Question:
What did the narrator ask Miss Beam?

Answer:
The narrator asked Miss Beam about her teaching methods.

Explanation:
The question is referring to a conversation between the narrator and Miss Beam. In the passage, the narrator mentions that Miss Beam was an experienced teacher, and the narrator was curious to know about her teaching methods. The passage does not mention anything about asking Miss Beam about her children or students directly.

Passage Analysis:
To understand why the correct answer is option 'C' (about her teaching methods), let's analyze the passage:

The passage describes Miss Beam as an experienced teacher who had taught for many years. It highlights her qualities as a teacher, such as being enthusiastic, resourceful, and caring. The narrator is impressed by Miss Beam's teaching skills and decides to have a conversation with her to gain insights into her teaching methods.

Key Points:
- Miss Beam is an experienced teacher.
- The narrator is impressed by Miss Beam's teaching skills.
- The narrator wants to know about Miss Beam's teaching methods.

Elimination:
Let's eliminate the other options to further confirm why option 'C' is the correct answer:

a) About her children: The passage does not mention anything about Miss Beam's children. It focuses on her teaching abilities, not her personal life.

b) About her students: The passage briefly mentions Miss Beam's students but does not indicate that the narrator asked her about them. The main focus of the conversation is on Miss Beam's teaching methods.

c) About her teaching methods: This option is the correct answer as it aligns with the passage's context and the narrator's intention to learn from Miss Beam's teaching techniques.

d) None of these: This option is incorrect because the narrator does ask Miss Beam a specific question, and it is mentioned in the passage that the narrator wants to know about her teaching methods.

Conclusion:
Based on the analysis of the passage and elimination of the other options, the correct answer is option 'C' - the narrator asked Miss Beam about her teaching methods.