Learn French: Je me promène dans le quartier. - I am taking a walk in the neighborhood.

This is a stem-changing verb. In the present tense, verbs like se promener (and acheter) change their unaccented 'e' to an 'è' for the je, tu, il/elle/on, and ils/elles forms. This happens because the spoken stress falls on that syllable. The nous and vous forms keep the plain 'e'.

Does the accent on promène change how the word is pronounced?

Yes! The unaccented 'e' in the infinitive promener sounds like a soft, quick 'uh', but the 'è' in promène makes an open 'eh' sound (like in the English word 'pet'). The spelling changes to 'è' precisely because the pronunciation changes.

Why is there a me in this sentence? Can I just say Je promène dans le quartier?

In French, taking a walk for pleasure uses the reflexive verb se promener (which literally means 'to walk oneself'), so you need the reflexive pronoun me. If you drop the me and just say Je promène, French speakers will wait to hear what you are walking, like a dog (Je promène le chien).

Why use dans instead of à or en for 'in the neighborhood'?