Abstract

Mathematical reasoning and sense making are critical aspects of learning and doing math. “People who reason and think analytically tend to note patterns, structure, or regularities in both real-world situations and symbolic objects; they ask if those patterns are accidental or if they occur for a reason; and they conjecture and prove. Reasoning mathematically is a habit of mind, and like all habits, it must be developed through consistent use in many contexts” (Principles and Standards for School Mathematics, p. 56).

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