Step 1: Split tumor of the mandible into types.
Tumors that involve the mandible fall into a few groups: odontogenic tumors that arise from tooth forming tissue, primary bone tumors like osteosarcoma, tumors of blood or lymphatic origin like lymphoma, and cancers that spread into the jaw from nearby oral structures, like squamous cell carcinoma of the gum or floor of the mouth invading bone.
Step 2: Identify the most common odontogenic tumor.
Among all odontogenic tumors, ameloblastoma is the most common clinically significant one, and the jaws, mainly the mandible, are by far its favorite site. As a standalone primary tumor of the mandible bone, it is encountered more often than primary bone sarcomas in standard surgical teaching.
Step 3: Rule out the other options.
Osteosarcoma of the jaw is real but far less common than ameloblastoma, and it usually behaves more aggressively with pain and rapid growth. Lymphoma can involve the jaw bones but is an uncommon primary presentation there. Squamous cell carcinoma more often arises from the oral mucosa and secondarily invades the mandible, rather than being a primary tumor of the mandible bone itself.
Step 4: Final answer.
Taking ameloblastoma as the most frequently seen primary mandibular tumor, as cited from Bailey and Love's Short Practice of Surgery, the answer is
\[ \boxed{\text{Ameloblastoma}} \]