When rewriting our scheme of work for years 7 to 11 I was conscious that there were some perennial problems I wanted to try and solve. One such problem was that of algebraic misconceptions that arise year-in, year-out. I decided that I would try to address these with what I can best describe as *prognostic practice, *which is practice that directly prepares the students for the algebraic work earlier on in the year. Here are some of the problems, and the associated practice we will do: Continue reading “Adventures in Mastery 3: Prognostic Practice”

Sir Francis Galton was a statistician in the 19th century. Thanks to him we have concepts such as correlation and standard deviation. Galton, it would seem, thought through the filter of statistics, a genius who produced hundreds of papers and books on fields as diverse as meteorology, historiometry and psychometrics and who pioneered the use of questionnaires to gather better information for his statistical analyses.

Last week, at my school’s Open Evening, we conducted a mathematical experiment based on one of Galton’s observations. Continue reading “The Wisdom of the Crowd”