For example, when teaching spelling, you teach the true spelling of words. When teaching math, you teach how to arrive at true solutions. Science is the study of natural truth. It progresses by a logical sequence experimental observations, to hypotheses, to quantitative analysis. It is not possible to study or apply most science reliably without first knowing the language in which it is written mathematics- at least through introductory calculus.
Real science is largely problem-solving.
He has not memorized specific methods for solving particular types of problems. He has instead learned to extract information from the books by himself and then apply it to any problem that is presented. Also, of equal importance, he has learned that he is able to do this without any outside help. These are essential skills that make possible the learning of advanced scientific problem-solving. A distinction needs to be made between activities that belong in the academic day, and those that do not.