We shouldn’t just teach rules or procedures in math. Students may learn them long enough to pass a test but without conceptual understanding to link back to, few will retain the information for any length of time. This is why teachers feel the need to re-instruct yearly on topics like math facts, fractions, and formulas. We are notorious for asking, “Why didn’t they teach you this last year?” when in fact the previous teacher did teach the topic. Students need concrete and pictorial experiences before they learn procedures and it is up to us as educators to provide them with quality problems that encourage true understanding.
Just “sum”thing to think about!