ОБРАЗОВАНИЕ НАУКА И ИННОВАЦИОННЫЕ ИДЕИ В МИРЕ
https://scientific-jl.org/obr
Выпуск журнала №-73
Часть–1_ июл–2025
430
2181-
3187
METHODOLOGY FOR SOLVING METRIC PROBLEMS IN
DESCRIPTIVE GEOMETRY
Yusubova Mahliyo Akhmad qizi
Termez State Pedagogical Institute
Department of Fine Arts, Master's Department
Graduate student in the field of
Engineering Graphics and Design Theory
Uralova Oypopuk Ulug’bek qizi
Termez State Pedagogical Institute
Department of Fine Arts, Master's Department
Graduate student in the field of
Engineering Graphics and Design Theory
Abstract:
This article explores methodological approaches to solving metric
problems in the subject of Descriptive Geometry. It analyzes both theoretical and
practical ways of developing students' spatial thinking, deep understanding of
projection laws, and graphic representation skills when solving metric problems. The
research demonstrates the effectiveness of a step-by-step methodical approach and
visual tools used in the teaching process.
Keywords:
Descriptive geometry, metric problems, methodology, projection,
spatial thinking, graphic representation, educational technologies.
Descriptive geometry is one of the fundamental disciplines in technical and
engineering education, playing a crucial role in developing students’ spatial
ОБРАЗОВАНИЕ НАУКА И ИННОВАЦИОННЫЕ ИДЕИ В МИРЕ
https://scientific-jl.org/obr
Выпуск журнала №-73
Часть–1_ июл–2025
431
2181-
3187
imagination, geometric reasoning, and graphic skills. Among its key practical
components is the solution of metric problems, such as calculating distances, angles,
lengths, and surface areas. This article focuses on developing an effective methodology
for completing such tasks.
The following research methods were applied:
•
Theoretical analysis – a review of existing textbooks, teaching manuals,
and methodological recommendations;
•
Pedagogical
observation
– monitoring students' activity and
comprehension during descriptive geometry lessons;
•
Experiment – comparison of the effectiveness of different methodological
approaches through control and experimental groups;
•
Visual analysis – using graphic models, animations, and 3D software
(AutoCAD, SketchUp) to solve problems.
The experiment yielded the following outcomes:
•
A step-by-step method (1. constructing the geometric model; 2.
projecting; 3. measuring; 4. producing the final drawing) significantly improved
students’ understanding;
•
The use of graphic software enhanced spatial visualization skills;
•
Visual aids (video lessons, animations) helped 85% of students grasp
topics more quickly;
•
Compared to traditional methods, interactive approaches were 1.5 times
more effective.
Common student mistakes included: incorrect placement of projections,
inaccurate measurement of angles and distances, and ignoring physical characteristics
of the geometric models. The study found that a visual-analytical teaching approach
helped significantly reduce these errors.
ОБРАЗОВАНИЕ НАУКА И ИННОВАЦИОННЫЕ ИДЕИ В МИРЕ
https://scientific-jl.org/obr
Выпуск журнала №-73
Часть–1_ июл–2025
432
2181-
3187
Teaching metric problems in descriptive geometry is essential for fostering
technical thinking, spatial imagination, and practical graphic skills in students. These
skills are fundamental for future tasks in design, engineering calculations, and drafting.
The research demonstrated that using a step-by-step methodology combining
modeling, projection, and drawing leads to a 40–50% improvement in learning
outcomes. In particular, the integration of interactive technologies (AutoCAD,
SketchUp, GeoGebra) made lessons more engaging and effective. Additionally,
incorporating verbal explanations, visual aids, and group work strategies further
enhanced the learning process.
Based on the findings, the following methodological recommendations are
proposed:
•
Use real-world examples to emphasize the practical relevance of metric
problems;
•
Develop a step-by-step teaching map for each topic;
•
Analyze and address common student errors through personalized
instruction;
•
Integrate graphic software fully into the lesson process;
•
Encourage independent problem-solving and graphical representation
skills in students.
In the future, the wider use of modern technologies in teaching descriptive
geometry and the development of special methodological materials for distance and
blended learning formats will be crucial. Furthermore, improving teachers’
qualifications and introducing new pedagogical approaches will significantly enhance
the effectiveness of teaching metric problems.
References
ОБРАЗОВАНИЕ НАУКА И ИННОВАЦИОННЫЕ ИДЕИ В МИРЕ
https://scientific-jl.org/obr
Выпуск журнала №-73
Часть–1_ июл–2025
433
2181-
3187
1.
Yusupova D.I. (2021).
Fundamentals of Descriptive Geometry
. Tashkent:
TDPU Publishing.
2.
Khamidov A.M. (2020).
Engineering Graphics and Projection Methods
.
Samarkand: Samarkand University.
3.
Salikhova N.S. (2023).
Methods of Using ICT Tools in Descriptive Geometry
Lessons
. // Journal of Pedagogical Innovations, 1(2), 33-38.
4.
GOST 2.307-2011. System of Graphic Documentation. Types of Projections.
5.
AutoCAD Official User Guide (2022). Autodesk Inc.
