In an electric mixer, cream the butter and sugar until light and fluffy, about 5 minutes. Scrape down the sides of the bowl if necessary.
Add the eggs, one at a time, letting each become fully incorporated.
Add the baking powder, salt, ginger, and cardamom, and mix briefly to combine.
Add the flour, and mix to combine, alternating with the Greek yogurt.
Give the mixture a final stir by hand to make sure everything is evenly incorporated, and spread the batter into your prepared pan.
Arrange your pear slices on top of the cake, pushing them into the batter very slightly.
Bake for 40-45 minutes, or until the cake is puffed and starting to turn golden on top.
Allow to cool for about 10 minutes before removing from the springform pan. Continue to cool on a baking rack, and dust with powdered sugar when completely cooled.
Notes
You'll notice I placed the slices of pear casually on the surface of my cake, but if you want to take more time you can arrange them in a pretty spiral pattern.
Nutritional information is provided as a courtesy and is an estimate only. This information comes from online calculators. Although The View from Great Island attempts to provide accurate nutritional information, these figures are only estimates.
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