期刊名称：Eurasia Journal of Mathematics, Science & Technology Education
印刷版ISSN：1305-8223
电子版ISSN：1305-8223
出版年度：2018
卷号：14
期号：10
页码：1-15
DOI：10.29333/ejmste/92285
出版社：Pamukkale Univ Dept Sci Education
摘要：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.
关键词：models; modelling-eliciting activities; estimation; population density;
compulsory secondary education
