TRANIO, to Lucentio
Husht, master, here's some good pastime toward; (1.1.69)
There's that word "pastime" again. Here, Kate is causing quite a "scene" and Tranio and Lucentio watch and comment on the spectacle of Kate arguing with her father and Bianca's suitors in public. The point? We are all spectators and spectacles at one point or another. Kate is literally causing a "scene" but later she and Petruchio will watch others misbehave in public. Everyday life has become a kind of theater.
LUCENTIO
Counsel me, Tranio, for I know thou canst.
Assist me, Tranio, for I know thou wilt.
TRANIO
Master, it is no time to chide you now.
Affection is not rated from the heart.
If love have touched you, nought remains but so:
Redime te captum quam queas minimo. (1.1.159-164)
Tranio's role as advisor and mentor is unusual because elsewhere in the play, servants don't subvert the typical dynamic of power between master and servant. Tranio is helpful when it comes to Lucentio getting his way, but it's doubtful that Lucentio's father would see the servant as a good "teacher" for his son.
Quote 3
TRANIO
Let's be no stoics nor no stocks, I pray,
Or so devote to Aristotle's checks
As Ovid be an outcast quite abjured.
Balk logic with acquaintance that you have,
And practise rhetoric in your common talk;
Music and poesy use to quicken you;
The mathematics and the metaphysics—
Fall to them as you find your stomach serves you.
No profit grows where is no pleasure ta'en:
In brief, sir, study what you most affect. (1.1.31-40)
Tranio's insistence that Lucentio study "Ovid" is actually a clever way of promoting the relevance of real–life experience – falling in love. Critics point out that Shrew tends to agree with Tranio's point of view. Formal education is often usurped by worldly learning.