Dear Lee,
Thank you very much for sharing so much with the rest of us homeschoolers! I have a question regarding carelessness. Using math as an example, my 12 yr. old son is working out of Saxon Algebra 1 currently and is understanding everything very well but gets a few wrong (2-4 on average, occasionally up to 6) due almost always to carelessness. He will work the incorrect ones over again and get them correct and truly understands what he did wrong. However, I have decided to cut him back to working only half a lesson in the hopes that he will take his time and strive for 100 percent and if he does not score a 90 percent or higher then he has to re-do the half-lesson over again until he achieves this. What are your thoughts on this?? He is definitely heading in the direction of engineering and I know how important it is for him to be careful.
Thank you for your thoughts,
Theresa
Hi Theresa,
Carelessness, especially with math, is a complicated subject. Homeschool parents want their kids to do well, understand a subject and achieve mastery. Parents want their children to learn about hard work, and the benefits of doing the job well. But there is another side to carelessness that you have to consider.
When I subtract a purchase in my checkbook, I don’t always get the answer perfectly right. Sometimes I slip up, get the answer wrong, and have to search until I find the arithmetic error so that it balances again. And yet, I really do believe I have achieved mastery over subtraction!
Mastery is different than perfection. Your child may demonstrate mastery by scoring 90% on an assignment (they may even have mastery with less than that, I suppose!) They shouldn’t be required to be “perfect” though. Now, to be honest, I did have my children correct all their math errors in their daily work. When they got it wrong, they corrected it. Like you, I was hoping that the tediousness of correcting would encourage them to be more careful in their daily work. Being careful is a good thing, right? Just don’t go from “careful” into “perfection.” Striving for perfection can cause strife, and possibly rebellion. Because we all know, intuitively, that we simply can’t be perfect.
I understand your situation, because I have a very math-engineering loving son, so here is my opinion. In your situation, I like the idea of holding him to a high standard of 90%. I like the idea of using 1/2 the problems so that he has time to be more careful. I like the idea of re-doing the problems that he misses. My only constructive suggestion is to make sure you steer clear of perfection, and strive instead for mastery. Tell your son that 90% is what you consider mastery.
I hope that helps, Theresa!
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Lisa says:
Good advice. I have my boys rework the math problems they get wrong and expect them to score at least 80% on their work. Working with them every day is a good way to determine whether they have mastered a concept or not.
March 19th, 2009 at 5:03 pm
J W says:
I have a daughter almost the same age who is definitely *not* going into engineering, but who has the same carelessness issues in math. With her, reducing the quantity of work helps tremendously. I’m sure too that she would be a lot more careless if I were still teaching her math. She was absolutely struggling a couple of years ago, and what she needed most was someone who LOVES math (my hubby) to take over her instruction. Enthusiasm is contagious, and I’m sure that helps a child stick to a task. I don’t love math. I’m sure my attitude didn’t help my daughter. Also, showing how math is relevant to her life keeps it fresh. Adjusting the work to fit to the child’s level of ability might also help cut down on carelessness. In homeschool, a child who is ready to move on to the next concept may move on immediately, and if a child needs to linger, he or she may linger. Boredom from spending too long on one concept could very well be at the root of many carelessness issues! I also think carelessness could be normal for 12 years old. I shudder when I think back to when I was that age. For me at age 12, carelessness was just that – “I couldn’t care less about this.” We want better than that for our kids! That’s where delight-based learning comes in. I’m not sure what delight-based learning looks like for math, but I’ll bet my husband does!
March 19th, 2009 at 8:57 pm
Pam says:
I was SO glad to see this! I have EXACTLY the same problem with my 12 yr old daugter. She can miss 20% daily on careless arithmetic errors, when she clearly understands the Algebra. I’m at the end of my rope. I have her finding every error and correcting them. I think I’ll try the 90% idea. Is this a 12 yr. old thing that they will outgrow
March 19th, 2009 at 11:18 pm
Lee says:
Hi Pam,
I don’t know if your daughter will outgrow it or not, but we parents have to stick together and cope somehow. This was how I coped.
And yet… I haven’t outgrown my imperfect math in my own checkbook or when I’m estimating the cost of groceries. I sometimes forget to concentrate and miss something. I don’t think adults are always perfect at math either. Although we are a bit more likely to laugh about our own math mistakes.
Just musing… I have a nephew that is a calculus teacher at high school. I’m pretty sure he isn’t perfect at math either.
Good luck, though!
Blessings,
Lee
March 20th, 2009 at 5:51 am
J W says:
Oh, Pam, that was *so* “me” at age 12/13 in pre-algebra! I’m not a math genius, but I did take math up to calculus, and got good grades thanks to my father’s tutelage. Hang in there.
My husband has always been gifted at math/logic and didn’t know this problem even existed until he started teaching my daughter
Bit of a surprise to him 
but he’s been very patient.
P.S. – I am almost completely incapable of doing mental arithmetic involving anything more than two one-digit numbers. I reverse digits and lose track of which step I’m on.
March 20th, 2009 at 8:01 am
Pam says:
Thanks, Lee and JW, for the encouraging words. She wasn’t like this when she was younger, and has always been a “Math Head”. Especially mental math. But, she also used to like keeping her room neat. Now, not so much! I’m really hoping it’s an age thing. It just feels strange that she’ll be starting geometry soon when she doesn’t care if she’s accurate with 7×8 and such. It’s oddly comforting to know that others are having similar experiences. lol!
Pam
March 22nd, 2009 at 7:28 pm
Linda says:
Good comments. I also have a 12 year old that sounds a lot like Theresa’s son. Like her, I only require half a lesson, and he always must correct his mistakes. The other thing that helps is that I now require him to show his work. He has always been good at doing the work in his head, but I believe that at the higher levels, it becomes more difficult, if not impossible. It also leads to those “careless mistakes.” Some of those careless mistakes can be avoided, or at least correctly more easily when it’s down on paper. It also helps me see what he’s thinking. Hope this helps.
October 31st, 2010 at 10:53 pm
Edjumpoff says:
This was right on time, my 12 year old is doing the same thing. He is also using Saxon and I never thought about cutting the lesson in half. I used to have them redo problems they got wrong, but realize that a lot of it is pure carelessness and stopped. I look for the mastery, if I know they have mastered a concept and just made a mistake I blow it off. However, if I see that answers are wrong involving a concept I address the situation.
November 24th, 2011 at 9:05 am