The Role of Exercises in The Process of Forming Geometric Concepts Among Students with Intellectual Disabilities

Authors

  • Shadiyeva Navbahor Xabibullayevna Lecturer at The Department of Special Pedagogy at Jizzakh State Pedagogical University, Uzbekistan

DOI:

https://doi.org/10.55640/eijp-06-05-48

Keywords:

intellectual disability, geometric concepts, exercises

Abstract

The article examines the role of exercises in the process of forming geometric concepts among students with intellectual disabilities. Geometry is not only a branch of mathematics related to shapes, size, position and spatial relations, but also an important means of developing perception, attention, comparison, classification, visual memory, spatial orientation and practical thinking. For students with intellectual disabilities, the acquisition of geometric concepts is often complicated by difficulties in abstraction, generalization, verbal reasoning, spatial imagination and voluntary attention. Therefore, exercises become a central pedagogical tool that connects concrete experience with conceptual understanding. The article analyzes the scientific and theoretical foundations of using exercises in special mathematics education, relying on cognitive, developmental, activity-based and correctional pedagogical approaches. The study emphasizes that exercises should not be limited to mechanical repetition; they should be systematic, purposeful, visual, practical, differentiated and connected with real-life situations. The article shows that geometric exercises help students recognize shapes, compare objects, identify essential features, distinguish similar figures, use geometric vocabulary and apply knowledge in everyday activities. The results of the theoretical analysis indicate that the effectiveness of exercises depends on gradual complication, multisensory support, teacher guidance, repeated practice, corrective feedback and the emotional involvement of students. The article concludes that exercises play a formative, corrective, developmental and motivational role in teaching geometry to students with intellectual disabilities.

References

American Association on Intellectual and Developmental Disabilities. Intellectual Disability: Definition, Diagnosis, Classification, and Systems of Supports / R. L. Schalock, R. Luckasson, M. J. Tassé. — 12th ed. — Washington, DC: AAIDD, 2021. — URL: https://www.aaidd.org/intellectual-disability/definition (date of access: 28.05.2026).

American Psychiatric Association. Diagnostic and Statistical Manual of Mental Disorders: DSM-5-TR. — 5th ed., text revision. — Washington, DC: American Psychiatric Association Publishing, 2022. — 1120 p.

Vygotsky L. S. Mind in Society: The Development of Higher Psychological Processes. — Cambridge, MA: Harvard University Press, 1978. — 159 p.

Piaget J., Inhelder B. The Child’s Conception of Space. — London: Routledge & Kegan Paul, 1956. — 490 p.

Van Hiele P. M. Developing Geometric Thinking through Activities That Begin with Play // Teaching Children Mathematics. — 1999. — Vol. 5, No. 6. — P. 310–316.

Clements D. H., Battista M. T. Geometry and Spatial Reasoning // Handbook of Research on Mathematics Teaching and Learning / ed. by D. A. Grouws. — New York: Macmillan Publishing Company, 1992. — P. 420–464.

Schnepel S., Aunio P. A Systematic Review of Mathematics Interventions for Primary School Students with Intellectual Disabilities // European Journal of Special Needs Education. — 2022. — Vol. 37, No. 4. — P. 663–678. — DOI: 10.1080/08856257.2021.1943268.

Bouck E. C., Park J., Nickell B. Using the Concrete-Representational-Abstract Approach to Support Students with Intellectual Disability in Mathematics // Focus on Autism and Other Developmental Disabilities. — 2017. — Vol. 32, No. 3. — P. 193–205. — DOI: 10.1177/1088357616673566.

Browder D. M., Spooner F., Ahlgrim-Delzell L., Harris A. A., Wakeman S. Y. A Meta-Analysis on Teaching Mathematics to Students with Significant Cognitive Disabilities // Exceptional Children. — 2008. — Vol. 74, No. 4. — P. 407–432. — DOI: 10.1177/001440290807400401.

Gersten R., Chard D. J., Jayanthi M., Baker S. K., Morphy P., Flojo J. Mathematics Instruction for Students with Learning Disabilities: A Meta-Analysis of Instructional Components // Review of Educational Research. — 2009. — Vol. 79, No. 3. — P. 1202–1242. — DOI: 10.3102/0034654309334431.

National Council of Teachers of Mathematics. Principles and Standards for School Mathematics. — Reston, VA: NCTM, 2000. — 402 p.

Woodward J. Developing Automaticity in Multiplication Facts: Integrating Strategy Instruction with Timed Practice Drills // Learning Disability Quarterly. — 2006. — Vol. 29, No. 4. — P. 269–289. — DOI: 10.2307/30035554.

Kroesbergen E. H., Van Luit J. E. H. Mathematics Interventions for Children with Special Educational Needs: A Meta-Analysis // Remedial and Special Education. — 2003. — Vol. 24, No. 2. — P. 97–114. — DOI: 10.1177/07419325030240020501.

Maccini P., Gagnon J. C. Mathematics Instructional Practices and Assessment Accommodations by Secondary Special and General Educators // Exceptional Children. — 2006. — Vol. 72, No. 2. — P. 217–234. — DOI: 10.1177/0014402906072

Westwood P. Commonsense Methods for Children with Special Educational Needs. — 7th ed. — London: Routledge, 2015. — 256 p.

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Published

2026-05-31

How to Cite

Shadiyeva Navbahor Xabibullayevna. (2026). The Role of Exercises in The Process of Forming Geometric Concepts Among Students with Intellectual Disabilities. European International Journal of Pedagogics, 6(05), 227–233. https://doi.org/10.55640/eijp-06-05-48