In ** problem solving **students are required to use their accumulated knowledge of mathematics in new situations when they:

• recognize and formulate problems;

• determine the sufficiency and consistency of data;

• use strategies, data, models, and relevant mathematics;

• generate, extend, and modify procedures;

• use reasoning (i.e., spatial, inductive, deductive, statistical, or proportional) in new settings; and

• judge the reasonableness and correctness of solutions.