Η καθηγήτρια γράφει μια άλλη λύση στο τετράδιό μας, γιατί η πρώτη ήταν δύσκολη.

The professor (female) writes another solution in our notebook because the first one was difficult.

Breakdown of Η καθηγήτρια γράφει μια άλλη λύση στο τετράδιό μας, γιατί η πρώτη ήταν δύσκολη.

• είμαι: to be
• γιατί: because
• σε: in
• γράφω: to write

Questions & Answers about Η καθηγήτρια γράφει μια άλλη λύση στο τετράδιό μας, γιατί η πρώτη ήταν δύσκολη.

In Η καθηγήτρια, what does the article η tell me, and why is it feminine if teacher can be male or female?

Η is the feminine singular definite article in the nominative case. It tells you:

• the noun is feminine
• singular
• and is the subject of the sentence

Καθηγήτρια is the specifically female form of teacher, professor (the male form is καθηγητής).

So:

• η καθηγήτρια = the (female) teacher / professor
• ο καθηγητής = the (male) teacher / professor

Greek usually marks natural gender on nouns for people, so if we know it is a woman, we use the feminine form and the feminine article η.

Why is γράφει used here for “is writing”? Why not some form like “είναι γράφοντας”?

Modern Greek does not normally use a separate continuous form like English “is writing”.

The present tense of the verb (here γράφει) usually covers both:

• simple present: she writes
• present continuous: she is writing

So:

• Η καθηγήτρια γράφει μια άλλη λύση…
  can mean either The teacher writes another solution… or The teacher is writing another solution…, depending on context.

Forms like είναι γράφοντας are not the normal way to express the continuous aspect; they sound unnatural in everyday Greek.

What exactly does μια do in ? Is it the number or an article?