# Proportional reasoning

- Cambridge Mathematics
- Mathematical Salad
- Proportional reasoning

## Proportional reasoning

Recently the *CM Define It* app featured the word “proportion.” When you think of the term “proportion,” what springs to mind? What other mathematical words do you immediately connect with it?

We’ve used the CM Framework to generate the following visualisation to help with this question:

Figure 1. All glossary entries in the CM Framework which are connected to the word “proportion”

A word is connected to the word “proportion” if both of them occur as glossary links in the text of the same *waypoint* (piece of mathematical content). For each word, the number of waypoints where this happens is used to determine the strength of its connection to the word “proportion.”

Does this match the words you thought about? Are there any surprises? Is anything missing? Send us your thoughts on Twitter @CambridgeMaths.

As an additional challenge, can you imagine how each word might be connected to “proportion”? For example, “approximation” is connected via two waypoints, one being *Looking for pi*. This waypoint talks about establishing that the circumference and diameter of a circle are in proportion and suggests actions to find approximations for the ratio. The Framework provides many ways to explore such connections; for example, by finding waypoints connected by glossary entries, or following explicit “use of” and “development of” links between waypoints.

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