TITLE How People Learn...Mathematics.

This paper addresses four of the seven themes of the 2nd International Conference on the Teaching of Mathematics--research, technology, pedagogical innovation, and curricular innovation--from the point of view that learning mathematics is learning. Research from a variety of fields including education, neurobiology, and cognitive psychology provides a consistent set of messages about what learning is, how learning takes place, and how teachers can facilitate learning. The paper offers brief surveys of research on the main themes, then describes how to design learning environments such as a combination of an interactive classroom, an outline delivery system, a rich set of tools, demanding course requirements, innovative course materials, effective in-class and assessment practices, and intangibles, which is radically different from the traditional learning practice. This paper also provides an example of a research-based design for a single lesson. The need for continuous curriculum renewal for effective strategies to stimulate deep learning, goal-directed assessments, addressing the needs of a would-be mathematically literate public, and preservice and inservice professional development are discussed. (Contains 20 references.) (Author/KHR) Reproductions supplied by EDRS are the best that can be made from the original document