Increased interest in mathematical problem solving and in the development of problem-solving ability have demanded that mathematics educators give greater attention to problem-solving instruction. A four-step model for solving problems is followed by sets of suggestions for instructional use. (MP)

An instructional sequence for teaching graphing that has been extensively field tested in kindergarten through grade six is detailed. The material begins with point graphs, employs a movable y-axis to begin with minimal clutter, and has graphs constructed before reading graphs is required. (MP)

Guidelines are presented that are designed to help teachers maximize the usefulness of textbooks within their classroom instructional programs. It is noted that texts are the primary tools used in producing student learning, but it is the teacher who makes the textbook come to life. (MP)

The following five steps are designed to help teach a directed mathematics lesson: (1) introducing, (2) presenting, (3) analyzing, (4) practicing, and (5) applying. It is noted that teaching a directed lesson means to help students master specific mathematical skills, as well as to formulate concepts and understand principles. (MP)