Abstract
Definitions are of critical importance in both mathematics and mathematics learning. Online dictionaries have become a commonly used resource for students and teachers seeking mathematical definitions. In this context, it is important to examine how mathematical concepts are defined and presented in such publicly accessible platforms. Given its longstanding presence and widespread use, the U.S.-based Merriam Webster Dictionary was selected for the current study. We examined the definitions of quadrilaterals provided in both the default (Primary) section and the Student Dictionary for Kids. The results indicated that the definitions in the “Kids Definition” section were generally longer and often included superfluous information compared to those in the “Primary” section. Among the special quadrilaterals presented, most were defined in relation to one another, supporting a structure that allows for the identification of subsets within broader quadrilateral types.
References
Abdullah, H. A., & Shin, B. (2019). A comparative study of quadrilaterals topic content in mathematics textbooks between Malaysia and South Korea. Journal on Mathematics Education, 10(3), 315–340.
Alcock, L., & Simpson, A. (2017). Interactions between defining, explaining and classifying: The case of increasing and decreasing sequences. Educational Studies in Mathematics, 94(1), 5–19. https://doi.org/10.1007/s10649-016-9709-4
Avcu, R. (2019). A comparison of mathematical features of Turkish and American textbook definitions regarding special quadrilaterals. International Journal of Mathematical Education in Science and Technology, 50(4), 577–602. https://doi.org/10.1080/0020739X.2018.1529338
Avcu, R. (2023). Pre-service middle school mathematics teachers’ personal concept definitions of special quadrilaterals. Mathematics Education Research Journal, 35(4), 743–788. https://doi.org/10.1007/s13394-022-00412-2
Casa, T. M., & Gavin, M. K. (2009). Advancing elementary school students’ understanding of quadrilaterals. In T. Craine. & R. Rubenstein (Eds.), Understanding Geometry for a Changing World. 71st Yearbook (pp. 205–219). NCTM.
Clapham, C., & Nicholson, J. (2009). The concise Oxford dictionary of mathematics. Oxford University Press. de Villiers, M. (1994). The role and function of a hierarchical classification of the quadrilaterals. For the Learning of Mathematics, 14(1), 11–18.
de Villiers, M., Govender, R., & Patterson, N. (2009). Defining in Geometry. In T. Craine. & R. Rubenstein (Eds.), Understanding Geometry for a Changing World. 71st Yearbook (pp. 189–204). NCTM.
Duatepe-Paksu, A., & Žilková, K. (2018). The content knowledge of Turkish and Slovak pre-service elementary teachers: the case of the square. In P. Hájek & O. Vít (Eds.), CBU International Conference Proceedings (Vol. 6, pp. 556–561). CBU Research Institute. https://doi.org/10.12955/cbup.v6.1213
Graumann, G. (2005). Investigating and ordering Quadrilaterals and their analogies in space—problem fields with various aspects. ZDM, 37(3), 190–198. https://doi.org/10.1007/s11858-005-0008-2
Harper, F. K., Rosenberg, J. M., Comperry, S., Howell, K., & Womble, S. (2021). #Mathathome during the COVID-19 pandemic: Exploring and reimagining resources and social supports for parents. Education Sciences, 11(2), 1–24. https://doi.org/10.3390/educsci11020060
Jamison, R. E. (2000). Learning the language of mathematics. Language and Learning across the Disciplines, 4(1), 45–54. https://doi.org/10.37514/LLD-J.2000.4.1.06
Jones, K. (2000). Providing a foundation for deductive reasoning: Students’ interpretation when using dynamic geometry software and their evolving mathematical explanations. Educational Studies in Mathematics, 44(1–3), 55–85. https://doi.org/10.1023/A:1012789201736
Kissane, B. (2008). Learning mathematics on the internet. In T. de Alwis, M. Majewski & W.-C. Yang (Eds.), the 13th Asian Technology Conference in Mathematics. https://atcm.mathandtech.org/ep2008/papers full/2412008 15110.pdf
Knapp, A. K., Barret, J. E., & Kaufmann, M. L. (2007). Prompting teacher knowledge development using dynamic geometry software. In T. Lamberg & L. Wiest (Eds.), Proceedings of the 29th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1098–1105). University of Nevada, Reno.
Leikin, R., & Winicky-Landman, G. (2000). On equivalent and nonequivalent definitions: Part 2. For the Learning of Mathematics, 20(2), 24–29.
Leikin, R., & Winicky-Landman, G. (2001). Defining as a vehicle for professional development of secondary school mathematics teachers. Mathematics Teacher Education and Development, 3, 62–73.
Merriam-Webster. (n.d.-a). About us – Merriam-Webster Dictionary. Retrieved June 24, 2025, from https://www.merriam-webster.com/about-us
Merriam-Webster. (n.d.-b). Dictionary – Merriam-Webster Dictionary. Retrieved June 24, 2025, from https://www.merriam-webster.com/dictionary/
Merriam-Webster. (n.d.-c). Student dictionary for kids – Merriam-Webster Dictionary. Retrieved June 24, 2025, from https://www.merriam-webster.com/kids
Merriam-Webster. (n.d.-d). How does a word get into a Merriam-Webster dictionary? Retrieved June 24, 2025, from https://www.merriam-webster.com/help/faq-words-into-dictionary
Merriam-Webster. (2026). Advertising – Merriam-Webster Dictionary. Retrieved January 19, 2026, from https://www.merriam-webster.com/assets/mw/static/pdf/advertising/MWEB Media Kit 2017.pdf
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. NCTM.
National Governors Association Center for Best Practices, Council of Chief State School Officers [NGA & CCSSO] (2010). Common core state standards for mathematics. http://www.corestandards.org
Patterson, L. G., & Young, A. F. (2013). The power of math dictionaries in the classroom. SRATE Journal, 22(2), 22–28.
Pereira-Mendoza, L. (1993). What is a quadrilateral? The Mathematics Teacher, 86(9), 774–776.
Sinclair, N., Pimm, D., Skelin, M., & Zbiek, R. M. (2012). Developing essential understanding of geometry: Grades 6–8. NCTM.
Usiskin, Z., & Griffin, J. (2008). The classification of quadrilaterals: A study of definition. A Volume in Research in Mathematics Education. Information Age Publishing.
Van Dormolen, J., & Zaslavsky, O. (2003). The many facets of a definition: The case of periodicity. The Journal of Mathematical Behavior, 22(1), 91–106. https://doi.org/10.1016/S0732-3123(03)00006-3
Zaslavsky, O. & Shir, K. (2005). Students’ conceptions of a mathematical definition. Journal for Research in Mathematics Education, 36(4), 317–346.
Zazkis, R., & Leikin, R. (2008). Exemplifying definitions: a case of a square. Educational Studies in Mathematics, 69(2), 131–148. https://doi.org/10.1007/s10649-008-9131-7

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