@Lash,
Very different to the situation here: you can only get (full paid) sick days when you are sick, for up to six months for the same illness. (If longer, you get a reduced "salary" from the health insurgence.)
Staying at home because of ill children is regulated here differently: each parent may take ten working days off per year to care for the sick child - this is how the legal entitlement is defined. Single parents are entitled to the total number, i.e. 20 days. If there are two children, the number of sick days is doubled. If there are more than two children, however, there is an upper limit: this is 25 days per parent and 50 days for single parents.
Depending on the collective labour agreement of your job, you get five days or more fully paid. - Those insured in the mandatory health insurance can get child care sick pay (70% of your salary) for up to six weeks.