Many types of learning require the mapping of information across situations. The proposed organizational framework extends the cognitive study of mappings across problems to include mappings across representations, solutions, and sociocultural contexts. I apply one-to-one, one-to-many, and partial mappings to analyze representative cases that include ones studied within alternative frameworks that have extended the cognitive approach. My objective is to support readers in reflecting on how mappings influence learning through asking new questions and providing an approach for answering those questions. (Contains 5 figures and 4 tables.)