There are dueling approaches to school choice in northern Manhattan’s District 6: one would eliminate elementary school zones so families can apply to any school while another wants families to fight for improvements at the struggling schools so there isn’t such pressure on the better schools in the district.

In another co-location conflict, parents at The Talented and Gifted School for Young Scholars in East Harlem, a kindergarten to 8th grade school, are upset about plans by the city to expand one of the schools with which they share their building into a high school. With seats in gifted and talented programs so limited, they say, the city should be allowing their school to grow.

Scooping his food with a spork, Chancellor Dennis M. Walcott shared a pre-Thanksgiving meal with the children at Public School 56 Lewis H. Latimer in Brooklyn, and talked about the importance of healthy eating. “It’s fun because we can come together and we don’t get to see each other on Thanksgiving,” said Mahagany Young, 9, a fourth grader. “Everyone here is friends and family to us.”

How many homeless students are enrolled in the city schools? How many live within walking distance of their schools? Those and other questions came into sharp focus this week with a news report about N-Dia Layne, a 4th grader searching for stability, with no clear answers from city agencies readily available.

A new, free resource to help parents understand the school enrollment process and connect with school personnel was released on Wednesday.

UPDATED: Average math scores for New York fourth graders fell by three points on the National Assessment of Educational Progress, also known as the Nation’s Report Card. New York was the only state in the country in which the scores declined. State officials and others reacted to the news.

Mayor Michael R. Bloomberg on Tuesday announced the expansion of a program to improve literacy in young black and Hispanic men, saying the ability to read will help them obtain diplomas that will lead to better jobs.

Jessica Rovello was principal for the day at the International High School at Union Square on Wednesday, where she talked to students about her company, Arkadium, and explained how to pursue careers in video game development. But she has been working with the school’s principal for the last year, lending her business experience to the school’s growth.

It wasn’t the first day of school, but it was certainly a new beginning for Hyde Leadership Charter School, in the first new education facility in Hunts Point in more than 30 years. Tuesday was the school’s official opening, with speeches, tours, a ribbon-cutting and a dance performance by students.

About 75 football players and cheerleaders at Fort Hamilton High School had a chance to meet Dustin Keller, a New York Jets tight end, in an event staged to promote healthy eating and the School Meals Program.