Beyond content: exploring the neglected dimensions of mathematics literacy

Zhihui Fang, Suzanne Chapman, Geoffrey C. Kellogg, Michelle Commeret
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Abstract

Abstract Becoming mathematically literate means not only knowledge of the content of mathematics but also understanding of the nature of mathematics and the literate practices involved in the creation, communication, and consumption of its content. This case study examined one mathematician’s view of the nature of mathematics and his literate practices. Data collected include semi-structured interviews with the mathematician, observations of his daily work routines, and his think-alouds during the reading of a disciplinary text. These data were analyzed qualitatively through an iterative process involving multiple readings and identification and refinement of codes. The analysis revealed that the mathematician (a) viewed mathematics as rigorous and demanding, both theoretical and practical, relatively stable but highly rewarding, interconnected with other disciplines, and involving discipline-legitimated discursive practices; (b) engaged in extensive reading/viewing and writing, valued learning from repeated trials and errors, and collaborated with an international network of peers in research; (c) used a range of reading strategies (e.g. close reading, summarizing, questioning, storying, evaluating, annotating) to help him make sense of the disciplinary text; and (d) marshaled both verbal and visual resources to create specialized knowledge, engage in rigorous reasoning, develop logical argument, and construct professional identity. These findings provide important insights that can help teachers design activities that are authentic to mathematics practices and effective for promoting mathematics literacy.
超越内容:探索数学素养被忽视的维度
具有数学素养不仅意味着对数学内容的了解,还意味着对数学本质的理解,以及在数学内容的创造、交流和消费中所涉及的识字实践。这个案例研究考察了一位数学家对数学本质的看法和他的文学实践。收集的数据包括对这位数学家的半结构化访谈,对他日常工作的观察,以及他在阅读一篇学科文章时的自言自语。这些数据通过涉及多次读取、识别和改进代码的迭代过程进行定性分析。分析表明,数学家(a)认为数学是严谨和苛刻的,既是理论的也是实践的,相对稳定但回报很高,与其他学科相互联系,并涉及学科合法化的话语实践;(b)从事广泛的阅读/观看和写作,重视从反复的试验和错误中学习,并与国际同行网络合作进行研究;(c)运用一系列阅读策略(如细读、总结、提问、讲故事、评价、注释)来帮助他理解学科文本;(d)整合语言和视觉资源,以创造专业知识,进行严格的推理,发展逻辑论证,并构建职业身份。这些发现提供了重要的见解,可以帮助教师设计真实的数学实践活动,有效地提高数学素养。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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CiteScore
1.70
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