“If you teach a student facts, concepts, and rules, those things go into long-term memory as individual pieces, and if a student then wishes to do something with them—use them to solve a problem, reason with them to answer a question, or organize and analyze them to come up with a theme or a hypothesis—the limitations of attention and short-term memory kick in. The student must keep all of these different, unconnected pieces in mind while working with them toward a solution. However, if this information is assimilated as part of building mental representations aimed at doing something, the individual pieces become part of an interconnected pattern that provides context and meaning to the information, making it easier to work with. As we saw in chapter 3, you don’t build mental representations by thinking about something; you build them by trying to do something, failing, revising, and trying again, over and over. When you’re done, not only have you developed an effective mental representation for the skill you were developing, but you have also absorbed a great deal of information connected with that skill.”