International Electronic Journal of Mathematics Education

• Allen, K. S. (2006). Students' participation in a differential equations class: Parametric reasoning to understand systems (Doctoral dissertation, Purdue University). ProQuest Dissertations & Theses Global. https://docs.lib.purdue.edu/dissertations/AAI3232143/
• Arslan, S. (2010). Do students really understand what an ordinary differential equation is? International Journal of Mathematical Education in Science and Technology, 41(7), 873-888. https://doi.org/10.1080/0020739X.2010.486448
• Artigue, M. (1992). Functions from an algebraic and graphic point of view: Cognitive difficulties and teaching practices. The concept of Function, 25, 109-132.
• Balacheff, N., & Kaput, J. J. (1996). Computer-based learning environments in mathematics. In International handbook of mathematics education (pp. 469-501). Springer. https://doi.org/10.1007/978-94-009-1465-0_15
• Blume, G. (2007). Reflections on John Monaghan’s "Computer algebra, instrumentation, and the anthropological approach." International Journal for Technology in Mathematics Education, 14(2), 73-76.
• Breen, S., & O’Shea, A. (2011). The use of mathematical tasks to develop mathematical thinking skills in undergraduate calculus courses–a pilot study. Proceedings of the British Society for Research into Learning Mathematics, 31(1), 43-48.
• Brown, C. W., Kovács, Z., Recio, T., Vajda, R., & Vélez, M. P. (2021). Is computer algebra ready for conjecturing and proving geometric inequalities in the classroom? In Proceedings of the 26th Conference on Applications of Computer Algebra, Book of Abstracts, Virtual, 23–27.
• Cobb, P. (2000). Conducting classroom teaching experiments in collaboration with teachers. In R. Lesh & E. Kelly (Eds.), New methodologies in mathematics and science education (pp. 307-334). Erlbaum.
• Creswell, J. W. (2012). Educational research: Planning, conducting and evaluating quantitative and qualitative research (4th Ed.). Pearson.
• Cuoco, A., Goldenberg, E. P., & Mark, J. (1996). Habits of mind: An organizing principle for mathematics curricula. The Journal of Mathematical Behavior, 15(4), 375-402. https://doi.org/10.1016/S0732-3123(96)90023-1
• Czarnocha, B., & Maj, B. (2008). A teaching experiment. In B. Czarnocha (Ed.), Handbook of mathematics teaching research -a tool for teachers- researchers (pp. 47-58). University of Reszów.
• Devlin, K. (2012). Introduction to mathematical thinking. Keith Devlin.
• Drijvers, P. (2015). Digital technology in mathematics education: Why it works (or doesn’t). In S. Cho (Eds) Selected regular lectures from the 12th International Congress on Mathematical Education. Springer, Cham. https://doi.org/10.1007/978-3-319-17187-6_8
• Drijvers, P., & Trouche, L. (2008). From artifacts to instruments: A theoretical framework behind the orchestra metaphor. In K. Heid, & G. Blume (Eds.), Research on technology and the teaching and learning of mathematics. Cases and perspectives (Vol. 2, pp. 363-392). Charlotte: Information Age.
• Dubinsky, E., & Tall, D., (2002), Advanced mathematical thinking and the computer. In D. Tall (Ed). Advanced mathematical thinking (pp. 231-248). Kluwer Academic Publisher. https://doi.org/10.1007/0-306-47203-1_14
• Goos, M., Soury-Lavergne, S., Assude, T., Brown, J., Kong, C. M., Glover, D., Grugeon, B., Laborde, C., Lavicza, Z., Miller, D., & Sinclair, M. (2010). Teachers and teaching: Theoretical perspectives and issues concerning classroom implementation. Mathematics Education and Technology-Rethinking the Terrain: The 17th ICMI study, 311-328. https://doi.org/10.1007/978-1-4419-0146-0_14
• Guin, D., Ruthven, K., & Trouche, L. (Eds.). (2005). The didactical challenge of symbolic calculators: turning a computational device into a mathematical instrument (Vol. 36). Springer Science & Business Media. https://doi.org/10.1007/b101602
• Habre, S. (2012). Improving understanding in ordinary differential equations through writing in a dynamical environment. Teaching Mathematics and Its Applications: International Journal of the IMA, 31(3), 153-166. https://doi.org/10.1093/teamat/hrs007
• Hansson, S. O. (2020). Technology and mathematics. Philosophy & Technology, 33(1), 117-139. https://doi.org/10.1007/s13347-019-00348-9
• Jupri, A., Drijvers, P. H. M., & den Heuvel-Panhuizen, V. (2016). An instrumentation theory view on students’ use of an applet for algebraic substitution. International Journal for Technology in Mathematics Education, 23(2), 63-80. https://doi.org/10.1564/tme_v23.2.02
• Kadijevich, D. M. (2014). Neglected critical issues of effective CAS utilization. Journal of Symbolic Computation, 61, 85-99. https://doi.org/10.1016/j.jsc.2013.10.013
• Karadag, Z. (2009). Analyzing students’ mathematical thinking in technology-supported environments [Unpublished PhD dissertation, University Toronto].
• Kwon, O. N. (2020). Differential equations teaching and learning. In S. Lerman. (Ed.), Encyclopedia of mathematics education. Springer. https://doi.org/10.1007/978-3-030-15789-0_100023
• Kwon, O. N., Rasmussen, C., & Allen, K. (2005). Students’ retention of mathematical knowledge and skills in differential equations. School Science and Mathematics, 105(5), 227-239. https://doi.org/10.1111/j.1949-8594.2005.tb18163.x
• Landis, J. R., & Koch, G. G. (1977). An application of hierarchical kappa-type statistics in the assessment of majority agreement among multiple observers. Biometrics, 33, 363-374. https://doi.org/10.2307/2529786
• Lavicza, Z. (2010). Integrating technology into mathematics teaching at the university level. Zdm, 42(1), 105-119. https://doi.org/10.1007/s11858-009-0225-1
• Lesh, R., Hoover, M., Hole, B., Kelly, E., & Post, T. (2000). Principles for developing thought-revealing activities for students and teachers. In A. Kelly, & R. Lesh (Eds.), Handbook of research design in mathematics and science education (pp. 591-645). Lawrence Erlbaum Associates.
• Lockwood, E., & Mørken, K. (2021). A call for research that explores relationships between computing and mathematical thinking and activity in RUME. International Journal of Research in Undergraduate Mathematics Education, 7(3), 404-416. https://doi.org/10.1007/s40753-020-00129-2
• Maat, S. M., & Zakaria, E. (2011). Exploring students’ understanding of ordinary differential equations using computer algebraic system (CAS). Turkish Online Journal of Educational Technology, 10(3), 123-128.
• Marshall, N., Buteau, C., Jarvis, D. H., & Lavicza, Z. (2012). Do mathematicians integrate computer algebra ssystems in university teaching? Comparing a literature review to an international survey study. Computers & Education, 58(1), 423-434. https://doi.org/10.1016/j.compedu.2011.08.020
• Martinez, M. V., & Pedemonte, B. (2014). Relationship between inductive arithmetic argumentation and deductive algebraic proof. Educational Studies in Mathematics, 86(1), 125-149. https://doi.org/10.1007/s10649-013-9530-2
• Mason, J. (2000). Asking mathematical questions mathematically. International Journal of Mathematical Education in Science and Technology, 31(1), 97-111
• Mason, J. (2014). Questioning in mathematics education. In S. Lerman (Ed.), Encyclopedia of mathematics education (pp. 513-519). Springer. https://doi.org/10.1007/978-94-007-4978-8_132
• Mason, J., Burton, L., & Stacey, K. (2010). Thinking mathematically. Addison-Wesley.
• Monaghan, J. (2007). Computer algebra, instrumentation and the anthropological approach. International Journal for Technology in Mathematics Education, 14(2), 63-72.
• Moschkovich, J. N., & Brenner, M. (2000). Integrating a naturalistic paradigm into research on mathematics and science cognition and learning. In R. Lesh & A. Kelly (Eds.), Handbook of research design in mathematics and science education (pp. 457-486). Lawrence Erlbaum Associates.
• National Council of Teachers of Mathematics (NCTM). (2000). Principles and standards for school mathematics. Reston, VA: Author.
• O’Sullivan, B., Breen, S., & O’Shea, A. (2024). An analysis of Irish mathematics textbook tasks in the context of curriculum change. Irish Educational Studies, 43(4), 1101-1119. https://doi.org/10.1080/03323315.2023.2193158
• Olsher, S., Chazan, D., Drijvers, P., Sangwin, C., & Yerushalmy, M. (2024). Digital assessment and the “machine”. In Handbook of Digital Resources in Mathematics Education (pp. 1175-1201). Springer. https://doi.org/10.1007/978-3-031-45667-1_44
• Paraskakis, I. (2003). Rethinking the teaching of differential equations through the constructivism paradigm. In Proceedings 3rd IEEE International Conference on Advanced Technologies (pp. 506-510). IEEE. https://doi.org/10.1109/ICALT.2003.1215219
• Pea, R. D. (1987). Cognitive technologies for mathematics education. In A. H. Schoenfeld (Ed.), Cognitive science and mathematics education. Lawrence Erlb.
• Raychaudhuri, D. (2008). Dynamics of a definition: A framework to analyse student construction of the concept of solution to a differential equation. International Journal of Mathematical Education in Science and Technology, 39(2), 161-177. https://doi.org/10.1080/00207390701576874
• Roselainy, A., Mason, J. H., & Yudariah, M. Y. (2012). Factors affecting students’ change of learning behaviour. Procedia - Social and Behavioral Sciences, 56(0), 213-222. https://doi.org/10.1016/j.sbspro.2012.09.648
• Salleh, T. S. A., & Zakaria, E. (2011). Integrating computer algebra system (CAS) into integral calculus teaching and learning at the university. International Journal of Academic Research, 3(3), 397-401.
• Sam, L. C., & Yong, H. T. (2006). Promoting mathematical thinking in the Malaysian classroom: issues and challenges [Paper presentation]. APEC-Tsukuba International Conference, Tsukuba, Japan.
• Sangwin, C. (2004). Assessing mathematics automatically using computer algebra and the internet. Teaching Mathematics and its Applications, 23(1), 1-14. https://doi.org/10.1093/teamat/23.1.1
• Santos-Trigo, M., Barrera-Mora, F., & Camacho-Machín, M. (2021). Teachers’ use of technology affordances to contextualize and dynamically enrich and extend mathematical problem-solving strategies. Mathematics, 9(8), Article 793. https://doi.org/10.3390/math9080793
• Small, M. (2017). Teaching mathematical thinking: Tasks and questions for strengthen practices and processes. NY: Teachers College Press
• Soboleva, E. V., Chirkina, S. E., Kalugina, O. A., Shvetsov, M. Y., Kazinets, V. A., & Pokaninova, E. B. (2020). Didactic potential of using mobile technologies in the development of mathematical thinking. EURASIA Journal of Mathematics, Science and Technology Education, 16(5), Article em1842. https://doi.org/10.29333/ejmste/118214
• Sternberg, R. J., & Ben-Zeev, T. (1996). The nature of mathematical thinking. Lawrence Erlbaum.
• Tall, D., & Vinner, S. (1981). Concept image and concept definition in mathematics with particular reference to limits and continuity. Educational Studies in Mathematics, 12(2), 151-169. https://doi.org/10.1007/BF00305619
• Trouche, L. (2016). Didactics of mathematics: Concepts, roots, interactions and dynamics from France. In J. Monaghan, L. Trouche, & J. Borwein (Eds.), Mathematics and tools, instruments for learning (pp. 219-256). Springer. https://doi.org/10.1007/978-3-319-02396-0_10
• Watson, A. (2001). Instances of mathematical thinking among low attaining students in an ordinary secondary classroom. Journal of Mathematical Behavior, 20(4), 461-475. https://doi.org/10.1016/S0732-3123(02)00088-3
• Wiggins, G., & McTighe, J. (2005). Understanding by design (2nd ed.). VA: Association for Supervision and Curriculum Development ASCD.
• Wilson, P. H., McCulloch, A., Wonsavage, F. P., Hare, E., & Baucom, L. N. (2024). Secondary mathematics teachers’ anticipations of student responses to cognitively demanding tasks. Investigations in Mathematics Learning, 1-18. https://doi.org/10.1080/19477503.2024.2309109
• Wu, W. R., & Yang, K. L. (2022). The relationships between computational and mathematical thinking: A review study on tasks. Cogent Education, 9(1), Article 2098929. https://doi.org/10.1080/2331186X.2022.2098929
• Zeynivandnezhad F. (2016). Conceptual account of mathematical thinking: What, why & how. Journal of Higher Education Curriculum Studies, 6(12), 153-172.
• Zeynivandnezhad, F. (2014). Mathematical thinking in differential equations through a computer algebra system [Unpublished doctoral thesis, Universiti Teknologi Malaysia, Kuala Lumpur, Malaysia].
• Zeynivandnezhad, F., & Bates, R. (2018). Explicating mathematical thinking in differential equations using a computer algebra system. International Journal of Mathematical Education in Science and Technology, 49(5), 680-704. https://doi.org/10.1080/0020739X.2017.1409368
• Zeynivandnezhad, F., Asgharzadeh, N., & Fernández, R. E. (2023). A quantitative assessment of high school math teachers’ technological pedagogical and content knowledge. International Journal for Technology in Mathematics Education, 30(1). https://doi.org/10.1564/tme_v30.1.1
• Zeynivandnezhad, F., Ismail, Z., & Mohammad Yosuf, Y. (2013). Mathematical thinking in differential equations among pre-service teachers. Sains Humanika, 63(2). https://doi.org/10.11113/sh.v63n2.151
• Zeynivandnezhad, F., Mousavi, A., & Kotabe, H. (2020). The mediating effect of study approaches between perceptions of mathematics and experiences using digital technologies. Computers in the Schools, 37(3), 168-195. https://doi.org/10.1080/07380569.2020.1793050
• Zhang, Y., & Wildemuth, B. M. (2009). Qualitative analysis of content. In B. Wildemuth (Ed.), Applications of social research methods to questions in information and library science (pp.308-319). CT: Unlimited Libraries.

APA

Zeynivandnezhad, F., Emilio Fernández, R., binti Mohammad Yusof, Y., & binti Ismail, Z. (2025). Fostering mathematical thinking through a computer algebra system in a differential equation course. International Electronic Journal of Mathematics Education, 20(3), em0826. https://doi.org/10.29333/iejme/16078

Vancouver

Zeynivandnezhad F, Emilio Fernández R, binti Mohammad Yusof Y, binti Ismail Z. Fostering mathematical thinking through a computer algebra system in a differential equation course. INT ELECT J MATH ED. 2025;20(3):em0826. https://doi.org/10.29333/iejme/16078

AMA

Zeynivandnezhad F, Emilio Fernández R, binti Mohammad Yusof Y, binti Ismail Z. Fostering mathematical thinking through a computer algebra system in a differential equation course. INT ELECT J MATH ED. 2025;20(3), em0826. https://doi.org/10.29333/iejme/16078

Chicago

Zeynivandnezhad, Fereshteh, Ramón Emilio Fernández, Yudariah binti Mohammad Yusof, and Zaleha binti Ismail. "Fostering mathematical thinking through a computer algebra system in a differential equation course". International Electronic Journal of Mathematics Education 2025 20 no. 3 (2025): em0826. https://doi.org/10.29333/iejme/16078

Harvard

Zeynivandnezhad, F., Emilio Fernández, R., binti Mohammad Yusof, Y., and binti Ismail, Z. (2025). Fostering mathematical thinking through a computer algebra system in a differential equation course. International Electronic Journal of Mathematics Education, 20(3), em0826. https://doi.org/10.29333/iejme/16078

MLA

Zeynivandnezhad, Fereshteh et al. "Fostering mathematical thinking through a computer algebra system in a differential equation course". International Electronic Journal of Mathematics Education, vol. 20, no. 3, 2025, em0826. https://doi.org/10.29333/iejme/16078