It means: Young disciples should honor their parents when they go home, and love their brothers when they go out. From the Analects of Confucius (Spring and Autumn Period), learning comes first.

Don't slow down when parents call; Parents, don't be lazy.

It means: when parents call, they should promise quickly; Parents have orders to do it quickly. From (Qing) Li Yuxiu's Disciples Rules.

Filial piety, the classics of heaven, the meaning of the earth.

Meaning: filial piety to nature. From the book of filial piety.

Dare not answer the phone slowly, sincere and cheerful.

It means: when parents call, they should promise immediately, not neglect, but be sincere.

Meaning, smile. From "Persuade to repay kindness".