Skills of inquiring mind .... as defined by a maths teacher Habits of mind 1. Pattern Sniff A. On the lookout for patterns “Ok. We’ve been working on this staircase problem and it seems that you can’t write perfect squares as a sum of consecutive whole numbers.” B. On the lookout for shortcuts “It would be nice if there were a faster way to do 57x34 than adding 57 to itself 34 times. Think we can find a way?” 2. Experiment, Guess and Conjecture A. Can begin to work on a problem independently “I’m not sure how to solve this problem, but I’m confident I can make some progress.” B. Estimates “Without doing any calculations, I’m guessing that it will take him 30 seconds to walk up the down escalator.” C. Conjectures “Based on my work, I think the following is true.” D. Healthy skepticism of experimental results “Boy, it sure seems like this 4, 2, 1 thing always repeats but we don’t have a proof yet.” E. Determines lower and upper bounds “I know ...