By teaching to the three kinds of thinking and laying groundwork for the problem-solving model, student achievement should rise and qualities of education improve. The problem solving cycle mentioned three steps. First one must identify the problems to be addressed. Second comes the allocation of resources in order to solve the problem. Third comes the formulation of strategies for solving the problems.
All students make a determination whether their work is complete or needs improvement.
The distinction between average students and gifted comes in the degree to which they use the three kinds of thinking needed to problem solve. According to the triarchic theory and its idea that intelligence can be formed, three kinds of thinking are essential for true intelligence and problem solving and giftedness shows through in the degree to which a student uses the levels of thought. The first level of thinking is analytical which occurs when the components are applied to relatively familiar types of problems. Words such as analyze, evaluate, judge, compare and contrast and critique describe this level of thinking. On a base human level everyone performs these functions on a daily basis.