Final answer:
The fourth step of the problem-solving method involves implementing a course of action.
Step-by-step explanation:
In the problem-solving process, after identifying potential solutions and evaluating their feasibility, the fourth step is to implement the chosen course of action. This step requires putting the selected solution into practice to address the problem at hand effectively. It involves executing the plan or strategy that has been deemed the most viable and appropriate based on the evaluation carried out in the preceding steps.
Implementation is the pivotal phase where the proposed solution transitions from theory to practice. This phase demands careful planning, allocation of resources, and precise execution to ensure that the solution is deployed efficiently. It involves assigning tasks, setting timelines, and overseeing the execution process to achieve the desired outcome. Successful implementation is crucial for problem-solving as it marks the actualization of the chosen solution and moves towards resolving the initial problem.
In mathematical problem-solving, implementation involves applying the identified solution method or formula to the specific problem instance. For instance, in a problem involving algebraic equations, this step would involve substituting known values into the equation and performing the necessary calculations to obtain the solution. Execution of the proposed mathematical approach in this phase ensures that the problem is solved accurately and completely, providing the intended resolution.