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• Acar, T. (2011). Maddenin Farklı Fonksiyonlaşmasında Örneklem Büyüklüğü: Genelleştirilmiş Aşamalı Doğrusal Modelleme Uygulaması. Kuram ve Uygulamada Eğitim Bilimleri 11(1), 279-288.
• Bauer D. J. (2003). Estimating Multilevel Linear Models as Structural Equation Models. Journal of Educational and Behavioral Statistics. Vol. 28, No. 2, pp. 135-167.
• Behr, M. J., Harel, G., Post, T., & Lesh, R. (1992). Rational number, ratio, and proportion. In D. A.Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 296–333). New York: Macmillan.
• Binici, S. (2007). Random-effects differential item functioning via hierarchical generalized linear model and generalized linear latent mixed model: A comparison of estimation methods. Unpublished doctoral dissertation, Florida State University.
• Birgin, O. & Gürbüz, R. (2009). İlköğretim İkinci Kademe Öğrencilerinin Rasyonel Sayılar Konusundaki İşlemsel ve Kavramsal Bilgi Düzeylerinin İncelenmesi. Uludağ Üniversitesi Eğitim Fakültesi Dergisi, 22(2), 529-550.
• Bulgar, S. (2003). Children’s sense-making of division of fractions. Journal of Mathematical Behavior, 22, 319-334.
• Carpenter, T. (1988). Teaching as problem solving. In R. Charles, & E. Silver (Eds.), The teaching and assessing of mathematical problem solving (pp. 187–202). Reston, VA: National Council of Teachers of Mathematics.
• Chaimongkol, S. (2005). Modeling differential item functioning (dif) using multilevel logistic regression models: A Bayesian Perspective. Unpublished doctoral dissertation. Florida State University.
• Chu KL, Kamata A.(2005). Test equating in the presence of DIF items. Journal of Appl Meas. 6(3):342-54.
• Davis, R. B., & Maher, C. A. (1990). What do we do when we ‘do mathematics’? In: N. Noddings (Ed.), Constructivist views of the teaching and learning of mathematics (Vol. Monograph No. 4). Reston, VA: National Council of Teachers of Mathematics.
• De Corte, E., Greer, B., & Verschaffel, L. (1996). Mathematics teaching and learning. In D. C. Berliner,& R. C. Calfee (Eds.), Handbook of educational psychology (pp. 491–549). New York: Macmillan.
• De Corte, E., Verschaffel, L., & Pauwels, A. (1990). Influence of the semantic structure of word problems on second graders’ eye movements. Journal of Educational Psychology, 82, 359–365.
• Fischbein, E., Deri, M., Nello, M. S., & Marino, M. S. (1985). The role of implicit models in solving verbal problems in multiplication and division. Journal for Research in Mathematics Education, 1985(16), 3–17.
• Greeno, J. G. (1991). Number sense as situated knowing in a conceptual domain. Journal for Research in Mathematics Education, 22(3), 170–218.
• Kamata, A. (2001). Item Analysis by the Hierarchical Generalized Linear Model. Journal of Educational Measurement. Vol. 38, No. 1 (Spring, 2001) , pp. 79- 93.
• Kamata, A., Bauer, D.J. & Miyazaki, Y. (2008). Multilevel measurement modeling. In A.A. O'Connell & D.B. McCoach (Eds.) Multilevel Modeling of Educational Data (pp. 345-388). Charlotte, NC: Information Age Publishing.
• Kamata, A. (2001). Item Analysis by the Hierarchical Generalized Linear Model. Journal of Educational Measurement, 38, 79-93.
• Kamata, A., & Binici, S. (2003). Random Effect DIF Analysis via Hierarchical Generalized Linear Modeling. Paper presented at the biannual meeting of Psychometric Society, July, Sardinia, Italy.
• Kamata, A., & Vaughn, B. K. (2004). An Introduction to Differential Item Functioning Analysis. Learning Disabilities: A Contemproary Journal, 2(2), 49-64.
• Kamata, A., Chaimongkol, S., Genc, E., & Bilir, K. (2005). Random-Effect Differential Item Functioning Across Group Unites by the Hierarchical Generalized Linear Model. Paper presented at the annual meeting of the American Educational Research Association, April, Montreal, Canada.
• Kim, W. (2003). Development of a differential item functioning (DIF) procedure using the hierarchical generalized model: a comparison study with logistic regression procedure. Unpublished doctoral dissertation. Pennsylvania State University.
• Lamon, S. J. (1999). Teaching fractions and ratios for understanding. Mahwah, NJ, USA: Lawrence Erlbaum Associates, Inc.
• Lehtinen, E., Merenluoto, K., & Kasanen, E. (1997). Conceptual change in mathematics: from rational to (un)real numbers. European Journal of Psychology of Education, XII(2), 131–145.
• Luppescu, S. (2002). DIF detection in HLM. Paper presented at the annual meeting of the American Educational Research Association, New Orleans.
• Maher, C. A., and Alston, A. (1989). Is meaning connected to symbols? An interview with Ling Chen. The Journal of Mathematical Behavior, 8(3), 241-248.
• Miyazaki, Y.& Kenneth A. F. (2006). A Hierarchical Linear Model with Factor Analysis Structure at Level 2. Journal of Educational and Behavioral Statistics.Vol. 31, No. 2, pp. 125-156.
• R Development Core Team (2012). R: A language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria.
• Raudenbush, S.W., Bryk, A.S, & Congdon, R. (2004). HLM 6 for Windows. Hierarchical linear and non-linear modeling. Lincolnwood, IL: Scientific Software International.
• Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical linear models: Applications and data analysis methods. 2nd edition. Sage Publications Inc. Newbury, CA.
• Resnick, L. B., & Ford, W. W. (1981). The psychology of mathematics for instruction. Hillsdale, NJ: Lawrence Erlbaum Associates.
• Resnick, L. B., Nesher, P., Leonard, F., Magone, M., Omanson, S., & Peled, I. (1989). Conceptual bases of arithmetic errors: the case of decimal fractions. Journal of Research in Mathematics Education, 20(1), 8–27.
• Resnick, L. B., & Omanson, S. (1987). Learning to understand arithmetic. In R. Glaser (Ed.), Advances in instructional psychology, Vol. 3. (pp. 41–95). Hillsdale, NJ: Erlbaum.
• Skrondal, A. & Rabe-Hesketh, S. (2004). Generalized Latent Variable Modeling: Multilevel, Longitudinal, and Structural Equation Models. New York: Chapman & Hall/CRC.