Preheat the oven to 350°F. Wash the strawberries, cut them into quarters and set aside.

Mix in a bowl the flour, sugar, salt, baking powder and lemon zest. Form a pile in the center and pour the oil.

Begin mixing with a hand or electric whisk, add milk little by little. Mix just until the dough is smooth.

Spread about 2/3 of the dough using your hands into an 8 inch round mold, lined with parchment paper; form a smooth base. Create dimples on the surface of the dough using a wet spoon, be careful not to make them too deep. Fill each dimple with a spoonful of strawberry jam, then cover with the fresh strawberries you've set aside.

Add the remaining pie dough over strawberries, using a spoon. Don't be precise as the cake will settle while baking.

Bake the strawberry pie for 40 minutes, then let cool down completely. Sprinkle with (brown) sugar icing and serve.