This document is designed to assist teachers in helping students in further development of problem-solving skills. It consists of: a statement of purpose; an introduction (noting the place of problem-solving in junior high school mathematics curricula); a definition of problem-solving; a four-stage general framework for solving problems (which includes understanding the problem, developing a plan, carrying out the plan, and looking back); a list of strategies for each of the four stages; and ways to evaluate problem-solving. The major portion of the document consists of: (1) six sample problems which show how the strategies in the problem-solving model may be applied instructionally; (2) classroom problems, organized separately for grades 7, 8, and 9; (3) computer problems, which also use the steps in the four-stage model; and (4) challenge problems related to number systems, ratio and proportion, measurement, geometry, and algebra. Answers to the problems are provided. A bibliography and (in appendices) a framework for multiple-choice tests and methods for evaluating problem-solving performance are included. (JN)