Recent observations of the solar atmosphere have provided new insights concerning medium-sized jet phenomena taking place in the solar corona. These jets are magnetically controlled and typically take place in regions where the mean magnetic field has an open structure. Observations indicate that at least two different types of jets exist. A simple jet that generally has a near steady state evolution phase with a well behaved and collimated outflow stream. The second type typically combines the characteristics of the first type with an explosive behaviour that significantly changes the topological structure of the jet outflow. Models have attempted to provide physical explanations to the observations, and are in general able to capture a number of the observational characteristics. This talk will discuss both the observations and the models, emphasizing where we succeed and where new progress is need