This article is part of a special issue which builds on Italo Calvino's memos for the next millennium. More specifically, this paper gives an educational reading of the quality of exactitude. This quality is at the heart of what education is all about, viz. learning to give an adequate response to what things in the world demand of us -- students and teachers. This demands the collective building of a capacity to see the world in the same way. Hence, an education under the banner of exactitude is an education of the senses. It is argued for that such an education is an apt way to respond to the societal and ecological challenges we are increasingly faced with. This is made more concrete by fleshing out an alternative account of STEAM education.