- Ainsworth, S., & Th Loizou, A. (2003). The effects of self-explaining when learning with text or diagrams. Cognitive Science, 27(4), 669–681. https://doi.org/10.1016/S0364-0213(03)00033-8 [Google Scholar] [Crossref]
- Akay, A. (2004). İlköğretim 2. sınıf öğrencilerinin okuduğunu anlama becerilerinin matematik problemlerini çözme başarısına etkisi. (Unpublished Doctoral Thesis). Marmara University, Istanbul, Turkey. [Google Scholar]
- Berends, I. E., & van Lieshout, E. C. (2009). The effect of illustrations in arithmetic problem-solving: Effects of increased cognitive load. Learning and Instruction, 19(4), 345-353. https://doi.org/10.1016/j.learninstruc.2008.06.012 [Google Scholar] [Crossref]
- Boonen, A. J., van Wesel, F., Jolles, J., & van der Schoot, M. (2014). The role of visual representation type, spatial ability, and reading comprehension in word problem solving: An item-level analysis in elementary school children. International Journal of Educational Research, 68, 15-26. https://doi.org/10.1016/j.ijer.2014.08.001 [Google Scholar] [Crossref]
- Booth, J. L., & Koedinger, K. R. (2012). Are diagrams always helpful tools? Developmental and individual differences in the effect of presentation format on student problem solving. British Journal of Educational Psychology, 82(3), 492-511. https://doi.org/10.1111/j.2044-8279.2011.02041.x [Google Scholar] [Crossref]
- Büyüköztürk, Ş., Kılıç Çakmak, E., Akgün, Ö. E., Karadeniz, Ş., & Demirel, F. (2011). Araştırma yöntemleri [Research methods]. Ankara: Pegem Akademi. [Google Scholar]
- Carpenter, T. P., & Moser, J. M. (1984). The acquisition of addition and subtraction concepts in grades one through three. Journal for Research in Mathematics Education, 15 (3), 179–202. https://doi.org/10.5951/jresematheduc.15.3.0179 [Google Scholar] [Crossref]
- Cohen, L., Manion, L. and Morrison, (2000). Research methods in education (5th ed.). London: Routledge Falmer. [Google Scholar]
- Cooper, J. L., Sidney, P. G., & Alibali, M. W. (2018). Who benefits from diagrams and illustrations in math problems? Ability and attitudes matter. Applied Cognitive Psychology, 32(1), 24–38. https://doi.org/10.1002/acp.3371 [Google Scholar] [Crossref]
- Çilingir-Altıner, E. (2020). The reflection of the visual chunking and colouring applications on elementary school students’ geometry success. Kara Ö. T., Ulum Ö. G. (Ed.). In Studies in subject specific education (pp. 103-118), Akademisyen Yayınevi, Ankara. [Google Scholar]
- Davenport, J., Yaron, D., Klahr, D., & Koedinger, K. (2008).When do diagrams enhance learning? A framework for designing relevant representations. Proceedings of the 8th International Conference on the Learning Sciences (pp. 191–198). Mahwah, NJ: Lawrence Erlbaum Associates, Inc. [Google Scholar]
- De Corte, E., & Verschaffel, L. (1981). Children’s solution processing in elementary arithmetic problems: Analysis and improvement. Journal of Educational Psychology, 73 (6), 765– 779. https://doi.org/10.1037/0022-0663.73.6.765 [Google Scholar] [Crossref]
- Dewolf, T., Van Dooren, W., Ev Cimen, E., & Verschaffel, L. (2014). The impact of illustrations and warnings on solving mathematical word problems realistically. The Journal of Experimental Education, 82(1), 103-120. https://doi.org/10.1080/00220973.2012.745468 [Google Scholar] [Crossref]
- Dufour-Janvier, B., Bednarz, N., & Belanger, M. (1987). Pedagogical considerations concerning the problem of representation. In C. Janvier (Ed.), Problems of representation in the teaching and learning of mathematics. Hillsdale, NJ: LEA [Google Scholar]
- Foong, P. Y., & Koay, P. L. (1997). School word problems and stereotyped thinking. Teaching and Learning, 18(1),73-82 Retrieved from https://repository.nie.edu.sg/bitstream/10497/392/1/TL-18-1-73.pdf [Google Scholar]
- Hegarty, M., & Kozhevnikov, M. (1999). Types of visual–spatial representations and mathematical problem solving. Journal of educational psychology, 91(4), 684 –689. https://doi.org/10.1037/0022-0663.91.4.684 [Google Scholar] [Crossref]
- Hembree, R. (1992). Experiments and relational studies in problem solving: A meta-analysis. Journal for Research in Mathematics Education, 23(3), 242-273. https://doi.org/10.5951/jresematheduc.23.3.0242 [Google Scholar] [Crossref]
- Koedinger, K. R., & Nathan, M. J. (2004). The real story behind story problems: Effects of representations on quantitative reasoning. The Journal of the Learning Sciences, 13 (2), 129– 164. https://doi.org/10.1207/s15327809jls1302_1 [Google Scholar] [Crossref]
- Koedinger, K. R., Alibali, M. W., & Nathan, M. J. (2008). Trade‐offs between grounded and abstract representations: Evidence from algebra problem solving. Cognitive Science, 32(2), 366-397. https://doi.org/10.1080/03640210701863933 [Google Scholar] [Crossref]
- Lee, K., Ng, E., & Ng, S. F. (2009). The contributions of working memory and executive functioning to problem representation and solution generation in algebraic word problems. Journal of Educational Psychology, 101(2), 373–387. https://doi.org/10.1037/a0013843 [Google Scholar] [Crossref]
- Lester, F. K. (1994). Musings about mathematical problem-solving research: 1970-1994. Journal for research in mathematics education, 25(6), 660-675. https://doi.org/10.5951/jresematheduc.25.6.0660 [Google Scholar] [Crossref]
- Logan, T., & Ho, S. Y. (2013). The Classic Word Problem: The Influence of Direct Teaching. V. Steinle, L. Ball, C. Bardini (Eds.), Mathematics Education: Yesterday, Today and Tomorrow (Proceedings of the 36th Annual Conference of the Mathematics Education Research Group of Australasia (2013), pp. 743-746 [Google Scholar]
- Lowrie, T. (2020). The utility of diagrams in elementary problem solving. Cognitive Development, 55, 100921, 1-12. https://doi.org/10.1016/j.cogdev.2020.100921 [Google Scholar] [Crossref]
- Magner, U. I., Schwonke, R., Aleven, V., Popescu, O., & Renkl, A. (2014). Triggering situational interest by decorative illustrations both fosters and hinders learning in computer-based learning environments. Learning and instruction, 29, 141-152. https://doi.org/10.1016/j.learninstruc.2012.07.002 [Google Scholar] [Crossref]
- Mayer, R. (1993). Illustrations that instruct. In R. Glaser (Ed.), Advances in instructional psychology (Vol. 4, pp. 253–284). Hillsdale, NJ: LEA. [Google Scholar]
- Millî Eğitim Bakanlığı [Ministry of National Education]. (2018). Milli Eğitim Bakanlığı matematik dersi öğretim programı [Ministry of National Education mathematics course curriculum], Ankara. Retrieved from http://mufredat. meb. gov. tr/Dosyalar/201813017165445-MATEMAT% C4% B0K, 20, C3. [Google Scholar]
- Özkubat, U., Karabulut, A., & Akçayır, İ. (2020). Şemalarla matematik problemi çözme: Öğrenme güçlüğü olan öğrencilerle yürütülen şema temelli öğretim araştırmalarının incelenmesi. Ondokuz Mayıs Üniversitesi Eğitim Fakültesi Dergisi, 39(2), 327-342. DOI: 10.7822/omuefd.774137 [Google Scholar]
- Pape, S. J. (2004). Middle school children's problem-solving behavior: A cognitive analysis from a reading comprehension perspective. Journal for Research in Mathematics Education, 35(3), 187-219. https://doi.org/10.2307/30034912 [Google Scholar] [Crossref]
- Sloutsky, V. M., Kaminski, J. A., & Heckler, A. F. (2005). The advantage of simple symbols for learning and transfer. Psychonomic bulletin & review, 12(3), 508-513. https://doi.org/10.3758/BF03193796 [Google Scholar] [Crossref]
- Suwarsono, S. (1982). Visual imagery in the mathematical thinking of seventh grade students. Unpublished doctoral dissertation, Monash University, Melbourne, Australia [Google Scholar]
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