This guide outlines an Option X course on problem solving techniques. The 16 learner objectives identified in the Mathematics Program Guide stress applications orientation to concepts about numbers and operations and common plane and solid figures. Techniques covered include working with diagrams, organizing information, using patterns, simplifying problems, and looking back. The document states that an activity designed for problem solving should not have a solution that is immediately apparent, and the guide provides a chapter reviewing each of the techniques listed above. Each chapter introduces the technique, states learner objectives, outlines an instructional strategy, gives sample activities, and concludes with a bibliography of suggested resources. Two appendices provide a list of problems to solve and list additional resources. (MP)