Family education is a course in high school that young men and young women take where they learn "life skills" to be adults and run a house, have a job, etc. It can include a range of skills; from cooking, basic nutrition, how to budget and shop for food, how to read and understand labels on food, how to sew, how to take care of clothes, appliances, how to save money and budget.
It used to be a traditional, female-focused course that only high school girls took to prepare them for motherhood/being a wife. They used to be called "Home Economics" classes.
Since about the 1990s, boys and girls both take these classes as general "Life Skills" classes. Now, boys learn to cook and sew and girls take the "shop" classes, where students learn about cars, tools, machinery, engines, etc.
At least, that's what came to my mind. The ideas of the poster above me, about how it's early childhood education...that sounds right, too.
The precise curriculum of family education / life skills / home economics courses probably varies a lot.