doc: change Node.js style to error-first style

doc/api/errors.md

@@ -128,35 +128,36 @@ they are thrown *after* the calling code has already exited.
 Developers must refer to the documentation for each method to determine
 exactly how errors raised by those methods are propagated.
 
-### Node.js style callbacks
+### Error-first callbacks
 
 <!--type=misc-->
 
 Most asynchronous methods exposed by the Node.js core API follow an idiomatic
-pattern  referred to as a "Node.js style callback". With this pattern, a
-callback function is passed to the method as an argument. When the operation
-either completes or an error is raised, the callback function is called with
-the Error object (if any) passed as the first argument. If no error was raised,
-the first argument will be passed as `null`.
+pattern  referred to as an _error-first callback_ (sometimes referred to as
+a _Node.js style callback_). With this pattern, a callback function is passed
+to the method as an argument. When the operation either completes or an error
+is raised, the callback function is called with
+the Error object (if any) passed as the first argument. If no error was
+raised, the first argument will be passed as `null`.
 
 ```js
 const fs = require('fs');
 
-function nodeStyleCallback(err, data) {
+function errorFirstCallback(err, data) {
   if (err) {
     console.error('There was an error', err);
     return;
   }
   console.log(data);
 }
 
-fs.readFile('/some/file/that/does-not-exist', nodeStyleCallback);
-fs.readFile('/some/file/that/does-exist', nodeStyleCallback);
+fs.readFile('/some/file/that/does-not-exist', errorFirstCallback);
+fs.readFile('/some/file/that/does-exist', errorFirstCallback);
 ```
 
 The JavaScript `try / catch` mechanism **cannot** be used to intercept errors
 generated by asynchronous APIs.  A common mistake for beginners is to try to
-use `throw` inside a Node.js style callback:
+use `throw` inside an error-first callback:
 
 ```js
 // THIS WILL NOT WORK:

doc/api/util.md

@@ -21,9 +21,10 @@ added: v8.2.0
 * Returns: {Function} a callback style function
 
 Takes an `async` function (or a function that returns a Promise) and returns a
-function following the Node.js error first callback style. In the callback, the
-first argument will be the rejection reason (or `null` if the Promise resolved),
-and the second argument will be the resolved value.
+function following the error-first callback style, i.e. taking
+a `(err, value) => ...` callback as the last argument. In the callback, the
+first argument will be the rejection reason (or `null` if the Promise
+resolved), and the second argument will be the resolved value.
 
 For example:
 
@@ -517,8 +518,8 @@ added: v8.0.0
 * `original` {Function}
 * Returns: {Function}
 
-Takes a function following the common Node.js callback style, i.e. taking a
-`(err, value) => ...` callback as the last argument, and returns a version
+Takes a function following the common error-first callback style, i.e. taking
+a `(err, value) => ...` callback as the last argument, and returns a version
 that returns promises.
 
 For example:
@@ -554,9 +555,9 @@ will return its value, see [Custom promisified functions][].
 
 `promisify()` assumes that `original` is a function taking a callback as its
 final argument in all cases. If `original` is not a function, `promisify()`
-will throw an error. If `original` is a function but its last argument is not a
-Node.js style callback, it will still be passed a Node.js style callback
-as its last argument.
+will throw an error. If `original` is a function but its last argument is not
+an error-first callback, it will still be passed an error-first
+callback as its last argument.
 
 ### Custom promisified functions