Final answer:
Without specific text from Arthur Miller's "The Crucible", it's challenging to analyze Danforth's reaction to Abigail's dancing and how his opinion of her might change. Danforth is a judge in the play, and his views could shift with new evidence, but exact details require direct reference to the pertinent scene.
Step-by-step explanation:
The student's question seems to refer to a character named Danforth reacting to the news of Abigail's dancing and whether his opinion of her changes as a result. While the provided texts do not directly address a character named Danforth or Abigail's dancing, in the context of Arthur Miller's play "The Crucible", Deputy Governor Danforth is known to be a character who deals with the Salem witch trials. If the reference is indeed to "The Crucible", Danforth's opinion of Abigail Williams may vary as he discovers more about her actions and behavior, such as her involvement with dancing in the woods - an action frowned upon in the Puritan society and seen as possible evidence of witchcraft. Danforth's reaction would be critical, given his role as a judge during the trials. His assessment of her character could potentially change based on new revelations, which would be evident through his dialogues and changes in demeanor towards her.
However, without the specific text or scene from "The Crucible" addressing this scene, it is difficult to provide a concrete analysis of Danforth's reaction and whether his opinion of Abigail changes. Should the student reference the specific part of the play where this incident is discussed, a more detailed analysis can be provided.