In a large saucepan, heat water to just before boiling. Add tea bags, 2 of the cinnamon sticks and ginger. Remove from heat, cover and let steep for about 15 minutes.
Pass the mixture through a fine-mesh sieve, placed over a pitcher. Add the juice and sweetener to taste. Refrigerate until very cold.
To serve, fill 6 tall glasses with crushed ice. Pour the tea over the ice and garnish with cinnamon sticks. Serve immediately.