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Preheat the oven to 375°F. Lightly grease a standard 12-cup muffin tin; or line the tin with baking cups, and grease the cups.
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In a medium-sized bowl, beat together the butter and sugar until well combined.
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Add the eggs one at a time, scraping the sides and bottom of the bowl and beating well after each addition.
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Beat in the baking powder, salt, and vanilla.
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Add the flour alternately with the milk, beating gently just to combine. Scrape the bottom and sides of the bowl.
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Mash 1/2 cup of the blueberries. Add the mashed and whole berries to the batter, stirring just to combine and distribute.
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Scoop the batter by the heaping 1/4-cupful into the prepared muffin pan; a muffin scoop works well here.
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Sprinkle about 1 teaspoon granulated sugar atop each muffin.
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Bake the muffins for 25 to 30 minutes, until they're light golden brown on top, and a toothpick inserted into the middle of one of the center muffins comes out clean.
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Remove the muffins from the oven, loosen their edges from the pan, and after about 5 minutes transfer them to a rack to cool. Serve slightly warm or at room temperature.
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Store leftover Jordan Marsh Blueberry Muffins in an airtight container at room temperature for several days. Freeze for longer storage.