Mi tutora dice que la conjugación mejora cuando escuchamos mucho español.

Because tutora is the feminine form of tutor.

• tutor = a male tutor / mentor / form tutor
• tutora = a female tutor / mentor / form tutor

Since the speaker is referring to a woman, Spanish uses tutora.

In Spain, tutor / tutora can also mean a teacher responsible for a class group, not just a private tutor.

Spanish often leaves out subject pronouns because the verb ending usually makes the subject clear.

• dice already means he/she says
• So Mi tutora dice naturally means My tutor says

You could say Ella dice, but it is usually unnecessary unless you want emphasis or contrast.

Here que means that and introduces a subordinate clause:

• Mi tutora dice que... = My tutor says that...

In English, that is often optional:

• My tutor says conjugation improves...
• My tutor says that conjugation improves...

In Spanish, que is normally required in this structure.

Spanish often uses the definite article more than English does.

So:

• la conjugación = conjugation

Even where English might say just conjugation, Spanish often prefers the conjugation grammatically.

Also, conjugación is a feminine noun, so it takes:

• la conjugación

Here mejora is a verb, from mejorar (to improve).

• la conjugación mejora = conjugation improves

It is:

• 3rd person singular
• present indicative

It matches la conjugación, which is singular.

Compare:

• mejora = improves
• mejora can also be a noun in other contexts, meaning improvement, but not in this sentence

Because escuchar usually means to listen to, while oír usually means to hear.

• escuchamos mucho español = we listen to a lot of Spanish
• oímos mucho español = we hear a lot of Spanish

Both can make sense in some contexts, but escuchar suggests more active attention, which fits well here.

Because Spanish escuchamos can be either:

• present: we listen
• preterite: we listened

You tell which one it is from the context.

Here it is clearly present because the sentence expresses a general truth or repeated idea:

• conjugation improves when we listen to a lot of Spanish

So escuchamos is understood as we listen.

Because the sentence expresses a general statement or habitual truth.

• Mi tutora dice... = something she says
• la conjugación mejora cuando escuchamos mucho español = a general rule or pattern

Spanish commonly uses the present tense for this kind of idea, just like English:

• Practice helps
• Conjugation improves when we listen a lot

Because cuando here is a conjunction meaning when inside a normal statement.

• cuando escuchamos mucho español = when we listen to a lot of Spanish

It only takes an accent when it is used in a question or exclamation:

• ¿Cuándo estudias? = When do you study?
• ¡Cuándo aprenderé esto! (literary/exclamatory)

So:

• cuando = no accent in statements
• cuándo = accent in questions or indirect questions

Not here. The indicative is the natural choice.

Why?

1. dice que... does not trigger the subjunctive by itself when reporting something as a fact.
2. cuando escuchamos mucho español refers to a general, real situation.

So:

• mejora = indicative
• escuchamos = indicative

You would expect the subjunctive after cuando only in certain future or not-yet-real situations, for example:

• Mejorará cuando escuchemos más español = It will improve when we listen to more Spanish

There, escuchemos is subjunctive because it refers to a future situation.

Because mucho here works as a quantity word meaning a lot of.

• mucho español = a lot of Spanish

Since español here refers to the language as an uncountable idea, Spanish uses singular mucho.

Compare:

• mucho español = a lot of Spanish
• muchos libros = many books

So you use:

• mucho with uncountable nouns
• muchos / muchas with plural countable nouns

And mucho de español would not be natural here.

Because in Spanish, names of languages are normally not capitalized.

So:

• español
• inglés
• francés

This is different from English, where you write:

• Spanish
• English
• French

Usually yes in grammar contexts, but learners should be careful with how natural it sounds.

In this sentence, la conjugación mejora is understandable and grammatical. It means your ability to conjugate verbs gets better.

But in everyday speech, a native speaker might also say something more natural like:

• mejoras la conjugación
• conjugas mejor
• tu manejo de las conjugaciones mejora

So conjugación is correct, but there may be more natural ways to express the same idea depending on context.

Usually it means My tutor says that... or My tutor says... in a general sense.

If you want to emphasize to me, Spanish often adds an indirect object:

• Mi tutora me dice que... = My tutor tells me that...

Without me, the sentence is more neutral and just reports what she says.

Yes, to some extent, but the original order is the most neutral and natural:

• Mi tutora dice que la conjugación mejora cuando escuchamos mucho español.

You could rearrange parts for emphasis, but not all changes sound equally natural.

For example:

• Mi tutora dice que, cuando escuchamos mucho español, la conjugación mejora.

That is also correct, and it emphasizes the when clause a bit more.

But the original sentence is clearer and more standard for learners.