Magister mihi librum Latinum dat.

• Magister = the subject: the person doing the action, the teacher
• mihi = the indirect object: the person receiving something, to me / for me
• librum Latinum = the direct object: the thing being given, a Latin book
• dat = the verb: gives

So the sentence is built like this:

subject + indirect object + direct object + verb

Even though Latin word order is flexible, those case endings tell you what each word is doing.

Because mihi is the dative form of ego (I).

Latin often uses the dative case where English uses to or for:

• mihi = to me / for me
• tibi = to you
• nobis = to us

So in this sentence, Latin does not need a separate word for to. The ending already shows that meaning.

Because librum is in the accusative singular. It is the direct object, the thing being given.

The basic dictionary form is liber = book, but when it becomes the direct object, it changes:

• liber = a book, the book as subject
• librum = a book, the book as direct object

So librum tells you that the book is receiving the action of giving.

Because Latinum is an adjective describing librum, and Latin adjectives must agree with the nouns they describe.

Since librum is:

• masculine
• singular
• accusative

the adjective must also be:

• masculine
• singular
• accusative

So:

• librum = book
• Latinum = Latin

Together: librum Latinum = a Latin book

Because magister is in the nominative case, which is the case normally used for the subject.

In this sentence:

• magister = nominative singular
• mihi = dative singular
• librum Latinum = accusative singular
• dat = verb

So magister is the one doing the giving.

Dat is:

• present tense
• third person singular
• from the verb do, dare = to give

So dat means:

• he gives
• she gives
• it gives

Because magister is masculine and means teacher, we understand it here as the teacher gives.

Latin often puts the verb near or at the end of the sentence, much more often than English does.

So Magister mihi librum Latinum dat is a very natural Latin order.

But Latin word order is flexible because the endings show the grammar. For example, these can mean the same basic thing:

• Magister mihi librum Latinum dat
• Mihi magister librum Latinum dat
• Librum Latinum mihi magister dat

Changing the order usually changes emphasis, not the core meaning.

Yes, often they can.

Because Latin uses case endings, the roles of the words are still clear:

• magister is still the subject
• mihi is still the indirect object
• librum Latinum is still the direct object

So Latin can move words around for emphasis:

• Mihi magister librum Latinum dat emphasizes to me
• Librum Latinum magister mihi dat emphasizes the Latin book
• Dat magister mihi librum Latinum strongly highlights the action gives

The exact nuance depends on context, but the basic meaning stays the same.

Classical Latin has no articles like English the and a/an.

So librum Latinum could mean:

• a Latin book
• the Latin book

You decide which one fits from the context.

This is very normal in Latin. The language usually leaves that distinction unstated unless the context makes it clear.

Because with verbs like give, Latin normally uses the dative case for the recipient.

So:

• mihi dat = gives to me

Using a preposition would usually not be the normal way to say this.

English often needs a preposition:

• gives a book to me

Latin often does the same job with a case ending instead:

• mihi

Here it is an adjective.

It describes librum:

• librum = book
• Latinum = Latin

So it means a Latin book, not the Latin language by itself.

If Latin wanted to use Latin as a noun, the form and context would be different.

Not all masculine second-declension nouns end in -us in the nominative singular. Some end in -er.

Magister is one of those nouns:

• nominative singular: magister
• accusative singular: magistrum
• genitive singular: magistri

So magister is just the normal dictionary form for teacher.

A common classroom pronunciation would be roughly:

mah-GIS-ter MEE-hee LEE-broom lah-TEE-noom daht

A few helpful notes:

• g is always hard, as in go
• c would always be hard too, though there is no c here
• v in restored classical pronunciation is like English w, but there is no v here either
• h in mihi is lightly pronounced or sometimes barely heard, depending on teaching tradition
• stress usually falls on gis in magister and ti in Latinum

Pronunciation varies somewhat by classroom tradition, but that will be understood well.

Yes. The dative case can often be translated as to or for, depending on context.

Here, with dat (gives), the most natural translation is to me:

• The teacher gives me a Latin book
• or The teacher gives a Latin book to me

But in other sentences, mihi might be better translated as for me. The exact English wording depends on the verb and the situation.