Is education science?

In my opinion, Education is not a Science. It's a Technology.
Science is research. It is observation and experimentation and the formation of theories and the testing of them. Its purpose is to find out how the universe works.
Technology is the application of science to life. Its purpose is to use the principles discovered by science to perform useful tasks.

Education is an application of psychology and sociology.

Actually, I would say that research is science, in that the latter is slightly broader than the former, so it shouldn't be the other way round (minor quibble). (scientific) Research is the methodology of science.

Education (as in pedagogy) is, by most conventions (idk what is Socratic wadever), the systematic inculcation of critical thinking skills and areas of knowledge (broad/specific doesn't matter). Its aim is to provide one with the relevant skillsets (thinking and/or practical) and knowledge in particular areas, and with respect to governance, this becomes particularly pertinent for the economy.

The overlap between science and education is, IMO, the systematic nature of learning vs the systematic nature of investigating i.e. defined courses of investigation and exploration. As you might tell, this is a pretty shaky overlap. The other overlapping bit about science and education is that modern science demands education before one can properly embark on any science-related careers. And that half the time when people think/talk about science, it'd be about high school/college/university/wadever science taught in schools.

tl;dr science != education despite modern correlations.

Hadriel