on
The German word 'an' is a preposition that is often translated as 'on' in English. It is used to indicate a location or position on a surface or object. For example, 'Das Buch liegt an dem Tisch' means 'The book is on the table'. It can also be used to indicate a point in time, such as 'an Weihnachten' meaning 'at Christmas'.
I sit at the table.
In German, 'an' can be used to define the location of an object or person relative to another object. In this sentence, it indicates the position of the speaker in relation to the table.
She is writing a book.
The preposition 'an' is often used with the dative case to show that an action is in progress. The phrase 'an einem Buch schreiben' literally translates into 'writing on a book', but it is the equivalent of the English 'writing a book'.
He thinks of his childhood.
'An' is also used to indicate thinking about or recalling something. So 'an seine Kindheit denken' means to think about his childhood.