The French Revolution saw many changes brought about in France. One of the most important being the reform of their educational system. This change was slow at first, but as it gained momentum everything was centralized. The French put teacher education high on the list so central government established regulations and curriculum. They also took on the responsibility of paying the teachers but failed in that endeavor, eventually passing that responsibility off to the local communities. All of this was part of the evolutionary path toward what we have in public schools today.
Having a state school, that can give free education to the children of a country, can easily be described as the best, and most long lasting effect of the French revolution. Having public schools is essential, and for them to create this and have it last is an amazing feat.
Yes, the establishment of state schools could be considered the longest-lasing effect of the French Revolution, because it was a major change in the way that children were education. The change in education fit with the culture and goals of the French Revolution. There are many lasting changes, but the change to government-schools was so significant and lasting.
To single out any one thing that was the result of the French Revolution would be rather misguided. While the political shift did not entirely last, many things did. Some say that public or state funded schools are the longest lasting effect of the revolution. It is argued that many other things that were oppressed pre-revolution also have lasted the test of time. The Louvre and other such museums would be a great example. While this is still a public service related to education and there may be much to learn from the esteemed art collection found there, it is not a public school.
The French Revolution and the existence of state schools are two mutually exclusive subjects. This question makes absolutely not sense. The French Revolution happened in France, and was a horrific blood bath in terms of public execution. State schools are publicly funded schools that go from grades k-12, and refer to primary and secondary schools.