Preheat oven to 180°C and grease and line a 10 x 20cm loaf pan.
Put the butter into a small saucepan over a medium heat. As the butter melts, it will begin to foam and turn brown. Once you smell a nutty aroma, take the pan off the heat and transfer the butter into a heat-proof bowl to cool down slightly.
In a medium bowl, combine the eggs and mashed banana and mix well.
Add the cooled browned butter to the wet mixture and stir until combined.
Add sugar, flour, baking powder and cinnamon to the banana mix and stir until just incorporated (don't over mix or the banana bread will become tough).
Pour the batter into your prepared loaf pan and top with 2 halves of banana.
Bake for around 50 mins or until a skewer comes out clean.
Rest in the pan for 15 mins before turning out onto a wire rack to cool completely.
Enjoy warm with lots of butter!