等号:早期代数学习中的问题及解决方法

Nenad Milinković, Sanja M. Maričić, Olivera J. Đokić
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引用次数: 0

摘要

等号是数学中最重要的概念和符号之一,理解等号对于学习和理解所有数学内容,特别是代数,都是至关重要的。本文将关注与这一概念的形成和理解相关的问题,并提出一种基于现实生活情境的上下文建模(建模长度、平衡等)的学习方法,旨在克服这种误解。在本文的实证部分,我们通过平行组实验和小学四年级学生(N = 257)的样本,检验了学习代数的方法框架对等号理解的影响。结果表明,基于现实情境情境建模的方法提高了学生对等号(数学等价的象征)的理解,并提高了他们解决包含等号的问题的能力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The equals sign: The problem of early algebra learning and how to solve it
The equals sign is one of the most important concepts and symbols in mathematics, the understanding of which is crucial for learning and understanding all mathematical content, especially algebra. The paper will draw attention to the problems related to the formation and understanding of this concept, and present a methodological approach to learning based on the context modeling of real-life situations (modeling length, balance, etc.), with the aim of overcoming this misconception. In the empirical section of the paper, we examined the effects of the methodological framework of learning algebra on the understanding of the equals sign through an experiment with parallel groups, and on a sample of the fourth-grade students of primary school (N = 257). The obtained results show that the methodological approach based on the context modeling of real-life situations improves student understanding of the equals sign, as a symbol of mathematical equivalence and their ability to solve problems containing this sign.
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