Methods for forming monolithic refractory compositions may include providing a particulate refractory composition including 2 to 90 mass-% alumina, aluminosilicate, or mixtures thereof; 2 to 70 mass-% silicon carbide; 2 to 10 mass-% carbon; 1 to 10 mass-% Si powder; 1 to 3 mass-% microsilica; and up to 5 mass-% ferrosilicon. The methods may further include adding an amount of water to the particulate refractory composition to form a uniform mixture, installing the uniform mixture and allowing it to set, such that the monolithic refractory composition is required, and heat-treating the set mixture at a temperature no higher than 1200 C. under atmospheric conditions to form a monolithic refractory composition. The methods may optionally include heat-treating the obtained monolithic refractory composition to form silicon carbide whiskers within the monolithic refractory composition.