Το ότι αυτό το μάθημα έχει μεγάλη αξία φαίνεται κάθε φορά που μιλάω πιο άνετα.

Το ότι means the fact that.

In Greek, ότι by itself means that, but when you add the neuter article το in front of it, the whole clause becomes a noun phrase:

• ότι αυτό το μάθημα έχει μεγάλη αξία = that this lesson has great value
• το ότι αυτό το μάθημα έχει μεγάλη αξία = the fact that this lesson has great value

So here, Το ότι αυτό το μάθημα έχει μεγάλη αξία is the subject of the sentence.

Because the subject is not a plural noun; it is the whole idea:

Το ότι αυτό το μάθημα έχει μεγάλη αξία

Greek treats this entire clause as one thing, so the verb is singular:

• φαίνεται = it seems / it is apparent

You can think of it as:

• The fact that this lesson has great value is apparent...

Since the fact is singular, φαίνεται is singular too.

In Modern Greek, the normal pattern is:

• αυτός / αυτή / αυτό
  • article + noun

So:

• αυτό το μάθημα = this lesson

This is the standard way to say this + noun in Greek.

A native English speaker may expect something more like this lesson with no article, but Greek usually keeps the article:

• αυτό το βιβλίο = this book
• αυτή η μέρα = this day
• αυτό το μάθημα = this lesson

Μάθημα can mean several related things depending on context:

• lesson
• class
• school subject
• sometimes even course

In this sentence, the most natural choices in English are probably lesson or course, depending on the wider context.

So a learner should not assume that μάθημα always has only one fixed English equivalent.

Έχει μεγάλη αξία literally means has great value.

Greek often uses έχω with nouns in expressions where English might use either have or be:

• έχει σημασία = it matters / it has importance
• έχει αξία = it has value
• έχει ενδιαφέρον = it is interesting / it has interest

So in this sentence:

• αυτό το μάθημα έχει μεγάλη αξία = this lesson has great value

This is completely natural Greek.

Because αξία is a feminine singular noun, and here it is the direct object of έχει.

So:

• αξία = feminine singular
• μεγάλη agrees with αξία in gender, number, and case

That is why you get:

• έχει μεγάλη αξία

not:

• έχει μεγάλο αξία
• έχει μεγάλος αξία

Also, Greek often leaves out the indefinite article, so μεγάλη αξία can mean great value or a lot of value without needing a word for a.

Not really. Although φαίνεται comes from φαίνομαι, which is related to appearing or being visible, in many sentences it means:

• it seems
• it appears
• it becomes clear
• it is evident

So here, φαίνεται is not about physically seeing something. It means that the value of the lesson becomes apparent.

A natural English rendering would be something like:

• It becomes clear
• It shows
• It is evident

Κάθε φορά που means every time that or more naturally every time.

Breakdown:

• κάθε = every
• φορά = time / occasion
• που = that / when

So:

• κάθε φορά που μιλάω πιο άνετα = every time I speak more comfortably

This is a very common Greek structure for repeated events.

You can often translate it simply as whenever in English, though literally it is closer to every time that.

Both are correct.

The verb to speak can appear as:

• μιλάω
• μιλώ

In Modern Greek, μιλάω is very common in everyday speech, while μιλώ can sound a bit shorter or sometimes slightly more formal, depending on context and speaker.

So:

• μιλάω πιο άνετα
• μιλώ πιο άνετα

Both mean I speak more comfortably.

A learner should get used to seeing both forms.

Because πιο άνετα is adverbial: it describes how the speaker speaks.

• μιλάω = I speak
• πιο άνετα = more comfortably / more at ease

If you used άνετος / άνετη / άνετο, that would be an adjective describing a person or thing, not the manner of speaking.

So here:

• μιλάω πιο άνετα = I speak more comfortably / more at ease

This is a very natural Greek way to express increasing ease in speaking.

It can mean more comfortably, but the nuance is often closer to:

• more at ease
• more confidently
• with greater ease

The adverb άνετα often suggests ease, lack of strain, or naturalness, not only physical comfort.

So in a language-learning context, μιλάω πιο άνετα usually means:

• I speak more easily
• I feel more comfortable speaking
• I speak with more confidence

Greek uses the present tense here for a general, repeated situation.

The sentence means something like:

• whenever this happens, that becomes clear

So:

• φαίνεται = is apparent / becomes apparent
• μιλάω = I speak

This does not refer to one single moment only. It refers to a repeated pattern:

• every time I speak more comfortably, the value of the lesson becomes clear

This use of the present tense is very common in both Greek and English for habitual or repeated actions.

Yes. Greek word order is more flexible than English word order, although different orders can change emphasis.

The original sentence puts emphasis first on the whole fact:

• Το ότι αυτό το μάθημα έχει μεγάλη αξία φαίνεται...

A different version could be:

• Φαίνεται κάθε φορά που μιλάω πιο άνετα ότι αυτό το μάθημα έχει μεγάλη αξία.

That is still grammatical, but the rhythm and focus are slightly different.

The original version is especially natural if the speaker wants to foreground the fact that this lesson has great value.