Preheat the oven to 375 degrees F and grease a standard muffin tin with nonstick spray.
Place all ingredients into a medium bowl and stir together gently to combine. Divide the batter among the prepared muffin tin, filling each about 3/4 full.
Bake for 18-20 minutes or until the edges are lightly golden brown and a cake tester inserted into the center comes out clean. Remove from oven, let cool in the pan for a minute or so, then transfer to a wire rack to cool at least slightly.
Serve warm with butter.
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Notes
To store, place cooled muffins into an airtight container and store in the fridge for up to 5 days. Reheat for 15-30 seconds and serve warm. Or freeze for up 3 months in the freezer in a zip-top storage bag with as much air removed as possible. Thaw in the fridge or at room temperature and warm to serve.
Reduce the salt to 1/2 teaspoon if desired.
Use just the top parts of each broccoli floret and avoid using any of the harder stems. This will help ensure a fluffy overall texture to the muffins. You can chop the tops of the broccoli florets or use a pair of kitchen shears.
Use a box grater to grate the carrot. You'll need about 1-2 medium or large carrots.
Use gluten-free cup-for-cup flour blend in place of the whole wheat flour to make these gluten-free.
These pair nicely with soup and salad, or are a nice lunch or breakfast main dish with simple sides such as fruit, eggs, or additional veggies.