NCTM does not recommend, evaluate, or endorse any mathematics textbook, curriculum, or instructional program. There is no "one way" to teach mathematics. Nor is there only one textbook or program that should be used.
However, there are certain requisites that teaching materials must meet if they are to move students closer to realizing the goals of the Standards. The sequence, timing, developmental appropriateness, and complexity of mathematical tasks described in these materials have a direct impact on the quality of the mathematical content students receive.
To evaluate the mathematical content in instructional materials, we should ask the following questions:
- Do the teaching materials ask students to perform at high cognitive levels?
- Do the materials help teachers understand the content for themselves and foster a better understanding of the teaching and learning of mathematics?
- Do the materials integrate assessment into the teaching and learning process?
The appendix of Principles and Standards includes a detailed Table of Standards and Expectations across the four grade bands, which can be used to evaluate materials and programs.