Edutainment and game-based learning (GBL) describe quite similar approaches for learning.
Edutainment is everything from documentations on TV to audio books for learning. GBL is somehow a subset of edutainment I would say. GBL is learning by playing. This method of learning is actually quite old. It started with so called serious games already before the era of computers. Back then people probably played some kind of card games or similar. Computers enable mor opportunities of course. Today we have simulation games with which employees can learn how certain processes work in their company. There are also many games for children for learning different things from calculating to writing.
I think learning combined with playing is just great. Traditional, normal learning can be so hard and tiring sometimes that it would be just such relief if this could be made easier.
Of course learning can't be easy always. But I think especially for children this offers great opportunities for learning.