diff --git a/jwt/algorithms.py b/jwt/algorithms.py
index 54b574fa4..5cac550c9 100644
--- a/jwt/algorithms.py
+++ b/jwt/algorithms.py
@@ -82,17 +82,19 @@ def verify(self, msg, key, sig):
         """
         raise NotImplementedError
 
-    def to_jwk(self, key_obj):
+    @staticmethod
+    def to_jwk(key_obj):
         """
         Serializes a given RSA key into a JWK
         """
         raise NotImplementedError
 
-    def from_jwk(self, jwk):
+    @staticmethod
+    def from_jwk(jwk):
         """
         Deserializes a given RSA key from JWK back into a PublicKey or PrivateKey object
         """
-        return NotImplementedError
+        raise NotImplementedError
 
 
 class NoneAlgorithm(Algorithm):
@@ -109,14 +111,6 @@ def prepare_key(self, key):
 
         return key
 
-    @staticmethod
-    def to_jwk(key_obj):
-        return {}
-
-    @staticmethod
-    def from_jwk(jwk):
-        return None
-
     def sign(self, msg, key):
         return b''
 
diff --git a/tests/test_algorithms.py b/tests/test_algorithms.py
index 7fef9635d..818c56b67 100644
--- a/tests/test_algorithms.py
+++ b/tests/test_algorithms.py
@@ -36,6 +36,18 @@ def test_algorithm_should_throw_exception_if_verify_not_impl(self):
         with pytest.raises(NotImplementedError):
             algo.verify('message', 'key', 'signature')
 
+    def test_algorithm_should_throw_exception_if_to_jwk_not_impl(self):
+        algo = Algorithm()
+
+        with pytest.raises(NotImplementedError):
+            algo.from_jwk('value')
+
+    def test_algorithm_should_throw_exception_if_from_jwk_not_impl(self):
+        algo = Algorithm()
+
+        with pytest.raises(NotImplementedError):
+            algo.to_jwk('value')
+
     def test_none_algorithm_should_throw_exception_if_key_is_not_none(self):
         algo = NoneAlgorithm()