This is the 2480th most frequent Turkish word.
koşullarının
"Koşullarının" means "of its/their conditions" in English.
In this sentence, 'koşullarının' (the conditions of) indicates possession, showing that the conditions belong to 'anlaşmanın' (the agreement).
Anlaşmanın koşullarının detaylarına dikkatlice bakmalıyız.
We must carefully look at the details of the agreement's conditions.
Here, 'koşullarının' (the conditions of) connects to 'eğitim' (education), indicating that the conditions being discussed pertain to education.
Eğitim koşullarının iyileştirilmesi gerektiğini düşünüyorum.
I think the improvement of the conditions of education is necessary.
In this sentence, 'koşullarının' specifies that the standards pertain to 'çalışma koşulları' (working conditions), showing the word's role in attributing possession and relationship.