Preheat the oven to 350°F. Set an oven rack to the lower third of the oven.

In a large mixing bowl, use an electric mixer on low speed to combine the pumpkin puree, brown sugar, cornstarch, pumpkin pie spice, and salt.

Mix or whisk in the half-and-half, maple syrup, and, vanilla extract until thoroughly combined. Adjust pumpkin spice as needed. Pour the entire mixture into the pie shell.

Bake in the preheated oven for 1 hour, or until the center of the pie is set. (The center will be slightly firm and no longer jiggle like a liquid.)

Cool completely on a wire rack then slice and serve.