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Journals / International Journal of Educational Studies in Mathematics / 2026 / Cilt: 13 Sayı: 2

Examination of Number Sense Skills of Primary School 1st and 4th Grade Students

Ersin Palabıyık(Munzur Üniversitesi)0000-0002-4269-902X
Neşe Işık Tertemiz(GAZİ ÜNİVERSİTESİ, GAZİ EĞİTİM FAKÜLTESİ)0000-0001-7033-7192
Pages
100–126
Publication Date
2026-07-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

As a result of the analyzes made, it was determined that primary school students used rule- and operation-based solutions more in solving questions, and it was seen that they resorted to number-sense-based solutions less.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this study is to determine the number sense skills of primary school 1st and 4th grade students.
📊
Key Findings & Data:The research was carried out in a total of 9 primary schools in the city center of Tunceli in the 2020-2021 academic year.
💡
Conclusion & Impact:As a result of the analyzes made, it was determined that primary school students used rule- and operation-based solutions more in solving questions, and it was seen that they resorted to number-sense-based solutions less.
🔬Design:Survey & Empirical Study
📍Scope:2020-2021 Verileri
⚙️Variables:mathematics · number sense · primary school students

Abstract

The aim of this study is to determine the number sense skills of primary school 1st and 4th grade students. For this purpose, survey design, which is one of the quantitative research methods, was used in the study. The research was carried out in a total of 9 primary schools in the city center of Tunceli in the 2020-2021 academic year. The study population of the research consists of a total of 305 students, 148 1st grade and 157 4th grade students studying in these schools. Data collection tools used in the study are "Primary School Number Sense Tests" developed by researchers. These tests have been developed for each grade level of primary school. In the analysis of the data, the items in the number sense test; The correct answer obtained by using number sense skills, the correct answer obtained by using rule and operation-based methods, the wrong answer obtained by using number sense skills, the wrong answer obtained by using rule-operation-based solutions, and the blank answer were coded. As a result of the analyzes made, it was determined that primary school students used rule- and operation-based solutions more in solving questions, and it was seen that they resorted to number-sense-based solutions less.

Özet

The aim of this study is to determine the number sense skills of primary school 1st and 4th grade students. For this purpose, survey design, which is one of the quantitative research methods, was used in the study. The research was carried out in a total of 9 primary schools in the city center of Tunceli in the 2020-2021 academic year. The study population of the research consists of a total of 305 students, 148 1st grade and 157 4th grade students studying in these schools. Data collection tools used in the study are "Primary School Number Sense Tests" developed by researchers. These tests have been developed for each grade level of primary school. In the analysis of the data, the items in the number sense test; The correct answer obtained by using number sense skills, the correct answer obtained by using rule and operation-based methods, the wrong answer obtained by using number sense skills, the wrong answer obtained by using rule-operation-based solutions, and the blank answer were coded. As a result of the analyzes made, it was determined that primary school students used rule- and operation-based solutions more in solving questions, and it was seen that they resorted to number-sense-based solutions less.

🔖

Cite This Article

Palabıyık, E., Tertemiz, N. I. (2026). Examination of Number Sense Skills of Primary School 1st and 4th Grade Students. International Journal of Educational Studies in Mathematics, Cilt: 13 Sayı: 2, 100–126. https://doi.org/10.17278/ijesim.1911762

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References (61)

  1. Akkaya, R. (2015). An investigation into the number sense performance of secondary school students in Turkey. Journal of Education and Training Studies, 4(2), 113-123.
  2. Alsawaie, O. N. (2012). Number sense-based strategies used by high-achieving sixth grade students who experienced reform textbooks. International Journal of Science and Mathematics Education, 10(5), 1071-1097.
  3. Anghileri, J. (2006). Teaching number sense (2 ed.). London: Continuum International.
  4. Baroody, J. A. (2004). The developmenttal bases for early childhood number and operations standarts. Engaging Young Children in Mathematics, D. H. Clements & J Sarama (Ed.). Lawrance Erlbaum Associates, Mahway, NJ.
  5. Baykul, Y. (2016). İlköğretimde matematik öğretimi. Ankara: Pegem.
  6. Bayram, G., & Duatepe Paksu, A. (2014). 8.sınıf öğrencilerinin üslü ifadelere ilişkin sayı duyuları ve başarıları arasındaki ilişki. Batı Anadolu Eğitim Bilimleri Dergisi, 5(9), 47-70.
  7. Bütüner, S. Ö. (2018). Comparing the use of number sense strategies based on student achievement levels. International Journal of Mathematical Education in Science and Technology, 49(6), 824-855.
  8. Büyüköztürk, Ş., Kılıç Çakmak, E., Akgün, Ö. E., Karadeniz, Ş., & Demirel, F. (2014). Bilimsel araştırma yöntemleri. Ankara: Pegem.
  9. Can, D. (2019). İlkokul dördüncü sınıf öğrencilerinin sayı duyusu performansının bazı değişkenler açısından incelenmesi. Elementary Education Online, 18(4), 1751-1765.
  10. Cheung, K. L., & Yang, D. C. (2018). Examining the differences of Hong Kong and Taiwan students’ performance on the number sense three-tier test. Eurasia Journal of Mathematics, Science and Technology Education, 14(7), 3329-3345.
  11. Cheung, K. L., & Yang, D. C. (2020). Performance of sixth graders in Hong Kong on a number sense three-tier test. Educational Studies, 46(1), 39-55.
  12. Çekirdekçi, S. (2015). İlkokul 4. sınıf öğrencileri için sayı hissi testinin geliştirilerek öğrencilerin sayı hissinin incelenmesi. Doktora Tezi, Marmara Üniversitesi Eğitim Bilimleri Enstitüsü, İstanbul.
  13. Facun, R. D., & Nool, N. R. (2012). Assessing the number sense of grade 6 pupils. International Proceedings of Economics Development & Research, 30, 297-301.
  14. Fraenkel, J. K., & Wallen, N. E. (1996). How to design and evaluate research in education (third edition). New York: McGraw-Hill, Inc.
  15. Gay, A. S., & Aichele, D. B. (1997). Middle school students' understanding of number sense related to percent. School Science and Mathematics, 97(1), 27-36.
  16. Griffin, S. (2004). Building number sense with number worlds: a mathematics program for young children. Early Childhood Research Quarterly, 19(1), 173-180.
  17. Günkaya, B. (2018). 8. sınıf öğrencilerinin sayı hissi ile uzamsal yetenekleri arasındaki ilişkinin incelenmesi. Yüksek Lisans Tezi, Dokuz Eylül Üniversitesi Eğitim Bilimleri Enstitüsü, İzmir.
  18. Gürefe, N., Öncül, C., & Es, H. (2017). Investigation number sense test achievements of middle school students according to different variables. American Journal of Educational Research, 5(9), 1004-1008.
  19. Harç, S. (2010). 6. sınıf öğrencilerinin sayı duygusu kavramı açısından mevcut durumlarının analizi. Yüksek Lisans Tezi, Marmara Üniversitesi Eğitim Bilimleri Enstitüsü, İstanbul.
  20. İymen, E. (2012). 8. sınıf öğrencilerinin üslü ifadeler ile ilgili sayı duyularının sayı duyusu bileşenleri bakımından incelenmesi. Yüksek Lisans Tezi, Pamukkale Üniversitesi Fen Bilimleri Enstitüsü, Denizli.
  21. İymen, E., & Duatepe-Paksu, A. (2015). Analysis of 8th grade students' number sense related to the exponents in terms of number sense components. Education & Science/Egitim ve Bilim, 40(177), 109-125.
  22. Kayhan Altay, M. (2010). İlköğretim ikinci kademe öğrencilerinin sayı duyularının; sınıf düzeyine, cinsiyete ve sayı duyusu bileşenlerine göre incelenmesi. Doktora Tezi, Hacettepe Üniversitesi Sosyal Bilimler Enstitüsü, Ankara.
  23. Korb, K. A. (2009). Measuring number sense with Nigerian Primary School Children from low and medium ses backgrounds. SRCD 2009 Biennial Meeting. Denver, Colorado.
  24. Kyaw, A. M. M., & Thein, N. N. (2018). A study of the relationship between the number sense and problem solving skills in mathematics of middle school students. J. Myanmar Academic Art Science, 16(9), 435- 464.
  25. Lemonidis, C., & Kaiafa, I. (2014). Fifth and sixth grade students’ number sense in rational numbers and its relation with problem solving ability. Journal of Educational Research, 1, 61-74.
  26. Li, M. N. F., & Yang, D. C. (2010). Development and validation of a computer‐administered number sense scale for fifth‐grade children in Taiwan. School Science and Mathematics, 110(4), 220-230.
  27. Lin, Y. C., Yang, D. C., & Li, M. N. (2016). Diagnosing students’ misconceptions in number sense via a web-based two-tier test. Eurasia Journal of Mathematics, Science and Technology Education, 12(1), 41-55.
  28. Marga, S. A., Kusmayadi, T. A., & Fitriana, L. (2020). Exploring students mental computing based on number sense at 7th grade junior high school in ponorogo. Journal of Physics: Conference Series, 1539(1), 1-9.
  29. Markovits, Z., & Sowder, J. (1994). Developing number sense: An intervention study in grade 7. Journal for Research in Mathematics Education, 25(1), 4-29.
  30. McIntosh, A., Reys, B. J., & Reys, R. E. (1992). A proposed framework for examining basic number sense. For the learning of mathematics, 12(3), 2-44.
  31. Mohamed, M., & Johnny, J. (2010). Investigating number sense among students. Procedia Social and Behavioral Sciences, 8(3), 317-324.
  32. National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
  33. Nelson, G. (2007). Math at their own pace. Redloaf Press. USA.
  34. Olkun, S., & Toluk Uçar, Z. (2018). İlköğretimde etkinlik temelli matematik öğretimi. Ankara: Genç Kalemler.
  35. Olkun, S., Çelik, E., & Sönmez, M. T. (2014). İlköğretim birinci sınıf Türk öğrencilerinde sayma ilkelerinin gelişimi. Başkent University Journal of Education, 1(2), 115-125.
  36. Öztürk, M., Durmaz, B., & Can, D. (2019). Sayı konuşmalarının diskalkulik ortaokul öğrencilerinin sayı duyularına etkisi. Kastamonu Eğitim Dergisi, 27(6), 2467-2480.
  37. Palabıyık, E. (2022). Okul öncesi ve ilkokul öğrencilerinin sayı hissi becerilerinin incelenmesi. Doktora Tezi, Gazi Üniversitesi Eğitim Bilimleri Enstitüsü, Ankara.
  38. Reys, R., Reys, B., McIntosh, A., Emanuelsson, G., Johansson, B., & 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.
  39. Ruter, K. (2015). Improving number sense using number talks. Master’s Thesis, Dordt University Insitute of Educationa Sciences, Sioux Center IA.
  40. Sarı, M. H., & Olkun S. (2021). The relationships among number line estimations mathematics achievement and place value understanding. Journal of Education and Future, 19, 37–47.
  41. Sevgi, S., & Alpaslan, N. A. (2020). Ortaokul öğrencilerinin matematiğe yönelik duyuşsal giriş özellikleri ile sayı duyusuna yönelik öz yeterliklerinin incelenmesi. Turkish Journal of Educational Studies, 7(2), 170-193.
  42. Singh, P., Rahman, N. A., Ramly, M. A., & Hoon, T. S. (2019). From nonsense to number sense: Enumeration of numbers in math classroom learning. The European Journal of Social & Behavioural Sciences, 25(2), 2933-2947.
  43. Stock, P., Desoete, A., & Roeyers, H. (2009). Mastery of the counting principles in toddlers: A crucial step in the development of budding arithmetic abilities?. Learning and Individual Differences, 19(4), 419-422.
  44. Şengül, S., & Gülbağcı, H. (2012). Evaluation of number sense on the subject of decimal numbers of the secondary stage students in Turkey. International Online Journal of Educational Sciences, 4(2), 296-314.
  45. Takır, A. (2016). 6. 7. ve 8. sınıf öğrencilerinin sayı duyusu becerilerinin bazı değişkenler açısından incelenmesi. Dicle Üniversitesi Ziya Gökalp Eğitim Fakültesi Dergisi, 29, 309-323.
  46. Tertemiz, N. I. (2017). Öğrenme güçlüğü destek seti matematik öğretiminde stratejiler-4. (Ed. E.Rüya Özmen). Ankara: Eğiten.
  47. Ulusoy, Ç. A. (2020). Sayı duyusu temelli öğretimin altıncı sınıf öğrencilerinin özyeterliklerine ve performanslarına etkisi. Eğitim ve Bilim, 45(202), 417-439.
  48. Yang, D. C. (2005). Number sense strategies used by 6th grade students in Taiwan. Educational Studies, 31(3), 317-333.
  49. Yang, D. C. (2018). Methods used by fourth graders when responding to number sense related questions. American Journal of Education and Learning, 3(2), 1-13.
  50. Yang, D. C. (2019). Development of a three-tier number sense test for fifth-grade students. Educational Studies in Mathematics, 101(3), 405-424.
  51. Yang, D. C., & Li, M. F. (2008). An investigation of 3rd grade Taiwanese students’ performance in number sense. Educational Studies, 34(5), 443-455.
  52. Yang, D. C., & Lin, Y. C. (2015). Assessing 10-to 11-year-old children’s performance and misconceptions in number sense using a four-tier diagnostic test. Educational Research, 57(4), 368-388.
  53. Yang, D. C., & Sianturi, I. A. J. (2019). Assessing students' conceptual understanding using an online three‐tier diagnostic test. Journal of Computer Assisted Learning, 35(5), 678-689.
  54. Yang, D. C., & Sianturi, I. A. J. (2020). Sixth grade students’ performance, misconception, and confidence on a three-tier number sense test. International Journal of Science and Mathematics Education, 1-21.
  55. Yang, D. C., Li, M., & Li, W. J. (2008). Development of a computerized number sense scale for 3rd graders: Reliability and validity analysis. International Electronic Journal of Mathematics Education, 3(2), 110-124.
  56. Yang, D.C., Li, M.N., & Lin, C.I. (2008). A study of the performance of 5th graders in number sense and its relatıonshıp to achievement in mathematıcs. International Journal of Science and Mathematics Education, 6 (4), 789-807.
  57. Yapıcı, A. (2013). 5, 6 ve 7. sınıf öğrencilerinin yüzdeler konusunda sayı duyularının incelenmesi. Yüksek Lisans Tezi, Hacettepe Üniversitesi Eğitim Bilimleri Enstitüsü, Ankara.
  58. Yapıcı, A., & Altay, M. K. (2017). An investigation of middle school students’ number sense regarding the percent. Abant İzzet Baysal Üniversitesi Eğitim Fakültesi Dergisi, 17(4), 2221-2243.
  59. Yarar, S. H., Es, H., & Gürefe, N. (2018, Eylül). Ortaokul öğrencilerinin sayı duyusundaki başarısı ve özyeterliği. V. Uluslararası Ifs ve Çağdaş Matematik Konferansı’nda sunulmuş bildiri, Kahramanmaraş Sütçü İmam Üniversitesi, Kahramanmaraş.
  60. Yenilmez, K., & Yıldız, Ş. (2018). 7.sınıf öğrencilerinin rasyonel sayılar konusunda kullandıkları sayı duyusu stratejilerinin incelenmesi. Kuramsal Eğitimbilim Dergisi, 11(3), 457-485.
  61. Young-Loveridge, J.M. (2004). Effects on early numeracy of a program using number boks and games, Early Childhood Research Quarterly, 19(1), 82-98.