diff --git a/schema/__init__.py b/schema/__init__.py
index 31bd71b..3ffea33 100644
--- a/schema/__init__.py
+++ b/schema/__init__.py
@@ -459,7 +459,11 @@ def validate(self, data: Any, **kwargs: Dict[str, Any]) -> Any:
                     for skey in sorted_skeys:
                         svalue = s[skey]
                         try:
-                            nkey = Schema(skey, error=e).validate(key, **kwargs)
+                            if isinstance(skey, (tuple, frozenset)):
+                                Schema(hash(skey), error=e).validate(hash(key), **kwargs)
+                                nkey = skey
+                            else:
+                                nkey = Schema(skey, error=e).validate(key, **kwargs)
                         except SchemaError:
                             pass
                         else:
diff --git a/test_schema.py b/test_schema.py
index 2d7a495..6f3c836 100644
--- a/test_schema.py
+++ b/test_schema.py
@@ -1985,3 +1985,25 @@ def test_callable_error():
     except SchemaError as ex:
         e = ex
     assert e.errors == ["This is the error message"]
+
+
+def test_tuple_key_of_dict():
+    # this is a simplified regression test of the bug in github issue #312
+    assert Schema({('map_point', 'to', 'map_polygon'): {}}).validate(
+        {('map_point', 'to', 'map_polygon'): {}}
+    ) == {('map_point', 'to', 'map_polygon'): {}}
+    with SE:
+        assert Schema({('map_point', 'to', 'map_polygon'): {}}).validate(
+            {('map_polygon', 'to', 'map_polygon'): {}}
+        ) == {('map_polygon', 'to', 'map_polygon'): {}}
+
+
+def test_frozenset_key_of_dict():
+    # this is a simplified regression test of the bug in github issue #312
+    assert Schema({frozenset(('map_point', 'to', 'map_polygon')): {}}).validate(
+        {frozenset(('map_point', 'to', 'map_polygon')): {}}
+    ) == {frozenset(('map_point', 'to', 'map_polygon')): {}}
+    with SE:
+        assert Schema({frozenset(('map_point', 'to', 'map_polygon')): {}}).validate(
+            {frozenset(('map_polygon', 'to', 'map_polygon')): {}}
+        ) == {frozenset(('map_polygon', 'to', 'map_polygon')): {}}
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