Complejidad en el proceso de modelización de una tarea estadística

Restoy, Àngels Aymerich; Albarracín, Lluís

doi:10.4995/msel.2016.4121

Cited by 2 publications

(1 citation statement)

References 16 publications

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“…This separation into two differentiated domains entails the need for the mathematization of the phenomenon, and for the interpretation of the results obtained using the models constructed. However, the modelling process developed by students is actually documented to be more complex than it appears to be in the modelling cycle diagram, a complexity that may be at the origin of the difficulties for inexperienced modellers (Aymerich & Albarracín, 2016;Blum & Borromeo Ferri, 2009).…”

Section: / 15mentioning

confidence: 99%

Students Estimating Large Quantities: From Simple Strategies to the Population Density Model

Albarracín

Gorgorió

2018

EURASIA J MATH SCI T

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We study how a group of 16-year-old students solve a sequence of problems that require estimating large quantities. The problem sequence was designed to foster students creating mathematical models. We characterise the models constructed by the students while working both individually and in small teams and analyse how they evolve throughout the sequence because of having to deal with the restrictions imposed by the real-life context of the different problems. We observe that: a) the students progressively abandon the poorest strategies of the initial individual schemes to embrace strategies adaptable to a greater number of scenarios; b) students change the conceptual strategies that support their models, not as a result of a conceptual discussion, but as a consequence of a procedural obstacle or limitation; c) they adjust their models by introducing nuances, because of a better mathematization of the given situation. As a group, they finally reach a model -a generalization of the idea of population density -that is not only useful for solving a particular problem, but can apply to other situations.

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Section: / 15mentioning

confidence: 99%

Students Estimating Large Quantities: From Simple Strategies to the Population Density Model

Albarracín

Gorgorió

2018

EURASIA J MATH SCI T

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An open task to promote students to create statistical concepts through modelling

Albarracín

Aymerich

Gorgorió

2017

Teaching Statistics

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Summary This article reports on the solutions of a group of 22 students, aged 15/16 years old, when facing a statistical modelling activity. They were given the salary lists of 5 companies and were asked what could be said about their salary structure; no hint was given. The results show that students not only used a wide range of data concepts and procedures but also developed their own criteria to measure dispersion.

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Complejidad en el proceso de modelización de una tarea estadística

Cited by 2 publications

References 16 publications

Students Estimating Large Quantities: From Simple Strategies to the Population Density Model

Students Estimating Large Quantities: From Simple Strategies to the Population Density Model

An open task to promote students to create statistical concepts through modelling

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