Here are some synonyms that help to capture the meaning:
* Haughty
* Conceited
* Snobbish
* Pompous
* Supercilious
Examples of high-headedness in action:
* A person who constantly brags about their achievements and dismisses the accomplishments of others.
* Someone who treats people with disrespect because they consider themselves superior.
* A leader who acts aloof and unapproachable.
Note: "High-headedness" can be a negative trait, as it often leads to conflict and strained relationships.