diff --git a/arraycontext/context.py b/arraycontext/context.py
index 0d0595c3..e8c40896 100644
--- a/arraycontext/context.py
+++ b/arraycontext/context.py
@@ -156,7 +156,7 @@
 
 from abc import ABC, abstractmethod
 from collections.abc import Callable, Mapping
-from typing import TYPE_CHECKING, Any, Protocol, TypeAlias, TypeVar, Union
+from typing import TYPE_CHECKING, Any, Protocol, TypeAlias, TypeVar, Union, overload
 from warnings import warn
 
 import numpy as np
@@ -320,6 +320,14 @@ def zeros(self,
 
         return self.np.zeros(shape, dtype)
 
+    @overload
+    def from_numpy(self, array: np.ndarray) -> Array:
+        ...
+
+    @overload
+    def from_numpy(self, array: ContainerOrScalarT) -> ContainerOrScalarT:
+        ...
+
     @abstractmethod
     def from_numpy(self,
                    array: NumpyOrContainerOrScalar
@@ -333,6 +341,14 @@ def from_numpy(self,
             intact.
         """
 
+    @overload
+    def to_numpy(self, array: np.ndarray) -> Array:
+        ...
+
+    @overload
+    def to_numpy(self, array: ContainerOrScalarT) -> ContainerOrScalarT:
+        ...
+
     @abstractmethod
     def to_numpy(self,
                  array: ArrayOrContainerOrScalar
diff --git a/arraycontext/impl/numpy/__init__.py b/arraycontext/impl/numpy/__init__.py
index c2f884a6..f9d6c541 100644
--- a/arraycontext/impl/numpy/__init__.py
+++ b/arraycontext/impl/numpy/__init__.py
@@ -1,7 +1,4 @@
-from __future__ import annotations
-
-
-__doc__ = """
+"""
 .. currentmodule:: arraycontext
 
 A :mod:`numpy`-based array context.
@@ -9,6 +6,9 @@
 .. autoclass:: NumpyArrayContext
 """
 
+from __future__ import annotations
+
+
 __copyright__ = """
 Copyright (C) 2021 University of Illinois Board of Trustees
 """
@@ -33,7 +33,7 @@
 THE SOFTWARE.
 """
 
-from typing import Any
+from typing import Any, overload
 
 import numpy as np
 
@@ -46,6 +46,7 @@
     ArrayContext,
     ArrayOrContainerOrScalar,
     ArrayOrContainerOrScalarT,
+    ContainerOrScalarT,
     NumpyOrContainerOrScalar,
     UntransformedCodeWarning,
 )
@@ -84,11 +85,27 @@ def _get_fake_numpy_namespace(self):
     def clone(self):
         return type(self)()
 
+    @overload
+    def from_numpy(self, array: np.ndarray) -> Array:
+        ...
+
+    @overload
+    def from_numpy(self, array: ContainerOrScalarT) -> ContainerOrScalarT:
+        ...
+
     def from_numpy(self,
                    array: NumpyOrContainerOrScalar
                    ) -> ArrayOrContainerOrScalar:
         return array
 
+    @overload
+    def to_numpy(self, array: Array) -> np.ndarray:
+        ...
+
+    @overload
+    def to_numpy(self, array: ContainerOrScalarT) -> ContainerOrScalarT:
+        ...
+
     def to_numpy(self,
                  array: ArrayOrContainerOrScalar
                  ) -> NumpyOrContainerOrScalar:
diff --git a/arraycontext/impl/pytato/utils.py b/arraycontext/impl/pytato/utils.py
index c031e29b..6441527a 100644
--- a/arraycontext/impl/pytato/utils.py
+++ b/arraycontext/impl/pytato/utils.py
@@ -163,10 +163,7 @@ def map_data_wrapper(self, expr: DataWrapper) -> Array:
 
         # https://github.com/pylint-dev/pylint/issues/3893
         # pylint: disable=unexpected-keyword-arg
-        # type-ignore: discussed at
-        # https://github.com/inducer/arraycontext/pull/289#discussion_r1855523967
-        # possibly related: https://github.com/python/mypy/issues/17375
-        return DataWrapper(  # type: ignore[call-arg]
+        return DataWrapper(
             data=new_dw.data,
             shape=expr.shape,
             axes=expr.axes,