State of the Art: Transforming Ideas for Teaching and Learning Mathematics.

The implementation of the National Council of Teachers of Mathematics'"Curriculum and Evaluation Standards for School Mathematics" implies fundamental shifts in the teaching and learning of mathematics. Intended for those individuals who will be instrumental in the implementation of those changes--teachers, administrators, and parents--this document presents 10 ideas for transforming mathematics teaching and learning based on research and successful practical experience: (1) All students can and must learn mathematics, which should serve as a "pump," not a "filter"; (2) Teachers need to listen to students and incorporate into their instruction what they learn from listening; (3) Students learn mathematics best when they construct their own mathematical understanding; (4) Students need to learn more and different types of mathematics; (5) Mathematical discussion should be a daily part of classroom activity; (6) Teachers need to become "informed guides" to the learner; (7) Calculators, computers, and related technology can be effective tools in the teaching and learning of mathematics; (8) Students need shared learning experiences; (9) Curricular and pedagogical change in mathematics cannot occur without accompanying change in student assessment; and (10) Lasting change takes broad support. (Contains 14 references.) (MDH)