An important correction via the Ace of Spades:
The short version: The LA Times got it wrong in the first sentence of their article. Parents without teaching credentials can still educate their children at home under the various exemptions to mandatory public school enrollment provided in § 48220 et seq. of the Cal. Ed. Code. The parents in this case lost because they claimed that the students were enrolled in a charter school and that with minimal supervision from the school, the children were free to skip classes so the mother could teach them at home. There is no basis in law for that argument. If only the parents had attempted to homeschool their kids in one of the statutorily prescribed methods, they would have prevailed.
So the California Despair-O-Meter drops back down to a mere 7. And we all get a slap on the wrist for trusting the LA Times.