The objective of this article is to take into account the functioning of representational cognitive tools, and in particular of notations and visualizations in mathematics. In order to explain their functioning, formulas in algebra and logic and diagrams in topology will be presented as case studies and the notion of manipulative imagination as proposed in previous work will be discussed. To better characterize the analysis, the notions of material anchor and representational affordance will be introduced.

中文翻译：

---

思维工具：数学案例

本文的目的是考虑表征认知工具的功能，特别是数学中的符号和可视化。为了解释它们的功能，代数和逻辑中的公式以及拓扑中的图表将作为案例研究呈现，并且将讨论先前工作中提出的操纵想象的概念。为了更好地表征分析，将引入材料锚和代表性可供性的概念。