EXAMINING NUMBER SENSE SKILLS OF KINDERGARTEN CHILDREN

Yıl 2024, Cilt: 13 Sayı: 3, 185 - 199, 30.09.2024

Ersin Palabıyık , Neşe Işık Tertemiz

https://doi.org/10.55020/iojpe.1510531

Öz

The aim of this study is to determine the number sense skills of preschool (Kindergarten) children. In the study, survey design, one of the quantitative research methods, was used. The study group consists of a total of 114 children attending all the kindergartens (5 kindergartens) in the city center of Tunceli in the 2020-2021 school year. The data collection tool used in the study is the "Preschool Number Sense Test" developed by the researchers. In the analysis of the data, the correct answers obtained by using number sense skills, the correct answers obtained by using rule and operation-based methods, the false answers obtained by using number sense skills, the false answers obtained by using rule-operation-based methods and the questions left unanswered were considered. As a result of the analysis made, it was determined that preschool students used rule- and operation-based methods more in problem-solving when dealing with questions, and it was seen that they used number-sense-based methods less frequently.

Anahtar Kelimeler

Number sense, number sense test, kindergarten children.

Etik Beyan

This study is produced from the first author's doctoral thesis completed under the supervision of the second author. The study has undergone appropriate ethics protocol. The author(s) acted in accordance with the ethical rules in all the parts of the study such as data collection and there is no conflict of interest between the authors. This study was ethically approved by the Gazi University Ethics Commission's decision dated 07 April 2020 and numbered 91610558-302.08.01. Informed consent was obtained from the participants. No funding was received for the conduct of this study. The ethical approval for this research was obtained from the Ethics Committee of the Gazi University Rectorate on 07.04.2020 with the decision number 91610558-302.08.01. The authors of the study acted in accordance with ethical rules in all processes of the research. There are no individuals or financial relationships that could be perceived as potential conflicts of interest related to this study.

Kaynakça

• 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.
• 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.
• Anghileri, J. (2006). Teaching number sense (2 ed.). London: Continuum International.
• Aunio, P., Niemivirta, M., Hautamaki, J., Luit, V., Shi, J., & Zhang, M. (2006). Young children’s number sense in China and Finland. Scandinavian Journal of Educational Research, 50(5), 483-502.
• Baroody, A. J., Lai, M., & Mix, K.S. (2006). The development of young children’s early number and operation sense and its implications for early childhood education. In B. Spodek .6 O.N. Saracho (Eds.), Handbook of research on the education of young children (2nd ed., pp. 187-221). Mahwah, NJ: Erlbaum.
• Bayram, G., & Duatepe Paksu, A. (2014). 8. sınıf öğrencilerinin üslü ifadelere ilişkin sayı duyuları ve başarıları arasındaki ilişki [The relationship between 8th grade students' number sense and success in exponential expressions]. The Western Anatolia Journal of Educational Sciences (WAJES), 5(9), 47-70.
• 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.
• Büyüköztürk, Ş. (2017). Sosyal bilimler için veri analizi el kitabı [in Turkish]. Ankara: Pegem Publishing.
• Büyüköztürk, Ş., Kılıç Çakmak, E., Akgün, Ö. E., Karadeniz, Ş., & Demirel, F. (2014). Bilimsel araştırma yöntemleri [Scientific research methods]. Ankara: Pegem Publishing.
• Can, D. (2017). İlkokul dördüncü sınıf öğrencilerinin sayı duyularının bağlam temelli ve bağlam temelli olmayan problem durumlarında incelenmesi [in Turkish] (Unpublished doctoral dissertation). Hacettepe University, Ankara.
• Can, D. (2019). İlkokul dördüncü sınıf öğrencilerinin sayı duyusu performansının bazı değişkenler açısından incelenmesi [Examination of the number sense performance of the fourth grade elementary school students based on some variables]. Elementary Education Online, 18(4), 1751-1765.
• Charlesworth, R., & Lind, K. K. (2010). Math and science for young children. Belmont, CA: Wadsworth/Cengage Learning.
• 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.
• 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.
• Clements, D. H., & Sarama, J. (2006). Early math: Young children and geometry. Early Childhood Today, 20(7), 12-13.
• Çekirdekçi, S. (2015). İlkokul 4. sınıf öğrencileri için sayı hissi testinin geliştirilerek öğrencilerin sayı hissinin incelenmesi [in Turkish] (Unpublished doctoral dissertation). Marmara University, İstanbul.
• Dehaene, S. (2011). The number sense: How the mind creates mathematics. New York: Oxford University.
• Facun, R. D., & Nool, N. R. (2012). Assessing the number sense of grade 6 pupils. International Proceedings of Economics Development & Research, 30, 297-301.
• Fraenkel, J. K., & Wallen, N. E. (1996). How to design and evaluate research in education (third edition). New York: McGraw-Hill, Inc.
• 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.
• Gersten, R., & Chard, D., (1999). Number sense: Re-thinking arithmetic instruction for students with mathematical disabilities. The Journal of Special Education, 33(1), 18– 28.
• Ginsburg, H. P., Cannon, J., Eisenband, J., & Pappas, S. (2006). Mathematical thinking and learning. In K. McCartney, & D. Phillips (Eds.), Blackwell handbook on early childhood development (p. 208 – 230). Malden, MA: Blackwell.
• Güleç, N., & İvrendi, A. (2017). 5-6 yaş çocukların sayı kavramı becerilerinin ebeveyn ve öğretmen değişkenleri açısından yordanması [Predicting 5-6 years old children's number concept skills in terms of parent and teacher variables]. Hacettepe University Journal of Education, 32(1), 81-98.
• Günkaya, B. (2018). 8. sınıf öğrencilerinin sayı hissi ile uzamsal yetenekleri arasındaki ilişkinin incelenmesi [in Turkish] (Unpublished master thesis). Dokuz Eylül University, İzmir.
• 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.
• Harç, S. (2010). 6. sınıf öğrencilerinin sayı duygusu kavramı açısından mevcut durumlarının analizi [in Turkish] (Unpublished master thesis). Marmara University, İstanbul.
• Haylock, D., & Manning, R. (2019). Mathematics explained for primary teachers (6th ed.). SAGE. SAGE.
• İymen, E. (2012). 8. sınıf öğrencilerinin üslü ifadeler ile ilgili sayı duyularının sayı duyusu bileşenleri bakımından incelenmesi [in Turkish] (Unpublished master thesis). Pamukkale University, Denizli.
• 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, 40(177), 109-125.
• Kayhan Altay, M. (2010). İlköğretim ikinci kademe öğrencilerinin sayı duyularının; sınıf düzeyine, cinsiyete ve sayı duyusu bileşenlerine göre incelenmesi [in Turkish] (Unpublished doctoral dissertation). Hacettepe University, Ankara.
• Kilimlioğlu, M. Ç. (2018). 5-6 yaş çocuklarının etkileşimli oyunlar ile sözel dil başarımları ve sayı hissi arasındaki ilişkinin incelenmesi [in Turkish] (Unpublished master thesis). Pamukkale University, Denizli.
• 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.
• 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.
• 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.
• 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.
• 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.
• Markovits, Z., & Sowder, J. (1994). Developing number sense: An intervention study in grade 7. Journal for Research in Mathematics Education, 25(1), 4-29.
• McGuire, P., Kinzie, M.B., & Daniel B. Berch, D.B. (2012). Developing number sense in pre-k with five-frames. Early Childhood Education J, 40, 213–222.
• 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.
• Miles, M, B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded Sourcebook. (2nd ed). Thousand Oaks, CA: Sage.
• Mix, K.S., Huttenlocher, J., & Levine, S.C. (2002). Quantitative development in infancy and early childhood. New York: Oxford University.
• Mohamed, M., & Johnny, J. (2010). Investigating number sense among students. Procedia Social and Behavioral Sciences, 8(3), 317-324.
• National Association for the Education of Young Children (NAEYC) (2008). Early childhood mathematics: Promoting goog beginnings. A joint position statement of the National Association for the Education of Young Children (NAEYC) and the National Council for Teachers of Mathematics (NCTM). Washington, DC: NAEYC.
• National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
• Olkun, S., & Toluk Uçar, Z. (2018). İlköğretimde etkinlik temelli matematik öğretimi [in Turkish]. Ankara: Genç Kalemler Publishing
• Öztürk, M., Durmaz, B., & Can, D. (2019). Sayı konuşmalarının diskalkulik ortaokul öğrencilerinin sayı duyularına etkisi [in Turkish]. Kastamonu Education Journal, 27(6), 2467-2480.
• Patton, M.Q. (2002). Qualitative research and evaluation methods (3rd Ed.). London: Sage.
• Pittalis, M., Pitta-Pantazi, D., & Christou, C. (2018). A longitudinal study revisiting the notion of early number sense: Algebraic arithmetic as a catalyst for number sense development. Mathematical Thinking and Learning, 20(3), 222-247.
• 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.
• Saracho, O. N., & Spodek, B. (2008). Trend is early childhood mathematics research. In O. N. Saracho & B. Spodek (Eds.), Contemporary perspectives on mathematics in early childhood education (pp. Vii-xx). Charlotte, NC: Information age Inc.
• Sarıca, N. (2007). Çocukta nicelik ve sayı kavramı üzerine [in Turkish]. Dilbilim, 2(2), 77-83.
• Seo, K. H., & Ginsburg, H. (2004). What is developmentally appropriate in early childhood mathematics education? Lessons from new research. In D. Clements & J. Sarama (Eds.), Engaging young children in mathematics: Standards for early childhood mathematics education. Mahwah, NJ: Lawrence Earlbaum Associates.
• Sevgi, S., & Alpaslan, N. A. (2020). Ortaokul öğrencilerinin matematiğe yönelik duyuşsal giriş özellikleri ile sayı duyusuna yönelik öz yeterliklerinin incelenmesi [in Turkish]. Turkish Journal of Educational Studies, 7(2), 170-193.
• 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.
• Smith, S. S. (2009). Early childhood mathematics. Boston, MA: Pearson Education Inc.
• Smith, S.S. (2001). Early childhood mathematics, Allyn and Bacon. Pearson Education Inc.
• Spelke, E. S., & Kinzler, K. D. (2007). Core knowledge. Developmental Science, 10(1), 89- 96.
• Starkey, P., Klein, A., & Wakeley, A. (2004). Enhancing young children’s mathematical knowledge through a pre-kindergarten mathematics intervention. Early Childhood Research Quarterly, 19(1), 99-120.
• 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.
• Takır, A. (2016). 6. 7. ve 8. sınıf öğrencilerinin sayı duyusu becerilerinin bazı değişkenler açısından incelenmesi [in Turkish]. Dicle Üniversitesi Ziya Gökalp Eğitim Fakültesi Dergisi, 29, 309-323.
• Tan, Ş. (2009). Misues of Kr-20 and cronbach's alpha reliability coefficients. Education and Science, 34(152), 101-112.
• Tandi Clausen, M. (2005). Teaching maths to pupils with different learning styles. Paul Chapman.
• Tertemiz, N. I. (2017). Öğrenme güçlüğü destek seti matematik öğretiminde stratejiler-4 [in Turkish]. (Ed. E.Rüya Özmen). Ankara: Eğiten Kitap.
• Tsao, Y. L. (2004). Exploring the connections among number sense, mental computation performance, and the written computation performance of elementary preservice school teachers. Journal of College Teaching & Learning, 1(12), 71-90.
• Ulusoy, Ç. A. (2020). Sayı duyusu temelli öğretimin altıncı sınıf öğrencilerinin özyeterliklerine ve performanslarına etkisi [in Turkish]. Education and Science, 45(202), 417-439.
• Van de Walle, J. A., Karp, K. S., Bay Williams, J. M., & Wray, J. (2013). Elementary and middle school mathematic: Teaching developmentally. New Jersey: Pearson Education.
• 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.
• Yang, D. C. (2005). Number sense strategies used by 6th grade students in Taiwan. Educational Studies, 31(3), 317-333.
• 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.
• Yang, D. C. (2019). Development of a three-tier number sense test for fifth-grade students. Educational Studies in Mathematics, 101(3), 405-424.
• Yang, D. C., & Li, M. F. (2008). An investigation of 3rd grade Taiwanese students’ performance in number sense. Educational Studies, 34(5), 443-455.
• 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.
• 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.
• 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.
• 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.
• 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.
• Yapıcı, A. (2013). 5, 6 ve 7. sınıf öğrencilerinin yüzdeler konusunda sayı duyularının incelenmesi [An investigation of 5, 6 and 7th grade students' number sense related to percent] (Unpublished master thesis). Hacettepe University, Ankara.
• Yapıcı, A., & Altay, M. K. (2017). An investigation of middle school students’ number sense regarding the percent. Bolu Abant Izzet Baysal University Journal of Faculty of Education, 17(4), 2221-2243.
• Yarar, S. H., Es, H., & Gürefe, N. (2018, Eylül). Ortaokul öğrencilerinin sayı duyusundaki başarısı ve özyeterliği [in Turkish]. Paper presented at the V. International Conference on Ifs and Contemporary Mathematics, Kahramanmaraş Sütçü İmam University, Kahramanmaraş.
• Yenilmez, K., & Yıldız, Ş. (2018). 7. sınıf öğrencilerinin rasyonel sayılar konusunda kullandıkları sayı duyusu stratejilerinin incelenmesi [Investigation of number sense strategies of 7th grade students on rational numbers]. Journal of Theoretical Educational Science, 11(3), 457-485.