Measurement concepts such as volume and surface area provide rich contexts for real-world applications of number processes. Despite their importance, many students and prospective teachers show superficial understanding of measurement concepts. A lack of spatial reasoning and integration of geometric knowledge in problem solving situations may be the cause. This study seeks to determine the connection between spatial reasoning and discourse in influencing students’ mathematical reasoning in measurement situations. We analysed 118 year 8 to 10 students’ responses on two scenarios: (1) manipulation of 3D relations in 2D format and (2) explanation of changes in the volume and surface area of a shoe box after enlargement. The results showed that successful reasoners demonstrated a connected, integrated abstraction between numerical and geometric schemes, leading to success in reasoning about volume and surface area situations.

中文翻译：

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空间推理对测量情况分析的影响

诸如体积和表面积之类的测量概念为数字过程的实际应用提供了丰富的上下文。尽管它们很重要，但许多学生和准教师对测量概念仍显示出肤浅的理解。原因可能是在解决问题时缺乏空间推理和几何知识的整合。本研究旨在确定空间推理与话语之间的联系，以影响学生在测量情况下的数学推理。我们分析了118种8至10年级学生在以下两种情况下的反应：（1）以2D格式处理3D关系，以及（2）解释鞋盒扩大后体积和表面积的变化。结果表明，成功的推理者表现出了联系，