Connecting the Standards for Mathematical Practice to the Standards for Mathematical Content
The Standards for Mathematical Practice describe ways in which we can enable students to connect the mathematical content to rigorous and relevant problems that relate to their lives and world.
The Standards for Mathematical Content are a balanced combination of procedure and understanding. The practices enable us, as teachers, to use a variety of techniques to engage our students to learn, understand, and apply their mathematical knowledge. Without a flexible base from which to work, the students may be less likely to consider analogous problems, represent problems coherently, justify conclusions, apply the mathematics to practical 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.
For more information on Standards, go to: Mathematical Practices
For more information on Domains, go to: How to interpret the Domains