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1
In a cup, combine the yeast and 1/2 teaspoon granulated sugar.
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2
Add the warm water and stir let stand until foamy, about 5 minutes.
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3
Combine 1 1/2 cups flour, 4 tablespoons granulated sugar and the salt in a large bowl.
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4
Melt the butter.
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5
Using an electric mixer set on low speed (whisking works fine, too) beat in 1/2 cup milk, 3 tablespoons butter, the egg and the yeast mixture.
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6
Beat on medium speed for 2 minutes.
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7
Stir in 1 1/2 cups flour to make a soft dough.
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8
Knead the dough until smooth and elastic, about 10 minutes, adding remaining flour if needed.
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9
Cover; let sit for 10 minutes.
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10
In a small bowl, combine remaining granulated sugar with the almonds, brown sugar and cinnamon.
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11
Roll the dough into a 12- x 10-inch rectangle.
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12
Brush with most of the remaining butter and sprinkle the sugar mixture on top.
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13
Roll the dough up tightly from one side.
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14
Cut the rolled dough into 12 slices.
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15
Place in a 13- x 9-inch nonstick baking pan.
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16
Brush with the rest of the butter.
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17
Cover; let buns rise in a warm place for 30 minutes.
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18
Preheat oven to 350F Bake for 20 minutes.
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19
Cool briefly.
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20
Mix confectioners' sugar, vanilla and remaining milk to create the glaze.
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21
Drizzle over the warm buns.
