Using a Meniscus to Teach Uncertainty in Measurement

I have found that students easily understand that a measurement cannot be exact, but they often seem to lack an understanding of why it is important to know something about the magnitude of the uncertainty. This tends to promote an attitude that almost any uncertainty value will do. Such indifference may exist because once an uncertainty is determined or calculated, it remains as only a number without a concrete physical connection back to the experiment. For the activity described here—presented as a challenge—groups of students are given a container and asked to make certain measurements and to estimate the uncertainty in each of those measurements. They are then challenged to complete a particular task involving the container and a volume of water. Whether the assigned task is actually achievable, however, slowly comes into question once the magnitude of the uncertainties in the original measurements is compared to the specific requirements of the challenge.