I have one row filled with dates in the format MM/dd/yyyy (with header row), such as:
DATES 5/12/2015 4/12/2012 5/7/2015 5/7/2014
I would like
In Google sheets you can use
=COUNT(FILTER(A:A,MONTH(A:A) = MONTH(TODAY()),YEAR(A:A)=YEAR(TODAY())))
Where A:A is the column with your dates