Final answer:
The acting style that emphasizes thinking over feeling is analytical, which involves intellectual engagement and careful evaluation of a character's motivations and storyline.
Step-by-step explanation:
The style of acting that focuses on thinking more than feeling is analytical. This approach is less about expressing emotion and more focused on intellectual engagement with the material. When actors use analytical skills, they are delving into the character's motivations, the storyline, and the logical progression of the play or script. Intellectual pursuits like these require one to analyze, interpret, and evaluate different elements in order to create a believable and thoughtful performance. On stage, this means the actor must remain outwardly aware and process new information from the behavior of others and the unfolding events around them, which invokes their analytical capabilities rather than simply emoting.