Preheat oven to 350.
In a 5-quart Dutch oven or heavy pot, toss beef with flour; stir in tomato paste. Add potatoes, onions, broth, beer, and garlic; season with salt and pepper. Cover, and bring to a boil over medium heat, stirring occasionally.
Transfer pot to oven, and cook, covered, until meat is fork-tender, 2 1/2 to 3 hours. Stir in peas, and season with salt and pepper.