diff --git a/Doc/c-api/module.rst b/Doc/c-api/module.rst
index 431151b841ebb6..f85d24647cd742 100644
--- a/Doc/c-api/module.rst
+++ b/Doc/c-api/module.rst
@@ -426,10 +426,10 @@ To retrieve the state from a given module, use the following functions:
    module state.
 
 
-.. c:function:: int PyModule_GetStateSize(PyObject *, Py_ssize_t *result)
+.. c:function:: int PyModule_GetStateSize(PyObject *module, Py_ssize_t *result)
 
-   Set *\*result* to the size of the module's state, as specified using
-   :c:macro:`Py_mod_state_size` (or :c:member:`PyModuleDef.m_size`),
+   Set *\*result* to the size of the state for the module *module*, as specified
+   using :c:macro:`Py_mod_state_size` (or :c:member:`PyModuleDef.m_size`),
    and return 0.
 
    On error, set *\*result* to -1, and return -1 with an exception set.
@@ -597,7 +597,7 @@ A module's token -- and the *your_token* value to use in the above code -- is:
 
 .. c:function:: int PyModule_GetToken(PyObject *module, void** result)
 
-   Set *\*result* to the module's token and return 0.
+   Set *\*result* to the module token for the module *module* and return 0.
 
    On error, set *\*result* to NULL, and return -1 with an exception set.
 
@@ -645,7 +645,7 @@ rather than from an extension's :ref:`export hook <extension-export-hook>`.
 
 .. c:function:: int PyModule_Exec(PyObject *module)
 
-   Execute the :c:data:`Py_mod_exec` slot(s) of the given *module*.
+   Execute the :c:data:`Py_mod_exec` slot(s) of the given module, *module*.
 
    On success, return 0.
    On error, return -1 with an exception set.
diff --git a/Include/moduleobject.h b/Include/moduleobject.h
index e83bc395aa4618..d1dde7982ad50d 100644
--- a/Include/moduleobject.h
+++ b/Include/moduleobject.h
@@ -118,11 +118,11 @@ PyAPI_FUNC(int) PyUnstable_Module_SetGIL(PyObject *module, void *gil);
 #endif
 
 #if !defined(Py_LIMITED_API) || Py_LIMITED_API+0 >= _Py_PACK_VERSION(3, 15)
-PyAPI_FUNC(PyObject *) PyModule_FromSlotsAndSpec(const PyModuleDef_Slot *,
+PyAPI_FUNC(PyObject *) PyModule_FromSlotsAndSpec(const PyModuleDef_Slot *slots,
                                                  PyObject *spec);
-PyAPI_FUNC(int) PyModule_Exec(PyObject *mod);
-PyAPI_FUNC(int) PyModule_GetStateSize(PyObject *mod, Py_ssize_t *result);
-PyAPI_FUNC(int) PyModule_GetToken(PyObject *, void **result);
+PyAPI_FUNC(int) PyModule_Exec(PyObject *module);
+PyAPI_FUNC(int) PyModule_GetStateSize(PyObject *module, Py_ssize_t *result);
+PyAPI_FUNC(int) PyModule_GetToken(PyObject *module, void **result);
 #endif
 
 #ifndef _Py_OPAQUE_PYOBJECT