Final answer:
The analytical method for solving problems is generally more accurate than graphical methods due to precise calculations. Why questions should be open-ended to avoid researcher bias. Kohlberg's interest in ethical dilemmas focuses on the reasoning behind decisions rather than the decisions themselves.
Step-by-step explanation:
To explore the dilemmas and questions presented, we need to understand the context of the tasks. The challenge may involve examining mathematical equations, analyzing ethical scenarios, or discussing problem-solving techniques in various subjects. Let's focus on the last task, which is related to solving problems both analytically and graphically. When comparing analytical and graphical techniques, it's important to note that analytical methods often provide more precise results than graphical methods. The reason for this is that graphical methods depend on the scale and accuracy with which the graph is drawn, which can introduce error. Meanwhile, analytical techniques use exact calculations to solve equations, thus minimizing the possibility of inaccuracies, especially when dealing with complex equations or numerous variables.
Regarding the consideration of why questions and the researcher's bias, it is crucial to phrase these questions in a way that allows for unbiased, open-ended responses. This ensures that the subject's answers reflect their true opinions or knowledge rather than being influenced by the wording of the question.
In addressing ethical dilemmas, such as those proposed by Kohlberg, it is not the decision itself that is of interest but the reasoning and moral principles behind the decision. Hence, in discussing scenarios or dilemmas, the primary focus should be on the depth and rationale of the argument rather than on the conclusion reached.