Final answer:
Charles Tansley wishes Mrs. Ramsay to observe him in academic regalia to gain validation and respect for his intellectual accomplishments. It shows his desire for external affirmation from someone he respects.
Step-by-step explanation:
The passage suggests that Charles Tansley would like Mrs. Ramsay to see him gowned and hooded, walking in a procession because it symbolizes his success and achievements.
Tansley likely desires the recognition and respect that comes with academic ceremonies and being part of an intellectual community. His wish for Mrs. Ramsay to witness this moment can be seen as a desire for validation from someone he respects or considers important, emphasizing his need for external affirmation of his worth and identity.