Positional data from small and mobile Global Positioning Systems has become ubiquitous and allows for many new applications such as road traffic or vessel monitoring as well as location-based services. To make these applications possible, for which information on location is more important than ever, streaming spatial data needs to be managed, mined, and used intelligently. This article provides an overview of previous work in this evolving research field and discusses different applications as well as common problems and solutions. The conclusion indicates promising directions for future research.