Preheat oven to 350 degrees F.
In a large bowl, toss together the strawberries, rhubarb, sugar, cornstarch, zest, and ginger. Place the mixture in a shallow 8-cup baking dish. Loosely cover with foil and bake for 30 minutes.
While the fruit mixture is baking, make the crisp topping. In a medium-sized bowl, mix together the flour, brown sugar, oats, salt, cinnamon, ginger and butter, until the butter is distributed evenly.
After the fruit has baked for 30 minutes, remove the foil and cover with the crisp topping. Return to the oven and bake, uncovered, for an additional 30 minutes.
Serve at any temperature with ice cream as dessert or even a dollop of yogurt as breakfast.