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Original Articles

Preservice Preschool Teachers’ Pedagogical Content Knowledge on Geometric Shapes in Terms of Children’s Mistakes

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Pages 385-405 | Received 02 Dec 2018, Accepted 11 May 2019, Published online: 18 Dec 2019

References

  • Aktaş-Arnas, Y., & Aslan, D. (2010). Children’s classification of geometric shapes. Çukurova Üniversitesi Sosyal Bilimler Enstitüsü Dergisi, 19(1), 254–270.
  • Altun, M. (2013). Ortaokullarda matematik öğretimi (9th ed.). Bursa, Turkey: Aktüel Yayıncılık.
  • Ashbran, M. C. (2011). Examining student learning in a physics pedagogical content knowledge course (Masters’ thesis). California State University, Long Beach, CA.
  • Baki, M. (2012). Sınıf öğretmeni adaylarının matematiği öğretme bilgilerinin gelişiminin incelenmesi: Bir ders imecesi (lesson study) çalışması (Unpublished doctoral dissertation). Karadeniz Teknik Üniversitesi, Trabzon, Turkey.
  • Ball, D. L. (1991). Research on teaching mathematics: Making content knowledge part of the equation. In J. Brophy (Ed.), Advances in research on teaching (Vol. 2, pp. 1–48). Greenwich, CT: JAI Press.
  • Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5), 389–407. doi:10.1177/0022487108324554
  • Baysen, E., Güneyli, A., & Baysen, F. (2012). Kavram öğrenme-öğretme ve kavram yanılgıları: Fen bilgisi ve türkçe öğretimi örneği. International Journal of New Trends in Arts, Sports & Science Education, 1(2), 108–117.
  • Brauer, P. M., Hanning, R. M., Arocha, J. F., Royall, D., Goy, R., Grant, A., … Horrocks, J. (2009). Creating case scenarios or vignettes using factorial study design methods. Journal of Advanced Nursing, 65(9), 1937–1945. doi:10.1111/j.1365-2648.2009.05055.x
  • Bryant, P. (2009). Understanding space and its representation in mathematics. Key understandings in mathematics learning. London, England: Nuffield Foundation.
  • Bursill-Hall, P. (2002). Why do we study geometry? Answers through the ages. Cambridge, Englad: Cambridge University Centre for Mathematical Sciences.
  • Carrillo-Yañez, J., Climent, N., Montes, M., Contreras, L. C., Flores-Medrano, E., Escudero-Ávila, D., … Ribeiro, M. (2018). The mathematics teacher’s specialised knowledge (MTSK) model. Research in Mathematics Education, 20(3), 236–253.
  • Cavin, R. M. (2007). Developing technological pedagogical content knowledge in preservice teachers through microteaching lesson study (Unpublished doctoral dissertation). The Florida State University, Tallahassee, FL.
  • Clements, D. H., & Sarama, J. (2000). Young children’s ideas about geometric shapes. Teaching Children Mathematics, 6(8), 482,488.
  • Clements, D. H., Swaminathan, S., Hannibal, M. A. Z., & Sarama, J. (1999). Young children’s concepts of shape. Journal for Research in Mathematics Education, 30(2), 192–212. doi:10.2307/749610
  • Clements, D. H., Wilson, D. C., & Sarama, J. (2004). Young children’s composition of geometric figures: A learning trajectory. Mathematical Thinking and Learning, 6(2), 163,184. doi:10.1207/s15327833mtl0602_5
  • Cochran, K. F., DeRuiter, J. A., & King, R. A. (1993). Pedagogical content knowing: An integrative model for teacher preparation. Journal of Teacher Education, 44(4), 263–272. doi:10.1177/0022487193044004004
  • Copley, J. V. (2000). The young child and mathematics. Washington, DC: National Association for the Education of Young Children.
  • Davey, L. (1991). The application of case study evaluations. Practical Assessment, Research & Evaluation, 2(9), 1–2.
  • Elia, I., & Gagatsis, A. (2003). Young children’s understanding of geometric shapes: The role of geometric models. European Early Childhood Education Research Journal, 11(2), 43–61. doi:10.1080/13502930385209161
  • Fernández, M. L. (2010). Investigating how and what prospective teachers learn through microteaching lesson study. Teaching and Teacher Education, 26, 351–362. doi:10.1016/j.tate.2009.09.012
  • Fisher, K. R., Hirsh‐Pasek, K., Newcombe, N., & Golinkoff, R. M. (2013). Taking shape: Supporting preschoolers’ acquisition of geometric knowledge through guided play. Child Development, 84(6), 1872–1878. doi:10.1111/cdev.12091
  • Gal, H., & Linchevski, L. (2010). To see or not to see: Analyzing difficulties in geometry from the perspective of visual perception. Educational Studies in Mathematics, 74(2), 163–183. doi:10.1007/s10649-010-9232-y
  • Gökkurt, B., Şahin, Ö., & Soylu, Y. (2016). Öğretmen Adaylarının Değişken Kavramına Yönelik Pedagojik Alan Bilgilerinin Öğrenci Hataları Bağlamında İncelenmesi. Pamukkale Üniversitesi Eğitim Fakültesi Dergisi, 39, 17–31.
  • Grossman, P. L. (1990). The making of a teacher: Teacher knowledge and teacher education. New York, NY: Columbia University Teachers College Press.
  • Gudmundsdottir, S. (1987). Pedagogical content knowledge: Teachers’ ways of knowing. East Lansing, MI: National Center for Research on Teacher Learning. (ERIC Document Reproduction Service No. ED290701.
  • Halat, E., & Yeşil-Dağlı, Ü. (2016). Preschool students’ understanding of a geometric shape, the square. Bolema: Boletim De Educação Matemática, 30(55), 830–848. doi:10.1590/1980-4415v30n55a25
  • Hsieh, H. F., & Shannon, S. E. (2005). Three approaches to qualitative content analysis. Qualitative Health Research, 15(9), 1277–1288. doi:10.1177/1049732305276687
  • Jenkins, O. F. (2010). Developing teachers’ knowledge of students as learners of mathematics through structured interviews. Journal of Mathematics Teacher Education, 13(2), 141–154. doi:10.1007/s10857-009-9129-9
  • Jung, M., & Conderman, G. (2017). Early geometry instruction for young children. Kappa Delta Pi Record, 53(3), 126–130. doi:10.1080/00228958.2017.1334478
  • Kahan, J., Cooper, D., & Bethea, K. (2003). The role of mathematics teachers’ content knowledge in their teaching: A framework for research applied to a study of student teachers. Journal of Mathematics Teacher Education, 6(3), 223–252. doi:10.1023/A:1025175812582
  • Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers’ understanding of fundamental mathematics in China and the United States. Mahwah, NJ: Erlbaum.
  • Magnusson, S., Krajcik, J., & Borko, H. (1999). Nature, sources, and development of PCK for science teaching. In J. Gess-Newsome & N. G. Lederman (Eds.), Examining PCK: The construct and its implications for science education (pp. 95–120). Boston, MA: Kluwer Academic Press.
  • Mammana, C., & Villani, V. (1998). Perspective on the teaching of geometry for the 21st century. Dordrecht, the Netherlands: Kluwer.
  • Marks, R. (1990). Pedagogical content knowledge: From a mathematical case to a modified conception. Journal of Teacher Education, 41, 3–11. doi:10.1177/002248719004100302
  • McMillian, H. J., & Schumacher, S. (2010). Research in education. Boston, MA: Pearson Education.
  • MEB [Milli Eğitim Bakanlığı]. (2016). Sözleşmeli öğretmen istihdamina ilişkin yönetmelik. Retrieved from http://mevzuat.meb.gov.tr/dosyalar/1787.pdf
  • Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook (2nd ed.). Thousand Oaks, CA: Sage.
  • Mooney, C., Briggs, M., Hansen, A., McCullouch, J., & Fletcher, M. (2018). Primary mathematics: Teaching theory and practice (8th ed.). Thousand Oaks, CA: Sage.
  • Nurnberger-Haag, J. (2018). Follow the signs to promote accurate geometric shape knowledge. Ohio Journal of School Mathematics, 80(1), 19–29.
  • ÖSYM [Ölçme Seçme ve Yerleştirme Merkezi]. (2018). 2018 yükseköğretim kurumlari sinavi (yks) yükseköğretim programlari ve kontenjanlari kilavuzu. Retrieved from https://dokuman.osym.gov.tr/pdfdokuman/2018/YKS/KONTKILAVUZ6082018.pdf
  • Rapport, F. (2010). Summative analysis: A qualitative method for social science and health research. International Journal of Qualitative Methods, 9(3), 270–290. doi:10.1177/160940691000900303
  • Rungtusanatham, M., Wallin, C., & Eckerd, S. (2011). The vignette in a scenario-based role-playing experiment. Journal of Supply Chain Management, 47(3), 9–16. doi:10.1111/j.1745-493X.2011.03232.x
  • Şahin, Ö. (2016). An examination of development of pedagogical content knowledge of prospective middle school mathematics teachers on algebra (Unpublished doctoral dissertation). Atatürk University, Erzurum, Turkey.
  • Şahin, Ö., Gökkurt, B., & Soylu, Y. (2016). Examining prospective mathematics teachers’ pedagogical content knowledge on fractions in terms of students’ mistakes. International Journal of Mathematical Education in Science and Technology, 97(4), 531–551. doi:10.1080/0020739X.2015.1092178
  • Şahin, Ö., & Korkmaz, H. İ. (2017). Preschool children’s learning difficulties about mathematical concepts. Paper presented at International Congress on Political, Economic and Social Studies, Ankara, Turkey. Retrieved from https://drive.google.com/drive/u/0/folders/0B9HcjpvWu3lFdnk0N1pDOGE5cGM
  • Sarama, J., & Clements, D. H. (2014). Preschoolers getting in shape. Teaching Young Children, 7(5), 30–31.
  • Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14. doi:10.3102/0013189X015002004
  • Shulman, L. S. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57(1), 1–23. doi:10.17763/haer.57.1.j463w79r56455411
  • Smith, D. C., & Neale, D. C. (1989). The construction of subject matter knowledge in primary science teaching. Teaching and Teacher Education, 5, 1–20. doi:10.1016/0742-051X(89)90015-2
  • Tamir, P. (1988). Subject matter and related pedagogical knowledge in teacher education. Teaching and Teacher Education, 4(2), 99–110. doi:10.1016/0742-051X(88)90011-X
  • Toluk-Uçar, Z. (2011). Öğretmen adaylarının pedagojik içerik bilgisi: Öğretimsel açıklamalar. Turkish Journal of Computer and Mathematics Education, 2(2), 87–102.
  • Trawick-Smith, J., Swaminathan, S., & Liu, X. (2016). The relationship of teacher-child play interactions to mathematics learning in preschool. Early Child Development and Care, 186(5), 716–733. doi:10.1080/03004430.2015.1054818
  • Türkdoğan, A., Baki, A., & Çepni, S. (2009). The anatomy of mistakes: Categorizing students’ mistakes in mathematics within learning theories. Turkish Journal of Computer and Mathematics Education, 1(1), 13–26.
  • Van Hiele, P. M. (1999). Developing geometric thinking through activities that begin with play. Teaching Children Mathematics, 5(6), 310–316.
  • Verdine, B. N., Zimmermann, L., Foster, L., Marzouk, M. A., Golinkoff, R. M., Hirsh-Pasek, K., & Newcombe, N. (2019). Effects of geometric toy design on parent-child interactions and spatial language. Early Childhood Research Quarterly, 46, 126–141. doi:10.1016/j.ecresq.2018.03.015
  • Wright, T. D. (2009). Investigating teachers’ perspectives on the impact of the lesson study process on their mathematical content knowledge, pedagogical knowledge, and the potential for student achievement (Unpublished doctoral dissertation). University of New Orleans, New Orleans, LA.
  • Yesil-Dagli, U., & Halat, E. (2016). Young children’s conceptual understanding of triangle. Eurasia Journal of Mathematics, Science & Technology Education, 12(2), 189–202.
  • Yıldırım, A., & Şimşek, H. (2011). Sosyal bilimlerde nitel araştırma yöntemleri (8th ed.). Ankara, Turkey: Seçkin Yayıncılık.
  • YÖK [Yükseköğretim Kurulu]. (2018). Okul öncesi öğretmenliği lisasns program. Retrieved from https://www.yok.gov.tr/Documents/Kurumsal/egitim_ogretim_dairesi/Yeni-Ogretmen-Yetistirme-Lisans-Programlari/Okul_Oncesi_Ogretmenligi_Lisans_Programi.pdf
  • Zhang, Y. (2015). Pedagogical content knowledge in early mathematics: What teachers know and how it associates with teaching and learning (Unpublished doctoral dissertation). Loyola University, Chicago, IL.

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