This is the 12131st most frequent Turkish word.
göstermeleri
"Their showing" or "the act of them showing."
The word 'göstermelerini' in this context is the accusative form of the verb 'göstermek,' used here to express 'to show' where the subject performing the action (they showing) is requested by others.
Bize doğru yola gidebilmek için haritayı göstermelerini rica ettik.
We asked them to show us the map to choose the correct path.
Here, 'göstermelerini' conveys the idea of 'showing' in the sense of demonstrating or displaying, initiated or allowed by others.
Yeteneklerini herkese göstermelerini sağlamak için onlara fırsat verdik.
We gave them the opportunity to show their abilities to everyone.
In this case, 'göstermelerini' is used to indicate an indirect request or suggestion made through a third party, focusing on the act of showing.