The following comes from, The Everything Parent's Guide to Common Core Math: Grades 6-8, by Jamie L. Sirois and Adam A. Wiggin.
Math is more than a set of concrete procedures and rules. It is about developing habits of mind that will follow a student and allow her to be successful in the future.The Common Core State Standards have outlined eight mathematical practices that are to be integrated into daily lessons. These are a set of skills that a math teacher hopes to develop in his students so they can find long-term success in life and see how math is integrated in the world around them.
Standard 1: Making Sense of Problems and Persevere in Solving Them
-What Does It Mean to Understand a Problem?
-How to Plan to Solve a Problem?
-Now It's Time to Solve
-Check Your Work
Standard 2: Reason Abstractly and Quantitatively
-How do I Decontextualize a Problem? (Create meaning and be able to apply math learning to everyday life)
Standard 3: Construct Viable Arguments and Critique the Reasoning of Others
-What Evidence Do I Have to Support My Opinion?
-How Can I Respectfully Communicate Ideas and Opinions, Whether in Agreement or Not?
Standard 4: Model With Mathematics
-How Can I Use Concrete Manipulatives, Pictures, or Equations to Make Meaning of Math?
Standard 5: Use Appropriate Tools Strategically
-What are the Purposes, Benefits, or Limitations of a Tool?
Standard 6: Attend to Precision
-What Symbols, Units of Measurement, and Labels Represent the Answer?
Standard 7: Look For and Make Use of Structure
-How Can I Use Patterns in Math to Solve More Complex Problems?
Standard 8: Look For and Express Regularity in Repeated Reasoning
-How Can I Make Generalizations That Can Be Applied in Future Situations?