1. Logical Argument Mapping (LAM) is a method for building common ground through cognitive change using logical argument diagrams. It aims to make implicit assumptions and limitations explicit to promote reflection. 2. LAM uses valid argument schemes as a normative standard, challenging users to represent arguments fully and address objections. This process reveals gaps and drives users to continually improve understanding. 3. For cognitive change to occur, relevant information must be visible while reducing cognitive load. LAM aims to integrate with the World Wide Argument Web to allow sharing of arguments.