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
You can use COUNTIFS like this
COUNTIFS
=COUNTIFS(A:A,">="&EOMONTH(TODAY(),-1)+1,A:A,"<"&EOMONTH(TODAY(),0)+1)
That works equally well in Excel or google sheets, for the whole column and will ignore the header row