Many children are growing up in a “digital-by-default” world, where technologies mediate many of their interactions. There is emerging consensus that those who design technology must support children’s privacy and security. However, privacy and security are complex concepts that are challenging to design for, and centering the interests of children is similarly difficult. Through a document analysis of 90 HCI publications, we examine what problems and solutions designing for children’s privacy and security addresses and how this research engages with children. Applying Solove’s privacy taxonomy, we find that research addresses a range of problems related to information collection, processing, dissemination, and invasion at the organizational, system, and individual levels. Children’s participation in this research is largely limited to providing feedback rather than helping to guide the research itself. Based on these findings, we offer recommendations for designers to sharpen their privacy and security contributions and center children in their work.