Is there a leftist alternative in public education?

In Hungary, a selective educational system has evolved and seems to have stabilized, which is incapable of providing social equality even on the lowest level. The factors, which have pushed the quality of mass education "upwards", such as technology constraint, raison d'état, and labour movement, have disappeared. If it represents the fundamental values of public education (liberty, democracy and solidarity), is there a chance for progressive pedagogy to meet the political left again?