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Cut the plums by scoring from the stem all the way lengthwise around the plum. However, take care to leave each fruit in one piece.
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Discard the pit then turn the plum and score in the opposite direction, only halfway down
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this time. Repeat until all the plums have even scored.
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Grease both tart pans.
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Put the flour, fresh yeast, egg yolk, salt, 1/4 cup white granulated sugar, and vanilla sugar together in a bowl.
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Do not mix.
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Cover the bowl and set aside for a half hour in a warm place.
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Warm the milk, taking care not to boil it. Add the milk to the yeast mixture. Add the margarine or vegetable shortening, mix and knead the mixture thoroughly.
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Cover the bowl once more and set aside in a warm place for 20 minutes or until the dough doubles in size.
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Preheat oven to 400 Degrees F.
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Split the dough in half. Roll it out into a circle and transfer to pan. Trim the edges.
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Using a fork make impressions to form the crust and poke holes in the bottom.
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Sprinkle one heaping tablespoon of breadcrumbs evenly over the crust in pan. This helps absorb the juice from the plums and prevents a soggy crust.
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Starting from the outer edges, lay the plums on top of the crust.
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Let the tart stand in a warm place for 15 minutes and then put in the oven and bake for 20 minutes.
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While the first cake one is baking, prepare the second.
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After removing the tart from the oven, sprinkle with a tablespoon of sugar over the top. If desired, whip some heavy cream and spoon a bit on top of each slice you serve.