When considering a position as the leader of a K–5 day school in a new part of the country, a first-time head initially faced the challenge of making sure she was a good match for the school’s needs — and vice versa. As she settled happily into her new role, extensive meetings with the school community convinced her that she should concentrate on the best way to modernize the school’s pedagogical approach while maintaining its rich traditions. Then she encountered a more urgent problem: a 15-percent drop in enrollment.