Catalyzing Change in School Mathematics: Key Recommendations. National Council of Teachers of Mathematics (2020).
The standards are based on three major principles:
Focus: teaching and learning are focused on the major standards, supporting deeper understanding
Coherence: connections between topics across and within grade levels:
Rigor: equal intensity to conceptual understanding, procedural skill and fluency, and application
The two types of standards are described in more depth below.
The Standards for Mathematical Practice (MPs) are identical for each grade level, and address the "habits of mind" of mathematically proficient students. The MPs provide a vehicle through which students engage with and learn mathematics. They are integrated in mathematical tasks as students progress from elementary through high school.
Content standards are different at each grade or course level from K-12, and describe the topics that students should understand and be able to do by the end of the school year. These were designed based on progressions of mathematical topics across grade levels, and are informed by the logical structure of mathematics as well as research on children's cognitive development.
The table below, from the CA Math Framework, describes the overall progression of domains and conceptual categories from K through high school.
Read more about CA Mathematics Standards by clicking on a button below
