Na ovom kolegiju profesorica traži da na seminaru pažljivo bilježimo nova pitanja.

In Croatian, na is very often used with courses, classes, lectures, seminars, and similar academic settings.

So:

• na ovom kolegiju = in/on this course
• na seminaru = in/at the seminar

This is just the normal Croatian pattern. English and Croatian do not always match preposition-for-preposition.

Also, na takes:

• the locative when there is no movement: na kolegiju, na seminaru
• the accusative when there is movement toward something: na seminar, na kolegij in some contexts

So here, because the sentence describes where something happens, Croatian uses na + locative.

Ovom kolegiju is in the locative singular.

Why?

• kolegij is a masculine noun
• after na in this meaning, Croatian uses the locative
• the pronoun/adjective ovaj has to agree with the noun in case, gender, and number

So:

• nominative: ovaj kolegij
• locative: na ovom kolegiju

That is why you see ovom, not ovaj.

Kolegij usually means a university course or module.

So na ovom kolegiju means something like:

• in this course
• in this class
• on this module

It is a common academic word in Croatian, especially in higher education.

Yes. Profesorica is the feminine form, meaning a female professor/teacher.

• profesor = male professor/teacher
• profesorica = female professor/teacher

Croatian regularly marks gender in nouns like this, so the form tells you that the professor is a woman.

After verbs like tražiti when the meaning is to require / ask that someone do something, Croatian commonly uses da + present tense.

So:

• profesorica traži da bilježimo = the professor requires that we take note / note down

This is a very normal Croatian structure. English might use:

• requires us to note down
• asks that we note down
• wants us to note down

Croatian often prefers da + present in this type of sentence.

Also, Croatian does not have a separate subjunctive form like some other languages do. This da + present construction often does that job.

Because the subordinate clause has an implied subject we.

So the meaning is:

• The professor requires that we carefully note down new questions during the seminar.

The speaker is apparently including themselves among the students, so bilježimo is first person plural.

Compare:

• da bilježimo = that we note down
• da bilježite = that you all note down
• da bilježe = that they note down

Croatian often leaves the subject pronoun unstated because the verb ending already shows the person and number.

Bilježiti means to note down, to make a note of, to record, or sometimes to take note of.

In this sentence, pažljivo bilježimo nova pitanja means something like:

• we carefully note down new questions
• we carefully make a note of new questions

It is a very natural verb in academic contexts.

Also, bilježiti is imperfective, so it suggests an ongoing, repeated, or habitual activity rather than a single completed act.

Because pažljivo is an adverb, and it modifies the verb bilježimo.

• pažljivo = carefully
• pažljivi = careful (adjective, describing people/things)

So:

• pažljivo bilježimo = we note down carefully
• pažljivi studenti = careful students

Since the sentence is describing how we note things down, Croatian uses the adverb pažljivo.

Nova pitanja is the accusative plural, because it is the direct object of bilježimo.

We are noting down what?
nova pitanja = new questions

Here is the important point:

• pitanje is a neuter noun
• in the plural, neuter nouns have the same form in the nominative and accusative

So:

• nominative plural: nova pitanja
• accusative plural: nova pitanja

That is why the form looks the same.

Not always exactly.

In Croatian academic language, seminar can mean:

• a seminar class
• a discussion section
• a small-group class
• sometimes even a student presentation or seminar paper, depending on context

In this sentence, na seminaru most naturally means:

• during the seminar class
• in the seminar session

So it may be narrower or more course-specific than English seminar sometimes is.

Yes, the word order can be changed, because Croatian has relatively flexible word order.

This sentence:

Na ovom kolegiju profesorica traži da na seminaru pažljivo bilježimo nova pitanja.

puts Na ovom kolegiju first, which sets the context: in this course.

Other possible orders are also grammatical, for example:

• Profesorica na ovom kolegiju traži da na seminaru pažljivo bilježimo nova pitanja.
• Profesorica traži da na ovom kolegiju na seminaru pažljivo bilježimo nova pitanja.
  (less natural in many contexts)

The original version sounds natural because it starts with the course context, then gives the main action, then the requirement.

Here traži does not mean looks for.

The verb tražiti can mean different things depending on context, including:

• to look for
• to ask for
• to demand
• to require

In this sentence, profesorica traži da... means:

• the professor requires that...
• the professor expects that...
• the professor asks that...

So the meaning is about a requirement or expectation, not searching for something.