that page is mistaken. all the symbol names listed there are from amsfonts.
the original implementation of amsmath (then called amstex.sty after the non-latex
original) loaded amsfonts, but amsmath does not. from the file amsmath.dtx:
% A \latex/ package named \pkg{amstex} was created in 1988--1989 by
% adapting \fn{amstex.tex} for use within \latex/. The \pkg{amsmath}
% package is the successor of the \pkg{amstex} package. It was
% substantially overhauled to integrate it with \latex/2e, which
% arrived on the scene in 1994. It provides more or less the same
% features, but there are quite a few organizational differences as
% well as some new features and bug fixes. For example, the
% \pkg{amstex} package automatically loaded the \pkg{amsfonts}
% package, but the \pkg{amsmath} package does not. At the present
% time (November 1999) user-level documentation of the commands
% provided here is found in the AMSmath Users' Guide,
% \fn{amsldoc.tex}.
so it's necessary to \usepackage{amsfonts} to get access to \checkmark.
most of the rest of the cited page specifies amssymb, which is correct; amssymb
loads amsfonts automatically, so it's not necessary to specify both if the
additional symbols are needed.
do you know who is responsible for that page? it would be polite to let them
know it should be corrected/updated.
\usepackage{amssymb}and Welcome to TeX.sx! – hpesoj626 Feb 28 '13 at 21:55amsmathis useful, but the symbols are loaded byamssymb. That page is wrong. – egreg Feb 28 '13 at 21:56