Iconic and Symbolic Representation in Early Mathematics Teaching

Joanna Żądło-Treder
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Abstract

Mathematics is an abstract science, it uses a specific symbolic language, a kind of code that is difficult for children to comprehend. Using operation signs and numbers is not simple and obvious for them. The learning of mathematics by children cannot therefore be based on symbols alone. Action is needed first. However, since there is a large gap between an action and a symbol, it is necessary to support the teaching of mathematics with graphic means. Introducing a graphic element as a kind of methodological aid requires careful preparation, motivation and embedding it in previous physical activities performed by children. Otherwise, such an item, instead of facilitating the understanding of a concept, hinders that understanding and becomes an illusory aid. This paper describes the role and importance of pictorial representation in early mathematics teaching. Based on selected examples of tasks from textbooks, the difficulties of illustrating mathematical concepts are presented, and appropriate methodological solutions in this area are indicated.
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早期数学教学中的象徵与符号表征
数学是一门抽象的科学,它使用一种特定的符号语言,一种儿童难以理解的密码。操作符号和数字的使用对他们来说并不简单明了。因此,儿童的数学学习不能仅仅基于符号。首先需要采取行动。然而,由于动作和符号之间存在着很大的差距,因此有必要用图形手段来支持数学教学。引入图形元素作为一种方法辅助需要仔细的准备,动机和嵌入它在以前的体育活动中进行的儿童。否则,这样一个项目,而不是促进一个概念的理解,阻碍了理解,成为一个虚幻的援助。本文阐述了图形表示在早期数学教学中的作用和重要性。本文以教科书中所选的任务为例,介绍了说明数学概念的困难,并指出了在这方面适当的方法解决方案。
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发文量
22
审稿时长
12 weeks
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