1. Akar, G. (2010). Different levels of reasoning in within state ratio conception and the conceptualization of rate: A possible example. In P. Brosnan, D. B. Erchick, & L. Flevares (Eds.), Proceedings of the 32nd annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 711–719). Columbus: The University of Ohio.
2. Arican, M. (2018). Preservice mathematics teachers’ understanding of and abilities to differentiate proportional relationships from nonproportional relationships. International Journal of Science and Mathematics Education.
https://doi.org/10.1007/s10763-018-9931-x
.
3. Beckmann, S., & Izsák, A. (2015). Two perspectives on proportional relationships: Extending complementary origins of multiplication in terms of quantities. Journal for Research in Mathematics Education, 46(1), 17–38.
https://doi.org/10.5951/jresematheduc.46.1.0017
.
4. Davis, J. D. (2016). Middle school mathematics teachers’ proportional reasoning mathematical knowledge for teaching: Strengths, weaknesses, and influencing factors. Presented in J. M. Choppin (chair), Middle school mathematics teachers’ Common Core State Standards for Mathematics interpretations and enactments: Complementary findings from multiple instruments. Symposium presented at the Annual Meeting of the American Educational Research Association, Washington, DC.
5. de Bock, D., Van Dooren, W., Janssens, D., & Verschaffel, L. (2002). Improper use of linear reasoning: An in-depth study of the nature and the irresistibility of secondary school students' errors. Educational Studies in Mathematics, 50(3), 311–334.