No getting around it, we learn by sensing and doing. This requires liberal doses of time, frustration, variation, imagination, refinement, experimentation, curiosity, and practice, practice, practice. If leeway for such a program is not built into our schools, then we fall back on rote learning to be fed back on the test.

Better, we let students pose their own answers, and wrestle with working them through, making a great many errors along the way. Those errors will be their own errors, which they will learn to correct in short order.

Education based on trial and error is far better than learning to mimic a paradigm from the outset. How would you go about solving this problem? How do you see this situation? What options can you think of for ways to move ahead? Which option is the fastest? Cheapest? Most enjoyable? Easiest? Hardest? In the long/short run, best?

The role of education is to unleash the promise with which each child is born to this and future worlds, not to shape that promise to the desires of a select group of strangers driven by self-serving interests.