Heat the oven to 425°F. Spread the vegetables and the ginger matchsticks in a large, low-sided roasting pan or a heavy rimmed baking sheet.
Drizzle with the butter and season with salt and pepper. Toss to evenly coat the vegetables and spread them so that they're just one layer deep.
Roast the vegetables, tossing a couple of times, until tender and golden brown in spots, about 30 minutes. Combine the grated ginger and maple syrup. Drizzle the vegetables with the maple-ginger mixture, toss, and roast for another 5 minutes. The vegetables should be very tender and browned in spots. Serve warm.