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Students' and Teachers' Conceptual Metaphors for Mathematical Problem Solving

机译:学生和老师的数学问题解决概念隐喻

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Metaphors are regularly used by mathematics teachers to relate difficult or complex concepts in classrooms. A complex topic of concern in mathematics education, and most STEM-based education classes, is problem solving. This study identified how students and teachers contextualize mathematical problem solving through their choice of metaphors. Twenty-two high-school student and six teacher interviews demonstrated a rich foundation for these shared experiences by identifying the conceptual metaphors. This mixed-methods approach qualitatively identified conceptual metaphors via interpretive phenomenology and then quantitatively analyzed the frequency and popularity of the metaphors to explore whether a coherent metaphorical system exists with teachers and students. This study identified the existence of a set of metaphors that describe how multiple classrooms of geometry students and teachers make sense of mathematical problem solving. Moreover, this study determined that the most popular metaphors for problem solving were shared by both students and teachers. The existence of a coherent set of metaphors for problem solving creates a discursive space for teachers to converse with students about problem solving concretely. Moreover, the methodology provides a means to address other complex concepts in STEM education fields that revolve around experiential understanding.
机译:数学教师经常使用隐喻来联系教室中的困难或复杂概念。解决问题是数学教育和大多数基于STEM的教育课中关注的一个复杂主题。这项研究确定了学生和教师如何通过选择隐喻来解决数学问题。 22名高中生和6名老师的访谈通过识别概念隐喻,为这些共享的经验奠定了坚实的基础。这种混合方法通过解释现象学来定性地确定概念隐喻,然后定量分析隐喻的频率和流行度,以探索教师和学生之间是否存在连贯的隐喻系统。这项研究确定了一组隐喻的存在,这些隐喻描述了几何学生和教师的多个教室如何解决数学问题。而且,这项研究确定了解决问题的最流行的隐喻是学生和老师共享的。解决问题的连贯隐喻的存在为教师与学生具体讨论解决问题的对话创造了一个话语空间。此外,该方法提供了一种解决STEM教育领域中围绕经验理解的其他复杂概念的方法。

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