My informant is a 48 year-old woman who has lived her whole life in China by now.

"This a game we have all played in kindergarten. Several people sit in a circle. 
except for one stands outside of the circle; they are in charge of throwing a 
handkerchief. After running around the circle, the person will drop the 
handkerchief behind someone’s back. That person must now get up quickly and chase
the person who dropped the handkerchief. If the chaser catches the person, 
then they are winner. If not, they are the loser and will have to pay a penalty. 
The game is played until each person has had a chance to throw the handkerchief. "

丢手绢
(diu-shou-juan)
Throw the handkerchief

丢手绢
(diu-shou-juan)
Throw the handkerchief

轻轻地丢在小朋友的后边
(ching-ching-de-diu-zai-shiao-peng-yoo-de-ho-mian)
Put it back of our friends quietly

大家不要告诉他
(da-gia-boo-yiao-gao-soo-ta)
We all do not tell her

快点快点捉住他
(kuai-dian-kuai-dian-zhuo-zhoo-ta)
Quikely,quikely catch her

快点快点捉住他
(kuai-dian-kuai-dian-zhuo-zhoo-ta)
Quikely,quikely catch her



She thinks kids are taught to play this game along with singing this song at 
kindergarten is a good outdoor activity for them to interact and get along well 
with each other.

I've also played that game in my childhood, I think it's really much more fun to 
play with each other face to face back to those times, comparing to nowadays kids
just each holding an iPad alone.