Mathematical problems can be divided into two types, namely, process-open and process-constrained problems. Solving these two types of problems may require different cognitive mechanisms. However, there has been only one study that investigated the differences of the cognitive abilities in process-open and process-constrained problem solving, and…

Although many students who enter kindergarten are cognitively ready to meet the demands of the kindergarten mathematics curriculum, some students arrive without the early abstract reasoning abilities necessary to benefit from the instruction provided. Those who do not possess key cognitive abilities, including understandings of conservation,…

Examines the early learning experiences of great men and women mathematicians to determine whether their lives were stimulated in symbol modes that generated semiautonomous cognitive systems of acquiring, processing, and originating vast complexities of abstract mathematical concepts. (HOD)