Paramecium reproduces through both sexual and asexual methods, including binary fission, conjugation, autogamy, and endomixis. Binary fission is a common asexual process that results in two daughter cells, while conjugation allows for genetic material exchange under specific conditions, forming a diploid zygote. Autogamy occurs within a single organism, and endomixis involves the development of new nuclei through a series of divisions, ultimately producing multiple daughter paramecia.