Min lærer viste os en anden metode, og den har nu høj prioritet i min egen proces med at lære dansk.

In Danish, when you use a possessive like min (my), the noun stays in its basic form:

• min lærer = my teacher
• læreren = the teacher

You do not combine min with the definite ending -en. So Min læreren is incorrect.

Viste is the past tense of vise, which means to show.

• vise = to show
• viser = shows / is showing
• viste = showed
• har vist = has shown

So Min lærer viste os... means My teacher showed us...

Because os is the indirect object here, meaning us.

In viste os en anden metode:

• viste = showed
• os = us
• en anden metode = another method

So the structure is:

showed + us + another method

This is very similar to English: My teacher showed us another method.

Because metode is a common-gender singular noun, and in Danish an indefinite singular noun usually needs an article:

• en metode = a method
• en anden metode = another method

Anden means other / another, but it does not replace the article here. So en anden metode is the normal form.

Den refers back to en anden metode.

Since metode is a common-gender noun, you use den (it/that) to refer to it.

So:

• en anden metode = another method
• den = it / that method

This avoids repeating metode.

In Danish, some abstract nouns are often used without an article, especially in expressions like:

• have betydning = have importance
• have værdi = have value
• have høj prioritet = have high priority

So har høj prioritet sounds natural and idiomatic. Adding en is usually less natural here.

Both are possible, but they mean slightly different things in emphasis.

The sentence has:

• og den har nu høj prioritet...

This is normal main-clause word order:

• subject = den
• verb = har
• adverb = nu

If you say:

• og nu har den høj prioritet...

then nu is placed first for emphasis, and Danish then uses inversion:

• nu
  • har
    • den

Both are grammatical. The original version simply keeps the subject first.

Egen means own.

So:

• min proces = my process
• min egen proces = my own process

It adds emphasis, just like English own. It suggests something personal or individual.

After med in this kind of expression, Danish often uses at + infinitive.

So:

• processen med at lære dansk = the process of learning Danish

This is a very common pattern:

• problemer med at forstå = problems understanding
• tid til at læse = time to read
• en metode til at lære = a method for learning

In this sentence, med at lære dansk explains what kind of process it is.

In Danish, languages and nationalities are normally written with a lowercase letter.

So:

• dansk = Danish
• engelsk = English
• tysk = German

This is different from English, where Danish and English are capitalized.

Yes. Lære means to learn, and the language name comes directly after it:

• lære dansk = learn Danish
• lære engelsk = learn English

This is very natural Danish.

Because i is the natural preposition here.

I min egen proces means in my own process and is used metaphorically for something happening within your learning journey or method.

Danish often uses i with abstract areas, phases, or processes:

• i mit arbejde = in my work
• i processen = in the process
• i min læring = in my learning

Using på here would sound unnatural.

Yes, it could, but it would sound more repetitive.

Compare:

• ... og den har nu høj prioritet...
• ... og metoden har nu høj prioritet...

Both are correct. Danish often prefers a pronoun like den when the reference is clear, just as English often says it instead of repeating the method.

Usually now is the best basic translation, but in context it can also suggest now / at this point / by now.

So den har nu høj prioritet means something like:

• it now has high priority
• it has high priority now
• it has by now become a high priority

The exact nuance depends on context, but the core idea is that this priority is true at the present stage.