Mix the dry ingredients (0.625 cups white flour, 1 tbsp powdered sugar, 1 tsp baking powder, pinch of salt, and ~1/4 cup chopped walnuts) in one bowl.
Mix the wet ingredients (1/2 cup milk, 1 egg, 1 tsp vanilla, 1 tbsp butter, in that order) in another bowl.
Pour the dry ingredients into the wet and mix vigorously to form batter.3
Heat a non-stick or slightly oiled pan to medium or medium-high heat.
Pour ~1/2 cup of batter into the heated pan.
Wait until the bottom side of the pancake is lightly browned (usually about a minute).
Using a spatula, flip the pancake. Wait until the other side is lightly browned, then use the spatula to take the pancake off the heat. If the heat was high enough, the inside should still be slightly gooey.
Repeat until you run out of batter; this will typically yield ~3 pancakes.
Top pancakes with a small amount of butter and maple syrup or honey.