ACERCAMIENTO A FUNCIONES CON DOS VARIABLES

José Armando Landa H.

Special Article

Vol. 13 No. 4(I) (2010): Número Especial /Diciembre

APPROACH TO FUNCTIONS WITH TWO VARIABLES

José Armando Landa H.^▸^▾

PDF (Español (España))

Submitted: January 5, 2024
Published: 2010-06-23

Abstract

We discuss one of a set of activities designed with the purpose of helping students in their first contact with the notion of functions with two variables. We discuss five strategies developed by students in the environment of Derive 6.1 in order to produce two independent movements for a point. The metaphor "a moving point that jumps in one direction and slides in other direction" helps students to produce such point on three dimensions. The production process of movements of the point allows students realize indepe

References

Dubinsky, E. & Harel, G. (1992). The Nature of the Process Conception of Function. In The Concept of Function. Aspects of Epistemology and Pedagogy. In E. Dubinsky & G. Harel (Eds). Mathematical Association of America. U.S.A.
Kieran, C. (1993). Functions, Graphing, and Technology: Integrating Research on Learning and Instruction. In Integrating Research on the Graphical Representation of Function. In
T. Romberg, E. Fennema, & T. Carpenter, (Eds.), Lawrence Erlbaum Associates. Cap. 8. (pp. 189-237).
Laborde, C. (1999). Core Geometrical Knowledge for Using the Modeling Power of Geometry with Cabri-Geometry, Teaching Mathematics and its Application, 4(18), 166-171.
Lakoff, G. & Núñez, R. (2000). Where Mathematics Comes From. Basic Books.
Mariotti, M. A., Laborde, C. & Falcade, R. (2003). Function and Graph in DGS Environment. PME 27. (3), pp. 237-244.

Downloads

Download data is not yet available.

Keywords

Functions
two variables
covariation
trajectory
Derive 6.1

How to Cite

Landa H., J. A. (2010). APPROACH TO FUNCTIONS WITH TWO VARIABLES. Revista Latinoamericana De Investigación En Matemática Educativa, 13(4(I), 129–145. Retrieved from https://relime.org/index.php/relime/article/view/295

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Similar Articles

Patricia Perry, Leonor Camargo, Carmen Samper, MID-POINTS IN A TRIANGLE: AN EXAMPLE OF PERSONAL MEANING MAKING AND SEMIOTIC MEDIATION , Revista Latinoamericana de Investigación en Matemática Educativa: Vol. 22 No. 3 (2019): November
Francisco Cordero, Tamara Del Valle, Astrid Morales, USES OF THE OPTIMIZATION OF ENGINEERS IN TRAINING: THE ROLE OF MECHATRONIC ENGINEERING AND THE WORK OF LAGRANGE , Revista Latinoamericana de Investigación en Matemática Educativa: Vol. 22 No. 2 (2019): July
Antonio Saorin Villa, Germán Torregrosa-Gironés, Humberto Quesada Vilella, CONFIGURAL REASONING AND DISCURSIVE ORGANIZATION IN PROOF PROCESSES IN GEOMETRICAL CONTEXT , Revista Latinoamericana de Investigación en Matemática Educativa: Vol. 22 No. 2 (2019): July
M. Pedro Huerta, Patricia I. Edo, Rubén Amorós, Joaquín Arnau, ENCODING SCHEME FOR THE ANALYSIS OF RESOLUTIONS OF CONDITIONAL PROBABILITY PROBLEMS , Revista Latinoamericana de Investigación en Matemática Educativa: Vol. 19 No. 3 (2016): Noviembre
Plácido Hernández Sánchez, Gabriela Buendía Ábalos , MEANINGS FRO SCHOOL MATHEMATICS FROM ITS USE IN AN EXTRA-SCHOLAR SCENARIO. AN EXAMPLE WITH PERIODIC PROPERTY , Revista Latinoamericana de Investigación en Matemática Educativa: Vol. 22 No. 3 (2019): November
Verónica Molfino, Cristina Ochoviet, TEACHING MATHEMATICS FOR SOCIAL JUSTICE IN POSTGRADUATE COURSES , Revista Latinoamericana de Investigación en Matemática Educativa: Vol. 22 No. 2 (2019): July
Carla Cristina Pompeu, Inés M. Gómez-Chacón, MATHEMATICAL LEARNING AND IDENTITY STRATEGIES. A CASE OF ADULT EDUCATION IN BRAZIL , Revista Latinoamericana de Investigación en Matemática Educativa: Vol. 22 No. 3 (2019): November
Dorinda Mato -Vázquez, Rocío Chao -Fernández , Aurelio Chao -Fernández , EFFECTS OF TEACHING MATHEMATICS THROUGH MUSIC ACTIVITIES , Revista Latinoamericana de Investigación en Matemática Educativa: Vol. 22 No. 2 (2019): July
Cesário Almeida, Luis Casas García, Ricardo Luengo González, STUDY OF THE COGNITIVE STRUCTURE OF P ORTUGUESE STUDENTS IN YEARS 9 (14-15 YEAR- OLDS) AND 12 (17-18 YEAR- OLDS) CONCERNING THE NOTION OF PROBABILITY: A CONTRIBUTION OF THEORIES OF NUCLEAR CONCEPTS AND THRESHOLD CONCEPTS , Revista Latinoamericana de Investigación en Matemática Educativa: Vol. 20 No. 1 (2017): Marzo
Crisólogo Dolores Flores, Ithandehuil Cuevas Fiscal, LECTURA E INTERPRETACIÓN DE GRÁFICAS SOCIALMENTE COMPARTIDAS , Revista Latinoamericana de Investigación en Matemática Educativa: Vol. 10 No. 1 (2007): Marzo

1 2 3 4 5 6 7 8 9 10 > >>

You may also start an advanced similarity search for this article.

[1] Dubinsky, E. & Harel, G. (1992). The Nature of the Process Conception of Function. In The Concept of Function. Aspects of Epistemology and Pedagogy. In E. Dubinsky & G. Harel (Eds). Mathematical Association of America. U.S.A.

[2] Kieran, C. (1993). Functions, Graphing, and Technology: Integrating Research on Learning and Instruction. In Integrating Research on the Graphical Representation of Function. In

[3] T. Romberg, E. Fennema, & T. Carpenter, (Eds.), Lawrence Erlbaum Associates. Cap. 8. (pp. 189-237).

[4] Laborde, C. (1999). Core Geometrical Knowledge for Using the Modeling Power of Geometry with Cabri-Geometry, Teaching Mathematics and its Application, 4(18), 166-171.

[5] Lakoff, G. & Núñez, R. (2000). Where Mathematics Comes From. Basic Books.

[6] Mariotti, M. A., Laborde, C. & Falcade, R. (2003). Function and Graph in DGS Environment. PME 27. (3), pp. 237-244.