Araştırma Makalesi
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Profiling Number Sense in Preschool Children with Intellectual Disabilities

Yıl 2026, Cilt: 34 Sayı: 1, 18 - 28, 31.01.2026
https://doi.org/10.24106/kefdergi.1877878

Öz

Purpose: The purpose of this study is to examine the basic number skills of children with intellectual disabilities (ID) in the
preschool within the framework of number sense and to reveal their profiles according to their level of disability. Number
sense is the foundation of mathematical skills and it has an important role in academic achievement and daily life skills.
However, the existing literature does not adequately address the relationship between number skills and number sense,
particularly in the context of children with ID. This study aims to fill an important gap in terms of shaping early intervention
and teaching strategies.
Method: The sample of this study, conducted using a descriptive survey model, consists of 43 children with ID aged 36–72
months attending public kindergartens in six different provinces in the Eastern Anatolia Region in the 2023–2024 academic
year, determined by the criterion sampling method. The Number Sense Screener (NSS) developed by Jordan et al. (2012) and
adapted into Turkish by Uyanık-Aktulun (2019) and İnal-Kızıltepe (2019) were used. The NSS is an individual assessment tool
that measures early number sense components such as number recognition, counting, comparison, and basic arithmetic
operations.
Findings: The findings revealed that the number skill profiles of children with ID in the preschool differed significantly according
to the level of disability. Children with mild disabilities exhibited a stronger profile in basic number recognition and single-digit
number skills, while those with moderate disabilities struggled significantly in these areas. On the other hand, both groups had
low success profiles in complex mathematical tasks, with no significant difference observed between them. These results
indicate that basic number skill profiles are affected by disability level, but that common difficulties are experienced in higherlevel tasks.
Highlights: Deficits in executive functions such as working memory and attention negatively affect the development of
numerical skills. The inadequacy of existing teaching methods highlights the need for early, cognitive-sensitive, individualized
interventions. Mathematics education needs to be restructured using approaches that reduce cognitive load and are supported
by concrete materials. The development of numerical skills plays a critical role in both academic success and improving the
quality of life for children with ID.

Kaynakça

  • Aagten-Murphy, D., Cappagli, G., Gori, M., & Burr, D. (2015). A practical guide to studying number sense in children with intellectual disabilities. Journal of Intellectual Disability Research, 59(7), 601–616. https://doi.org/10.1111/jir.12161
  • Altindag Kumas, O., & Sardohan Yıldırım, A. E. (2024). Development of early numeracy skills in children with moderate intellectual disability. Journal of Intellectual Disabilities, 28(2), 343-358. https://doi.org/10.1177/17446295241228897
  • American Association on Intellectual and Developmental Disabilities (AAIDD). (2010). Intellectual disability: Definition, classification, and systems of supports (11th ed.). American Association on Intellectual and Developmental Disabilities.
  • Aunio, P., & Räsänen, P. (2016). Core numerical skills for learning mathematics in children aged five to eight years – A working model for educators. European Early Childhood Education Research Journal, 24(5), 684–704. https://doi.org/10.1080/1350293X.2014.996424
  • Bae, Y. S. (2017). Teaching early numeracy skills to preschool children with developmental delays using digital technology. Journal of Special Education Technology, 32(3), 149–159. https://doi.org/10.1177/0162643417716250
  • Barbieri, C. A., & Rodrigues, J. (2025). Leveraging cognitive load theory to support students with mathematics difficulty. Educational Psychologist, 60(3), 208–232. https://doi.org/10.1080/00461520.2025.2486138
  • Barrocas, R., Roesch, S., Gawrilow, C., & Moeller, K. (2020). Putting a finger on numerical development–reviewing the contributions of kindergarten finger gnosis and fine motor skills to numerical abilities. Frontiers in Psychology, 11, 509086. https://doi.org/10.3389/fpsyg.2020.01012
  • Berch, D. B. (2005). Making sense of number sense: Implications for children with mathematical disabilities. Journal of Learning Disabilities, 38(4), 333–339. https://doi.org/10.1177/00222194050380040901
  • Bender, W. N. (2012). Differentiated mathematics instruction for students with learning disabilities: New best practices for general and special educators (3rd ed.). Sage.
  • Charitaki, G., Alevriadou, A., & Soulis, S. G. (2024). Early numeracy profiles in young children with intellectual disabilities: The role of cognitive functions. Journal of Intellectual Disabilities, 28(1), 48-66. https://doi.org/10.1177/17446295221117021
  • Charitaki, G., Soulis, S. G., & Alevriadou, A. (2023). Early numeracy skills in children with intellectual disabilities between age groups 4-7 years: developmental patterns and interrelationships. International Journal of Developmental Disabilities, 71(2), 306–320. https://doi.org/10.1080/20473869.2023.2232555
  • Chen, W. (2024). Problem-solving skills, memory power, and early childhood mathematics: Understanding the significance of early childhood mathematics in an individual’s life. Journal of the Knowledge Economy,16,1-25. https://doi.org/10.1007/s13132-023-01557-6
  • Chirimbana, M., Makaka, B., & Hilongwa, L. (2024). Understanding the factors and challenges in developing number sense in early childhood education: A case study of the Oluno circuit. Open Journal of Social Sciences, 12(2), 168-188. https://doi.org/10.4236/jss.2024.122011
  • Garon-Carrier, G., Boivin, M., Lemelin, J.-P., Kovas, Y., Parent, S., Séguin, J. R., Vitaro, F., Tremblay, R. E., & Dionne, G. (2018). Early developmental trajectories of number knowledge and math achievement from 4 to 10 years: Low-persistent profile and early-life predictors. Journal of School Psychology, 68, 84-98. https://doi.org/10.1016/j.jsp.2018.02.004
  • Clements, D. H., & Sarama, J. (2009). Learning and teaching early math: The learning trajectories approach. Routledge.
  • Clements, D. H., Sarama, J., & Germeroth, C. (2016). Learning executive function and early mathematics: Directions of causal relations. Early Childhood Research Quarterly, 36, 79-90. https://doi.org/10.1016/j.ecresq.2015.12.009
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  • Edwards, C. M., Rule, A. C., & Boody, R. M. (2017). Middle school students’ mathematics knowledge retention: Online or face-to-face environments. Journal of Educational Technology & Society, 20(4), 1–10.
  • Garin, O. (2023). Floor effect. In Encyclopedia of quality of life and well-being research (pp. 2530-2530). Springer, Cham.
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Okul Öncesi Dönemdeki Zihinsel Engelli Çocukların Sayı Hissi Profili

Yıl 2026, Cilt: 34 Sayı: 1, 18 - 28, 31.01.2026
https://doi.org/10.24106/kefdergi.1877878

Öz

Amaç: Bu araştırmanın amacı, okul öncesi dönemde zihinsel engelli çocukların temel sayı becerilerini sayı hissi çerçevesinde
inceleyerek, engel düzeyine göre profilleri ortaya çıkarmaktır. Sayı hissi, matematiksel becerilerin temelini oluşturmanın yanı
sıra akademik başarı ve günlük yaşam becerileri açısından belirleyici bir role sahiptir. Ancak mevcut literatürde, sayı becerileri
ile sayı hissi arasındaki ilişkinin özellikle zihinsel engelli çocuklar bağlamında yeterince ele alınmadığı görülmektedir. Bu çalışma,
erken müdahale ve öğretim stratejilerinin şekillendirilmesi açısından önemli bir boşluğu doldurmayı amaçlamaktadır.
Yöntem: Betimsel tarama modeli kullanılarak yürütülen bu araştırmanın örneklemini, 2023–2024 eğitim-öğretim yılında Doğu
Anadolu Bölgesi’nde yer alan 6 farklı ildeki resmi ve özel anaokullarına devam eden ölçüt örnekleme yöntemi ile belirlenen 36–
72 ay aralığında 43 zihinsel engelli öğrenci oluşturmaktadır. Jordan ve diğerleri (2012) tarafından geliştirilen ve Türkçeye UyanıkAktulun (2019) ile İnal-Kızıltepe (2019) tarafından uyarlanan Number Sense Screener (NSS) veri toplama aracı kullanılmıştır.
NSS; sayı tanıma, sayma, büyüklük karşılaştırma ve temel aritmetik işlemler gibi erken sayı hissi bileşenlerini ölçen ve bireysel
olarak uygulanan bir değerlendirme aracıdır.
Bulgular: Bulgular, okul öncesi dönemdeki zihinsel engelli çocukların sayı becerisi profillerinin engel düzeyine göre anlamlı
şekilde farklılaştığını ortaya koymuştur. Hafif düzeyde engeli olan çocuklar, temel sayı tanıma ve tek basamaklı işlemlerde daha
güçlü bir profil sergilerken, orta düzeydekiler bu alanlarda belirgin şekilde zorlanmıştır. Öte yandan, karmaşık matematik
görevlerinde her iki grubun da başarı profili düşük bulunmuş, aralarında anlamlı fark gözlenmemiştir. Bu sonuçlar, temel sayı
becerisi profillerinin engel düzeyinden etkilendiğini, ancak üst düzey görevlerde ortak güçlükler yaşandığını göstermektedir.
Önemli Vurgular: Çalışma belleği ve dikkat gibi yürütücü işlevlerdeki zayıflıklar, sayısal beceri gelişimini olumsuz etkilemektedir.
Mevcut öğretim yöntemlerinin yetersizliği, erken dönemde bilişsel süreçlere duyarlı, bireyselleştirilmiş müdahalelerin
gerekliliğini ortaya koymaktadır. Matematik eğitimi, bilişsel yükü azaltan ve somut materyallerle desteklenen yaklaşımlarla
yeniden yapılandırılmalıdır. Sayı becerilerinin geliştirilmesi hem akademik başarının hem de zihinsel engelli çocukların yaşam
kalitesinin artırılmasında kritik bir role sahiptir.

Kaynakça

  • Aagten-Murphy, D., Cappagli, G., Gori, M., & Burr, D. (2015). A practical guide to studying number sense in children with intellectual disabilities. Journal of Intellectual Disability Research, 59(7), 601–616. https://doi.org/10.1111/jir.12161
  • Altindag Kumas, O., & Sardohan Yıldırım, A. E. (2024). Development of early numeracy skills in children with moderate intellectual disability. Journal of Intellectual Disabilities, 28(2), 343-358. https://doi.org/10.1177/17446295241228897
  • American Association on Intellectual and Developmental Disabilities (AAIDD). (2010). Intellectual disability: Definition, classification, and systems of supports (11th ed.). American Association on Intellectual and Developmental Disabilities.
  • Aunio, P., & Räsänen, P. (2016). Core numerical skills for learning mathematics in children aged five to eight years – A working model for educators. European Early Childhood Education Research Journal, 24(5), 684–704. https://doi.org/10.1080/1350293X.2014.996424
  • Bae, Y. S. (2017). Teaching early numeracy skills to preschool children with developmental delays using digital technology. Journal of Special Education Technology, 32(3), 149–159. https://doi.org/10.1177/0162643417716250
  • Barbieri, C. A., & Rodrigues, J. (2025). Leveraging cognitive load theory to support students with mathematics difficulty. Educational Psychologist, 60(3), 208–232. https://doi.org/10.1080/00461520.2025.2486138
  • Barrocas, R., Roesch, S., Gawrilow, C., & Moeller, K. (2020). Putting a finger on numerical development–reviewing the contributions of kindergarten finger gnosis and fine motor skills to numerical abilities. Frontiers in Psychology, 11, 509086. https://doi.org/10.3389/fpsyg.2020.01012
  • Berch, D. B. (2005). Making sense of number sense: Implications for children with mathematical disabilities. Journal of Learning Disabilities, 38(4), 333–339. https://doi.org/10.1177/00222194050380040901
  • Bender, W. N. (2012). Differentiated mathematics instruction for students with learning disabilities: New best practices for general and special educators (3rd ed.). Sage.
  • Charitaki, G., Alevriadou, A., & Soulis, S. G. (2024). Early numeracy profiles in young children with intellectual disabilities: The role of cognitive functions. Journal of Intellectual Disabilities, 28(1), 48-66. https://doi.org/10.1177/17446295221117021
  • Charitaki, G., Soulis, S. G., & Alevriadou, A. (2023). Early numeracy skills in children with intellectual disabilities between age groups 4-7 years: developmental patterns and interrelationships. International Journal of Developmental Disabilities, 71(2), 306–320. https://doi.org/10.1080/20473869.2023.2232555
  • Chen, W. (2024). Problem-solving skills, memory power, and early childhood mathematics: Understanding the significance of early childhood mathematics in an individual’s life. Journal of the Knowledge Economy,16,1-25. https://doi.org/10.1007/s13132-023-01557-6
  • Chirimbana, M., Makaka, B., & Hilongwa, L. (2024). Understanding the factors and challenges in developing number sense in early childhood education: A case study of the Oluno circuit. Open Journal of Social Sciences, 12(2), 168-188. https://doi.org/10.4236/jss.2024.122011
  • Garon-Carrier, G., Boivin, M., Lemelin, J.-P., Kovas, Y., Parent, S., Séguin, J. R., Vitaro, F., Tremblay, R. E., & Dionne, G. (2018). Early developmental trajectories of number knowledge and math achievement from 4 to 10 years: Low-persistent profile and early-life predictors. Journal of School Psychology, 68, 84-98. https://doi.org/10.1016/j.jsp.2018.02.004
  • Clements, D. H., & Sarama, J. (2009). Learning and teaching early math: The learning trajectories approach. Routledge.
  • Clements, D. H., Sarama, J., & Germeroth, C. (2016). Learning executive function and early mathematics: Directions of causal relations. Early Childhood Research Quarterly, 36, 79-90. https://doi.org/10.1016/j.ecresq.2015.12.009
  • Devlin, K. (2021). The math instinct: Why you're a mathematical genius (along with lobsters, birds, cats, and dogs). Basic Books. Duncan, G. J., & Magnuson, K. (2011). The nature and impact of early achievement skills, attention skills, and behavior problems. In Greg J. Duncan and Richard J. Murnane (Ed.) Whither opportunity: Rising inequality, schools, and children's life chances (pp.47-69). Russell Sage
  • Edwards, C. M., Rule, A. C., & Boody, R. M. (2017). Middle school students’ mathematics knowledge retention: Online or face-to-face environments. Journal of Educational Technology & Society, 20(4), 1–10.
  • Garin, O. (2023). Floor effect. In Encyclopedia of quality of life and well-being research (pp. 2530-2530). Springer, Cham.
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  • Ingelin, B. L., Intepe-Tingir, S., & Hammons, N. C. (2023). Increasing the number sense understanding of preschool students with ASD. Topics in Early Childhood Special Education, 43(2), 116-128. https://doi.org/10.1177/02711214211006190
  • Jimenez, B. A., & Besaw, J. (2020). Building early numeracy through virtual manipulatives for students with intellectual disability and autism. Education and Training in Autism and Developmental Disabilities, 55(1), 28-44.
  • Jordan, N. C., & Levine, S. C. (2009). Socioeconomic variation, number competence, and mathematics learning difficulties in young children. Developmental Disabilities Research Reviews, 15(1), 60–68. https://doi.org/10.1002/ddrr.46
  • Jordan, N. C., Glutting, J. J., & Dyson, N. (2012). Number sense screener™(NSS™) User’s guide, K-1, research edition. Brookes Publishing. Jordan, N. C., Kaplan, D., Locuniak, M. N., & Ramineni, C. (2007). Predicting first–grade math achievement from developmental number sense trajectories. Learning Disabilities Research & Practice, 22(1), 36-46. https://doi.org/10.1111/j.1540-5826.2007.00229.x
  • Kamaruzaman, M. F., Othman, M., & Yusof, N. (2016). Early intervention on number sense for children with learning disabilities: A Malaysian case study. Asian Social Science, 12(10), 174–180. https://doi.org/10.5539/ass.v12n10p174
  • Kearns, J. F., Towles-Reeves, E., Kleinert, H. L., Kleinert, J. O., & Kleine-Kracht Thomas, M. (2011). Characteristics of and implications for students participating in alternate assessments based on alternate academic achievement standards. The Journal of Special Education, 45, 3–14. https://doi.org/10.1177/0022466909344223
  • Kivirähk-Koor, T., & Kiive, E. (2025). Differences in cognitive and mathematical skills of students with a mathematical learning disability and those with low achievement in mathematics: A systematic literature review. Education Sciences, 15(3), 361. https://doi.org/10.3390/educsci15030361
  • Kolkman, M. E., Kroesbergen, E. H., & Leseman, P. P. (2013). Early numerical development and the role of non-symbolic and symbolic skills. Learning and Instruction, 25, 95-103. https://doi.org/10.1016/j.learninstruc.2012.12.001
  • Laski, E. V., & Siegler, R. S. (2007). Learning fraction magnitudes: Immediate and long-term effects of different learning opportunities. Child Development, 78(3), 883–900.
  • Macdonald K., Milne N., Orr R. & Pope R. (2018). Relationships between motor proficiency and academic performance in mathematics and reading in school-aged children and adolescents: A systematic review. International Journal of Environmental Research and Public Health, 15(8), 1603. https://doi.org/10.3390/ijerph15081603
  • Martin, R. B., Cirino, P. T., Sharp, C., & Barnes, M. (2014). Number and counting skills in kindergarten as predictors of grade 1 mathematical skills. Learning and Individual Differences, 34, 12-23. https://doi.org/10.1016/j.lindif.2014.05.006
  • Matson, J. L., Rieske, R. D., & Fodstad, J. C. (2012). Diagnosing intellectual disability: Continuity from DSM-IV to DSM-5. Research in Developmental Disabilities, 33(5), 1553–1559. https://doi.org/10.1016/j.ridd.2012.04.005
  • Mazzocco, M. M. M., & Thompson, R. E. (2005). Preschoolers’ precision of the approximate number system predicts later school mathematics performance. PLoS ONE, 4(9), e6088.
  • National Assessment of Educational Progress (NAEP) (2019). NAEP report card: 2019 NAEP mathematics assessment. https://www.nationsreportcard.gov/highlights/mathematics/2019/
  • National Research Council. (2009). Mathematics learning in early childhood: Paths toward excellence and equity. National Academies Press.
  • Olkun, S., Can, D., & Yeşilpınar Uyar, M. (2017). The relationship between number sense and mathematics achievement among primary school students. Education and Science, 42(191), 1–17. https://doi.org/10.15390/EB.2017.6776
  • Raghubar, K. P., & Barnes, M. A. (2017). Early numeracy skills in preschool-aged children: a review of neurocognitive findings and implications for assessment and intervention. The Clinical Neuropsychologist, 31(2), 329–351. https://doi.org/10.1080/13854046.2016.1259387
  • Reys, R., Reys, B., Emanuelsson, G., Johansson, B., McIntosh, A., & Yang, D. C. (1999). Assessing number sense of students in Australia, Sweden, Taiwan, and the United States. School Science and Mathematics, 99(2), 61-70. https://doi.org/10.1111/j.1949-8594.1999.tb17449.x
  • Rinne, L., & Mazzocco, M. M. M. (2014). Language profiles in mathematical disabilities vs. reading disability. Journal of Learning Disabilities, 47(1), 35–51.
  • Root, J. R., & Browder, D. M. (2019). Practices for teaching mathematics to students with moderate and severe intellectual disability: A review of the literature. Education and Training in Autism and Developmental Disabilities, 54(1), 3–17.
  • Sarama, J., Lange, A. A., Clements, D. H., & Wolfe, C. B. (2012). The impacts of an early mathematics curriculum on oral language and literacy. Early Childhood Research Quarterly, 27(3), 489-502. https://doi.org/10.1016/j.ecresq.2011.12.002
  • Scerif, G., Sučević, J., Andrews, H., Blakey, E., Gattas, S. U., Godfrey, A., Hawes, Z., Howard, S. J., Kent, L., Merkley, R., O’Connor, R., O’Reilly, F., & Simms, V. (2025). Enhancing children’s numeracy and executive functions via their explicit integration. npj Science of Learning, 10(8). https://doi.org/10.1038/s41539-025-00302-9
  • Schalock, R. L., Borthwick-Duffy, S. A., Bradley, V. J., Buntinx, W. H. E., Coulter, D. L., Craig, E. M., Gomez, S. C., Lachapelle, Y., Luckasson, R., Reeve, A., Shogren, K. A., Snell, M. E., Spreat, S., Tassé, M. J., Thompson, J. R., Verdugo-Alonso, M. A., Wehmeyer, M. L., & Yeager, M. H. (2010). Intellectual disability: Definition, classification, and systems of supports (11th ed.). American Association on Intellectual and Developmental Disabilities.
  • Schnepel S., Krahenmann H., Sermier Dessemontet R. & Opitz E. M. (2020). The mathematical progress of students with an intellectual disability in inclusive classrooms: results of a longitudinal study. Mathematics Education Research Journal, 32(1), 103-119. https://doi.org/10.1007/s13394-019-00295-w
  • Sermier Dessemontet R., Moser Opitz E. and Schnepel S. (2020). The profiles and patterns of progress in numerical skills of elementary school students with mild and moderate intellectual disabilities. International Journal of Disability, Development and Education, 67(4), 409-423. https://doi.org/10.1080/1034912X.2019.1608915
  • Shumway, J. F. (2016). Number sense routines: Building numerical literacy every day in grades K–3. Stenhouse Publishers. Siegler, R. S., & Booth, J. L. (2004). Development of numerical estimation in young children. Child Development, 75(2), 428–444. https://doi.org/10.1111/j.1467-8624.2004.00684.x
  • Sood, S., & Mackey, M. (2015). Examining the effects of number sense instruction on mathematics competence of kindergarten students. International Journal of Humanities Social Sciences and Education, 2(2), 2349. http://doi.org/10.5430/wje.v4n5p58
  • Spooner F., Root J. R., Saunders A. F. and Browder D. M. (2018). An updated evidence-based practice review on teaching mathematics to students with moderate and severe develop intellectual disabilities. Remedial and Special Education, 40(3), 150–165. https://doi.org/10.1177/0741932517751055
  • Şata, M. (2020). Nicel araştırma yaklaşımları [Quantitative research approaches]. In E. Oğuz (Ed.), Eğitimde araştırma yöntemleri [Research methods in education] (pp. 81-83). Eğiten Kitap.
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  • Uras, M. C., Şata, M., Kaya, A., Ziapour, A., & Yıldırım, M. (2025). A bibliometric study on early childhood autism research. Psihologija, (00), 18-18. https://doi.org/10.2298/PSI231229018U
  • Uras, M. C., Soylu, Y., & Karakuş, D. (2024). Okul öncesi dönemdeki otizm spektrum bozukluğu olan çocukların erken çocukluk dönemi sayı becerilerinin sayı hissi bağlamında incelenmesi [Investigation of early childhood number skills of preschool children with autism spectrum disorder in the context of number sense]. İnönü Üniversitesi Eğitim Fakültesi Dergisi, 25(1), 50-70. https://doi.org/10.17679/inuefd.1371530
  • Uyanik- Aktulun, Ö. (2019). Validity and reliability study of Turkish version of number sense screener for children aged 72-83 months. Journal of Education and Training Studies, 7(2), 64-75. https://doi.org/10.11114/jets.v7i2.3935
  • Van der Ven, S. H., Kroesbergen, E. H., Boom, J., & Leseman, P. P. (2012). The development of executive functions and early mathematics: A dynamic relationship. British Journal of Educational Psychology, 82(1), 100-119. https://doi.org/10.1111/j.2044-8279.2011.02035.x
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  • Westling, D. L., & Fox, L. (2015). Teaching students with severe disabilities (4th ed.). Pearson.
  • Yıldız, E., Koca, Ö., & Elaldı, Ş. (2025). Effectiveness of early intervention programs in developing early mathematical skills: A metaanalysis. Journal of Theoretical Educational Sciences, 18(1), 54-80. https://doi.org/10.30831/akukeg.1462376
Toplam 65 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Okul Öncesi Eğitim
Bölüm Araştırma Makalesi
Yazarlar

Muhammed Celal Uras

Selahattin Semiz

Mehmet Şata

Yasin Soylu

Gönderilme Tarihi 9 Temmuz 2025
Kabul Tarihi 6 Ekim 2025
Yayımlanma Tarihi 31 Ocak 2026
Yayımlandığı Sayı Yıl 2026 Cilt: 34 Sayı: 1

Kaynak Göster

APA Uras, M. C., Semiz, S., Şata, M., & Soylu, Y. (2026). Profiling Number Sense in Preschool Children with Intellectual Disabilities. Kastamonu Education Journal, 34(1), 18-28. https://doi.org/10.24106/kefdergi.1877878

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