Part of Advances in Neural Information Processing Systems 5 (NIPS 1992)
Geoffrey Towell, Richard Lehrer
We propose a model of the development of geometric reasoning in children that explicitly involves learning. The model uses a neural network that is initialized with an understanding of geometry similar to that of second-grade children. Through the presentation of a series of examples, the model is shown to develop an understanding of geometry similar to that of fifth-grade children who were trained using similar materials.