Elana Shneyer and Adam Kaufman live a few hundred feet from Public School 165, the Robert E. Simon School, on West 109th Street, at the edge of Morningside Heights in Manhattan. When they started looking for a kindergarten for their son, who will start in the fall, the school was an early stop.
That made them unusual.
Although their neighborhood is diverse, the children who go to P.S. 165, its zoned school, are mostly Hispanic and low-income. Most of the white students who live in the area it serves attend school elsewhere.
But Ms. Shneyer and Mr.