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