Children develop their language when they explore and talk about literary texts. In this study, we explore the design of shared digital reading as a basis for critical reflection on the reading situation in an institutional context with its given opportunities and limitations. We examine six videotaped readings of one specific picture book app, with a focus on the strategies used by teachers in early childhood education and care institutions to control children's access to the medium and the types of verbal engagement (about the story and about the medium) that are generated by these different strategies. We use qualitative and quantitative analysis of video data. A qualitative categorization of the readings reveals the strategies Show, Show & Share, and Share. In analyzing the participants' verbal and multisensory engagement, we find that the Show strategy generates more utterances, especially about the story, as well as more time spent on dialogue.