Array Grid Architect

About Array Grid Architect

Array Grid Architect stacks each array against its mirror: three rows of four sits directly above four rows of three, and the child places the product for both. Seeing the same answer appear twice, in row after row, presents commutativity as something observed rather than something announced, and that difference matters. Told as a rule, the order does not matter is one more thing to remember and to doubt. Discovered by placing the same number twice, it becomes obvious, and an obvious fact halves the number of times-table facts a child has to learn — thirty-six pairs instead of seventy-two, which is the single largest saving available anywhere in the multiplication curriculum. Square arrays are excluded from the game entirely, because a five by five read either way is identical and therefore demonstrates nothing at all; every pair uses two different dimensions so the mirror is always visibly a different arrangement with the same answer. One array appears at the lower levels and two from the fourth, with factors growing up to twelve so the game keeps working as a child moves through their tables. Products are placed from a short palette, everything is operable by tap or keyboard, every cell is announced to screen readers with its position, and a wrong placement flashes and can be replaced with nothing lost. This game sits alongside our Array Builder Garden for younger children, which builds the picture rather than reading it. Free, no sign-up, no advertising to children.