Preheat a nonstick skillet or cast iron griddle over low to medium-low heat. Lightly brush the surface with a thin layer of neutral oil or melted butter to prevent sticking without crisping the pancakes too much.
In a medium mixing bowl, whisk together the oat flour, whole wheat flour, baking powder, cinnamon (if using), and a tiny pinch of salt (if using) until evenly combined and free of baking powder clumps.
1/2 cup oat flour, 1/4 cup whole wheat flour, 1/2 teaspoon baking powder, 1/8 teaspoon ground cinnamon, salt
If making egg free pancakes, stir together the ground flaxseed and warm water in a small bowl and let sit for about 5 minutes to thicken before adding to the wet ingredients.
1 tablespoon ground flaxseed, 3 tablespoons warm water
In a separate small bowl, thoroughly mash the ripe banana with a fork until mostly smooth. Whisk in the egg (or prepared flax egg), milk, yogurt, vanilla (if using), and oil or melted butter until fairly smooth and the egg is fully broken up.
1 medium very ripe banana, 1 large egg, 1/4 cup milk of choice, 1 tablespoon plain yogurt, 1/2 teaspoon vanilla extract, 1 teaspoon neutral oil or melted unsalted butter
Pour the wet mixture into the bowl with the dry ingredients. Gently stir with a spatula or spoon just until combined. The batter should be thick but spoonable. If too thick, add a teaspoon or two more milk; if too runny, sprinkle in a little extra oat flour. A few small lumps are fine.
For older babies and toddlers, gently fold in very finely grated apple or pear, minced berries, or chia seeds if desired. If using chia seeds, add a splash more milk if the batter thickens too much.
1 to 2 tablespoons very finely grated apple or pear, 1 tablespoon finely minced soft berries, 1 teaspoon chia seeds
Working in batches, drop 1–2 tablespoons of batter per pancake onto the warm, lightly greased pan to make small silver-dollar pancakes. Cook over low to medium-low heat for 2–3 minutes, until small bubbles appear around the edges and the bottoms are lightly golden and set.
Flip each pancake gently with a small spatula and cook for another 1–2 minutes, until the second side is lightly golden and the centers are cooked through but still very soft. Reduce the heat if the pancakes brown too quickly before the middle is done.
Transfer cooked pancakes to a plate and let cool until warm, not hot, before serving to babies. Cut into strips, wedges, or serve whole depending on your baby’s age and skill, and offer plain or with a little plain yogurt or mashed fruit.
Cool completely before storing. Refrigerate in an airtight container for up to 3 days, or freeze in a single layer, then transfer to a freezer bag for up to 2 months. Reheat briefly in the microwave (10–30 seconds) or in a dry skillet over low heat until just warm.