I dag lærer vi at sige datoer på dansk.

In modern Danish, i dag is normally written as two words and means today.

• i = in
• dag = day

So literally it is something like in day, but you should just learn i dag as the fixed expression for today.

You may sometimes see idag, but i dag is the standard modern spelling.

lærer here means learn.

The full sentence is:

I dag lærer vi at sige datoer på dansk.

Danish is a V2 language, which means the finite verb usually comes in the second position in main clauses.

So Danish often puts a time expression first, then the verb, then the subject:

• I dag = today
• lærer = learn / are learning
• vi = we

That is why Danish says:

• I dag lærer vi ...

instead of the more English-like order:

• Vi lærer i dag ...

Both can exist, but putting i dag first emphasizes today.

at is the marker for the infinitive, like English to in to say.

So:

• at sige = to say

After lærer vi, Danish uses the infinitive:

• lærer vi at sige = we are learning to say

This is very common in Danish:

• at læse = to read
• at skrive = to write
• at tale = to speak

In Danish, verbs usually do not change depending on the subject the way they do in English.

So the present tense form lærer is used with all persons:

• jeg lærer = I learn
• du lærer = you learn
• han lærer = he learns
• vi lærer = we learn
• de lærer = they learn

This is much simpler than English, where you have learn but learns for he/she/it.

datoer means dates.

The singular is:

• dato = date

The plural is:

• datoer = dates

The ending -er is a very common Danish plural ending. Not every noun uses it, but many do.

So here:

• at sige datoer = to say dates

In other words, the sentence is about learning how to say calendar dates in Danish.

på dansk means in Danish.

Danish often uses på with languages in expressions like this:

• på dansk = in Danish
• på engelsk = in English
• på tysk = in German

So:

• sige datoer på dansk = say dates in Danish

This is just the normal idiomatic way to express the language being used.

Yes, it is natural. at sige datoer means to say dates aloud / to express dates in speech.

Depending on context, Danish could also use other verbs, but here sige is perfectly normal because the lesson is about how to say dates.

So the sentence suggests something like:

• learning how to pronounce dates
• learning how to express dates verbally in Danish

A rough pronunciation guide is:

ee dah lay-er vee at see duh-to-er paw dansk

A few notes:

• i dag: the g in dag is soft or almost disappears in normal speech
• lærer: the æ is a vowel English speakers often need practice with
• sige: often sounds more like see-uh or see-e
• datoer: the vowels may merge a bit in fast speech
• dansk: the a is not like English a in cat

A more natural connected pronunciation may sound something like:

i da læ-r vi a si da-to-er på dansk

The exact sound varies by speaker and region.

Yes, you could. It is grammatically fine.

Compare:

• I dag lærer vi at sige datoer på dansk.
• Vi lærer i dag at sige datoer på dansk.

The difference is mostly focus:

• I dag first = emphasizes today
• Vi first = more neutral, with today added later

Because Danish is a V2 language, once you choose what comes first, the verb still stays in the second position.

Yes. lærer is the present tense.

In Danish, the simple present often covers both meanings that English separates:

• we learn
• we are learning

So in this sentence, the most natural English meaning is probably:

• Today we are learning to say dates in Danish

But grammatically Danish just uses the present tense lærer.

The structure is:

• I dag = time expression
• lærer = finite verb
• vi = subject
• at sige = infinitive phrase
• datoer = object
• på dansk = prepositional phrase

So a simple breakdown is:

Today + learn + we + to say + dates + in Danish

This is a very useful example of normal Danish word order after a fronted time expression.