An expanding range of apps supported by wearable and mobile devices are being used by people engaged in personal informatics in order to track and explore data about themselves and their everyday activities. While the aspect of data collection is easier than ever before through these technologies, more advanced forms of support from personal informatics systems are not presently available. This lack of next generation personal informatics systems presents research with an important role to fill, and this paper presents a two-step contribution to this effect. The first step is to present a new model of human cooperation with intelligent computing, which collates key issues from the literature. The second step is to apply this model to personal informatics, identifying twelve key considerations for integrating intelligent computing in the design of future personal informatics systems. These design considerations are also applied to an example system, which illustrates their use in eliciting new design directions.