我们在同一页吗?数学讨论中的语言同步建模与数学素养

Yukyeong Song, Wanli Xing, Xiaoyi Tian, Chenglu Li
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引用次数: 1

摘要

数学讨论已成为提高数学素养的一种流行的教育策略。虽然一些研究将数学素养与语言能力和语音技能等语言因素联系起来,但没有研究考察语言同步性和数学素养之间的关系。在这项研究中,我们从学生和辅导员之间的20,776个在线数学讨论线程中模拟语言同步性和学生的数学素养。我们进行了交叉递归量化分析(CRQA)来计算每个线程中的语言同步性。比较高、低数学素养组CRQA指标的统计检验结果显示,高数学素养组学生的复发率(RR)、复发线数(NRLINE)和平均线长(L)显著高于高数学素养组,而确定性(DET)和归一化熵(rENTR)显著低于高数学素养组。这一结果表明,数学素养高的学生更有可能与辅导员分享常用词,但他们会对这些常用词进行释义。另一方面,数学水平低的学生倾向于重复老师讲的完全相同的短语。这些发现为数学讨论提供了更好的理解,并可能指导教师促进有效的数学讨论。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Are We on the Same Page? Modeling Linguistic Synchrony and Math Literacy in Mathematical Discussions
Mathematical discussions have become a popular educational strategy to promote math literacy. While some studies have associated math literacy with linguistic factors such as verbal ability and phonological skills, no studies have examined the relationship between linguistic synchrony and math literacy. In this study, we modeled linguistic synchrony and students’ math literacy from 20,776 online mathematical discussion threads between students and facilitators. We conducted Cross-Recurrence Quantification Analysis (CRQA) to calculate linguistic synchrony within each thread. The statistical testing result comparing CRQA indices between high and low math literacy groups shows that students with high math literacy have a significantly higher Recurrence Rate (RR), Number of Recurrence Lines (NRLINE), and the average Length of lines (L), but lower Determinism (DET) and normalized Entropy (rENTR). This result implies that students with high math literacy are more likely to share common words with facilitators, but they would paraphrase them. On the other hand, students with low math literacy tend to repeat the exact same phrases from the facilitators. The findings provide a better understanding of mathematical discussions and can potentially guide teachers in promoting effective mathematical discussions.
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