People with strong intrapersonal intelligence are often introspective, prefer working alone, and are very self-aware.
Example
A student with strong intrapersonal intelligence may not like working in groups, or save certain kinds of work for home.
In the classroom
Teachers interested in developing intrapersonal intelligence often try to encourage their learners' self-awareness and autonomy. Learner diaries and developing learning skills such as dictionary use and effective recording of vocabulary are ways to help this.
Further links:
https://www.teachingenglish.org.uk/article/vocabulary-autonomy
https://www.teachingenglish.org.uk/article/learnenglish-teens-learner-diary