Final answer:
Mathematical problem solving involves identifying knowns and unknowns, finding equations to relate them, solving those equations, and verifying the solution is reasonable using a structured approach.
Step-by-step explanation:
Problem Solving in Mathematics
Problem solving is a critical skill in mathematics that involves identifying knowns and unknowns and then finding an equation or equations to relate them to each other. In mathematics, we often start with a problem and gradually work our way toward the solution by following specific problem-solving strategies. This process generally comprises the following steps:
- Determine the knowns and unknowns.
- Find an equation that expresses the unknown in terms of the knowns. If there are multiple unknowns, more equations will be necessary.
- Solve the equations using appropriate mathematical methods.
- Check if the answer is reasonable, verifying that the solution is consistent with the context of the problem.
When solving problems, it is important to follow a structured approach. The 'Work It Out' feature in textbooks guides students through these steps, using examples to show how to apply the strategies effectively.