Preheat the oven to 350°F. Grease a 9×13 inch baking pan or line with parchment paper. Set aside.
Make the cake: In a medium bowl, toss the strawberries with ¼ cup of the sugar and set aside.
In a medium bowl, whisk together the flour, baking soda, baking powder, cardamom, and salt.
Using a mixer set, beat the butter and the remaining 1 cup of sugar on medium-high speed until smooth and creamy, scraping down the sides of bowl when necessary. Beat in the eggs, sour cream, and vanilla until blended. (Mixture may look curdled, which is fine). With the mixer on low speed, mix in the dry ingredients and milk until smooth. Do not overmix. The batter will be thick.
Make the crumb topping: Mix the brown sugar, granulated sugar, cinnamon, and salt together in a medium bowl. Stir in the melted butter. Using a fork, mix in the flour until crumbles form. Set aside.
Spread the cake batter evenly into prepared baking pan. Top evenly with strawberries. Top with crumb topping. Using a rubber spatula or the back of a large spoon, gently press the crumb topping down.
Bake until cake is set and a toothpick inserted in the center comes out clean, 45 to 50 minutes.
Set the cake on a wire rack and let cool before serving.