Empirical arguments rely on examples without necessarily addressing all cases. Students should be skeptical of empirical evidence and should seek more secure arguments for generalizations, such as those that explain why a generalization is true for all cases. Generalizing on the basis of patterns in data is an important mathematical practice;…

This paper draws on earlier work on ideas that underpin the collection and use of evidence in science in schools. It establishes that different types of practical work share the same procedural underpinnings. It then takes the work of Toulmin on argumentation to suggest that the idea of the "public claim" can be used to forge a link…