![]() I travelled to Japan and was so very impressed when the announcer at the train station said that the next train would be 20 seconds late. We are pleased if that happens, but still pleased if it’s 10:45 or 10:50. In the UK, the time for the arrival of a train is given precisely, for example, 10:43. I perceive these as a mass of figures, of data, which I must scan in order to find the information I want. ![]() For example, there are the ultimate inchworm creation, timetables. Much about time fits into these two styles of thinking. Estimation is a natural grasshopper skill. The ‘Grasshopper’ style is more about taking an overview, seeing the big (or whole) picture, getting a ‘ball park’ sense of an answer, using flexible approaches. The ‘Inchworm’ style is based on being precise, detailed and formulaic. What I mean by that is the way we think through maths problems and tasks. ![]() I have been writing about cognitive styles in maths for many years.
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