• Arnon, I., Cottrill, J., Dubinsky, E., Oktaç, A., Fuentes, S. R., Trigueros, M., & Weller, K. (2014). APOS theory: A framework for research and curriculum development in mathematics education. Berlin: Springer. https://doi.org/10.1007/978-1-4614-7966-6.
• Asiala, M., Brown, A., DeVries, D. J., Dubinsky, E., Mathews, D., & Thomas, K. (1996). A Framework for Research and Curriculum Development in Undergraduate Mathematics Education. Research in Collegiate Mathematics Education, 2, 1-32. https://doi.org/10.1090/cbmath/006/01.
• Asiala, M., Cottrill, J., Dubinsky, E., & Schwingendorf, K. (1997). The Development of Students’ Graphical Understanding of the Derivate. Journal of Mathematics Behavior, 16(4), 399-430. https://doi.org/10.1016/S0732-3123(97)90015-8.
• Badillo, E., Azcárate, C., & Font, V. (2011). Análisis de los niveles de comprensión de los objetos f’(a) y f’(x) de profesores de matemáticas. Enseñanza de las Ciencias, 29(2), 191-206. https://doi.org/10.5565/rev/ec/v29n2.546.
• Baker, B., Cooley, L., & Trigueros, M. (2000). A calculus graphing schema. Journal for research in mathematics education, 31(5), 557–578. https://doi.org/10.2307/749887.
• Berry, J., & Nyman, M. A. (2003). Promoting students’ graphical understanding of the calculus. Journal of Mathematical Behavior, 22(4), 479-495. https://doi.org/10.1016/j.jmathb.2003.09.006.
• Bressoud, D.M., Mesa, V., & Rasmussen, C. (2015). Insights and recommendations from the MAA National Study of College Calculus. New York: MAA Press.
• Cooley, L., Trigueros, M., & Baker, B. (2007). Schema thematization: A framework and a example. Journal for Research in Mathematics Education, 38(4), 370–392. https://doi.org/10.2307/30034879.
• Dubinsky, E. (1991). Reflective abstraction in advanced mathematical thinking. In D. Tall (Ed.), Advanced mathematical thinking (pp. 95-126). Dordrecht: Kluwer.
• Ferrini-Mundy, J., & Graham, G. (1991). An Overview of the Calculus Curriculum Reform Effort: Issues for Learning, Teaching, and Curriculum Development. American Mathematical Monthly, 98(7), 627-635. https://doi.org/10.2307/2324931 https://doi.org/10.1080/00029890.1991.11995769.
• Ferrini-Mundy, J., & Graham, K. (1994). Research in calculus learning: understanding limits, derivates and integrals. In E. Dubinsky, & J. Kaput (Eds.), Research Issues in Undergraduate Mathematics Learning, MAA Notes 33, (pp. 31-45). Washington DC: Mathematical Association of America.
• Ferrini-Mundy, J., & Lauten, D. (1994). Learning about calculus learning. The Mathematics Teacher, 87(2), 115-121.
• Font, V., Trigueros, M., Badillo, E., & Rubio, N. (2016). Mathematical objects through the lens of two different theoretical perspectives: APOS and OSA. Educational Studies in Mathematics, 91(1), 107-122. https://doi.org/10.1007/s10649-015-9639-6.
• Fuentealba, C., Badillo, E., & Sánchez-Matamoros, G. (in press). Puntos de no-derivabilidad de una función y su importancia en la comprensión del concepto de derivada. Educação e Pesquisa.
• Fuentealba, C., Sánchez-Matamoros, G., Badillo, E. (2015). Análisis de tareas que pueden promover el desarrollo de la comprensión de la derivada. Uno: Revista de didáctica de las matematicas, (71), 72-78.
• Fuentealba, C., Sánchez-Matamoros, G., Badillo, E., & Trigueros, M. (2017). Thematization of derivative schema in university students: nuances in constructing relations between a function’s successive derivatives. International Journal of Mathematical Education in Science and Technology, 48(3), 374-392. https://doi.org/10.1080/0020739X.2016.1248508.
• García, M., Llinares, S., & Sánchez-Matamoros, G. (2011). Characterizing thematized derivative schema by the underlying emergent structures. International journal of science and mathematics education, 9(5), 1023-1045. https://doi.org/10.1007/s10763-010-9227-2.
• Hiebert, J., & Carpenter, T. (1992). Learning and teaching with understanding. Handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics (pp. 65-97).
• Kleiner, I. (2001). History of the infinitely small and the infinitely large in calculus.
• Educational Studies in Mathematics, 48(2), 134–174. https://doi.org/10.1023/A:1016090528065.
• Lerman, I., Gras, R., & Rostam, H. (1981). Élaboration et évaluation d’un indice d’implication pour des données binaires. 2. Mathématiques et sciences humaines, 75, 5-47.
• Orton, A. (1983). Students’ understanding of differentiation. Educational Studies in Mathematics, 14(3), 235-250. https://doi.org/10.1007/BF00410540.
• Piaget J. (1973). Las estructuras matemáticas y las estructuras operatorias de.
• la inteligencia. En La colección Psicología y Educación. La enseñanza.
• de las matemáticas (pp. 3-28). Madrid: Editorial Aguilar.
• Piaget, J., & García, R. (1983). Psicogénesis e Historia de la Ciencia. México, España, Argentina, Colombia: Siglo Veintiuno Editores, S.A.
• Pino-Fan, L., Godino, J., & Font, V. (2011). Faceta epistémica del conocimiento didáctico-matemático sobre la derivada. Educação Matemática Pesquisa, 13(1), 141-178.
• Pino-Fan, L., Godino, J., & Font, V. (2018). Assessing key epistemic features of didactic-mathematical knowledge of prospective teachers: the case of the derivative. Journal of Mathematics Teacher Education, 21(1), 63-94. https://doi.org/10.1007/s10857-016-9349-8.
• Sánchez-Matamoros, G. (2004). Análisis de la comprensión de los alumnos de.
• bachillerato y primer curso de la universidad sobre la noción matemática de derivada. (Desarrollo del concepto) (Doctoral dissertation), Universidad de Sevilla, Spain.
• Sánchez-Matamoros, G., García, M., & Llinares, S. (2006). El desarrollo del esquema de.
• derivada. Enseñanza de las Ciencias, 24(1), 85–98.
• Sánchez-Matamoros, G., García, M., & Llinares, S. (2008). La comprensión de la derivada como objeto de investigación en didáctica de la Matemática. RELIME, 11(2), 267-296.
• Selden, A., Selden, J., Hauk, S., & Mason, A. (1999). Do calculus students eventually learn to solve non-routine problems. Tennessee Technical University Department of Mathematics. Technical Report.
• Siegler, R. (1986). Unities across domains in childrens strategy choices. In Minnesota Symposia on Child Psychology (pp. 1-48). Mahwah: Lawrence Erlbaum Assoc Inc.
• Sokal, R. R., & Rohlf, F. J. (1962). The comparison of dendrograms by objective methods. Taxon, 11(2), 33-40. https://doi.org/10.2307/1217208.
• Tall, D. (1992). The transition to Advanced Mathematical Thinking: Functions, Limits, Infinity, and Proof. Handbook of Research on Mathematics Teaching and Learning (pp. 495-514). New York: MacMillan Publishing Company.
• Tall, D. (1997). Informatie technologie en Wiskunde Onderwijs, Niewe Wiskrant Functions and Calculus. In A. Bishop, M. Clements, C. Keitel, J. Kilpatrick, & C. Laborde (Eds.), International Handbook of Mathematics Education (pp. 289–325). Dordrecht: Kluwer.
• Trigueros, M. (2005). La noción de esquema en la investigación enmatemática educativa a nivel superior. Educación Matemática, 17(1), 5–31.
• Trigueros, M., & Escandon, C. (2008). Los conceptos relevantes en el aprendizaje de la graficación. Revista Mexicana de Investigación Educativa, 13(36), 59–85.
• Von Glasersfeld, E. (1983). On the concept of interpretation. Poetics, 12(2-3), 207-218. https://doi.org/10.1016/0304-422X(83)90028-1.
• Vrancken, S., & Engler, A. (2014). Una Introducción a la Derivada desde la Variación y el Cambio: resultados de una investigación con estudiantes de primer año de la universidad. Bolema, 28(48), 449-468. https://doi.org/10.1590/1980-4415v28n48a22.
• White, P., & Mitchelmore, M. (1996). Conceptual knowledge in introductory calculus. Journal for Research in Mathematics Education, 27(1), 79-95. https://doi.org/10.2307/749199.
• Zamora, L., Gregori, P., & Orús, P. (2009). Conceptos fundamentales del Análisis Estadístico Implicativo (ASI) y su soporte computacional CHIC. Contribuciones al ASI, 4, 65-101.

APA

Fuentealba, C., Badillo, E., Sánchez-Matamoros, G., & Cárcamo, A. (2019). The Understanding of the Derivative Concept in Higher Education. Eurasia Journal of Mathematics, Science and Technology Education, 15(2), em1662. https://doi.org/10.29333/ejmste/100640

Vancouver

Fuentealba C, Badillo E, Sánchez-Matamoros G, Cárcamo A. The Understanding of the Derivative Concept in Higher Education. EURASIA J Math Sci Tech Ed. 2019;15(2):em1662. https://doi.org/10.29333/ejmste/100640

AMA

Fuentealba C, Badillo E, Sánchez-Matamoros G, Cárcamo A. The Understanding of the Derivative Concept in Higher Education. EURASIA J Math Sci Tech Ed. 2019;15(2), em1662. https://doi.org/10.29333/ejmste/100640

Chicago

Fuentealba, Claudio, Edelmira Badillo, Gloria Sánchez-Matamoros, and Andrea Cárcamo. "The Understanding of the Derivative Concept in Higher Education". Eurasia Journal of Mathematics, Science and Technology Education 2019 15 no. 2 (2019): em1662. https://doi.org/10.29333/ejmste/100640

Harvard

Fuentealba, C., Badillo, E., Sánchez-Matamoros, G., and Cárcamo, A. (2019). The Understanding of the Derivative Concept in Higher Education. Eurasia Journal of Mathematics, Science and Technology Education, 15(2), em1662. https://doi.org/10.29333/ejmste/100640

MLA

Fuentealba, Claudio et al. "The Understanding of the Derivative Concept in Higher Education". Eurasia Journal of Mathematics, Science and Technology Education, vol. 15, no. 2, 2019, em1662. https://doi.org/10.29333/ejmste/100640