diff --git a/texmathp.el b/texmathp.el
--- a/texmathp.el
+++ b/texmathp.el
@@ -117,7 +117,7 @@
     ("\\vcenter"     arg-off)
 
     ;; Standard LaTeX
-    ("equation"      env-on)      ("equation*"     env-on)
+    ("equation"      env-on)
     ("eqnarray"      env-on)      ("eqnarray*"     env-on)
     ("math"          env-on)
     ("displaymath"   env-on)
@@ -132,6 +132,7 @@
     ("\\ensuremath"  arg-on)
 
     ;; AMS-LaTeX
+    ("equation*"     env-on)
     ("align"         env-on)      ("align*"        env-on)
     ("gather"        env-on)      ("gather*"       env-on)
     ("multline"      env-on)      ("multline*"     env-on)
@@ -230,7 +231,7 @@
   "After a call to `texmathp' this variable shows why math-mode is on or off.
 The value is a cons cell (MATCH . POSITION).
 MATCH is a string like a car of an entry in `texmathp-tex-commands', e.q.
-\"equation\" or \"\\ensuremath\" or \"\\[\" or \"$\".
+\"equation\" or \"\\ensuremath\" or \"\\=\\[\" or \"$\".
 POSITION is the buffer position of the match.  If there was no match,
 it points to the limit used for searches, usually two paragraphs up.")