Σήμερα περπατάω προς το κέντρο.

In Greek, the verb ending usually tells you who the subject is.
Here, περπατάω means I walk / I am walking, so the pronoun εγώ (I) is not necessary.

You could say:

Εγώ σήμερα περπατάω προς το κέντρο.

but that would usually add emphasis, like I am walking to the center (maybe not someone else).

περπατάω comes from περπατάω / περπατώ, meaning to walk.

In this sentence, περπατάω is:

• 1st person singular
• present tense
• imperfective aspect

So it can mean:

• I walk
• I am walking

The exact English translation depends on context. Greek present tense often covers both a general action and an action happening now.

Both περπατάω and περπατώ are correct. They are two common forms of the same verb.

• περπατάω is very common in everyday speech
• περπατώ is also standard, and may sound a little more concise or formal depending on context

So this sentence could also be:

Σήμερα περπατώ προς το κέντρο.

Same meaning.

Σήμερα means today.

It tells you the time of the action. Greek often places time expressions near the beginning of the sentence, but this is flexible.

So:

• Σήμερα περπατάω προς το κέντρο.
• Περπατάω σήμερα προς το κέντρο.

both work.

Putting Σήμερα first gives it a natural focus, like Today, I’m walking toward the center.

προς means toward, towards, or sometimes to, depending on context.

In this sentence, it shows direction:

προς το κέντρο = toward the center / to the center

It emphasizes movement in the direction of something.

This is slightly different from other Greek prepositions you may learn, such as σε, which can mean to, in, or at depending on context.

After προς, Greek uses the accusative case.

The noun here is το κέντρο (the center), which is a neuter singular noun.
For many neuter nouns, the nominative and accusative forms are the same, so you still see:

• το κέντρο

That is why nothing visibly changes here, even though it is functioning as the object of the preposition.

It often means the city center / downtown, especially in everyday speech, if the context is about moving around a town or city.

So:

Σήμερα περπατάω προς το κέντρο.

would often naturally be understood as:

Today I’m walking toward downtown / the city center.

But literally, it is just the center, and context decides exactly what center is meant.

Yes. Greek word order is more flexible than English word order.

Possible versions include:

• Σήμερα περπατάω προς το κέντρο.
• Περπατάω σήμερα προς το κέντρο.
• Προς το κέντρο περπατάω σήμερα.

These all basically mean the same thing, but the emphasis changes.

• Σήμερα first emphasizes today
• Προς το κέντρο first emphasizes the destination/direction
• the most neutral everyday order here is the original one

A simple pronunciation guide is:

SÍ-me-ra per-pa-TÁ-o pros to KÉn-dro

A few notes:

• Σήμερα = SÍ-me-ra
• περπατάω = per-pa-TÁ-o
• προς = pros
• το κέντρο = to KÉn-dro

The stress marks show which syllable is stressed:

• Σήμερα
• περπατάω
• κέντρο

In Greek, the present tense commonly covers both:

• habitual action: I walk
• action happening now: I am walking

So περπατάω can mean either one, depending on context.

With Σήμερα, the sentence often sounds like a present-day situation or plan for today:

• Today I’m walking toward the center
• or Today I walk to the center

English usually makes a stronger distinction between I walk and I am walking, but Greek often does not need to.

Yes, but the meaning changes.

• προς το κέντρο = toward the center / in the direction of the center
• στο κέντρο = to the center / in the center, depending on the verb and context

With a verb of movement, στο κέντρο often means the endpoint more directly:
I’m going to the center.

With προς το κέντρο, the focus is more on direction.

So the original sentence highlights movement toward the center rather than simply arrival there.