This paper investigates creativity in students’ constructions of everyday examples about basis in Linear Algebra. We analyze semi-structured interview data with 18 students from the United States and Germany with diverse academic and social backgrounds. Our analysis of creativity in students’ everyday examples is organized into two parts. First, we analyze the range of students’ creative products by investigating the mathematical variability in the more commonly mentioned examples. Second, we unpack some of the collective processes in the construction of students’ examples. We examine how creativity was distributed through the interactions among the student, the interviewers, and other artifacts and ideas. Thus, in addition to contributing to the process vs. product discussion of creativity, our work also adds to the few existing studies that focus on collective mathematical creativity. The paper closes with connections to anti-deficit perspectives in mathematics education and some recommendations for individual and collective creativity in the classroom.

中文翻译：

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线性代数中的日常示例：个人和集体创造力

本文研究了学生在线性代数基础示例日常构建中的创造力。我们分析了来自美国和德国的18名具有不同学术和社会背景的学生的半结构化访谈数据。我们对学生日常示例的创造力分析分为两个部分。首先，我们通过调查更常见的示例中的数学变异性来分析学生的创意产品的范围。其次，我们在构建学生榜样时会分解一些集体过程。我们研究了如何通过学生，访问员以及其他文物和想法之间的互动来分配创造力。因此，除了有助于创新过程与产品讨论之外，我们的工作还增加了一些针对集体数学创造力的现有研究。本文以与数学教育中的反赤字观点相关，并为课堂中的个人和集体创造力提供了一些建议。