Poke several deep holes in the sweet potatoes with a fork. Place on a parchment-lined baking sheet and bake until tender, about 30 to 40 minutes. When ready, peel them with your fingers or a peeler while hot. While hot, puree them using a food mill or potato ricer in a bowl or on a work surface.
Add most of the flour to the pureed sweet potatoes and knead until smooth. Some sweet potatoes absorb less flour than others, so it's best not to add it all unless you know exactly how much they absorb. Stop adding flour when the dough becomes soft and smooth but still sticky.
Sprinkle the surface lightly with flour. Divide the dough into four parts and shape them into sausage-like rolls about 1 inch/2 cm thick. Slice the dough into ½ inch/1 cm long pieces. When working with the gnocchi, repeatedly dust your hands and your work surface with flour.
Shape the gnocchi so that they cook evenly and hold the sauce well.
Using a fork: Choose a fork with long, thin, and, if possible, round tines. Standing over the work surface, hold the fork more or less parallel to the work surface with the convex side (the back, domed side) down and the concave side (the hollow of the fork) up. With the index finger of your other hand, hold one of the cut pieces against the inner curve of the fork, just below the ends of the prongs. Pressing the piece against the prongs, turn it away from the ends and toward the fork handle. The finger should turn the piece over and not slide it. Drop it on the counter as the piece rolls away from the prongs.
Using the gnocchi board: Hold the gnocchi board with your usual working hand. Hold one of the cut pieces against the grooves with the index finger of the other hand. Pressing the piece against these, turn it over, then drop it on the counter.
If done correctly, it will have ridges on the side formed by the tines and a depression on the side formed by your finger. When the gnocchi is shaped this way, the middle section is thinner and becomes more tender, while the ridges become grooves for the sauce to adhere to.
If possible, choose a large pan, 6 quarts (5.68 liters) and 12 inches (10.5 cm) in diameter. The larger, the better; it will hold more gnocchi at once. Put about 4 quarts (3.78 liters) of water, bring to a boil and add salt generously.
Test the gnocchi. Before placing the first batch of gnocchi, put only two (2) or three (3) in the water. When the dumplings float to the surface 4 minutes later, retrieve them and taste them. If they taste too floury, add two (2) minutes to the cooking time; if they are almost dissolved, remove two (2).
Place the first whole batch of gnocchi, about two dozen. In a few minutes they will float to the surface. Let them cook for about 4 minutes, depending on the time determined earlier, then remove them with a slotted spoon or a large spoon and transfer them to a warm serving dish.
Prepare the sage butter. Melt butter in a large skillet. Add sage and cook until crisp. Pour the gnocchi on top, distributing it evenly and sprinkle lightly with grated Parmesan cheese.
Stored in an airtight container, this Sweet Potato Gnocchi will keep for 3 days and in the freezer for 3 months.