The conceptual field of measures of central tendency: A first approximation

IF 0.5 Q4 EDUCATION & EDUCATIONAL RESEARCH International Electronic Journal of Mathematics Education Pub Date : 2023-10-01 DOI:10.29333/iejme/13571
I. Cazorla, Miriam Cardoso Utsumi, Sandra Magina
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Abstract

This article aims to present a first approximation of the conceptual field of measures of central tendency (MCT), grounded in the theory of conceptual fields. We propose six situations according to type of variable, data presentation (raw or grouped) and amount of data. We revisit specific situations for the mean and exemplify several possibilities for introducing these measures. This is a theoretical reflection and a systematization of the knowledge produced in the area with a view to aiding it teaching in Brazilian basic education (PreK-12). We argue that from the early school years, students should collect data, use concrete and manipulable material, analyze the types of variable and context of data, transform them into different representations and based on the visual observation of data distribution, intuit the location of MCT to then calculate them.
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集中趋势测度的概念域:第一近似
本文旨在以概念场理论为基础,提出集中趋势测度的概念场的第一个近似。我们根据变量类型、数据表示(原始或分组)和数据量提出了六种情况。我们重新审视了中等收入人群的具体情况,并举例说明了引入这些措施的几种可能性。这是对该领域产生的知识的理论反思和系统化,目的是帮助巴西基础教育(pre -12)的教学。我们认为,学生应该从上学早期开始收集数据,使用具体和可操作的材料,分析数据的变量类型和上下文,将它们转换成不同的表示,并基于对数据分布的视觉观察,直觉MCT的位置,然后计算它们。
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