There are selected philosophies in the teaching of mathematics which can provide guidance to the teacher in developing the curriculum and also a framework for teaching and learning. This paper discusses four such philosophies of teaching mathematics: Idealism, Realism, Experimentalism, and Existentialism. Idealism stresses that students live in an…

This paper suggests that the mathematics teacher needs to do much reading and studying of important trends in improving the mathematics curriculum. Recommendations are made for what teachers need to look for in research studies in mathematics in order to help them recognize what would make for a quality study. Collaborative and individualized…

How microcomputers are to be utilized in on-going mathematics instruction is discussed. In the first section, the ideas of Skinner are considered in relation to microcomputer use. How computer-assisted instruction would appear when Skinner's programmed learning suggestions are followed is described, and other points of his philosophical beliefs…