Developing a Problem-Solving Lesson
Problem solving is one of the most important mathematical abilities that teachers can foster in students, as evidenced by its prominent role in NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) and An Agenda for Action (1980). Because of the increased availability of calculators and computers, knowledge of which computations are necessary is more important than proficiency in carrying out those computations. As a result, elementary school teachers are being encouraged and entreated to teach problem solving. However, teaching such a topic at higher cognitive levels is far from easy; the key is to be able to ask good questions. Because excellent problem-solving questions are seldom created “on the spot,” teachers will benefit from writing lesson plans that include questions they can ask at crucial moments, keeping in mind they may not need the questions at all.