A new approach for solving electron transport problems by the Monte Carlo method has been developed. The present approach uses pseudo-reduced single elastic and inelastic scattering cross sections instead of the multiple scattering distributions commonly used in conventional Monte Carlo calculations. Transmission and albedo factors for 1- and 0.5-MeV electrons normally incident on materials of low and high atomic number (aluminum and gold) have been obtained and compared with earlier results. The agreement is reasonably good. The present method is simple and considerably reduces data storage in the computer's memory.