I don’t see as much disagreement between us as you might be thinking. Precisely because I agree with your numbered points 1 and 2, I suggested it could be beneficial to compress most of our 12 years of math instruction down to a more intensive 2-3 years. That doesn’t mean we couldn’t instill useful basic arithmetic in lower grades. If we chose a smaller set of core basics, it could be quite practical to retain them over long summers and breaks—at least for the students who stay in our system for the long haul.
I’m also glad you brought up the fact that spaced repetition doesn’t have to involve software. I should have done more to remind readers of this. I weave the spacing and testing effects into the fabric of my course in many ways that have nothing to do with software.
Carefully engineered homework assignments are great if you have motivated students. Take-home SRS could even work for that. Those students are usually fine, though. It’s the apathetic middle I have to fight for, and they won’t do homework regardless of how I try to incentivize it.
Moreover, I don’t feel good about assigning to students who would hate to do it. School is already prison for those kids. I don’t want to send prison home with them. As both a child and a parent, I have been too familiar with the toxic effects homework—especially math homework—can have on family relationships. Let kids have a light at the end of the daily tunnel, I say.
Is homework vital to a successful math program? I don’t know. But I’m glad I don’t teach math.
I don’t see as much disagreement between us as you might be thinking. Precisely because I agree with your numbered points 1 and 2, I suggested it could be beneficial to compress most of our 12 years of math instruction down to a more intensive 2-3 years. That doesn’t mean we couldn’t instill useful basic arithmetic in lower grades. If we chose a smaller set of core basics, it could be quite practical to retain them over long summers and breaks—at least for the students who stay in our system for the long haul.
I’m also glad you brought up the fact that spaced repetition doesn’t have to involve software. I should have done more to remind readers of this. I weave the spacing and testing effects into the fabric of my course in many ways that have nothing to do with software.
Carefully engineered homework assignments are great if you have motivated students. Take-home SRS could even work for that. Those students are usually fine, though. It’s the apathetic middle I have to fight for, and they won’t do homework regardless of how I try to incentivize it.
Moreover, I don’t feel good about assigning to students who would hate to do it. School is already prison for those kids. I don’t want to send prison home with them. As both a child and a parent, I have been too familiar with the toxic effects homework—especially math homework—can have on family relationships. Let kids have a light at the end of the daily tunnel, I say.
Is homework vital to a successful math program? I don’t know. But I’m glad I don’t teach math.