近似数值估计与数学能力的相关分析:以一年级学生为研究对象

Eduardo Guimarães Mielo, Paulo Henrique Teixeira do Prado
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引用次数: 0

摘要

“数字感有两个特点:一是可分性,即在不计数的情况下,直接无误地识别从1到3的数字;二是区分数值大于可分性的数字的能力。”在不计数的情况下,这种类型的判别是通过近似估计来完成的,从中推断出一个数值近似系统。虽然近似的数值估计被认为是固有的,但它受到诸如待比较集之间的比例、外部因素等因素的影响,此外,它的准确性也随着年龄的增长而增加。这种认知能力被认为是数学学术成就的“预测器”。摘要本研究旨在探讨小学一年级学童的数学能力与数字估计的关系。这项研究对34名年龄在6到7岁之间的儿童进行了调查。他们的数学技能是用早期数学能力测试(TEMA-3)来测量的,该测试是按照协议进行的,旨在测量3到8岁儿童的一般正式和非正式数学技能。这个近似的数字估计值是用Panamath(一个管理辨别任务的软件)测量的,包括对几对集合的比较,指出最大的。将刺激的暴露时间设定为1200 ms,系统地改变各组之间的差异比例。结果表明,在数值近似系统测试中,基于集合的比例,易于区分。本研究调查了数感活动表现与数学技能表现之间的相关性的可能性,因为根据先前的研究,假设儿童对区分组间比例的敏感性越高,他在解决所解决的数学问题方面的表现就越好。尽管Pearson相关系数为0.31 (p = 0.07,略高于公认水平),但该值表明相关性中等至弱,并可能预测数学能力在数字辨别任务中的表现,尽管在数学发展中还有其他变量需要考虑。近似数字系统测试可以作为一种工具,用来初步跟踪那些在发展数学技能方面可能遇到问题的孩子。”
本文章由计算机程序翻译,如有差异,请以英文原文为准。
CORRELATIONAL ANALYSIS BETWEEN APPROXIMATE NUMERICAL ESTIMATE AND MATH ABILITIES: A STUDY WITH FIRST-GRADE SCHOOL STUDENTS
"The number sense has two characteristics: subitizing – the immediate and error-free recognition of numbers from one to three, without counting – and the ability to discriminate between numbers with values greater than the subitizable ones. Without counting, this type of discrimination is done by approximate estimate, from which a numerical approximation system is inferred. Although the approximate numerical estimate is considered innate, it is influenced by factors such as the ratio between the sets to be compared, external factors, in addition to its increasing accuracy with age. This cognitive ability has been identified as a “predictor” for academic achievement in mathematics. The presented research aimed to investigate the existence of a correlation between the approximate number estimate and math skills in first-grade school children. The study was carried out with 34 children aged between six and seven years old. Their math skills were measured using the Test of Early Mathematical Abilities (TEMA-3), which was administered following the protocol, designed to measure general formal and non-formal math skills of children from 3 to 8 years-old. The approximate number estimate was measured using Panamath – a software that managed the discrimination task –, consisting of comparisons of several pairs of sets, indicating the largest. The exposure time of the stimuli was set at 1200 ms and the ratio of the difference between the sets was systematically varied. The results showed an ease of distinction based on the proportions of the sets in the numerical approximation system test. This study investigated the possibility of a correlation between performance in the number sense activity with those of mathematical skills, as it is assumed that the greater the child's sensitivity to differentiating the proportions between sets, the better his performance in solving the mathematical problems addressed, accordingly to previous studies. Even though the Pearson’s correlation coefficient was 0.31 (p = 0.07, a little higher than accepted), the value indicates a moderate to weak correlation and a possible prediction in mathematical abilities based on performance in the numerical discrimination task, although there are other variables to consider in the mathematical development. The approximate number system test can be used as a tool to do and initial track of children who might experience problems in developing math skills."
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