Abbaspour, A., & Faramarzi, S. (2022). The effect of educational interventions based on Piaget's cognitive approach on mathematics performance of students with specific learning disabilities. Journal of Cognitive Sciences, 24(1), 12–27. [Persian]
Alizadeh, S. (2021). The effect of game-based learning method on academic achievement in mathematics and academic happiness of first-grade elementary students (Master's thesis). University of Tehran, Faculty of Psychology and Educational Sciences. [Persian]
Ariafar, Z. (2003). Cognitive development and mathematics performance of elementary school students. Quarterly Journal of Educational Innovations, 5(2), 123-138. [Persian]
Askari, S. S., Rostami Malkhalifeh, M., Shahvarani, A., & Karimi, Y. (2011). Effectiveness of constructivism theory in teaching mathematics at middle school level. Journal of Applied Mathematics, 8(2), 81–93. [Persian]
Bahrangi, M. R., & Shahabasi, M. (2017). Investigating the effect of integrating design and color in the educational management model on mathematics learning of third-grade elementary students. Management of Educational Organizations, 6(2), 35-58. [Persian]
Bani Hashemi Emam Qeysi, S. F., Alizadeh, H., Ghaedamini Harouni, G., Ahmadi, A., & Pourmohammadreza Tajrishi, M. (2022). The effect of basic skills programs on quantitative reasoning, mathematics performance and working memory in preschool children. Journal of Health and Education in Childhood, 3(2), 33–56. [Persian]
Baroody, A. J., Clements, D. H., & Sarama, J. (2019). Teaching and learning mathematics in early childhood programs. In C. Brown, M. B. McMullen & N. File (Eds.), Handbook of Early Childhood Care and Education (1st ed., pp. 329-353). Hoboken, NJ: Wiley Blackwell Publishing.
Braak, D. T., Lenes, R., Purpura, D. J., Schmitt, S. A., & Størksen, I. (2022). Why do early mathematics skills predict later mathematics and reading achievement? The role of executive function. Journal of Experimental Child Psychology, 214, 105306, 1-18.
Clements, D. H., & Sarama, J. (2020). Learning and teaching early math: The learning trajectories approach (2nd ed.). Routledge.
Dubinsky, E. (2002). Reflective abstraction in advanced mathematical thinking. In D. Tall (Ed.), Advanced mathematical thinking. (95-123). Dorfrecht: Kluwer Academic Publishers.
Dumas, D., McNeish, D., Sarama, J., & Clements, D. (2019). Preschool mathematics intervention can significantly improve student learning trajectories through elementary school. AERA Open, 5(4), 1-15.
Dyson, N. I., Jordan, N. C. & Glutting, J. (2011). A number sense intervention for low-income kindergartners at risk for mathematics difficulties. Journal of Learning Disabilities, 46(2), 166–181.
Elsayed, S, A, M & Nasef, H, M. (2021). The Effectiveness of a Mathematics Learning Program Based on the Mind Habits in Developing Academic Achievement Motivation and Creative Thinking among Prince Sattam Bin Abdulaziz University Students. International Journal of Higher Education, 10(1), 55-75.
Enayati Kharzoghi, A. R. (2021). Investigating the effect of mathematics teaching using open-response problem-solving strategy on students' mathematical thinking (Master's thesis). Higher Education Institute of Fan va Danesh, Saveh, Department of Mathematics Education. [Persian]
Ghasemi, M., Dortaj, F., Saedipour, E., Delavar, A., & Sarabi, S. (2017). Effectiveness of number sense training on improving number skills of preschool children at risk for mathematical problems. Quarterly Journal of Psychology of Exceptional Individuals, 7(27), 1–29. [Persian]
Ghasemtabar, S. N., Mofidi, F., Mohammadi Alizadeh, & Ghasemtabar, S. A. (2011). The effect of music education on basic mathematics skills of preschool children. Quarterly Journal of Developmental Psychology: Iranian Psychologists, 7(27), 245–254. [Persian]
Goya, Z., & Ghadaksaz Khosroshahi, L. (2009). How do students use personal criteria for estimating size? Quarterly Journal of Curriculum Studies, 3(10), 1–19. [Persian]
Hadizadeh, M., Mahdavi, A. A., & Davoudabadi, E. (2014). Mathematics education in preschool. First National Conference on Sustainable Development in Educational Sciences and Psychology, Social and Cultural Studies, Tehran, Iran. [Persian]
Hornburg, C. B., Schmitt, S. A., & Purpura, D. J. (2018). Relations between preschoolers’ mathematical language understanding and specific numeracy skills. Journal of experimental child psychology, 176, 84-100.
Mahmoudi, Z., Mohammadi Aria, A. R., Karimzadeh, M., & Rezasoltani, P. (2018). Investigating the effect of educational computer games on learning basic mathematics skills in preschool children in Kerman city. Quarterly Journal of Information and Communication Technology in Educational Sciences, 3(31), 65–89. [Persian]
Malekzadeh, L., Hejazi, E., Talkhabi, M., & Naghsh, Z. (2020). Effectiveness of scientific thinking training on problem-solving skills in preschool children: Design and application of a new problem-solving tool. Journal of Psychology, 24(3), 351–366. [Persian]
McClelland, M. M., John Geldhof, G., Cameron, C. E., & Wanless, S. B. (2015). Development and self‐regulation. Handbook of child psychology and developmental science, pp. 1-43.
Mohammad Esmaeil, E., & Hooman, H. A. (2002). Adaptation and standardization of the KeyMath mathematics test in Iran. Research in Exceptional Children, 2(4), 322–332. [Persian]
Mohammadzadeh Chiane, E., Soltanzadeh, H., Dehbashi Sharif, & Keramati, G. (2020). The role of mathematical thinking in promoting architecture students' ability in logical aspects of design. Educational Technology, 14(3), 616–628. [Persian]
Morgan, P. L., Farkas, G., & Wu, Q. (2009). Five-year growth trajectories of kindergarten children with learning difficulties in mathematics. Journal of Learning Disabilities, 42(4), 306–321.
Mrayan, S. (2014). The Impact of Constructivism Learning In Mathematics Teaching On Academic Achievement And Mathematical Thinking Among Students In A college Algebra Course For First Year Students In Vocational Education. International journal of development research, 4 (11), 2175-2182.
Mulligan, J. T., & Mitchelmore, M. C. (2013). Early awareness of mathematical pattern and structure. In Reconceptualizing early mathematics learning (pp. 29-45). Dordrecht: Springer Netherlands.
Mullis, I. V. S., Martin, M. O., Foy, P., Kelly, D. L., & Fishbein, B. (2020). TIMSS 2019 International Results in Mathematics and Science. Retrieved from Boston College, 29- TIMSS & PIRLS International Study Center.
Nesbitt, K. T., Fuhs, M. W., & Farran, D. C. (2019). Stability and instability in the co-development of mathematics, executive function skills, and visual-motor integration from prekindergarten to first grade. Early Childhood Research Quarterly, 46, 262-274.
Nguyen, T., Watts, T. W., Duncan, G. J., Clements, D. H., Sarama, J. S., Wolfe, C., & Spitler, M. E. (2016). Which preschool mathematics competencies are most predictive of fifth grade achievement? Early childhood research quarterly, 36, 550-560.
Pollarolo, E., Skarstein, T. H., Størksen, I. & Kucirkova, N. (2023). Mathematics and higher-order thinking in early childhood education and care (ECEC). Nordisk barnehageforskning, Special issue: Matematikk i barnehagen, 20(2), 70–88.
Purpura, D. J., Napoli, A. R., Wehrspann, E. A., & Gold, Z. S. (2017). Causal connections between mathematical language and mathematical knowledge: A dialogic reading intervention. Journal of Research on Educational Effectiveness, 10(1), 116-137.
Pyle, A., & DeLuca, C. (2016). Assessment in play-based kindergarten classrooms: An empirical study of teacher perspectives and practices. The Journal of Educational Research, 110(5), 457–466.
Pyle, A., De Luca, C., & Danniels, E. (2017). A scoping review of research on play-based pedagogies in kindergarten education. Review of Education, 5(3), 311-351.
Rezapour Mirsaleh, Y., Delavari, M., & Soleimani, M. (2016). Effectiveness of mathematical thinking training on mathematics performance of second-grade male students. Research in Educational Systems, 35, 163–186. [Persian]
Rouhi, A., & Heshjin, A. B. (2011). The effect of preschool education on the development of oral skills of Azeri-speaking students in the first grade of elementary school. Quarterly Journal of Educational Innovations, 39(10), 25–50. [Persian]
Sachdeva, S., & Eggen, P. O. (2021). Learners’ ccritical thinking about learning mathematics. International Electronic Journal of Mathematics Education, 16(3), em0644,1-18.
Schneider, M., Grabner, R. H., & Paetsch, J. (2009). Mental number line, number line estimation, and mathematical achievement: their interrelations in grades 5 and 6. Journal of Educational Psychology, 101(2), 359-372.
Schorr, R. Y. (2000). Impact at the student level, a study of the effects of a teacher development intervention on students’ mathematical thinking. The Journal of Mathematical Behavior, 19(2), 209-231.
Shakeri, S., & Fathi, M. R. (2022). The role of gamification in the effectiveness of education in preschool and elementary school. International Journal of Nations Research, 7(77), 149–167. [Persian]
Shirani Bidabadi, N., Nasr Esfahani, A. R., Mirshah Jafari, E., & Abedi, A. (2020). Investigating the effectiveness of practical mathematics training in preschool on mathematical competence and learning behaviors of children. Quarterly Journal of Educational Psychology, 16(58), 71–93. [Persian]
Shirani Bidabadi, N., Nasr Esfahani, A. R., Mirshah Jafari, E., & Abedi, A. (2017). How to teach creativity-oriented mathematics in Isfahan preschool centers. Innovation and Creativity in Humanities, 7(2), 189–216. [Persian]
Skarstein, T. H., & Ugelstad, I. B. (2020). Outdoors as an arena for science learning and physical education in kindergarten. European Early Childhood Education Research Journal, 28(6), 923-938.
Skemp, R. (2002). Realational uuderestanding and instrumental understanding, in Tall, D., & Thomas, M. O. J. (Eds). Intelligence, learning and understanding in mathematics: A tribute to Richard Skemp (pp 1-16). Post Pressed.
Soleimani, S., Ahmadi, A., & Ahghar, G. (2019). Effectiveness of cognitive constructivism approach training on learning and retention of sixth-grade students in mathematics. Research in School and Virtual Learning, 1(25), 25–34. [Persian]
Sumpter, L. (2019). Preschool educators’ emotional directions towards mathematics. International Journal of Science and Mathematics Education.18 (2), 69-84.
VanDerHeyden, A. M., & Burns, M. K. (2010). Essentials of response to intervention. Published by John Wiley & Sons, Inc., Hoboken, New Jersey. Published simultaneously in Canada.
Watson, A. (2001). Instances of mathematical thinking among low attaining students in an ordinary secondary classroom. The Journal of Mathematical Behavior, 20(4), 461-475.
Zainivand Nejad, F. (2015). Conceptual explanation of mathematical thinking: What, why and how. Bi-Quarterly Journal of Higher Education Curriculum Studies, 6(21), 153–172. [Persian]
