The increase in the flow of information in the field of sciences requires the improvement of technologies that serve to master it, and the introduction of new technologies. Learning materials consist of variables, characters, etc. However, mastering educational materials is not just learning symbols, but most importantly, being able to apply knowledge in everyday life. And abstract educational materials are very important in mastering science. This article explores the pedagogical possibilities of introducing the CPA (Concrete-Pictorial-Abstract) approach to primary education. Based on the analysis, it became clear that the CPA (Concrete-Pictorial-Abstract) approach has not been thoroughly studied by local scientists and its possibilities have not been analyzed.

Cognitive, enactive, figurative

Assude, T. (2005). Time management in the work economy of a class, a case study: Integration of Cabri in primary school mathematics teaching. Educational Studies in Mathematics, 59(1-3), 183-203.

Butler, F. M., Miller, S. P., Crehan, K., Babbit, B., & Pierce, T. (2003). Fraction instruction for students with mathematics disabilities: Comparing two teaching sequences. Learning Disabilities Research and Practice, 18, 99-111.

Edge, D. (2006). Teaching and learning. In Lee, P. Y. (Ed.), Teaching Primary school mathematics: A resource book (pp. 29-46). Singapore: McGraw-Hill.

Flores, M. M. (2010). Using the concrete-representational-abstract sequence to teacher subtraction with regrouping to students at risk for failure. Remedial and Special Education, 31(3), 195-207.

Fuchs, L. S., Fuchs, D., & Hollenbeck, K. N. (2007). Extending responsiveness to intervention to mathematics at first and third grades. Learning Disabilities Research and Practice, 22(1), 13-14.

Goldstone, R. L., & Son, J. Y. (2005). The transfer of scientific principles governing complex adaptive systems. Cognitive Psychology, 46, 414-466.

Gravemeijer, K. (2002). Preamble: from models to modeling. In K. Gravemeijer, R. Lehrer, B. Oers, & L. Verschaffel (Eds.), Symbolising, modeling and tool use in mathematics education (pp. 7-22). Dordrecht, The Netherlands: Kluwer.

Jerome S. Bruner. Toward a Theory of Instruction. The Belknap press of Harvard university press Cambridge Massachusetts. 1966. Chapter 3.

Jordan, L., Miller, M., & Mercer, C. D. (1998). The effects of concrete to semi-concrete to abstract instruction in the acquisition and retention of fraction concepts and skills. Learning Disabilities: A Multidisciplinary Journal, 9, 115-122.

Ketterlin-Geller, L. R., Chard, D. J., & Fien, H. (2008). Making connections in mathematics: Conceptual mathematics intervention for low-performing students. Remedial and Special Education, 29(1), 33-45.

Kho, T. H., Yeo, S. M., & Lee, J. (2009). The Singapore model method for learning mathematics. Singapore: Panpac Education.

Lehrer, R., & Schauble, L. (2002). Symbolic communication in mathematics and science: co-constituting inscription and thought. In E. D. Amsel, & J. P. Bymes (Eds.), Language, literacy, and cognitive development. The development and consequences of symbolic communication (pp. 167-192). Mahwah, NJ: Lawrence Erlbaum Associates.

Leong Yew Hoong, Ho Weng Kin and Cheng Lu Pien. Concrete-Pictorial-Abstract: Surveying its origins and charting its future. The Mathematics Educator. 2015, Vol. 16, No.1, 1-18. Retrieved from http://math.nie.edu.sg/ame/matheduc/tme/tmeV16_1/TME16_1.pdf

Leong, Y. H., Yap, S.F., Teo, M. L., Thilagam, S., Karen, I., Quek, E. C., & Tan K. L. (2010). Concretising factorisation of quadratic expressions. The Australian Mathematics Teacher, 66(3), 19-25.

Leong, Y.H, & Chick, H.L. (2011). Time pressure and instructional choices when teaching mathematics. Mathematics Education Research Journal, 23(3), 347-362.

Lewis, C. (2002). Lesson Study: A handbook of teacher-led instructional improvement. PA: Research for Better Schools.

Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers’ understanding of fundamental mathematics in China and the United States. Mahwah, NJ: Lawrence Erlbaum.

Maccini, P., & Hughes, C. A. (2000). Effects of a problem solving strategy on the introductory algebra performance of secondary students with learning disabilities. Learning Disabilities Research and Practice, 75(1), 10-21.

Marcelo Staricoff. The Joy of Not Knowing: A Philosophy of Education Transforming Teaching, Thinking, Learning and Leadership in Schools Paperback – 31 Dec. 2020.

McNeil, N. M., & Fyfe, E. R. (2012). “Concreteness fading” promotes transfer of mathematical knowledge. Learning and Instruction, 22, 440-448.

O‘zbek tilining izohli lug‘ati. A.Madvaliyev tahriri ostida. “O‘zbekiston milliy ensiklopediyasi” Davlat ilmiy nashriyoti. Toshkent. 2006-2008-yillar.

Pedagogika: ensiklopediya. II jild / tuzuvchilar: jamoa. – Toshkent: “O‘zbekiston milliy ensiklopediyasi” Davlat ilmiy nashriyoti, 2015. -376 bet.

Reisman, F. K. (1982). A guide to the diagnostic teaching of arithmetic (3rd ed.). Columbus, OH: Merill.

Skemp, R.R. (1986). The psychology of learning Mathematics, Penguin.

Stepanek, J., Appel, G., Leong, M., Mangan, M. T., & Mitchell, M. (2007). Leading Lesson Study: A practical guide for teachers and facilitators. CA: Corwin Press.

Bobrova L.A. 2016. 03. 004. Knyazeva E. N. Enactivism: a new form of constructivism in epistemology. - M.; St. Petersburg : Center for Humanitarian Initiatives: University Book, 2014. – 352. MAGAZINE: Social and Humanities. Domestic and foreign literature. Ser. 3, Philosophy: Abstract Journal 2016.