**Mathematics as Problem-Solving**

The ability to apply mathematical skills confidently and meaningfully to unfamiliar situations is the goal of mathematics instruction.

**Mathematics as Communication **

Reading, writing, modeling, drawing and discussing are all important tools in helping children to explore, convey and clarify mathematical concepts and ideas.

**Mathematics as Reasoning**

Giving children opportunities to analyze, draw conclusions, and justify their thinking helps them gain a sense of self-reliance and confidence in their mathematical abilities and helps them see that mathematics makes sense.

**Mathematics as Connections**

Helping children see how concepts and ideas in one area of math relate to other areas of math, other subject areas, and their everyday lives foster an appreciation of the usefulness of mathematics.