رضایی، اعظم (1393). بررسی تأثیر آموزش راهبرد رسم شکل به معلمان پایة هفتم بر عملکرد حل مسئلة دانشآموزان آنها. پایاننامة کارشناسی ارشد، دانشگاه تربیت دبیر شهید رجایی تهران.
ریحانی، ابراهیم، یافتیان، نرگس، و رضایی، اعظم (1398). تأثیر آموزش حل مسئله با تأکید بر راهبرد رسم شکل و روش مدل بر عملکرد حل مسئلة کلامی دانشآموزان پایة هفتم. رویکردهای نوین آموزشی، 108-78.
Arcavi, A. (2003). The role of visual representations in the leering of mathematics. Educational Studies in Mathematics, 52, 215–241.
Asghary, N., Shahvarani, A., & Medghalchi, A. R. (2013). Significant process of change for elementary teachers to foster functional thinking. Bolema, 27(47), 1007-1026.
Ceylan, Ş. E. N., & Güler, G. (2017). Effect of strategy teaching for the solution of ratio problems on students' proportional reasoning skills. MOJES: Malaysian Online Journal of Educational Sciences, 5(2), 1-15.
Dole, S., Hilton, A., & Hilton, G. (2015). Proportional reasoning as essential numeracy. In Annual Conference of the Mathematics Education Research Group of Australasia. Mathematics Education Research Group of Australasia Inc.
Fong, Ng. S., & Lee, K. (2009). The model method: Singapore children’s tool for representing andsolving algebric word problems. Research in Mathematics Education, 282-313.
Hodgen, J., Coe, R., & Brown, M. (2014). Improving students’ understanding of algebra and multiplicative reasoning: Did the ICCAMS intervention work?
Hurst, C. (2015). The multiplicative situation. Australian Primary Mathematics Classroom, 20(3), 1-16.
Jeong, Y., Levine, S. C., & Huttenlocher, J. (2007). The development of proportional reasoning: Effect of continuous versus discrete quantities. Cognition and Development, 8(2), 237-256.
Lobato, J. (2010). Developing essential understanding of ratios, proportions, and proportional reasoning for teaching mathematics in grades 6–8, San Diego State University San Diego, California.
Misnasanti, U., R. W., & Suwanto, F. R. (2017). Problem based learning to improve proportional reasoning of students in mathematics learning. In AIP Conference Proceedings (Vol. 1868, No. 1, p. 050002). AIP Publishing LLC.
National Council of Teachers of Mathematics (2000). Principles and standard for school mathematics. RestonVA: Author.
Salkind, M. G.) 2007). Mathematical representations. Preparation and Professional Development of Mathematics Teachers. EDCI 857.
Shin, J., Lee, S. J., & Steffe, L. P. (2020). Problem solving activities of two middle school students with distinct levels of unit’s coordination. Mathematical Behavior, 59, 100793.
Siemon, D., Breed, M., & Virgona, J. (2005). From additive to multiplicative thinking–the big challenge of the middle years. In Mathematics: Celebrating achievement. Proceedings of the annual conference of the mathematical association of victoria. Melbourne: MAV.
Small, M. (2015). Building proportional reasoning across grades and math strands, K-8. Library of Congress Cataloging-in-publication Data. Manufactured in the United States of America.
Tunç, M. P. (2020). Investigation of middle school students’ solution strategies in solving proportional and non-proportional problems. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 11(1), 1-14.
Vergnaud, G. (2009). The Theory of Conceptual Fields. Human Development. 52, 83-95.
Weiland, T., Orrill, C. H., Nagar, G. G., Brown, R. E., & Burke, J. (2021). Framing a robust understanding of proportional reasoning for teachers. Mathematics Teacher Education, 24(2), 179-202.