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Development of a Preschool Teachers’ Pedagogical Content Knowledge Scale regarding Mathematics

Yıl 2019, Cilt: 6 Sayı: 4, 617 - 635, 05.01.2020
https://doi.org/10.21449/ijate.593636

Öz

This study aimed to
develop a measurement tool in order to assess preschool teachers’ pedagogical
content knowledge regarding mathematics. The study was based on 300 preschool
teachers working in formal independent kindergartens and nursery classes of
primary/secondary schools in the Kahramanmaraş Province of Turkey. Among the
participants, 150 were chosen for pre-application and 150 for the main
application. The scale consists of five different case studies and a total of 35
items, including dialogues that focus on mathematical content and processes reflected
in children’s talk during their play. In calculating the reliability of the
scale, Cronbach Alpha was found to be .95 for the pre-application and .96 for
the main application. For the validity of the scale, exploratory and
confirmatory factor analyses were performed. The exploratory factor analysis
results revealed the scale to be a single-factor structure. When the factor
loads of each relevant item were examined, no item was found to exist with a
factor load value of less than .30. After confirmatory factor analysis was
performed, the model fit indices of CFI, TLI, RMSEA, and SRMR values were found
to be .91, .91, .06 and .06, respectively. These results show the model to be
reliable to an acceptable level. Based on the findings, it could be concluded
that the scale is an instrument that produces valid and reliable measures, and
that it can be used in order to determine the preschool teachers’ pedagogical content
knowledge regarding mathematics.

Kaynakça

  • Aksu, Z., & Kul, U. (2017). Turkish adaptation of the survey of pedagogical content knowledge in early childhood mathematics education. International Journal of Eurasia Social Sciences, 8(30), 1832-1848.
  • Anders, Y., Grosse, C., Rossbach, H., Ebert, S., & Weinert, S. (2013). Preschool and primary school influences on the development of children’s early numeracy skills between the ages of 3 and 7 years in Germany. School Effectiveness and School Improvement, 24(2), 195-211.
  • Anders, Y., & Rossbach, H.G. (2015). Preschool teachers’ sensitivity to mathematics in children’s play: The influence of math-related school experiences, emotional attitudes, and pedagogical beliefs. Journal of Research in Childhood Early Education, 29(3), 305-322.
  • Anthony, G., & Walshaw, M. (2009). Mathematics education in the early years: Building bridges. Contemporary Issues in Early Childhood, 10(2), 107-121. doi: http://dx.doi.org/10.2304/ciec.2009.10.2.107
  • Arnas, Y. (2006). Okul öncesi dönemde matematik eğitimi [Mathematics education in preschool], Adana: Nobel.
  • Aunola, K., Leskinen, E., Lerkkanen, M.K., & Nurmi, J.E. (2004). Developmental dynamics of math performance from preschool to grade 2. Journal of Educational Psychology, 96(4), 699-713.
  • Baranek, L. K. (1996). The effect of rewards and motivation on student achievement. Master’s thesis. Grand Valley State University, MI.
  • Basol, G. (2015). Eğitimde ölçme ve değerlendirme [Measurement and evaluation in education], Ankara: Pegem.
  • Berhenge, A. L. (2013). Motivation, self-regulation, and learning in preschool. (Doctoral Dissertation). University of Michigan, USA.
  • Bulut, S., & Tarım, K. (2006). Okul öncesi öğretmenlerinin matematik ve matematik öğretimine ilişkin algı ve tutumları [Perceptions and attitudes of preschool teachers about mathematics and mathematics teaching]. Çukurova Üniversitesi, Eğitim Fakültesi Dergisi, 2, 32-65.
  • Büyüköztürk, Ş. (2005). Anket geliştirme [Survey Development]. Türk Eğitim Bilimleri Dergisi, 3(2), 133-151.
  • Büyüköztürk, Ş. (2010). Sosyal bilimler için veri analizi el kitabı. istatistik, araştırma deseni SPSS uygulamaları ve yorum. değerlendirme [Data analysis handbook for social sciences statistics, research design SPSS applications and interpretation], Ankara: Pegem Akademi.
  • Büyüköztürk, Ş., Kılıç-Çakmak, E., Akgün, Ö. E., Karadeniz, Ş., & Demirel, F. (2008). Bilimsel Araştırma Yöntemleri (1st Ed.) [Scientific Research Methods], Ankara: Pegem.
  • Chace Pierro, R. (2015). Teachers’ knowledge, beliefs, self-efficacy, and implementation of early childhood learning standards in science and math in prekindergarten and kindergarten. (Master’s thesis). University of North Carolina, USA. Retrieved from https://libres.uncg.edu/ir/uncg/f/Pierro_uncg_0154M_11772.pdf
  • Claesens, A., & Engel, M. (2013). How important is where you start? Early mathematics knowledge and later school success. Teachers College Record, 115(6), 1-29.
  • Clements, D. H., & Sarama, J. (2014). Learning and teaching early math: The Learning Trajectories Approach (2nd Ed.). New York, NY: Routledge.
  • Clements, D. H., Sarama, J., & DiBiase, A.-M. (Eds.). (2004). Engaging young children in mathematics: Standards for early childhood mathematics education. Mahwah, NJ: Erlbaum.
  • Copley, J. V. (2010). The young child and mathematics (2nd Ed.). Washington DC: National Association for the Education of Young Children.
  • Cox, G. J. (2011). Preschool caregivers’ mathematical anxiety: examining the relationships between mathematical anxiety, and knowledge and beliefs about mathematics for young children (Doctoral Dissertation). Texas Woman’s University, Denton, TX.
  • Çelik, M. (2017). Okul öncesi öğretmenlerin erken matematik eğitimine ilişkin öz yeterliklerinin çeşitli değişkenler açısından incelenmesi [Pre-school teachers' self efficacy related to early maths education]. e-Kafkas Eğitim Araştırmaları Dergisi, 4(1), 1-10.
  • Çoban, A. (2002). Matematik dersinin ilköğretim programları ve liselere giriş sınavları açısından değerlendirilmesi [Evaluation of mathematics course in terms of primary education programs and high school entrance exams]. In Proceedings of the V. National Science and Mathematics Education Congress, Middle East Technical University, Ankara, Turkey. http://old.fedu.metu.edu.tr/ufbmek5/b_kitabi/PDF/Matematik/Bildiri/t219d.pdf
  • Dağlı, H., & Dağlıoğlı, H. E. (2017). Preschool teachers’ pedagogical content knowledge about mathematics. In I. Koleva & G. Duman (Eds.), Educational Research and Practice (pp. 124-129). Sofia, Bulgaria: St. Kliment Ohridski University Press.
  • Dağlıoğlu, H. E., Dağlı, H., & Kılıç, N. M. (2014). Okul öncesi eğitimi öğretmen adaylarının matematik eğitimi dersine karşı tutumlarının çeşitli değişkenler açısından incelenmesi [Examination of pre-school teacher candidates' attitudes towards mathematics education course in terms of various variables]. In Proceedings of the YILDIZ International Conference on Educational Research and Social Sciences Proceedings (pp. 293-304). İstanbul, Turkey, Pegem Akademi.
  • Dağlıoğlu, H. E., Genç, H., & Dağlı, H. (2017). Gelişimsel açıdan okul öncesi dönemde matematik eğitimi. [Developmental aspects of mathematics education in preschool period] In İ. Ulutaş (Ed.), Okul öncesi matematik eğitimi [Preschool math education], (pp. 12-36). Ankara, Turkey: Hedef CS.
  • Erdoğan, S. (2006). Altı yaş grubu çocuklarına drama yöntemi ile verilen matematik eğitiminin matematik yeteneğine etkisinin İncelenmesi [A study on the effect of mathematıcs educatıon gıven wıth drama method to sıx-years-old chıldren on mathematıcs ability]. (Doctoral Dissertation). Ankara University, Ankara, Turkey. Retrieved from https://tez.yok.gov.tr
  • Even, R., & Tirosh, D. (1995). Subject-matter knowledge and knowledge about students as sourches of teacher presentations of the subject-matter. Educational Studies in Mathematics, 29(1), 1-20.
  • Fisher, P. H. (2004). Early math interest and the development of math skills: an understudied relationship. (Doctoral Dissertation). University of Massachusetts, USA.
  • Frary, R. B. (1989). Partial-credit scoring methods for multiple-choice tests. Applied Measurement in Education, 2(1), 79-96.
  • Gersten, R., Chard, D. J., Jayanthi, M., Baker, S. K., Morphy, P., & Flojo, J. (2009). Mathematics instruction for students with learning disabilities: A meta-analysis of instructional components. Review of Educational Research, 79(3), 1202-1242.
  • Gifford, S. (2005). Teaching mathematics 3-5: developing learning in the foundation stage. London, United Kingdom: Open University Press.
  • Gökkurt, B., & Soylu, Y. (2016). Ortaokul matematik öğretmenlerinin matematiksel alan bilgilerinin incelenmesi: Prizma örneği [Examination of mathematical knowledge of secondary school mathematics teachers: Prism example]. Abant İzzet Baysal Üniversitesi Eğitim Fakültesi Dergisi, 16(2), 451-481.
  • Güven, B., Karataş, İ., Öztürk, Y., Arslan, S., & Gürsoy, K. (2013). Okul öncesi öğretmenlerinin ve öğretmen adaylarının okul öncesi matematik eğitimine ilişkin inançların belirlenmesine yönelik bir ölçek geliştirme çalışması [A scale development study to determine the beliefs of preschool teachers and teacher candidates’ about pre-school mathematics education]. İlköğretim Online, 12(4), 969-980.
  • Güven, Y. (1998). Kız ve erkek çocuklarda matematik yeteneği ve matematik başarısı konusunda okulöncesi ve ilkokul (ilköğretim) öğretmenlerinin görüşlerinin değerlendirilmesi [Evaluation of preschool and primary school teachers' views on mathematics ability and mathematics achievement in girls and boys]. Marmara Üniversitesi Atatürk Eğitim Fakültesi Eğitim Bilimleri Dergisi, 10, 121-138.
  • Hacısalihoğlu Karadeniz, M. (2011). Okul öncesi öğretmenlerinin sınıf içi matematik uygulamalarının okul öncesi eğitim programına uyumluluğu [Accordance of preschool teachers' classroom mathematics practices with preschool education program]. (Doctoral Dissertation), Karadeniz Technical University, Trabzon, Turkey.
  • Henniger, M. L. (1987). Learning mathematics and science through play. Childhood Education, 63(3), 167-171.
  • Jang, Y. J. (2013) Perspectives on mathematics education for young children (Doctoral dissertation). University of Illinois, USA.
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  • Karasar, N. (2012). Bilimsel araştırma yöntemi [Scientific research method]. Ankara, Turkey: Nobel.
  • Kilday, C. R. (2010). Factors affecting children’s math achievement scores in preschool (Doctoral Dissertation). University of Virginia, USA.
  • Kline, R. B. (2016). Principles and practice of structural equation modeling (3rd ed.). New York, NY: Guilford.
  • Koç, F., Sak, R., & Kayri, M. (2015). Okul öncesi eğitim programındaki etkinliklere yönelik öz-yeterlik inanç ölçeğinin geçerlik ve güvenirlik analizi [Validity and reliability analysis of self-efficacy beliefs scale for activities in preschool education program], İlköğretim Online, 14(4), 1416-1427. doi: http://dx.doi.org/10.17051/io.2015.50571
  • MacCallum, R. C., Widaman, K. F., Preacher, K. J., & Hong, S. (2001). Sample size in factor analysis: the role of model error. Multivariate Behavioral Research, 36(4), 611-637.
  • Masters, G. N. (1988). The analysis of partial credit scoring. Applied Measurement in Education, 1(4), 279-297.
  • McCray, J. (2008). Pedagogical content knowledge for preschool mathematics: relationships to teaching practices and child outcomes (Doctoral Dissertation). Loyola University, Chicago, IL.
  • McCray J.S., & Chen,J.Q. (2012). Pedagogical content knowledge for preschool mathematics: construct validity of a new teacher ınterview, Journal of Research in Childhood Education, 26(3), 291-307.
  • McGrath, C. (2010). Supporting early mathematical development. New York, NY: Routledge.
  • Metin, N. (1994). Okul öncesi dönemde matematik eğitimi ve etkinlik örnekleri [Math education and activity examples in preschool period]. Ş. Bilir (Ed.), Okul öncesi eğitimciler için el kitabı [Handbook for preschool educators]. Istanbul, Turkey: Ya-Pa.
  • Milli Eğitim Bakanlığı (Turkish Ministry of National Education), (2013). Okul öncesi eğitim programı [Preschool education program]. Ankara, Turkey: Milli Eğitim Bakanlığı.
  • Mokrova, I. L. (2012). Motivation at preschool age and subsequent school success: role of supportive parenting and child temperament (Doctoral Dissertation). University of North Carolina, USA.
  • Mononen, R., & Aunio, P. (2013). Early mathematical performance in Finnish kindergarten and grade one. Lumat, 1(3), 245-262.
  • Mononen, R., Aunio, P., & Koponen, T. (2014). Investigating right start mathematics kindergarten instruction in Finland. Journal of Early Childhood Education Research, 3(1), 2-26.
  • National Association for the Education of Young Children & National Council of Teachers of Mathematics. (2010). Position statement. Early childhood mathematics: Promoting good beginnings. Retrieved from www.naeyc.org/resources/position_statements/psmath.htm
  • National Council of Teachers of Mathematics. (2000). Principles and Standards for school mathematics. Reston, VA: NCTM.
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  • National Council of Teachers of Mathematics. (2013). Mathematics in Early Childhood Learning—NCTM position. Reston, VA: NCTM. Retrieved from http://www.nctm.org/uploadedFiles/Standards_and_Positions/Position_Statements/Early%20Childhood%20Mathematics%20(2013).pdf
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  • Zhang, Y. (2015) Pedagogical content knowledge in early mathematics: what teachers know and how it associates with teaching and learning (Doctoral dissertation). Loyola University, Chicago, IL.

Development of a Preschool Teachers’ Pedagogical Content Knowledge Scale regarding Mathematics

Yıl 2019, Cilt: 6 Sayı: 4, 617 - 635, 05.01.2020
https://doi.org/10.21449/ijate.593636

Öz

This study aimed to develop a measurement tool in order to assess preschool teachers’ pedagogical content knowledge regarding mathematics. The study was based on 300 preschool teachers working in formal independent kindergartens and nursery classes of primary/secondary schools in the Kahramanmaraş Province of Turkey. Among the participants, 150 were chosen for pre-application and 150 for the main application. The scale consists of five different case studies and a total of 35 items, including dialogues that focus on mathematical content and processes reflected in children’s talk during their play. In calculating the reliability of the scale, Cronbach Alpha was found to be .95 for the pre-application and .96 for the main application. For the validity of the scale, exploratory and confirmatory factor analyses were performed. The exploratory factor analysis results revealed the scale to be a single-factor structure. When the factor loads of each relevant item were examined, no item was found to exist with a factor load value of less than .30. After confirmatory factor analysis was performed, the model fit indices of CFI, TLI, RMSEA, and SRMR values were found to be .91, .91, .06 and .06, respectively. These results show the model to be reliable to an acceptable level. Based on the findings, it could be concluded that the scale is an instrument that produces valid and reliable measures, and that it can be used in order to determine the preschool teachers’ pedagogical content knowledge regarding mathematics.

Kaynakça

  • Aksu, Z., & Kul, U. (2017). Turkish adaptation of the survey of pedagogical content knowledge in early childhood mathematics education. International Journal of Eurasia Social Sciences, 8(30), 1832-1848.
  • Anders, Y., Grosse, C., Rossbach, H., Ebert, S., & Weinert, S. (2013). Preschool and primary school influences on the development of children’s early numeracy skills between the ages of 3 and 7 years in Germany. School Effectiveness and School Improvement, 24(2), 195-211.
  • Anders, Y., & Rossbach, H.G. (2015). Preschool teachers’ sensitivity to mathematics in children’s play: The influence of math-related school experiences, emotional attitudes, and pedagogical beliefs. Journal of Research in Childhood Early Education, 29(3), 305-322.
  • Anthony, G., & Walshaw, M. (2009). Mathematics education in the early years: Building bridges. Contemporary Issues in Early Childhood, 10(2), 107-121. doi: http://dx.doi.org/10.2304/ciec.2009.10.2.107
  • Arnas, Y. (2006). Okul öncesi dönemde matematik eğitimi [Mathematics education in preschool], Adana: Nobel.
  • Aunola, K., Leskinen, E., Lerkkanen, M.K., & Nurmi, J.E. (2004). Developmental dynamics of math performance from preschool to grade 2. Journal of Educational Psychology, 96(4), 699-713.
  • Baranek, L. K. (1996). The effect of rewards and motivation on student achievement. Master’s thesis. Grand Valley State University, MI.
  • Basol, G. (2015). Eğitimde ölçme ve değerlendirme [Measurement and evaluation in education], Ankara: Pegem.
  • Berhenge, A. L. (2013). Motivation, self-regulation, and learning in preschool. (Doctoral Dissertation). University of Michigan, USA.
  • Bulut, S., & Tarım, K. (2006). Okul öncesi öğretmenlerinin matematik ve matematik öğretimine ilişkin algı ve tutumları [Perceptions and attitudes of preschool teachers about mathematics and mathematics teaching]. Çukurova Üniversitesi, Eğitim Fakültesi Dergisi, 2, 32-65.
  • Büyüköztürk, Ş. (2005). Anket geliştirme [Survey Development]. Türk Eğitim Bilimleri Dergisi, 3(2), 133-151.
  • Büyüköztürk, Ş. (2010). Sosyal bilimler için veri analizi el kitabı. istatistik, araştırma deseni SPSS uygulamaları ve yorum. değerlendirme [Data analysis handbook for social sciences statistics, research design SPSS applications and interpretation], Ankara: Pegem Akademi.
  • Büyüköztürk, Ş., Kılıç-Çakmak, E., Akgün, Ö. E., Karadeniz, Ş., & Demirel, F. (2008). Bilimsel Araştırma Yöntemleri (1st Ed.) [Scientific Research Methods], Ankara: Pegem.
  • Chace Pierro, R. (2015). Teachers’ knowledge, beliefs, self-efficacy, and implementation of early childhood learning standards in science and math in prekindergarten and kindergarten. (Master’s thesis). University of North Carolina, USA. Retrieved from https://libres.uncg.edu/ir/uncg/f/Pierro_uncg_0154M_11772.pdf
  • Claesens, A., & Engel, M. (2013). How important is where you start? Early mathematics knowledge and later school success. Teachers College Record, 115(6), 1-29.
  • Clements, D. H., & Sarama, J. (2014). Learning and teaching early math: The Learning Trajectories Approach (2nd Ed.). New York, NY: Routledge.
  • Clements, D. H., Sarama, J., & DiBiase, A.-M. (Eds.). (2004). Engaging young children in mathematics: Standards for early childhood mathematics education. Mahwah, NJ: Erlbaum.
  • Copley, J. V. (2010). The young child and mathematics (2nd Ed.). Washington DC: National Association for the Education of Young Children.
  • Cox, G. J. (2011). Preschool caregivers’ mathematical anxiety: examining the relationships between mathematical anxiety, and knowledge and beliefs about mathematics for young children (Doctoral Dissertation). Texas Woman’s University, Denton, TX.
  • Çelik, M. (2017). Okul öncesi öğretmenlerin erken matematik eğitimine ilişkin öz yeterliklerinin çeşitli değişkenler açısından incelenmesi [Pre-school teachers' self efficacy related to early maths education]. e-Kafkas Eğitim Araştırmaları Dergisi, 4(1), 1-10.
  • Çoban, A. (2002). Matematik dersinin ilköğretim programları ve liselere giriş sınavları açısından değerlendirilmesi [Evaluation of mathematics course in terms of primary education programs and high school entrance exams]. In Proceedings of the V. National Science and Mathematics Education Congress, Middle East Technical University, Ankara, Turkey. http://old.fedu.metu.edu.tr/ufbmek5/b_kitabi/PDF/Matematik/Bildiri/t219d.pdf
  • Dağlı, H., & Dağlıoğlı, H. E. (2017). Preschool teachers’ pedagogical content knowledge about mathematics. In I. Koleva & G. Duman (Eds.), Educational Research and Practice (pp. 124-129). Sofia, Bulgaria: St. Kliment Ohridski University Press.
  • Dağlıoğlu, H. E., Dağlı, H., & Kılıç, N. M. (2014). Okul öncesi eğitimi öğretmen adaylarının matematik eğitimi dersine karşı tutumlarının çeşitli değişkenler açısından incelenmesi [Examination of pre-school teacher candidates' attitudes towards mathematics education course in terms of various variables]. In Proceedings of the YILDIZ International Conference on Educational Research and Social Sciences Proceedings (pp. 293-304). İstanbul, Turkey, Pegem Akademi.
  • Dağlıoğlu, H. E., Genç, H., & Dağlı, H. (2017). Gelişimsel açıdan okul öncesi dönemde matematik eğitimi. [Developmental aspects of mathematics education in preschool period] In İ. Ulutaş (Ed.), Okul öncesi matematik eğitimi [Preschool math education], (pp. 12-36). Ankara, Turkey: Hedef CS.
  • Erdoğan, S. (2006). Altı yaş grubu çocuklarına drama yöntemi ile verilen matematik eğitiminin matematik yeteneğine etkisinin İncelenmesi [A study on the effect of mathematıcs educatıon gıven wıth drama method to sıx-years-old chıldren on mathematıcs ability]. (Doctoral Dissertation). Ankara University, Ankara, Turkey. Retrieved from https://tez.yok.gov.tr
  • Even, R., & Tirosh, D. (1995). Subject-matter knowledge and knowledge about students as sourches of teacher presentations of the subject-matter. Educational Studies in Mathematics, 29(1), 1-20.
  • Fisher, P. H. (2004). Early math interest and the development of math skills: an understudied relationship. (Doctoral Dissertation). University of Massachusetts, USA.
  • Frary, R. B. (1989). Partial-credit scoring methods for multiple-choice tests. Applied Measurement in Education, 2(1), 79-96.
  • Gersten, R., Chard, D. J., Jayanthi, M., Baker, S. K., Morphy, P., & Flojo, J. (2009). Mathematics instruction for students with learning disabilities: A meta-analysis of instructional components. Review of Educational Research, 79(3), 1202-1242.
  • Gifford, S. (2005). Teaching mathematics 3-5: developing learning in the foundation stage. London, United Kingdom: Open University Press.
  • Gökkurt, B., & Soylu, Y. (2016). Ortaokul matematik öğretmenlerinin matematiksel alan bilgilerinin incelenmesi: Prizma örneği [Examination of mathematical knowledge of secondary school mathematics teachers: Prism example]. Abant İzzet Baysal Üniversitesi Eğitim Fakültesi Dergisi, 16(2), 451-481.
  • Güven, B., Karataş, İ., Öztürk, Y., Arslan, S., & Gürsoy, K. (2013). Okul öncesi öğretmenlerinin ve öğretmen adaylarının okul öncesi matematik eğitimine ilişkin inançların belirlenmesine yönelik bir ölçek geliştirme çalışması [A scale development study to determine the beliefs of preschool teachers and teacher candidates’ about pre-school mathematics education]. İlköğretim Online, 12(4), 969-980.
  • Güven, Y. (1998). Kız ve erkek çocuklarda matematik yeteneği ve matematik başarısı konusunda okulöncesi ve ilkokul (ilköğretim) öğretmenlerinin görüşlerinin değerlendirilmesi [Evaluation of preschool and primary school teachers' views on mathematics ability and mathematics achievement in girls and boys]. Marmara Üniversitesi Atatürk Eğitim Fakültesi Eğitim Bilimleri Dergisi, 10, 121-138.
  • Hacısalihoğlu Karadeniz, M. (2011). Okul öncesi öğretmenlerinin sınıf içi matematik uygulamalarının okul öncesi eğitim programına uyumluluğu [Accordance of preschool teachers' classroom mathematics practices with preschool education program]. (Doctoral Dissertation), Karadeniz Technical University, Trabzon, Turkey.
  • Henniger, M. L. (1987). Learning mathematics and science through play. Childhood Education, 63(3), 167-171.
  • Jang, Y. J. (2013) Perspectives on mathematics education for young children (Doctoral dissertation). University of Illinois, USA.
  • Karakuş, H., Akman, B., & Ergene, Ö. (2018). Matematiksel Gelişim İnanç Ölçeği’ni Türkçeye uyarlama çalışması [The Turkish Adaptation Study of the Mathematical Development Beliefs Scale]. Eğitim ve Öğretim Dergisi, 8(2), 211-228.
  • Karasar, N. (2012). Bilimsel araştırma yöntemi [Scientific research method]. Ankara, Turkey: Nobel.
  • Kilday, C. R. (2010). Factors affecting children’s math achievement scores in preschool (Doctoral Dissertation). University of Virginia, USA.
  • Kline, R. B. (2016). Principles and practice of structural equation modeling (3rd ed.). New York, NY: Guilford.
  • Koç, F., Sak, R., & Kayri, M. (2015). Okul öncesi eğitim programındaki etkinliklere yönelik öz-yeterlik inanç ölçeğinin geçerlik ve güvenirlik analizi [Validity and reliability analysis of self-efficacy beliefs scale for activities in preschool education program], İlköğretim Online, 14(4), 1416-1427. doi: http://dx.doi.org/10.17051/io.2015.50571
  • MacCallum, R. C., Widaman, K. F., Preacher, K. J., & Hong, S. (2001). Sample size in factor analysis: the role of model error. Multivariate Behavioral Research, 36(4), 611-637.
  • Masters, G. N. (1988). The analysis of partial credit scoring. Applied Measurement in Education, 1(4), 279-297.
  • McCray, J. (2008). Pedagogical content knowledge for preschool mathematics: relationships to teaching practices and child outcomes (Doctoral Dissertation). Loyola University, Chicago, IL.
  • McCray J.S., & Chen,J.Q. (2012). Pedagogical content knowledge for preschool mathematics: construct validity of a new teacher ınterview, Journal of Research in Childhood Education, 26(3), 291-307.
  • McGrath, C. (2010). Supporting early mathematical development. New York, NY: Routledge.
  • Metin, N. (1994). Okul öncesi dönemde matematik eğitimi ve etkinlik örnekleri [Math education and activity examples in preschool period]. Ş. Bilir (Ed.), Okul öncesi eğitimciler için el kitabı [Handbook for preschool educators]. Istanbul, Turkey: Ya-Pa.
  • Milli Eğitim Bakanlığı (Turkish Ministry of National Education), (2013). Okul öncesi eğitim programı [Preschool education program]. Ankara, Turkey: Milli Eğitim Bakanlığı.
  • Mokrova, I. L. (2012). Motivation at preschool age and subsequent school success: role of supportive parenting and child temperament (Doctoral Dissertation). University of North Carolina, USA.
  • Mononen, R., & Aunio, P. (2013). Early mathematical performance in Finnish kindergarten and grade one. Lumat, 1(3), 245-262.
  • Mononen, R., Aunio, P., & Koponen, T. (2014). Investigating right start mathematics kindergarten instruction in Finland. Journal of Early Childhood Education Research, 3(1), 2-26.
  • National Association for the Education of Young Children & National Council of Teachers of Mathematics. (2010). Position statement. Early childhood mathematics: Promoting good beginnings. Retrieved from www.naeyc.org/resources/position_statements/psmath.htm
  • National Council of Teachers of Mathematics. (2000). Principles and Standards for school mathematics. Reston, VA: NCTM.
  • National Council of Teachers of Mathematics. (2009). Where We Stand. Reston, VA: NCTM. Retrieved from https://www.naeyc.org/files/naeyc/file/positions/ecmath.pdf
  • National Council of Teachers of Mathematics. (2013). Mathematics in Early Childhood Learning—NCTM position. Reston, VA: NCTM. Retrieved from http://www.nctm.org/uploadedFiles/Standards_and_Positions/Position_Statements/Early%20Childhood%20Mathematics%20(2013).pdf
  • Nicol, C., & Crespo, S. (2006). Learning to teach with mathematics textbooks: How pre-service teachers interpret and use curriculum materials. Educational Studies in Mathematics, 62(3), 331-355.
  • Nunnally, J. C. (1978). Psychometric theory. New York, NY: McGraw Hill.
  • Ontario Ministry of Education (OME). (2014). Doing Mathematics with Your Child, Kindergarten to Grade 6: A Parent Guide. Toronto, Ontario, Canada.
  • Parpucu, N., & Erdoğan, S. (2017). Okul öncesi öğretmenlerinin sınıf uygulamalarında matematik dilini kullanma sıklıkları ile pedagojik matematik içerik bilgileri arasındaki ilişki [The relationship between the frequency of mathematical language and pedagogical mathematic content knowledge of preschool teachers]. Erken Çocukluk Çalışmaları Dergisi, 1(1), 19-32. Doi: 10.24130/eccd.jecs.19672017118
  • Platas, L. M. (2008). Measuring teachers’ knowledge of early mathematical development and their beliefs about mathematics teaching and learning in the preschool classroom (Doctoral Dissertation). University of California, USA.
  • Sammons, P., Elliot, K., Sylva, K., Melhuish, E., Siraj-Blatchford, I., & Taggart, B. (2004). The impact of pre-school on young children’s cognitive attainment at entry to reception. British Educational Research Journal, 30(5), 691-712.
  • Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Research, 15(2), 4-14.
  • Şeker, P. T., & Alisinanoğlu, F. (2015). A survey study of the effects of preschool teachers’ beliefs and self-efficacy towards mathematics education and their demographic features on 48-60 month-old preschool children’s mathematic skills. Creative Education, 6(3), 405-414. doi: 10.4236/ce.2015.63040
  • Tanışlı, D. (2013). İlköğretim matematik öğretmeni adaylarının pedagojik alan bilgisi bağlamında sorgulama becerileri ve öğrenci bilgileri [Preservice primary school mathematics teachers’ questioning skills and knowledge of students in terms of pedagogical content knowledge]. Eğitim ve Bilim, 38(169), 80-95.
  • Tella, A. (2007). The impact of motivation on student’s academic achievement and learning outcomes in mathematics among secondary school students in Nigeria. Eurasia Journal of Mathematics, Science & Technology Education, 3(2), 149-156.
  • Thorndike, R. M. (2005). Measurement and evaluation in psychology and education (7th ed.). Upper Saddle River, NJ: Pearson.
  • Türkiye İstatistik Kurumu Başkanlığı [Turkish Statistical Institute] (TÜİK). (2012). Gelir ve yaşam koşulları araştırması mikro veri seti (Kesit) [Income and living conditions research micro data set (Section)]. Ankara, Turkey: TÜİK. Retrieved from http://www.tuik.gov.tr/MicroVeri/GYKA_2012/turkce/metaveri/siiniiflamalar/index.html
  • Umay, A. (2003). Matematiksel muhakeme yeteneği [Mathematıcal Reasonıng Ability]. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 24, 234-243.
  • Watts, T. W., Duncan, G. J., Clements, D. H., & Sarama, J. (2017). What is the long-run impact of learning mathematics during preschool? Child Development, 89(2), 539-555. DOI: 10.1111/cdev.12713
  • Yurdugül, H. (2005). Ölçek geliştirme çalışmalarında kapsam geçerliği için kapsam geçerlik indekslerinin kullanılması [Using scope validity indices for scope validity in scale development studies]. In Proceedings of the Pamukkale University, XIV. National Educational Sciences Congress, Pamukkale University, Denizli, Turkey.
  • Zhang, Y. (2015) Pedagogical content knowledge in early mathematics: what teachers know and how it associates with teaching and learning (Doctoral dissertation). Loyola University, Chicago, IL.
Toplam 71 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Eğitim Üzerine Çalışmalar
Bölüm Makaleler
Yazarlar

Hatice Dağlı 0000-0002-0788-0413

Hacer Elif Dağlıoğlu 0000-0002-7420-815X

Erkan Hasan Atalmış 0000-0001-9610-491X

Yayımlanma Tarihi 5 Ocak 2020
Gönderilme Tarihi 18 Temmuz 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 6 Sayı: 4

Kaynak Göster

APA Dağlı, H., Dağlıoğlu, H. E., & Atalmış, E. H. (2020). Development of a Preschool Teachers’ Pedagogical Content Knowledge Scale regarding Mathematics. International Journal of Assessment Tools in Education, 6(4), 617-635. https://doi.org/10.21449/ijate.593636

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