The name of a checkbox should be an array variable and since you used
<INPUT TYPE="checkbox" NAME="article" VALUE="5 Reasons you need a realtor">5 Reasons You Need a Realtor<BR>
<INPUT TYPE="checkbox" NAME="article" VALUE="7 Reasons to Own Your Own Home">7 Reasons to Own Your Own Home<BR>
<INPUT TYPE="checkbox" NAME="article" VALUE="10 Things a Lender Needs from You">10 Things a Lender Needs from You<BR>
that is what it will do. Theyall have the same name which is correct but they are not as an array so to fix it you can either make it an indexed array by doing this
<INPUT TYPE="checkbox" NAME="article[]" VALUE="5 Reasons you need a realtor">5 Reasons You Need a Realtor<BR>
<INPUT TYPE="checkbox" NAME="article[]" VALUE="7 Reasons to Own Your Own [code=html]Home">7 Reasons to Own Your Own Home<BR>
<INPUT TYPE="checkbox" NAME="article[]" VALUE="10 Things a Lender Needs from You">10 Things a Lender Needs from You<BR>
or to make it easier to know what has been checked without looping numerically you can use an associative array
<INPUT TYPE="checkbox" NAME="article[5reasons]" VALUE="5 Reasons you need a realtor">5 Reasons You Need a Realtor<BR>
<INPUT TYPE="checkbox" NAME="article[7reasons]" VALUE="7 Reasons to Own Your Own Home">7 Reasons to Own Your Own Home<BR>
<INPUT TYPE="checkbox" NAME="article[10things]" VALUE="10 Things a Lender Needs from You">10 Things a Lender Needs from You<BR>
To see the value of checkbox for 5 Reasons You Need a Realtor you could check $POST['article][5reasons] and if checked it would be 5 Reasons you need a realtor otherwise it would be blank. or if it were a numeric indexed array the $POST['article'][0] value would be 5 Reasons you need a realtor if checked or blank if not. also if just that box and the last were checked then $_POST['article'][1] would be Tips for Packing Like a Pro.