diff --git a/doc/racket-mode.texi b/doc/racket-mode.texi
index ea402288..f69ebf58 100644
--- a/doc/racket-mode.texi
+++ b/doc/racket-mode.texi
@@ -1044,11 +1044,13 @@ To insert Unicode symbols generally, see @ref{racket-input-mode}.
 
 @kbd{M-x}  @code{racket-insert-symbol}
 
-A command alternative to the ``Racket'' input method.
+Insert a symbol from @ref{racket-input-translations}.
 
-Presents a @code{completing-read} UI to choose and insert from
-@ref{racket-input-translations}. The symbols that would be inserted
-are shown as annotations -- serves as a preview unlike what is
+A command alternative to the ``Racket'' input method activated by
+@ref{racket-input-mode}.
+
+Presents a @code{completing-read} UI, in which the symbols that would
+be inserted are shown as annotations -- a preview unlike what is
 currently provided by the Emacs UI for input method.
 
 @node racket-fold-all-tests
@@ -1412,18 +1414,15 @@ repeatedly.
 
 A minor mode to enable the ``Racket'' input method.
 
-The Racket input method lets you easily use various Unicode
-symbols that might be useful when writing Racket code.
-
-When the Racket input method is active, and @ref{racket-input-prefix}
-is the default ``\'', you can for example type ``\All'' and it
-is immediately replaced with ``∀''.
+The Racket input method lets you type @ref{racket-input-prefix},
+followed by a key sequence from @ref{racket-input-translations},
+directly in a buffer, to insert a symbol.
 
-See @ref{racket-input-translations} for the full list of translations,
-which is also used by the @ref{racket-insert-symbol} command.
+For example when @ref{racket-input-prefix} is the default ``\'', you
+can type ``\All'' and it is immediately replaced with ``∀''.
 
-To automatically enable the Racket input method for all new
-buffers, put the following in your Emacs init file:
+To enable @ref{racket-input-mode} (and the Racket input method) for
+all new buffers, put the following in your Emacs init file:
 
 @lisp
     (dolist (hook '(racket-mode-hook
@@ -1432,11 +1431,16 @@ buffers, put the following in your Emacs init file:
       (add-hook hook #'racket-input-mode))
 @end lisp
 
-You may use the standard Emacs key C-\ to toggle the current
-input method.
+Tip: You may use the standard Emacs key C-\ to toggle the
+current input method.
+
+Tip: If you don’t like the highlighting of partially matching
+tokens you can disable that using @code{input-method-highlight-flag}.
 
-If you don’t like the highlighting of partially matching tokens you
-can turn it off by setting @code{input-method-highlight-flag} to nil.
+See the Emacs manual for other information about input methods.
+
+Tip: Another way to use @ref{racket-input-translations} is by using a
+command: @ref{racket-insert-symbol}.
 
 This is a minor mode.  If called interactively, toggle the
 @code{Racket-Input mode} mode.  If the prefix argument is positive,
@@ -3755,9 +3759,15 @@ Predefined choices include @ref{racket-shell}, @ref{racket-term},
 @node racket-input-prefix
 @subsection racket-input-prefix
 
-A prefix for the Racket input method.
+A prefix used by the ``Racket'' input method.
+
+This string is prepended to the key sequence strings in
+@ref{racket-input-translations}, when setting up the input method.
 
-The prefix is applied to the @ref{racket-input-translations}.
+Using some non-nil, non-blank prefix avoids conflicts between key
+sequences and portions of normal words. For example ``oint''
+would insert ``∮'' while you're typing ``point'' -- but not
+``\oint''.
 
 If you change this setting manually with @code{setq} (instead of using
 the customization buffer or @code{setopt}) you need to call
@@ -3770,8 +3780,9 @@ A list of translations.
 
 Each element is (KEY-SEQUENCE-STRING TRANSLATION-STRING).
 
-Used by the ``Racket'' input method as well as the
-@ref{racket-insert-symbol} command.
+Used by the ``Racket'' input method activated by
+@ref{racket-input-mode}, as well as by the @ref{racket-insert-symbol}
+command.
 
 If you change this setting manually with @code{setq} (instead of using
 the customization buffer or @code{setopt}) you need to call
diff --git a/racket-input.el b/racket-input.el
index 7b2dee28..1e86f8a3 100644
--- a/racket-input.el
+++ b/racket-input.el
@@ -16,9 +16,15 @@
   :group 'racket)
 
 (defcustom racket-input-prefix "\\"
-  "A prefix for the Racket input method.
+  "A prefix used by the \"Racket\" input method.
 
-The prefix is applied to the `racket-input-translations'.
+This string is prepended to the key sequence strings in
+`racket-input-translations', when setting up the input method.
+
+Using some non-nil, non-blank prefix avoids conflicts between key
+sequences and portions of normal words. For example \"oint\"
+would insert \"∮\" while you're typing \"point\" -- but not
+\"\\oint\".
 
 If you change this setting manually with `setq' (instead of using
 the customization buffer or `setopt') you need to call
@@ -62,7 +68,7 @@ the customization buffer or `setopt') you need to call
     ("prod"           "∏")
     ("coprod"         "∐")
     ("integrate"      "∫")
-    ("Oint"           "∮")
+    ("oint"           "∮")
     ("vee"            "∨")
     ("wedge"          "∧")
     ("follows"        "∘")
@@ -208,8 +214,9 @@ the customization buffer or `setopt') you need to call
 
 Each element is (KEY-SEQUENCE-STRING TRANSLATION-STRING).
 
-Used by the \"Racket\" input method as well as the
-`racket-insert-symbol' command.
+Used by the \"Racket\" input method activated by
+`racket-input-mode', as well as by the `racket-insert-symbol'
+command.
 
 If you change this setting manually with `setq' (instead of using
 the customization buffer or `setopt') you need to call
@@ -260,18 +267,15 @@ variables."
 (define-minor-mode racket-input-mode
   "A minor mode to enable the \"Racket\" input method.
 
-The Racket input method lets you easily use various Unicode
-symbols that might be useful when writing Racket code.
-
-When the Racket input method is active, and `racket-input-prefix'
-is the default \"\\\", you can for example type \"\\All\" and it
-is immediately replaced with \"∀\".
+The Racket input method lets you type `racket-input-prefix',
+followed by a key sequence from `racket-input-translations',
+directly in a buffer, to insert a symbol.
 
-See `racket-input-translations' for the full list of translations,
-which is also used by the `racket-insert-symbol' command.
+For example when `racket-input-prefix' is the default \"\\\", you
+can type \"\\All\" and it is immediately replaced with \"∀\".
 
-To automatically enable the Racket input method for all new
-buffers, put the following in your Emacs init file:
+To enable `racket-input-mode' (and the Racket input method) for
+all new buffers, put the following in your Emacs init file:
 
 #+BEGIN_SRC elisp
     (dolist (hook \\='(racket-mode-hook
@@ -280,11 +284,16 @@ buffers, put the following in your Emacs init file:
       (add-hook hook #\\='racket-input-mode))
 #+END_SRC
 
-You may use the standard Emacs key C-\\ to toggle the current
-input method.
+Tip: You may use the standard Emacs key C-\\ to toggle the
+current input method.
+
+Tip: If you don’t like the highlighting of partially matching
+tokens you can disable that using `input-method-highlight-flag'.
 
-If you don’t like the highlighting of partially matching tokens you
-can turn it off by setting `input-method-highlight-flag' to nil."
+See the Emacs manual for other information about input methods.
+
+Tip: Another way to use `racket-input-translations' is by using a
+command: `racket-insert-symbol'."
   :lighter ""
   (if racket-input-mode
       (set-input-method "Racket")
@@ -299,11 +308,13 @@ can turn it off by setting `input-method-highlight-flag' to nil."
 ;;; Command flavor, using completing-read with annotations
 
 (defun racket-insert-symbol ()
-  "A command alternative to the \"Racket\" input method.
+  "Insert a symbol from `racket-input-translations'.
+
+A command alternative to the \"Racket\" input method activated by
+`racket-input-mode'.
 
-Presents a `completing-read' UI to choose and insert from
-`racket-input-translations'. The symbols that would be inserted
-are shown as annotations -- serves as a preview unlike what is
+Presents a `completing-read' UI, in which the symbols that would
+be inserted are shown as annotations -- a preview unlike what is
 currently provided by the Emacs UI for input method."
   (interactive)
   (let* ((translations racket-input-translations)