A synthetic, flexible tissue matrix and methods for repairing hyaline cartilage defects in a joint using the flexible tissue matrix are described. The flexible tissue matrix includes a high molecular weight polycaprolactone polymer entangled with a polysaccharide such as hyaluronic acid. In the methods, autologous bone mesenchymal stem cells are introduced to a joint by a microfracturing technique, and a membrane made of the flexible matrix is applied to the joint. Cartilage which forms in the joint is hyaline cartilage rather than fibrocartilage.