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Beneath educational pedagogies lie philosophical assumptions about the nature of learning, knowledge, truth and morality. These different philosophies form the foundations of a variety of instructional programs in all academic disciplines. This paper addresses constructivism, a recent attempt to provide a philosophical pedagogy which affects classroom instruction, teacher training, curricululm development, and educational research. It specifically looks at constructivist theory as it relates to mathematics and science education. In so doing, the paper examines: (1) epistemology in the classroom; (2) epistemology in education research; (3) epistemology in mathematics and science (faith and skepticism); (4) Piaget’s constructivist epistemology; and (5) implications for education. A bibliography is included. (TW)