The Connection between Children's Literature and Mathematics: Reflections from Problem Posing Situations of Prospective Mathematics Teachers
Yıl 2025,
Cilt: 19 Sayı: 1, 84 - 112, 27.06.2025
Neslihan Demirci
,
Çiğdem Arslan
Öz
Utilizing interdisciplinary connections in teaching mathematics increases the quality of teaching and makes learning more effective and permanent. In this study, the connection between children’s literature and mathematics was discussed and this connection was examined through problem posing. The relevant research was conducted with a case study design, which is one of the qualitative research methods. In this direction, 6-week tasks were carried out intermittently for prospective mathematics teachers regarding the connection between children’s literature and mathematics. As a result of these tasks, prospective mathematics teachers were asked to pose as many problems as they could using a visual in a book of children’s literature. 66 mathematical problems posed by 27 prospective mathematics teachers were evaluated descriptively with the problem posing evaluation criteria including the themes of “Content”, “Mathematical Connection” and “Creativity”, and the frequencies for the themes were presented in a table. As a result of the study, it was concluded that the connection between children’s literature and mathematics positively affected the mathematical connection skills and creativity of the prospective teachers. At the same time, it was observed that the number of problem-solving strategies used in the problems posed by the prospective teachers was high and the most preferred problem-solving strategy was mathematical reasoning.
Kaynakça
-
Arslan-Başdağ, D., & Dağlıoğlu, H. (2020). Study of basic mathematical skills of picture story books. Mersin University Journal of the Faculty of Education, 16(2), 233-253. https://doi.org/10.17860/mersinefd.528015
-
Arslan Ç., & Kartal, H. (2023). Matematiksel problem kurmanın çocuk edebiyatı ile bütünleştirilmesi. In F. Erdoğan (Eds.), Matematik ve Fen Bilimleri Eğitiminde Yeni Yaklaşımlar 2023-II (pp. 343-354). Efe Akademi.
-
Aslan, O. (2019). ‘Child Literature’ in the mathematics education of the children of Z generation. Turkish Scientific Researches Journal, 4(1), 32-48. https://dergipark.org.tr/en/pub/tubad/issue/52863/698416
-
Ayvaz, A. (2010). The effect of teaching with literary materials on students’ achievement and attitudes in division sub-learning area of 4th grade mathematics course. (Publication No. 273062) [Master’s thesis, Sakarya University]. Council of Higher Education Thesis Center.
-
Ball, D. L., Hill, H. C., & Bass, H. (2005). Knowing mathematics for teaching: Who knows mathematics well enough to teach third grade, and how can we decide? American Educatur, 29(1), 14-17, 20-22, 43-46. https://deepblue.lib.umich.edu/handle/2027.42/65072
-
Baltacı, A. (2019). The qualitative research process: How to conduct a qualitative research? Ahi Evran University Journal of Social Sciences Institute, 5(2), 368-388. https://doi.org/10.31592/aeusbed.598299
-
Barlow, A. T., & Cates, J. M. (2006). The impact of problem posing on elementary teachers’ beliefs about mathematics and mathematics teaching. School Science and Mathematics, 106(2), 64–73. https://doi.org/10.1111/j.1949-8594.2006.tb18136.x
-
Barnaby, D. (2015). The use of children’s literature to teach mathematics to improve confidence and reduce math anxiety. [Unpublished master’s thesis]. University of Toronto. https://tspace.library.utoronto.ca/handle/1807/68738
-
Baumanns, L., & Rott, B. (2022). Developing a framework for characterising problem-posing activities: A review. Research in Mathematics Education, 24(1), 28-50. https://doi.org/10.1080/14794802.2021.1897036
-
Brown, S. I., & Walter, M. I. (2005). The art of problem posing. Psychology Press. https://doi.org/10.4324/9781410611833
-
Cai, J. (2003). Singaporean students’ mathematical thinking in problem solving and problem posing: An exploratory study. International Journal of Mathematical Education in Science and Technology, 34(5), 719-737. https://doi.org/10.1080/00207390310001595401
-
Cai, J., & Hwang, S. (2020). Learning to teach through mathematical problem posing: Theoretical considerations, methodology, and directions for future research. International Journal of Educational Research, 102, Article 101391. https://doi.org/10.1016/j.ijer.2019.01.001
-
Cai, J., Hwang, S., Jiang, C., & Silber, S. (2015). Problem-posing research in mathematics education: Some answered and unanswered questions. In F. M. Singer, N. F. Ellerton, & J. Cai (Eds.), Mathematical problem solving: From research to effective practice (pp. 3-34). Springer. https://doi.org/10.1007/978-1-4614-6258-3_1
-
Cai, J., Jiang, C., Hwang, S., Nie, B., & Hu, D. (2016). How do textbooks incorporate mathematical problem posing? In P. Felmer, E. Pehkonen & J. Kilpatrick (Eds.), An international comparative study. In Posing and solving mathematical problems (pp. 3-22). Springer. https://doi.org/10.1007/978-3-319-28023-3_1
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Cankoy, O. (2011). Problem-solving instruction in the context of children’s literature and problem understanding. Eurasian Journal of Educational Research, 44, 89-110.
-
Coşkun, M. (2013). To what extent making connections are given place in mathematics classes?: Examples from real classroom practices. (Publication No. 357654) [Master’s thesis, Gaziantep University]. Council of Higher Education Thesis Center.
-
Creswell, J. W., & Poth, C. N. (2016). Qualitative inquiry and research design: Choosing among five approaches. Sage.
-
Cropley, A. (2006). In praise of convergent thinking. Creativity Research Journal, 18(3), 391-404. https://doi.org/10.1207/s15326934crj1803_13
-
Demirci, N. (2023). Investigation of mathematics teacher candidates’ skills in associating children’s literature with mathematics through activities and mind mapping. (Publication No. 834563) [Master’s thesis, Bursa Uludağ University]. Council of Higher Education Thesis Center.
-
Denzin, N. K., & Lincoln, Y. S. (2008). Introduction: The discipline and practice of qualitative research. In N. K.
Denzin & Y. S. Lincoln (Eds.), Strategies of qualitative inquiry (3rd ed., pp. 1–43). Sage. https://psycnet.apa.org/record/2008-06339-001
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Diakiw, J. (1990). Children’s literature and global education: Understanding the developing world. The Reading Teacher, 43(4), 296-300. https://www.jstor.org/stable/20200368
-
Durmaz, B., & Miçoogullari, S. (2021). The effect of the integrated mathematics lessons with children’s literature on the fifth grade students’ place value understanding. Acta Didactica Napocensia, 14(2), 244-256. https://doi.org/10.24193/adn.14.2.18
-
Edelman, J. (2017). How preservice teachers use children’s literature to teach mathematical concepts: Focus on mathematical knowledge for teaching. International Electronic Journal of Elementary Education, 9(4), 741-752. https://iejee.com/index.php/IEJEE/article/view/282/275
-
Eli, J. A., Mohr-Schroeder, M. J., & Lee, C. W. (2011). Exploring mathematical connections of prospective middle-grades teachers through card-sorting tasks. Mathematics Education Research Journal, 23(3), 297-319. https://doi.org/10.1007/s13394-011-0017-0
-
English, L. D. (1996). Children’s problem posing and problem solving preferences. In J. Mulligan, & M. Mitchelmore (Eds.), Research in early number learning (pp. 227– 242). Australian Association of Mathematics Teachers.
-
Fırat, Z., & Dinçer, Ç. (2020). Examining illustrated story books containing mathematical concepts in terms of format and content. Mersin University Journal of the Faculty of Education, 16(3), 664-685. https://doi.org/10.17860/mersinefd.704755
-
Furner, J. M. (2018). Using children’s literature to teach mathematics: An effective vehicle in a STEM world. European Journal of STEM Education, 3(3), 14. https://doi.org/10.20897/ejsteme/3874
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Green, K. B. (2013). The effects of the integration of mathematics within children’s literature on early numeracy skills of young children with disabilities. [Doctoral dissertation, Georgia State University]. https://www.proquest.com/dissertations-theses/effects-integration-mathematics-within-childrens/docview/1609013964/se-2
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Haury, D. L. (2001). Literature-based mathematics in elementary school. ERIC Clearinghouse for Science, Mathematics and Environmental Education. https://eric.ed.gov/?id=ED464807
-
Işık, C., & Kar, T. (2012). Pre-service elementary teachers’ problem posing skills. Mehmet Akif Ersoy University Journal of Education Faculty, 1(23), 190-214. https://dergipark.org.tr/en/pub/maeuefd/issue/19396/206038
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Joaquin, M.N.B. (2023). Problem posing among preservice and inservice mathematics teachers. In T. L. Toh, M. Santos-Trigo, P. H. Chua, N. A. Abdullah, & D. Zhang (Eds.), Problem posing and problem solving in mathematics education (pp 173-187). Springer. https://doi.org/10.1007/978-981-99-7205-0_10
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Korkmaz, E., & Gür, H. (2006). Determining of prospective teachers’ problem posing skills. Balıkesir University Journal of Science Institute, 8(1), 65-74. https://dergipark.org.tr/en/pub/baunfbed/issue/24795/261959
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Çocuk Edebiyatı ve Matematik İlişkilendirmesi: Matematik Öğretmen Adaylarının Problem Kurma Durumlarından Yansımalar
Yıl 2025,
Cilt: 19 Sayı: 1, 84 - 112, 27.06.2025
Neslihan Demirci
,
Çiğdem Arslan
Öz
Matematik öğretiminde disiplinler arası ilişkilendirmeden yararlanmak öğretimin niteliğini arttırmakta, öğrenmeyi daha etkili ve kalıcı hale getirmektedir. Bu çalışmada çocuk edebiyatı ile matematik ilişkilendirmesi ele alınmış, bu ilişkilendirme problem kurma üzerinden incelenmiştir. İlgili araştırma nitel araştırma yöntemlerinden durum çalışması deseni ile yürütülmüştür. Bu doğrultuda matematik öğretmen adaylarına çocuk edebiyatı ve matematik ilişkilendirmesine yönelik aralıklı olacak şekilde 6 haftalık uygulamalar gerçekleştirilmiştir. Bu uygulamalar sonucunda matematik öğretmen adaylarından bir çocuk edebiyatı eserinde yer alan görselden yararlanarak kurabildikleri kadar problem kurmaları istenmiştir. 27 matematik öğretmen adayı tarafından kurulan 66 matematiksel problem “İçerik”, “Matematiksel İlişkilendirme” ve “Yaratıcılık” temalarını içeren “Problem Kurmayı Değerlendirme Kriterleri” ile betimsel olarak değerlendirilmiş, temalara yönelik frekanslar tablo halinde sunulmuştur. Çalışma sonucunda çocuk edebiyatı ile matematik ilişkilendirmesinin öğretmen adaylarının matematiksel ilişkilendirme becerilerini ve yaratıcılıklarını olumlu anlamda etkilediği sonuçlarına ulaşılmıştır. Aynı zamanda öğretmen adaylarının kurdukları problemlerde problem çözme stratejilerinin kullanımının sayıca fazla olduğu ve en fazla tercih edilen problem çözme stratejisinin matematiksel muhakeme yapma olduğu görülmüştür.
Kaynakça
-
Arslan-Başdağ, D., & Dağlıoğlu, H. (2020). Study of basic mathematical skills of picture story books. Mersin University Journal of the Faculty of Education, 16(2), 233-253. https://doi.org/10.17860/mersinefd.528015
-
Arslan Ç., & Kartal, H. (2023). Matematiksel problem kurmanın çocuk edebiyatı ile bütünleştirilmesi. In F. Erdoğan (Eds.), Matematik ve Fen Bilimleri Eğitiminde Yeni Yaklaşımlar 2023-II (pp. 343-354). Efe Akademi.
-
Aslan, O. (2019). ‘Child Literature’ in the mathematics education of the children of Z generation. Turkish Scientific Researches Journal, 4(1), 32-48. https://dergipark.org.tr/en/pub/tubad/issue/52863/698416
-
Ayvaz, A. (2010). The effect of teaching with literary materials on students’ achievement and attitudes in division sub-learning area of 4th grade mathematics course. (Publication No. 273062) [Master’s thesis, Sakarya University]. Council of Higher Education Thesis Center.
-
Ball, D. L., Hill, H. C., & Bass, H. (2005). Knowing mathematics for teaching: Who knows mathematics well enough to teach third grade, and how can we decide? American Educatur, 29(1), 14-17, 20-22, 43-46. https://deepblue.lib.umich.edu/handle/2027.42/65072
-
Baltacı, A. (2019). The qualitative research process: How to conduct a qualitative research? Ahi Evran University Journal of Social Sciences Institute, 5(2), 368-388. https://doi.org/10.31592/aeusbed.598299
-
Barlow, A. T., & Cates, J. M. (2006). The impact of problem posing on elementary teachers’ beliefs about mathematics and mathematics teaching. School Science and Mathematics, 106(2), 64–73. https://doi.org/10.1111/j.1949-8594.2006.tb18136.x
-
Barnaby, D. (2015). The use of children’s literature to teach mathematics to improve confidence and reduce math anxiety. [Unpublished master’s thesis]. University of Toronto. https://tspace.library.utoronto.ca/handle/1807/68738
-
Baumanns, L., & Rott, B. (2022). Developing a framework for characterising problem-posing activities: A review. Research in Mathematics Education, 24(1), 28-50. https://doi.org/10.1080/14794802.2021.1897036
-
Brown, S. I., & Walter, M. I. (2005). The art of problem posing. Psychology Press. https://doi.org/10.4324/9781410611833
-
Cai, J. (2003). Singaporean students’ mathematical thinking in problem solving and problem posing: An exploratory study. International Journal of Mathematical Education in Science and Technology, 34(5), 719-737. https://doi.org/10.1080/00207390310001595401
-
Cai, J., & Hwang, S. (2020). Learning to teach through mathematical problem posing: Theoretical considerations, methodology, and directions for future research. International Journal of Educational Research, 102, Article 101391. https://doi.org/10.1016/j.ijer.2019.01.001
-
Cai, J., Hwang, S., Jiang, C., & Silber, S. (2015). Problem-posing research in mathematics education: Some answered and unanswered questions. In F. M. Singer, N. F. Ellerton, & J. Cai (Eds.), Mathematical problem solving: From research to effective practice (pp. 3-34). Springer. https://doi.org/10.1007/978-1-4614-6258-3_1
-
Cai, J., Jiang, C., Hwang, S., Nie, B., & Hu, D. (2016). How do textbooks incorporate mathematical problem posing? In P. Felmer, E. Pehkonen & J. Kilpatrick (Eds.), An international comparative study. In Posing and solving mathematical problems (pp. 3-22). Springer. https://doi.org/10.1007/978-3-319-28023-3_1
-
Cankoy, O. (2011). Problem-solving instruction in the context of children’s literature and problem understanding. Eurasian Journal of Educational Research, 44, 89-110.
-
Coşkun, M. (2013). To what extent making connections are given place in mathematics classes?: Examples from real classroom practices. (Publication No. 357654) [Master’s thesis, Gaziantep University]. Council of Higher Education Thesis Center.
-
Creswell, J. W., & Poth, C. N. (2016). Qualitative inquiry and research design: Choosing among five approaches. Sage.
-
Cropley, A. (2006). In praise of convergent thinking. Creativity Research Journal, 18(3), 391-404. https://doi.org/10.1207/s15326934crj1803_13
-
Demirci, N. (2023). Investigation of mathematics teacher candidates’ skills in associating children’s literature with mathematics through activities and mind mapping. (Publication No. 834563) [Master’s thesis, Bursa Uludağ University]. Council of Higher Education Thesis Center.
-
Denzin, N. K., & Lincoln, Y. S. (2008). Introduction: The discipline and practice of qualitative research. In N. K.
Denzin & Y. S. Lincoln (Eds.), Strategies of qualitative inquiry (3rd ed., pp. 1–43). Sage. https://psycnet.apa.org/record/2008-06339-001
-
Diakiw, J. (1990). Children’s literature and global education: Understanding the developing world. The Reading Teacher, 43(4), 296-300. https://www.jstor.org/stable/20200368
-
Durmaz, B., & Miçoogullari, S. (2021). The effect of the integrated mathematics lessons with children’s literature on the fifth grade students’ place value understanding. Acta Didactica Napocensia, 14(2), 244-256. https://doi.org/10.24193/adn.14.2.18
-
Edelman, J. (2017). How preservice teachers use children’s literature to teach mathematical concepts: Focus on mathematical knowledge for teaching. International Electronic Journal of Elementary Education, 9(4), 741-752. https://iejee.com/index.php/IEJEE/article/view/282/275
-
Eli, J. A., Mohr-Schroeder, M. J., & Lee, C. W. (2011). Exploring mathematical connections of prospective middle-grades teachers through card-sorting tasks. Mathematics Education Research Journal, 23(3), 297-319. https://doi.org/10.1007/s13394-011-0017-0
-
English, L. D. (1996). Children’s problem posing and problem solving preferences. In J. Mulligan, & M. Mitchelmore (Eds.), Research in early number learning (pp. 227– 242). Australian Association of Mathematics Teachers.
-
Fırat, Z., & Dinçer, Ç. (2020). Examining illustrated story books containing mathematical concepts in terms of format and content. Mersin University Journal of the Faculty of Education, 16(3), 664-685. https://doi.org/10.17860/mersinefd.704755
-
Furner, J. M. (2018). Using children’s literature to teach mathematics: An effective vehicle in a STEM world. European Journal of STEM Education, 3(3), 14. https://doi.org/10.20897/ejsteme/3874
-
Green, K. B. (2013). The effects of the integration of mathematics within children’s literature on early numeracy skills of young children with disabilities. [Doctoral dissertation, Georgia State University]. https://www.proquest.com/dissertations-theses/effects-integration-mathematics-within-childrens/docview/1609013964/se-2
-
Haury, D. L. (2001). Literature-based mathematics in elementary school. ERIC Clearinghouse for Science, Mathematics and Environmental Education. https://eric.ed.gov/?id=ED464807
-
Işık, C., & Kar, T. (2012). Pre-service elementary teachers’ problem posing skills. Mehmet Akif Ersoy University Journal of Education Faculty, 1(23), 190-214. https://dergipark.org.tr/en/pub/maeuefd/issue/19396/206038
-
Joaquin, M.N.B. (2023). Problem posing among preservice and inservice mathematics teachers. In T. L. Toh, M. Santos-Trigo, P. H. Chua, N. A. Abdullah, & D. Zhang (Eds.), Problem posing and problem solving in mathematics education (pp 173-187). Springer. https://doi.org/10.1007/978-981-99-7205-0_10
-
Kitzinger, J. (1995). Qualitative research: Introducing focus groups. BMJ, 311(7000), 299-302. https://doi.org/10.1136/bmj.311.7000.299
-
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-
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