TY - JOUR

T1 - Representations of a mathematical model as a means of analysing growth phenomena

AU - Guerrero-Ortiz, Carolina

AU - Mejía-Velasco, Hugo R.

AU - Camacho-Machín, Matías

N1 - Funding Information:
This work was supported by Conacyt-México [grant number 169440 ], CONICYT/FONDECYT/POSDOCTORADO /No. 3150317 (Chile), and the Research Projects (grant numbers EDU2011-29328 and EDU2015-65270-R) in the Plan Nacional I + D + I of the Spanish MEC.
Publisher Copyright:
© 2016 Elsevier Inc.

PY - 2016/6/1

Y1 - 2016/6/1

N2 - In the context of qualitative research, this paper presents and analyses the strategies students used and the mathematical ideas that come to light when working with two tasks involving the study of relationships arising between a contextual situation and an associated mathematical model. The results show that by studying the different mathematical representations with the support of digital tools, it is possible for students to develop different analysis strategies that help them to understand the behaviour of the phenomenon and the connections between the associated representations. Extensive use of registers of representation could be seen as a means of interpreting and establishing the relationship between the mathematical model and the corresponding context. These results are an extension of the work on the qualitative study of differential equations and how students interpret them.

AB - In the context of qualitative research, this paper presents and analyses the strategies students used and the mathematical ideas that come to light when working with two tasks involving the study of relationships arising between a contextual situation and an associated mathematical model. The results show that by studying the different mathematical representations with the support of digital tools, it is possible for students to develop different analysis strategies that help them to understand the behaviour of the phenomenon and the connections between the associated representations. Extensive use of registers of representation could be seen as a means of interpreting and establishing the relationship between the mathematical model and the corresponding context. These results are an extension of the work on the qualitative study of differential equations and how students interpret them.

KW - Digital tools

KW - Interpreting

KW - Mathematical models

KW - Ordinary differential equations

KW - Representations

UR - http://www.scopus.com/inward/record.url?scp=84963738867&partnerID=8YFLogxK

U2 - 10.1016/j.jmathb.2016.03.001

DO - 10.1016/j.jmathb.2016.03.001

M3 - Article

AN - SCOPUS:84963738867

VL - 42

SP - 109

EP - 126

JO - Journal of Mathematical Behavior

JF - Journal of Mathematical Behavior

SN - 0732-3123

ER -