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Preheat the oven to 350 degrees F. Line 2 baking sheets with parchment paper.
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Cut the squash into thin slices Discard the seeds.
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Core the pears and cut into slices.
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Arrange the acorn squash and pears on the baking sheets.
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Brush with olive oil. Season with kosher salt and freshly ground pepper to taste.
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Place in oven. Take the pears out after 20 minutes. Take the squash out after 30 minutes. You should be able to easily run a fork through the slices.
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turn the oven up to 475 degrees F and replace the baking sheets in the oven.
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In a separate bowl whisk the flour and salt together. Add the water and mix until a smooth dough forms.
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Separate the dough into 4 equal pieces (use a kitchen scale.)
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On a lightly floured pieces of parchment paper, roll each piece of dough out into an oval shape.
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Brush the sour cream or creme fraiche over the tops of the dough ovals.
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Arrange the squash and pear slices evenly over the top.
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Scatter the gouda cheese over the top.
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Lift up the parchment paper and transfer the Flammkuchen on the parchment paper onto the preheated baking sheets in the oven.
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Bake for 15 minutes until the crust is golden brown and crispy.
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Remove from the oven. Season again with salt and freshly ground pepper, if desired. Serve warm.