This time signature is called the three four time signature. It indicates that there are three beats in each bar. Three four time is also known as waltz time. There are three quarter notes in one bar of ^ time.
A dot written after a note extends its value by half.
A dot after a half note means that you hold it for three beats.
One dotted half note makes one bar of music in ^ time.
This song has dotted half notes in the left hand part. Once again, the counting numbers refer to the melody (right hand part). The left hand part is the accompaniment to the melody.