The document discusses hypotheses for improving an open social student model (OSM) by making it more fine-grained. It hypothesizes that a fine-grained OSM could increase self-awareness, help students find difficult concepts and set goals, de-incentivize competition by favoring guidance, and show students' knowledge at the concept level by connecting concepts as they are practiced in pairs. It also describes a concept map mastery grid that would group student data and concepts by topic and allow students to navigate exercises from concepts or the connections between them.