1 University of Wisconsin-Madison, USA.
J Learn Disabil. 2017 Nov/Dec;50(6):644-647. doi: 10.1177/0022219416679133. Epub 2016 Dec 8.
The three target articles presented in this special issue converged on an emerging theme: the importance of spatial proportional reasoning. They suggest that the ability to map between symbolic fractions (like 1/5) and nonsymbolic, spatial representations of their sizes or magnitudes may be especially important for building robust fractions knowledge. In this commentary, we first reflect upon where these findings stand in a larger theoretical context, largely borrowed from mathematics education research. Next, we emphasize parallels between this work and emerging work suggesting that nonsymbolic proportional reasoning may provide an intuitive foundation for understanding fraction magnitudes. Finally, we end by exploring some open questions that suggest specific future directions in this burgeoning area.
空间比例推理的重要性。它们表明，在符号分数（如 1/5）与大小或数量的非符号、空间表示之间进行映射的能力，可能对于构建稳健的分数知识尤为重要。在这篇评论中，我们首先反思这些发现处于何种更大的理论背景之中，这一背景主要源自数学教育研究。接下来，我们强调这项工作与新兴工作之间的相似之处，这些工作表明非符号比例推理可能为理解分数大小提供直观基础。最后，我们以探索一些悬而未决的问题结束，这些问题表明了这一新兴领域的具体未来方向。
