The major tenets of Math reform Arithmetic is a part of mathematics, but should not replace it. Probability, statistics, algebra, graphing, measurement, and geometry are also appropriate topics for children of all ages. Computation is an important piece of the curriculum, but not to the exclusion of the other strands. There is an increased emphasis on investigating problems with solutions that only become apparent with exploration, discussion, and creative, logical thinking. These problems often come from the real world, sorting fingerprints, maximizing space while minimizing cost, detecting patterns that would allow for modeling.
Technology is a tool that's important to use effectively.
In mathematics children are encouraged to communicate their thinking. They learn to acknowledge and honor other children's thinking. This process involves many conversations and often includes writing. The history and culture of mathematics is being shared more actively and accurately with today's students. Mathematics is presented as a constantly growing body of patterns and discoveries, with many diverse contributions from many cultures making up what we share with one another.