Friedrich Froebel: interpolation, extrapolation

Fredrich Froebel was a scientist, both in instinct and training, his life coincided with an important dynamic period of scientific growth. I take this opportunity to delve into some history futurology examine the heritage legacy work. The usual interpolation is reading data: where there exist consistent trends within broad set data then reader can reasonably infer value intervening points, ‘read between dots.' Here, explore known features Froebel's read – interpret lines. Extrapolations, turn, are inferences made beyond data, surmises drawn from datum points already established. This ‘informed speculation’. In latter part paper, run seminal ideas near future, peering forward for issues science education that might plausibly have Froebelian antecedents.