According to the Constitution (Grundloven), we have compulsory education, but not compulsory schooling, meaning that the parents can provide education at home. We have written before that many German families are moving here exactly because of this opportunity. There are more than 1,500 homeschooled children in Denmark.
The parents can either directly teach their children or hire tutors (face-to-face or online). Every other subject besides Danish can be taught in the native language. There are no specific qualifications required for the parents or tutors, and there is freedom of teaching method. To be able to homeschool your child, you need to inform the municipality (kommune) first, because they are responsible for the bi-yearly supervision (tilsyn) to ensure that the education lives up to the standards. It is mandatory to teach Danish, English, math, science, and social studies.
There is no financial support for homeschooling. Despite being something similar to a “friskole,” the money does not follow the child in this situation. Also, after 9th grade, the students will be able to continue in the organized education system. If you want to know more, read the FAQ. If you want to speak with others who already do it, check out these Facebook groups.