Mathematics and Statistics Vol. 5(2), pp. 57 - 61
DOI: 10.13189/ms.2017.050201
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Apprehensions in the Graphic Register of Two-variable Functions

Katia Vigo Ingar ^1,*, Maria José Ferreira da Silva ^2
1 Pontifical Catholic University of Peru, Peru
² Pontifical Catholic University of São Paulo, Brazil

ABSTRACT

The objective of this article is to present part of a doctoral thesis, which deals with an extension of Duval's study in relation to apprehensions in the graphic register of a two-variable function. Its relevance is extensive in teaching and learning Differential Calculus of two variables since the information the graph of this type of functions may provide is important to build knowledge on two-variable functions and for its applications. For graphic representation and knowledge building, we rely on CAS Mathematica, given that its dynamism allows performing operations in the graphic register. Because of this, we ask ourselves, how do apprehensions take place in the CAS graphic register of two-variable functions? Our research is qualitative and exploratory since the proposed object of study has not been studied a lot. We believe the interaction of apprehensions in the CAS graphic register allows students to conjecture properties of the two-variable functions when, for instance, a student applies those notions to optimization problems.

KEYWORDS
Visualization, Apprehensions, Graphic Representation, Calculus

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Katia Vigo Ingar , Maria José Ferreira da Silva , "Apprehensions in the Graphic Register of Two-variable Functions," Mathematics and Statistics, Vol. 5, No. 2, pp. 57 - 61, 2017. DOI: 10.13189/ms.2017.050201.

(b). APA Format:
Katia Vigo Ingar , Maria José Ferreira da Silva (2017). Apprehensions in the Graphic Register of Two-variable Functions. Mathematics and Statistics, 5(2), 57 - 61. DOI: 10.13189/ms.2017.050201.