Preheat oven to 350° F. Line a 8 or 9 inch springform pan with parchment paper.
Prep the strawberries: Slice 1 pound of the strawberries into 1/2 cm in thickness or 1/4 inch. Roughly chop the rest of the strawberries into 1 cm pieces or 1/2 inch. In a large bowl, stir together the sliced strawberries, brown sugar, and 2 tbsp of cornstarch until fully coated and juicy. Add to prepared springform pan and spread in an even layer.
Combine the dry and wet ingredients: In small bowl, whisk together the flour, baking powder, and salt. In a large bowl, mix together the sugar, eggs, yogurt, oil, and vanilla. Add in the dry ingredients and stir until just combined. Toss the chopped strawberries with about 1 tsp of flour and fold into the batter. This is to keep them from falling to the bottom. Fold these strawberries into the cake batter.
Bake the cake: Pour the cake batter over the strawberry mixture in the springform pan and spread as evenly as possible with a rubber spatula. Bake the cake for about 45 to 50 minutes or until a toothpick inserted in the center of the cake comes out clean.
Finish the dessert: Remove the side of the springform pan and let the cake cool completely. Flip the cake onto a serving platter carefully. Dust with a bit of powdered sugar, if preferred, slice and serve.