Router tables are woodworking tools that provide a stable platform for a hand-held router. They consist of a flat table with an opening where the router is mounted upside down, allowing the bit to protrude from the table. This setup enables woodworkers to guide the material across the stationary router, facilitating precise and controlled shaping, cutting, and edge profiling. Router tables enhance the versatility and safety of routing operations, making them popular in woodworking shops for tasks like creating decorative edges, dadoes, and joinery. They are valued for their ability to produce intricate and professional-looking woodwork with ease.