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Table 4 Mathematical standards for mathematical practice

From: A conceptual framework for integrated STEM education

Make sense of the problem and persevere in solving them. Mathematically proficient students explain the meaning of a problem and looks for solution entry points.  
Reason abstractly and quantitatively. Mathematically proficient students are able to decontextualize—create abstractions of a situation and represent it as symbols and manipulate.  
Construct viable arguments and critique the reasoning of others.  
Model with Mathematics.  
Appropriate tools strategically.  
Attend to precision.  
Look for and make use of structure.  
Look for and express regularity in repeated reasoning.  
  1. Common Core State Standards for Mathematics, p 6–8