Preheat oven to 350 F. Butter the bottom and sides of a 9-inch springform pan, and dust with cornmeal, shaking out the excess.
In a medium bowl, whisk together the flour, cornmeal, baking powder, baking soda, and salt.
Using a stand mixer with the paddle attachment or electric hand mixer, beat butter and sugars until light and creamy, about 2 minutes. Stop once to scrape down sides of bowl, and continue to beat for an additional minute.
Add eggs one at a time, beating on medium speed after each addition.
In a small bowl, whisk together buttermilk, vanilla extract, and almond extract. With mixer on low speed, add dry ingredients in three batches, alternating with buttermilk mixture. Mix just until incorporated, stopping at least once to scrape down sides of bowl.
Spread batter evenly into prepared pan. Arrange half of sliced strawberries on top of cake batter and lightly press down on them.
Bake until top is golden brown and firm to the touch, or until toothpick inserted into the middle comes out clean, 45 to 50 minutes. Let cool in pan 15 minutes. Use a knife or offset spatula to loosen cake from pan by going around the edge of cake, and unlatch to remove outer ring. Cool to room temperature.