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In Math Cram Sessions, Solving for Why

nytimes.com

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Re: In Math Cram Sessions, Solving for Why

#81
post #52

Earlier quoted context omitted.

> As much as the Common Core standards are criticized here in California, I have to say that the emphasis on the "why" behind every operation is really fantastic. The one reason why I dislike Common Core is that this kind of explanation get quickly become tedious if you already understand what’s going on and it’s “obvious” to you. And many teachers seem to like to use this section as an excuse to waste their students…

> The one reason why I dislike Common Core is that this kind of explanation get quickly become tedious if you already understand what’s going on and it’s “obvious” to you. If that's the case, then it sounds like your child needs to be in a higher level math course. If they're already at the top, then I don't think having to explain in detail the "why" behind concepts will be a net negative for your child. Learning ho…

I don't actually have a child: I was merely basing this observation off watching my sister go through Common Core and compare to my (pre-Common Core) experience.

> If that's the case, then it sounds like your child needs to be in a higher level math course.

This isn't necessarily possible at school, and besides, even if it was, this may not be the best idea (for developmental, social, etc. reasons). Outside of school, sure–she is doing things to get ahead and learn more.

> If they're already at the top, then I don't think having to explain in detail the "why" behind concepts will be a net negative for your child.

This is exactly the group I think it's a net negative for: you're forcing them to put what they feel is "obvious" into words. This is fine once or twice, or when teaching others, but on assignments you have to do it repeatedly, and at some point you'll just give up and start writing things that are just different ways to word "because that's the next thing we have to do" to fill space.

> Just curious, have you read all the way through the Common Core math standards? Most of the people I know in technical and engineering professions who have read completely through it (and not just a single section or grade level), come out with a lot of respect for the standards.

No, I haven't, but I'm sure they're not bad. It's just that the way they ended up being implemented hasn't really impressed me, since it seems like the goals they've laid out aren't being achieved.

Re: In Math Cram Sessions, Solving for Why

#82
post #64

Earlier quoted context omitted.

How much are your services? I'm an out-of-school adult that never really grasped math but hate that I don't know more about it to this day. Just wondering what kind of range I'd be looking in to just get some explanations or something. I don't currently have any specific questions though.

Have you tried Khan Academy? It lacks all the person interaction and customization of a private tutor but they have (IMHO) really good explanations and quite good problems to solve for all math through high school.

Love their resources, but having somebody to guide you to the resources that match your deficit is the real magic imo.

Re: In Math Cram Sessions, Solving for Why

#83
post #39

Earlier quoted context omitted.

No. If you can’t multiply in your head, you are crippled in any quantitative reasoning. You have interjected too many steps in estimating, calculating, judging, etc. This is not to say there aren’t useful, non-quantitative pursuits.

I don't understand what you're saying or objecting to. Incase this is what you mean: remembering the multiplication table is the antithesis of multiplying in ones head.

No remembering the table is the ROM-table part. You need the algorithm part too.
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