diff --git a/packages/react/src/ReactChildren.js b/packages/react/src/ReactChildren.js
index 6e65fd8ddcde9..d2fce3f1ee3be 100644
--- a/packages/react/src/ReactChildren.js
+++ b/packages/react/src/ReactChildren.js
@@ -50,58 +50,29 @@ function escapeUserProvidedKey(text) {
   return ('' + text).replace(userProvidedKeyEscapeRegex, '$&/');
 }
 
-const POOL_SIZE = 10;
-const traverseContextPool = [];
-function getPooledTraverseContext(
-  mapResult,
-  keyPrefix,
-  mapFunction,
-  mapContext,
-) {
-  if (traverseContextPool.length) {
-    const traverseContext = traverseContextPool.pop();
-    traverseContext.result = mapResult;
-    traverseContext.keyPrefix = keyPrefix;
-    traverseContext.func = mapFunction;
-    traverseContext.context = mapContext;
-    traverseContext.count = 0;
-    return traverseContext;
-  } else {
-    return {
-      result: mapResult,
-      keyPrefix: keyPrefix,
-      func: mapFunction,
-      context: mapContext,
-      count: 0,
-    };
-  }
-}
-
-function releaseTraverseContext(traverseContext) {
-  traverseContext.result = null;
-  traverseContext.keyPrefix = null;
-  traverseContext.func = null;
-  traverseContext.context = null;
-  traverseContext.count = 0;
-  if (traverseContextPool.length < POOL_SIZE) {
-    traverseContextPool.push(traverseContext);
+/**
+ * Generate a key string that identifies a component within a set.
+ *
+ * @param {*} component A component that could contain a manual key.
+ * @param {number} index Index that is used if a manual key is not provided.
+ * @return {string}
+ */
+function getComponentKey(component, index) {
+  // Do some typechecking here since we call this blindly. We want to ensure
+  // that we don't block potential future ES APIs.
+  if (
+    typeof component === 'object' &&
+    component !== null &&
+    component.key != null
+  ) {
+    // Explicit key
+    return escape(component.key);
   }
+  // Implicit key determined by the index in the set
+  return index.toString(36);
 }
 
-/**
- * @param {?*} children Children tree container.
- * @param {!string} nameSoFar Name of the key path so far.
- * @param {!function} callback Callback to invoke with each child found.
- * @param {?*} traverseContext Used to pass information throughout the traversal
- * process.
- * @return {!number} The number of children in this subtree.
- */
-function traverseAllChildrenImpl(
-  children,
-  nameSoFar,
-  callback,
-  traverseContext,
-) {
+function mapIntoArray(children, array, escapedPrefix, nameSoFar, callback) {
   const type = typeof children;
 
   if (type === 'undefined' || type === 'boolean') {
@@ -129,13 +100,33 @@ function traverseAllChildrenImpl(
   }
 
   if (invokeCallback) {
-    callback(
-      traverseContext,
-      children,
-      // If it's the only child, treat the name as if it was wrapped in an array
-      // so that it's consistent if the number of children grows.
-      nameSoFar === '' ? SEPARATOR + getComponentKey(children, 0) : nameSoFar,
-    );
+    const child = children;
+    let mappedChild = callback(child);
+    // If it's the only child, treat the name as if it was wrapped in an array
+    // so that it's consistent if the number of children grows:
+    let childKey =
+      nameSoFar === '' ? SEPARATOR + getComponentKey(child, 0) : nameSoFar;
+    if (Array.isArray(mappedChild)) {
+      let escapedChildKey = '';
+      if (childKey != null) {
+        escapedChildKey = escapeUserProvidedKey(childKey) + '/';
+      }
+      mapIntoArray(mappedChild, array, escapedChildKey, c => c);
+    } else if (mappedChild != null) {
+      if (isValidElement(mappedChild)) {
+        mappedChild = cloneAndReplaceKey(
+          mappedChild,
+          // Keep both the (mapped) and old keys if they differ, just as
+          // traverseAllChildren used to do for objects as children
+          escapedPrefix +
+            (mappedChild.key && (!child || child.key !== mappedChild.key)
+              ? escapeUserProvidedKey(mappedChild.key) + '/'
+              : '') +
+            childKey,
+        );
+      }
+      array.push(mappedChild);
+    }
     return 1;
   }
 
@@ -149,11 +140,12 @@ function traverseAllChildrenImpl(
     for (let i = 0; i < children.length; i++) {
       child = children[i];
       nextName = nextNamePrefix + getComponentKey(child, i);
-      subtreeCount += traverseAllChildrenImpl(
+      subtreeCount += mapIntoArray(
         child,
+        array,
+        escapedPrefix,
         nextName,
         callback,
-        traverseContext,
       );
     }
   } else {
@@ -188,11 +180,12 @@ function traverseAllChildrenImpl(
       while (!(step = iterator.next()).done) {
         child = step.value;
         nextName = nextNamePrefix + getComponentKey(child, ii++);
-        subtreeCount += traverseAllChildrenImpl(
+        subtreeCount += mapIntoArray(
           child,
+          array,
+          escapedPrefix,
           nextName,
           callback,
-          traverseContext,
         );
       }
     } else if (type === 'object') {
@@ -218,121 +211,6 @@ function traverseAllChildrenImpl(
   return subtreeCount;
 }
 
-/**
- * Traverses children that are typically specified as `props.children`, but
- * might also be specified through attributes:
- *
- * - `traverseAllChildren(this.props.children, ...)`
- * - `traverseAllChildren(this.props.leftPanelChildren, ...)`
- *
- * The `traverseContext` is an optional argument that is passed through the
- * entire traversal. It can be used to store accumulations or anything else that
- * the callback might find relevant.
- *
- * @param {?*} children Children tree object.
- * @param {!function} callback To invoke upon traversing each child.
- * @param {?*} traverseContext Context for traversal.
- * @return {!number} The number of children in this subtree.
- */
-function traverseAllChildren(children, callback, traverseContext) {
-  if (children == null) {
-    return 0;
-  }
-
-  return traverseAllChildrenImpl(children, '', callback, traverseContext);
-}
-
-/**
- * Generate a key string that identifies a component within a set.
- *
- * @param {*} component A component that could contain a manual key.
- * @param {number} index Index that is used if a manual key is not provided.
- * @return {string}
- */
-function getComponentKey(component, index) {
-  // Do some typechecking here since we call this blindly. We want to ensure
-  // that we don't block potential future ES APIs.
-  if (
-    typeof component === 'object' &&
-    component !== null &&
-    component.key != null
-  ) {
-    // Explicit key
-    return escape(component.key);
-  }
-  // Implicit key determined by the index in the set
-  return index.toString(36);
-}
-
-function forEachSingleChild(bookKeeping, child, name) {
-  const {func, context} = bookKeeping;
-  func.call(context, child, bookKeeping.count++);
-}
-
-/**
- * Iterates through children that are typically specified as `props.children`.
- *
- * See https://reactjs.org/docs/react-api.html#reactchildrenforeach
- *
- * The provided forEachFunc(child, index) will be called for each
- * leaf child.
- *
- * @param {?*} children Children tree container.
- * @param {function(*, int)} forEachFunc
- * @param {*} forEachContext Context for forEachContext.
- */
-function forEachChildren(children, forEachFunc, forEachContext) {
-  if (children == null) {
-    return children;
-  }
-  const traverseContext = getPooledTraverseContext(
-    null,
-    null,
-    forEachFunc,
-    forEachContext,
-  );
-  traverseAllChildren(children, forEachSingleChild, traverseContext);
-  releaseTraverseContext(traverseContext);
-}
-
-function mapSingleChildIntoContext(bookKeeping, child, childKey) {
-  const {result, keyPrefix, func, context} = bookKeeping;
-
-  let mappedChild = func.call(context, child, bookKeeping.count++);
-  if (Array.isArray(mappedChild)) {
-    mapIntoWithKeyPrefixInternal(mappedChild, result, childKey, c => c);
-  } else if (mappedChild != null) {
-    if (isValidElement(mappedChild)) {
-      mappedChild = cloneAndReplaceKey(
-        mappedChild,
-        // Keep both the (mapped) and old keys if they differ, just as
-        // traverseAllChildren used to do for objects as children
-        keyPrefix +
-          (mappedChild.key && (!child || child.key !== mappedChild.key)
-            ? escapeUserProvidedKey(mappedChild.key) + '/'
-            : '') +
-          childKey,
-      );
-    }
-    result.push(mappedChild);
-  }
-}
-
-function mapIntoWithKeyPrefixInternal(children, array, prefix, func, context) {
-  let escapedPrefix = '';
-  if (prefix != null) {
-    escapedPrefix = escapeUserProvidedKey(prefix) + '/';
-  }
-  const traverseContext = getPooledTraverseContext(
-    array,
-    escapedPrefix,
-    func,
-    context,
-  );
-  traverseAllChildren(children, mapSingleChildIntoContext, traverseContext);
-  releaseTraverseContext(traverseContext);
-}
-
 /**
  * Maps children that are typically specified as `props.children`.
  *
@@ -351,7 +229,17 @@ function mapChildren(children, func, context) {
     return children;
   }
   const result = [];
-  mapIntoWithKeyPrefixInternal(children, result, null, func, context);
+  let count = 0;
+  mapIntoArray(
+    children,
+    result,
+    '',
+    '',
+    function(child) {
+      return func.call(context, child, count++);
+    },
+    context,
+  );
   return result;
 }
 
@@ -365,7 +253,32 @@ function mapChildren(children, func, context) {
  * @return {number} The number of children.
  */
 function countChildren(children) {
-  return traverseAllChildren(children, () => null, null);
+  let n = 0;
+  mapChildren(children, () => n++);
+  return n;
+}
+
+/**
+ * Iterates through children that are typically specified as `props.children`.
+ *
+ * See https://reactjs.org/docs/react-api.html#reactchildrenforeach
+ *
+ * The provided forEachFunc(child, index) will be called for each
+ * leaf child.
+ *
+ * @param {?*} children Children tree container.
+ * @param {function(*, int)} forEachFunc
+ * @param {*} forEachContext Context for forEachContext.
+ */
+function forEachChildren(children, forEachFunc, forEachContext) {
+  mapChildren(
+    children,
+    function() {
+      forEachFunc.apply(this, arguments);
+      // Don't return anything.
+    },
+    forEachContext,
+  );
 }
 
 /**
@@ -375,9 +288,7 @@ function countChildren(children) {
  * See https://reactjs.org/docs/react-api.html#reactchildrentoarray
  */
 function toArray(children) {
-  const result = [];
-  mapIntoWithKeyPrefixInternal(children, result, null, child => child);
-  return result;
+  return mapChildren(children, child => child) || [];
 }
 
 /**