Collect reference images of bears, to serve as guidelines. Be sure to include close-up pictures that illustrate the small details.
Secure the wood block to the table, using screws or a vise. Use a marker to roughly indicate the location of the ears, muzzle and legs of the bear. Continue to mark the areas of wood that you intend to remove, as you work through the carving.
Cut the wood using chisels or burrs, to form the rough shape of a bear standing on all fours. Be sure to leave the head section thick enough to allow for the ears.
Remove wood evenly on both sides of the head, carefully shaping the ears and forming the protruding muzzle. Use a small burr or knife to carve the outline of the eyes -- make sure that they are level and exactly the same size.
Carve a horizontal line along the bottom of the muzzle, to indicate the mouth. Create two small holes for the nostrils. Look at the head from all sides to ensure that it has the right proportions. Use sandpaper to create a smooth surface on the face of the bear
Reposition and secure the wood block, so that you can shape and carve all four legs, including the paws and claws. Shape the rounded belly, being mindful of how it naturally curves into the legs. Use a knife and sandpaper, alternately, to form the contours of the bones and muscles.
Carve the legs and paws of the bear. Etch short, parallel lines on the paws, to indicate the toes, and then carefully shape the claws on each toe. Give the bear a visual check from all sides while comparing it to the reference images. Make any necessary adjustments to the contours or details, if you spot something.
Turn the wood block upside down, secure it, and cut away the wood in between the legs. The space will be in the shape of a cross, as the gaps run length-ways and cross-ways between the legs. Smooth the inside surfaces of the legs, once you have removed the excess wood.
Cut textured details into the wood, representing fur and muscle. You might want to experiment with different methods and tools on a separate piece of wood. One method involves cutting short, curved lines and then sanding them until they blend appropriately with the rest of the carving. If you prefer a smooth finish, then sand the entire carving with sandpaper, starting with a rough grit (100 grit) and progressively switching to finer grits.
Wipe away any sawdust and protect the sculpture with a coat of beeswax or waterproof lacquer.