That term came about when Amy Chua wrote a book called "Battle Hymn of the Tiger Mother" and she wrote about how she pushed her kids to do things like taking violin lessons.
Several books like Bringing up Bebe and the BattleHymn of the Tiger Mother have debated the frenzy of overachieving, helicopter parents living out their own dreams by pushing their kids.
According to Chua, who expounded on her ideas in a popular book, BattleHymn of the Tiger Mother, the typical Asian mom prioritizes academics and musical accomplishment (in classical piano and violin only) over typical fun kid stuff like sleepovers and playdates.