Her father loved me, oft invited me,
Still questioned me the story of my life
From year to year—the battles, sieges, fortunes
That I have passed.
I ran it through, even from my boyish days
To the very moment that he bade me tell it,
Wherein I spake of most disastrous chances:
Of moving accidents by flood and field,
Of hairbreadth scapes i' th' imminent deadly
Of being taken by the insolent foe
And sold to slavery, of my redemption thence,
And portance in my travels' history,
Wherein of antres vast and deserts idle,
Rough quarries, rocks and hills whose heads
It was my hint to speak—such was the process—
And of the Cannibals that each other eat,
The Anthropophagi, and men whose heads
Do grow beneath their shoulders. These things to
Would Desdemona seriously incline.
But still the house-affairs would draw her thence,
Which ever as she could with haste dispatch
She'd come again, and with a greedy ear
Devour up my discourse. (1.3.149-174)
Othello presents himself as an exotic, exciting person who has travelled the world and seen "Cannibals," "Anthropophagi" (man eaters), and "men whose heads do grow beneath their shoulders." In his stories, Othello fashions himself into an adventurous and worldly man and it's this person that Desdemona fell in love with as she "devour[ed] up" Othello's stories with a "greedy ear."
We're also interested in what Othello's speech reveals about his new father-in-law, Brabantio. According to Othello, Brabantio "loved" him and "oft invited" Othello to tell stories about himself. It wasn't until Othello married Brabantio's daughter that the old man's xenophobia came to light.