Combine flour, salt, pepper and thyme in small bowl. Place beef in 4-1/2 to 5-1/2-quart slow cooker. Sprinkle with flour mixture; toss to coat.
Combine broth, tomato paste, wine and garlic in small bowl; mix well. Add to beef. Add potatoes, mushrooms and carrots; mix well.
Cover and cook on HIGH 5 to 6 hours, or on LOW 8 to 9 hours, or until beef and vegetables are tender. (No stirring is necessary during cooking.) Stir well before serving. Garnish with parsley, if desired.