Each side blamed the other for the impasse in the United States’ third-largest school district, where the strike began on Oct. 17, and the union, which represents the city’s 25,000 teachers, has been without a contract since July 1. Mayor Lori Lightfoot and the Chicago Public Schools’ chief executive, Janice Jackson, blasted the Chicago Teachers Union in a joint news conference on Sunday for not accepting the school system’s offer.