Mathematicians need to talk and writeabout their mathematics. This includes undergraduates and MSc students, who may be writing a dissertation or project report, preparing a presentation on a summer research project, or preparing for a job interview. We think that it can be helpful to think of this as a form of story telling, as this can lead to more effective communication. For a story to be engaging you also need to know your audience.In this session, we'll discuss what we mean by telling a mathematical story, give you some top tips from our experience, and give you a chance to think about how you might put this into practice. The session will be of relevance to all undergraduates and MSc students, not only those currently writing a dissertation or preparing an oral presentation.