The New York State P-12 Common Core Learning Standards were adopted by the New York State Board of Regents in January 2011 for ELA & Literacy and for Mathematics. These standards are composed of the Common Core State Standards (CCSS) and a small number of additional standards (15%), reflecting the addition of pre-K standards and standards related to diversity, for example. The NYS P-12 CCLS can be viewed here:
The Standards for Mathematical Practice rest on important “processes and proficiencies” with longstanding importance in mathematics education. They are expectations of student behaviors and are the same at every grade level PK-12.
Standards for Mathematical Practice
1 Make sense of problems and persevere in solving them.
2 Reason abstractly and quantitatively.
3 Construct viable arguments and critique the reasoning of others.
4 Model with mathematics.
5 Use appropriate tools strategically.
6 Attend to precision.
7 Look for and make use of structure.
8 Look for and express regularity in repeated reasoning.
The Standards for Mathematical Content are a balanced combination of procedure and understanding. Expectations that begin with the word “understand” are often especially good opportunities to connect the Mathematical Practices to the content. Students who lack understanding of a topic may rely on procedures too heavily. Without a flexible base from which to work, they may be less likely to consider similar problems, represent problems reasonably, justify conclusions, apply the mathematics to realistic situations, use technology mindfully to work with the mathematics, explain the mathematics accurately to other students, step back for an overview, or deviate from a known procedure to find a shortcut. In short, a lack of understanding effectively prevents a student from engaging in the mathematical practices. In this respect, those content standards which set an expectation of understanding are potential “points of intersection” between the Standards for Mathematical Content and the Standards for Mathematical Practice. The Common Core Standards for Mathematics can be viewed here: