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International Journal of Mathematical Education in Science and Technology Volume 44, 2013 - Issue 5: Special Section on the Teaching and Learning of Calculus
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Original Articles

Graphs of functions of two variables: results from the design of instruction

Rafael Martínez-PlanellDepartment of Mathematical Sciences, University of Puerto Rico at Mayagüez, Mayagüez, Mayaguez, Puerto RicoCorrespondence[email protected]
&
María Trigueros GaismanDepartamento de Matemática, Instituto Tecnológico Autónomo de Mexico, DF, Mexico
Pages 663-672 | Received 20 Sep 2012, Accepted 16 Feb 2013, Published online: 08 Apr 2013

Citations (13)

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Read on this site (3)

Steven R. Jones, Nicholas E. Long & Jeremy J. Becnel. (2023) Design of virtual reality modules for multivariable calculus and an examination of student noticing within them. Research in Mathematics Education 25:2, pages 219-242.
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Allison Dorko & Eric Weber. (2014) Generalising calculus ideas from two dimensions to three: how multivariable calculus students think about domain and range. Research in Mathematics Education 16:3, pages 269-287.
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José Orozco-Santiago, María Trigueros Gaisman & Rafael Martínez-Planell. Learning two-variable functions using 3D dynamic geometry. International Journal of Mathematical Education in Science and Technology 0:0, pages 1-17.
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Articles from other publishers (10)

Vahid Borji, Rafael Martínez-Planell & María Trigueros. (2022) Student understanding of functions of two variables: A reproducibility study. The Journal of Mathematical Behavior 66, pages 100950.
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Rafael Martínez-Planell & Maria Trigueros. (2021) Multivariable calculus results in different countries. ZDM – Mathematics Education 53:3, pages 695-707.
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Oihana Moreno-Arotzena, Ion Pombar-Hospitaler & José Ignacio Barragués. (2020) University student understanding of the gradient of a function of two variables: an approach from the perspective of the theory of semiotic representation registers. Educational Studies in Mathematics 106:1, pages 65-89.
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Steven R. Jones. (2020) Scalar and vector line integrals: A conceptual analysis and an initial investigation of student understanding. The Journal of Mathematical Behavior 59, pages 100801.
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Rafael Martínez-Planell & María Trigueros. (2019) Using cycles of research in APOS: The case of functions of two variables. The Journal of Mathematical Behavior 55, pages 100687.
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Patrick W. Thompson, Neil J. Hatfield, Hyunkyoung Yoon, Surani Joshua & Cameron Byerley. (2017) Covariational reasoning among U.S. and South Korean secondary mathematics teachers. The Journal of Mathematical Behavior 48, pages 95-111.
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Rafael Martínez-Planell, María Trigueros Gaismán & Daniel McGee. (2017) Students’ understanding of the relation between tangent plane and directional derivatives of functions of two variables. The Journal of Mathematical Behavior 46, pages 13-41.
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Marianna Bosch, Josep Gascón & María Trigueros. (2016) Dialogue between theories interpreted as research praxeologies: the case of APOS and the ATD. Educational Studies in Mathematics 95:1, pages 39-52.
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Steven R. Jones & Allison Dorko. (2015) Students’ understandings of multivariate integrals and how they may be generalized from single integral conceptions. The Journal of Mathematical Behavior 40, pages 154-170.
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Rafael Martínez-Planell, Maria Trigueros Gaisman & Daniel McGee. (2015) On students’ understanding of the differential calculus of functions of two variables. The Journal of Mathematical Behavior 38, pages 57-86.
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