义务中等教育实体确定与建构的参考认识论模型

Q3 Multidisciplinary
Carlos Rojas Suárez, Tomás Ángel Sierra Delgado
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引用次数: 0

摘要

背景:通过对中学课程中几何知识的分析,揭示了二维几何与三维几何分离、几何建模活动弱化等现象。布鲁梭认为图形的构造是几何造型的第一个例子。目标:建立一个参考认识论模型,该模型清楚地列出了确定固体形状和大小的条件,并寻找能够构建固体的可能技术。设计:人类学教学理论框架下的理论研究。环境和参与者:建立的模型是过去三年开展的几项活动的结果:对学校文本的分析,以及对两所中学14至17岁学生设计容器的学习和研究路径的设计,实施和分析。数据收集和分析:该模型基于对从Pólya和其他作者的科学文本、官方文本和中等教育教科书以及进行的实验中收集的信息的分析。结果:该模型基于二维和三维几何的结构化研究,并允许指导研究过程,旨在始终如一地解决确定固体及其结构的问题。结论:开发的模型包括有关空间几何建模的问题,这些问题被认为是中学教育几何入门的核心。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Reference Epistemological Model Regarding the Determination and Construction of Solids for Compulsory Secondary Education
Background: The analysis of the geometric knowledge presented in the secondary education curriculum reveals phenomena such as the separation between 2D and 3D geometry and the weakening of the modelling activity in geometry. Brousseau considers that the construction of figures is a first example of geometrical modelling. Objectives: To build a reference epistemological model that clearly sets out the conditions that allow determining the shape and size of a solid and looking for possible techniques that enable constructing it. Design: theoretical research within the framework of the Anthropological Theory of the Didactic. Setting and participants: The model built is the result of several activities carried out in the last three years: an analysis of school texts, and the design, implementation, and analysis of a study and research path regarding the design of a container in two secondary schools with students aged between 14 and 17. Data collection and analysis: The model is based on the analysis of information collected from scientific texts by Pólya and other authors, from official texts and secondary education textbooks, and from the experiments carried out. Results: The model is based on the structured study of twoand three-dimensional geometry and allows guiding study processes aimed at consistently addressing the problem of determining a solid and its construction. Conclusions: The model developed includes questions regarding spatial-geometric modelling considered to be central in the introduction to geometry in secondary education.
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来源期刊
Acta Scientiae
Acta Scientiae Multidisciplinary-Multidisciplinary
CiteScore
0.70
自引率
0.00%
发文量
43
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