This material is a supplement to existing mathematics programs for young learners. The activities presented are based on assumptions about the young problem solver which are difficult to address in standard mathematics texts. In these pages it is assumed that each learner brings to the problem-solving effort a very personal experience base and a unique repertoire of approaches, strategies, and evaluative behaviors for solving problems. It is also assumed that true problem solving is not so much a search for the appropriate rule or algorithm, but rather a response to a personal inquiry characterized by exploration and discovery. Units include: (1) "The Corner Store"; (2) "The Track Meet"; (3) "The Construction Site"; and (4) "The Service Station." Answer keys and objectives for activities are provided. (YP)