TY - JOUR
T1 - Relaciones entre pensamiento proporcional y pensamiento probabilístico en situaciones de toma de decisiones
AU - Vergara, Andrea
AU - ESTRELLA ROMERO, MARIA SOLEDAD
AU - Vidal-Szabó, Pedro
N1 - Publisher Copyright:
© 2020, Comite Latinoamericano de Matematica Educativa. All rights reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/3
Y1 - 2020/3
N2 - Making decisions is a daily act in the human being, to greater uncer t aint y more diff icult it is to decide. From a lear ning situation, consisting of deciding between two random games with dices, the relationship between proportional thinking and probabilistic thinking is studied, considering three states for proportional thinking and three types of probabilistic thinking. Under the focus of an instrumental case study, the decisions and arguments of Chilean high school students are analyzed. The results indicate that there are both beneficial and harmful relationships between proportional and probabilistic thinking, and that the difficulties in determining probabilities are not necessarily due to the absence of the use of proportions. A teaching that considers argumentation and learning of the sample space is recommended to channel the use of intuitive resources.
AB - Making decisions is a daily act in the human being, to greater uncer t aint y more diff icult it is to decide. From a lear ning situation, consisting of deciding between two random games with dices, the relationship between proportional thinking and probabilistic thinking is studied, considering three states for proportional thinking and three types of probabilistic thinking. Under the focus of an instrumental case study, the decisions and arguments of Chilean high school students are analyzed. The results indicate that there are both beneficial and harmful relationships between proportional and probabilistic thinking, and that the difficulties in determining probabilities are not necessarily due to the absence of the use of proportions. A teaching that considers argumentation and learning of the sample space is recommended to channel the use of intuitive resources.
KW - Decision making
KW - Heuristics
KW - Probabilistic thinking
KW - Proportional thinking
KW - Uncertainty
UR - http://www.scopus.com/inward/record.url?scp=85085554360&partnerID=8YFLogxK
U2 - 10.12802/relime.20.2311
DO - 10.12802/relime.20.2311
M3 - Article
AN - SCOPUS:85085554360
VL - 23
SP - 7
EP - 36
JO - Revista Latinoamericana de Investigacion en Matematica Educativa
JF - Revista Latinoamericana de Investigacion en Matematica Educativa
SN - 1665-2436
IS - 1
ER -