculum
approaches,
interactive methods, the use of 4K technologies, game-
based methods, and visual materials play a crucial role.
Through these means, students begin to perceive
mathematics not just as an academic subject but as an
integral part of real life.
Teaching mathematical knowledge in primary school
based on 4K technologies is rooted in modern
pedagogical approaches. These approaches aim to
cultivate deep knowledge and skills in students,
enabling them to apply what they’ve learned in real
-life
situations, and encouraging logical and creative
thinking. The 4K pillars
—
critical thinking,
communication, collaboration, and creativity
—
have
become the foundational principles of the educational
process. In primary school mathematics lessons, these
principles are reflected as follows:
Firstly, lessons based on 4K technologies increase
student engagement. Students are no longer passive
recipients of ready-made knowledge but become
active seekers, problem-solvers, and creators of new
ideas. For example, instead of solving traditional
textbook problems, students are presented with real-
life situational problems. This encourages independent
thinking, inquiry, and critical reflection.
Secondly, special attention is given to enhancing
communication during the learning process. Students
work in small groups where they can freely express
their ideas, listen to others, and learn to defend their
opinions and engage in constructive discussions. For
instance, solving a mathematical problem in multiple
ways and discussing these methods within the group
helps solidify understanding.
Thirdly,
collaboration
is
applied
as
a
key
methodological approach. Through collaborative
learning, students learn to study together, support one
another, and make decisions collectively. For example,
working on a project as a team, either in a physical
environment or on digital platforms, using numbers,
shapes, and graphs, allows students to develop
interconnection skills and experience the process of
integrating their thoughts with others.
Fourthly, methods that stimulate creativity are widely
used. Students are encouraged to solve problems in
diverse ways, offer their own strategies, and complete
tasks that promote creative thinking through
mathematical games and interactive applications.
Activities such as creating stories with numbers,
illustrating the animal world using geometric shapes, or
role-playing based on a problem's scenario make
learning
mathematics
more
engaging
and
meaningful.[9]
In addition, to effectively implement 4K technologies,
ICT (Information and Communication Technology) tools
are actively used. With the help of interactive
whiteboards, multimedia programs, online quizzes, and
visual platforms, students’ interest and motivation
toward mathematics increase. These tools not only
International Journal of Pedagogics
181
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International Journal of Pedagogics (ISSN: 2771-2281)
help students acquire knowledge but also allow them
to participate actively in the learning process.
In conclusion, teaching mathematical knowledge in
primary school using methods based on 4K
technologies contributes significantly to the personal
and intellectual development of students. Through
these methods, students evolve into individuals who
can apply mathematics in real life, justify their ideas,
understand their role and responsibility in a team, and,
most importantly, become creative and independent
thinkers.
RESULTS
According to the research results, the use of 4K
technologies in mathematics lessons led to the
following changes in students:
•
Students’ depth of thinking increased, and they
began to approach questions with independent
reasoning.
•
Collaboration skills developed through group
work.
•
Students began to solve mathematical
problems creatively using various methods.
•
During lessons, students gained the habit of
listening to each other, expressing opinions, and
engaging in dialogue through Q&A.
CONCLUSION
In developing mathematical competence among
primary school students, 4K educational technologies
—
critical thinking, communication, collaboration, and
creativity
—
play a crucial role as key components of
modern education. Through these approaches,
students not only gain mathematical knowledge and
skills but also develop the ability to:
•
Apply them in real-life situations,
•
Think logically and consistently,
•
Make independent decisions,
•
Work in teams,
•
Freely express their thoughts,
•
Solve problems with a creative approach.
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