A tanár kedves a diák iránt.

Because Hungarian usually leaves out van = is in the 3rd person singular present tense when the predicate is a noun or an adjective.

So:

• A tanár kedves. = The teacher is kind.
• not normally A tanár kedves van.

But in other persons, the verb appears:

• Kedves vagyok. = I am kind.
• Kedves vagy. = You are kind.

So A tanár kedves a diák iránt. is completely normal without an explicit is.

A is the Hungarian definite article, meaning the.

It appears before both nouns because both are definite:

• a tanár = the teacher
• a diák = the student

Hungarian uses:

• a before a consonant
• az before a vowel

So you get:

• a tanár
• a diák
• but az ember

Iránt is a postposition. That means it works a bit like an English preposition, but it comes after the noun phrase instead of before it.

So:

• a diák iránt = toward the student / for the student

It is often used when talking about a feeling, attitude, or orientation directed at someone or something, such as:

• szeretet valaki iránt = love for someone
• tisztelet valaki iránt = respect for someone
• érdeklődés valami iránt = interest in something

Here it shows the person toward whom the teacher’s kindness is directed.

Because a diák is not a direct object here.

The sentence does not mean that the teacher is doing something to the student in a direct-object sense. Instead, it describes an attitude or relation: the teacher is kind toward the student.

So Hungarian uses the postposition iránt, not the accusative:

• a diák iránt = toward the student
• not a diákot

The noun before a postposition usually stays in its basic form, and the postposition comes after the whole noun phrase.

Yes, very often learners will also meet kedves valakihez.

For example:

• A tanár kedves a diákhoz.

This is also a natural way to say The teacher is kind to the student.

A rough difference is:

• valakihez kedves often sounds more everyday and behavioral
• valaki iránt kedves can sound a bit more formal or more focused on the directed attitude

The exact nuance can depend on context, but it is useful to know that both patterns exist.

Hungarian adjectives can appear in two different roles:

1. Attributive: directly before a noun

   • a kedves tanár = the kind teacher

2. Predicative: describing the subject in a full sentence

   • A tanár kedves. = The teacher is kind.

In your sentence, kedves is the predicate adjective, so it comes after the subject:

• A tanár kedves a diák iránt.

So this does not mean the kind teacher. It means the teacher is kind.

Hungarian does not have grammatical gender like English he/she distinctions built into nouns and adjectives.

So:

• tanár can mean a male or female teacher
• diák can mean a male or female student
• kedves does not change for masculine or feminine

However, predicate adjectives can show number:

• A tanár kedves. = The teacher is kind.
• A tanárok kedvesek. = The teachers are kind.

So there is no gender agreement, but number can matter in predicates.

Hungarian word order is fairly flexible, but changes usually affect emphasis and information structure.

The version you have:

• A tanár kedves a diák iránt.

is a neutral, natural way to say it.

Another possible order is:

• A tanár a diák iránt kedves.

This can place a little more emphasis on toward the student.

So the sentence parts can sometimes move around, but the choice is not random. Hungarian word order often reflects what is being highlighted.

No. Hungarian nouns generally do not show grammatical gender.

So:

• tanár = teacher, male or female
• diák = student, male or female

The sentence itself does not tell you the gender of either person unless extra words are added or the broader context makes it clear.

With a tanár and a diák, it normally refers to specific, identifiable people: the teacher and the student.

Depending on context, that could mean:

• people already mentioned
• people obvious in the situation
• people understood from shared knowledge

If Hungarian wanted to speak more generally, it might use different wording or omit articles in a different structure, depending on the exact meaning.

So as written, the sentence most naturally refers to a particular teacher and a particular student.