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What does “mathematically promising” look like?

Mathematical frame of mind

 Loves exploring patterns/puzzles, sees math in variety of situations,  organizes/categorizes information, has deep understanding of math  concepts, number sense

Mathematical formalization and generalization   Generalizes the structure of a problem, uses proportional reasoning,   thinks logically/symbolically with quantitative/spatial relations,   develops proofs//convincing arguments

Mathematical creativity   Process flexibly, switches from computation to visual to symbolic to   graphic expressions in problem-solving, reverses process/train of   thought, solves problems in unique ways, can clearly explain reasoning

Mathematical curiosity and perseverance

  Curious-asks “why/what if”, has energy and persistence in solving   difficult problems, digs beyond the surface of a problem, continues  

  to explore after problem is solved

Useful, but not necessary:  speed, accuracy with computation, memory for formulas/facts, spatial ability

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