Teaching the algorithm correctly
Students preparing for the carpenters union entrance exam were failing its math section. They had been taught arithmetic as procedure — steps to memorize, no reason attached — which is exactly the knowledge that collapses under exam pressure. I rebuilt the instruction from definitions, deriving every algorithm for whole numbers, fractions and decimals from what the numbers actually mean.
Pass rate moved from 40% to 80% in one cohort. The curriculum was then selected for national distribution across YouthBuild’s 270-site network. Measured at one site, one cohort to the next. Outcomes at adopting sites were never tracked — the program had no mechanism for it.