Consilium magistrae mihi multum placet.

Because Latin often expresses this idea differently from English.

With placere, the thing that is pleasing is the subject, and the person who experiences the liking goes in the dative.

So in this sentence:

• consilium = the thing that pleases
• mihi = the person to whom it is pleasing
• placet = is pleasing

That is why Latin says something closer to The teacher’s advice is very pleasing to me rather than using a structure like English I like the teacher’s advice.

Because placere takes the dative for the person who likes something.

The forms of ego include:

• ego = I
• mei = of me
• mihi = to/for me
• me = me

Here Latin needs to me, so it uses mihi.

This is one of the most important patterns to learn with placet / placere:

• mihi placet = it pleases me / I like it
• tibi placet = it pleases you / you like it
• nobis placet = it pleases us / we like it

Here magistrae is best understood as genitive singular: of the teacher.

So:

• consilium = advice, plan
• magistrae = of the teacher

Together, consilium magistrae means the teacher’s advice or the advice of the teacher.

The genitive is commonly used in Latin to show possession or close association, just as English often uses ’s or of.

Yes. The form magistrae is ambiguous by itself. It could be:

• genitive singular = of the teacher
• dative singular = to/for the teacher
• nominative plural = female teachers

But in this sentence, the context points to genitive singular.

Why?

Because consilium magistrae naturally forms a noun phrase: the teacher’s advice.
Also, the sentence already has a dative, mihi, and magistrae does not fit well as the subject here.

So although the ending -ae can mean several things, the sentence structure tells you which one is intended.

Because with placere, the thing being liked is the subject.

So consilium is nominative singular and controls the verb:

• consilium ... placet = the advice pleases

This may feel backwards to an English speaker, because English usually says:

• I like the advice

But Latin says:

• The advice pleases me

That is why consilium is the subject, not mihi.

Because its subject, consilium, is singular.

• consilium = one piece of advice / one plan
• placet = singular it pleases

If the subject were plural, the verb would be plural too:

• consilia mihi placent = the plans / pieces of advice please me

So placet is singular simply because consilium is singular.

Here multum means very much or a lot.

In this sentence it is being used adverbially, modifying placet:

• mihi multum placet = it pleases me very much

This is common in Latin: a neuter accusative form can sometimes function like an adverb.

So although multum can also mean much as an adjective or pronoun in other contexts, here it works like English very much.

Because Classical Latin does not have articles like English the and a/an.

Latin simply says:

• consilium
• magistrae

and the context tells you whether English should use:

• the teacher’s advice
• a teacher’s advice
• sometimes just teacher’s advice

When translating into English, you add the article that sounds natural from the context.

Yes. Latin word order is much more flexible than English word order because the endings show the grammatical relationships.

So these could all express the same basic idea:

• Consilium magistrae mihi multum placet.
• Magistrae consilium mihi multum placet.
• Mihi consilium magistrae multum placet.

The meaning stays basically the same, but the emphasis can shift.

In your sentence, putting Consilium magistrae first gives prominence to the teacher’s advice, and ending with placet is also very natural in Latin.

Consilium has a wider range of meaning than one single English word.

Depending on context, it can mean:

• advice
• plan
• decision
• strategy
• counsel

So the exact English translation depends on what kind of consilium is meant in the passage.

That is very normal in Latin: one Latin word often covers several related English ideas.