Requirements for reasoning, explaining, and generalizing mathematical concepts increase as students advance through the educational system; hence, improving overall mathematical proficiency is critical. Mathematical proficiency requires students to interpret quantities and their corresponding relationships during problem-solving tasks as well as…

The article reports the results of a longitudinal research study conducted in three mathematics classes in Czech schools with 62 pupils aged 12-18 years. The pupils were exposed to the use of selected heuristic strategies in mathematical problem solving for a period of 16 months. This was done through solving problems where the solution was the…

A common activity in school mathematics is to derive a function from a table of values. There are two general strategies one might adopt to determine the function f. First, one might try to determine a connection between a particular n and f(n), and then evaluate whether it holds for other values of n. An alternative strategy would be to look for…

Examines whether problem solving, decision making, and other thinking skills depend more on deep expertise in a specialty or on reflective awareness and general strategies. General and specialized knowledge function in close partnership. The partnership's nature and implications for educational practice are explored. (Author/BJV)

Discusses strategies for teaching social skills to children with learning and behavior problems, including how to select students for training, which social skills to use, teaching discrete skills and problem-solving routines, and helping students generalize training. Different types of social skills and assessment approaches are identified.…