diff --git a/ibis/backends/datafusion/__init__.py b/ibis/backends/datafusion/__init__.py
index 32788a685dfd..0f347493d62c 100644
--- a/ibis/backends/datafusion/__init__.py
+++ b/ibis/backends/datafusion/__init__.py
@@ -468,7 +468,6 @@ def to_pyarrow_batches(
         self,
         expr: ir.Expr,
         *,
-        params: Mapping[ir.Scalar, Any] | None = None,
         chunk_size: int = 1_000_000,
         **kwargs: Any,
     ) -> pa.ipc.RecordBatchReader:
@@ -477,49 +476,42 @@ def to_pyarrow_batches(
         self._register_udfs(expr)
         self._register_in_memory_tables(expr)
 
-        sql = self.compile(expr.as_table(), params=params, **kwargs)
-        frame = self.con.sql(sql)
-        batches = frame.collect()
-        schema = expr.as_table().schema()
+        table_expr = expr.as_table()
+        raw_sql = self.compile(table_expr, **kwargs)
+
+        frame = self.con.sql(raw_sql)
+
+        schema = table_expr.schema()
+        names = schema.names
+
         struct_schema = schema.as_struct().to_pyarrow()
+
         return pa.ipc.RecordBatchReader.from_batches(
             schema.to_pyarrow(),
             (
-                # convert the renamed and casted columns batch into a record batch
+                # convert the renamed + casted columns into a record batch
                 pa.RecordBatch.from_struct_array(
                     # rename columns to match schema because datafusion lowercases things
-                    pa.RecordBatch.from_arrays(batch.columns, names=schema.names)
-                    # casting the struct array to appropriate types to work around
+                    pa.RecordBatch.from_arrays(batch.columns, names=names)
+                    # cast the struct array to the desired types to work around
                     # https://github.com/apache/arrow-datafusion-python/issues/534
                     .to_struct_array()
                     .cast(struct_schema)
                 )
-                for batch in batches
+                for batch in frame.collect()
             ),
         )
 
-    def to_pyarrow(
-        self,
-        expr: ir.Expr,
-        *,
-        params: Mapping[ir.Scalar, Any] | None = None,
-        **kwargs: Any,
-    ) -> pa.Table:
-        self._register_in_memory_tables(expr)
-
-        batch_reader = self.to_pyarrow_batches(expr, params=params, **kwargs)
+    def to_pyarrow(self, expr: ir.Expr, **kwargs: Any) -> pa.Table:
+        batch_reader = self.to_pyarrow_batches(expr, **kwargs)
         arrow_table = batch_reader.read_all()
         return expr.__pyarrow_result__(arrow_table)
 
-    def execute(
-        self,
-        expr: ir.Expr,
-        params: Mapping[ir.Expr, object] | None = None,
-        limit: int | str | None = "default",
-        **kwargs: Any,
-    ):
-        output = self.to_pyarrow(expr.as_table(), params=params, limit=limit, **kwargs)
-        return expr.__pandas_result__(output.to_pandas(timestamp_as_object=True))
+    def execute(self, expr: ir.Expr, **kwargs: Any):
+        batch_reader = self.to_pyarrow_batches(expr, **kwargs)
+        return expr.__pandas_result__(
+            batch_reader.read_pandas(timestamp_as_object=True)
+        )
 
     def _to_sqlglot(
         self, expr: ir.Expr, limit: str | None = None, params=None, **_: Any