An important obstacle has been the lack of an everyday, common sense, reliable approach to solving problems. A reliable, consistent approach to solving problems makes it possible for students to use the new concepts presented, study the solutions of the problems, think about the new concepts, and come to a true understanding of the subject. The process of developing meaningful problem solutions always leads to greater understanding of the subject matter. It is a constant process of building and reinforcing. Success in problem solving breeds success in learning, and with success comes that upward spiral all of us would like to see for our students.
Reliable problem solving does a great deal toward achieving that goal.
It opens the door to greater achievement through mastering the subject matter and experiencing the satisfaction of success. The importance of problem solving as an instructional tool cannot be overemphasized. The burden of carrying out the mechanics of problem solutions is now greatly reduced by computer programs designed to take care of many routine functions. Genuine learning can then take place and the student can solve the problems. A new emphasis on problem solving as a learning tool must take place, for today's students are the people who will run the world tomorrow.