Collin and Alexis Gosselin, both 6, are now being homeschooled, a source close to the situation tells PEOPLE. Despite reports of violence and bullying, the children are not behaving as badly as has been claimed, the source says.
"The situation is being grossly overstated," the source says. "The kids are going through a challenging time, but Kate doesn't feel this is something that should be discussed publicly. It is a private matter."
With the divorce, Kate has said the children have had difficult moments – but adds that in general, the eight (twins Cara and Mady and sextuplets Alexis, Hannah, Leah, Aaden, Collin and Joel) have weathered the storm. "They're just amazing, resilient, loving kids," she told PEOPLE recently.
A representative for TLC declined to comment.