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The case against teaching math

ordinary-gentlemen.com

11–20 of 51 posts

Re: The case against teaching math

#11

Can someone tell me WTF "pre-calculus" is meant to mean? AFAICT, it's just a fancy word for algebra.

Precalculus is the usual current designation in the United States for a secondary school course that includes functions and trigonometry, and perhaps also matrix algebra.

Many remedial courses in math in colleges will have the title "college algebra" while others will have the title "precalculus," with much the same content.

Re: The case against teaching math

#12
post #7

Bear with me here, I have to lay down some foundation to get to my point. Bias has a specialized definition in machine learning; in a (really thin) nutshell, it represents the set of concepts a given technique can represent. If your banana vs. ball classifier can only represent "roundness" and "yellowness", the bias will prevent it from seeing a yellow cube as anything but a banana. (If you really dig in, I find this…

I agree with you except for the last paragraph about early sex education. If you wait until people are already having sex, it's too late.

Re: The case against teaching math

#13

This is blogspam. The original article from Psychology Today was already submitted to HN. http://news.ycombinator.com/item?id=1211198 But I must acknowledge that some searches for submissions of the original article that I just tried on Google failed, although SearchYC works with enough keywords.

I don't think this sinks to the level of blogspam. The OP made a summary of the original and added his own comments. I looked at the first few entries on the home page and most of them seemed to be in this format. There is original content here and the guy writes well. To call it blogspam is (in my opinion) wrong.

Note: Wikipedia defines blogspam as "the post of a blogger who creates no-value added posts to submit them to other sites".

Re: The case against teaching math

#14

Can someone tell me WTF "pre-calculus" is meant to mean? AFAICT, it's just a fancy word for algebra.

When I took pre-calc, it was a very basic and slow build-up to integrals and derivatives, IIRC.

We had already had two classes in algebra, one in geometry, and one in functions, statistics, and trigonometry.

Re: The case against teaching math

#15
post #7

Bear with me here, I have to lay down some foundation to get to my point. Bias has a specialized definition in machine learning; in a (really thin) nutshell, it represents the set of concepts a given technique can represent. If your banana vs. ball classifier can only represent "roundness" and "yellowness", the bias will prevent it from seeing a yellow cube as anything but a banana. (If you really dig in, I find this…

Think about it; how many adults have downright childish issues with math? Childish misunderstandings, childish opinions, childish beliefs? Coincidence? Bad motivation?

Right here. I taught myself programming and I got pointers (references, same difference) within the first week I started reading about php. I enjoy learning new concepts except for math. I really want to learn math but I am so afraid of just opening a math book and not understanding anything in it. (Posttraumathematic stress disorder?)

Re: The case against teaching math

#16
post #6

This story is dead on. I know this from personal experience and from teaching my own children. I could not add until I was 10. It was painful. I still remember it vividly. Suddenly everything clicked, and I rocketed through all the material I was behind on. I have six children, five of which are old enough to be in school. We have been home schooling them, I believe I have some creds on this. Two of them (both girls)…

It sounds like you are suggesting teaching children only the things they are interested in and ready for at the time.

Compared to teaching on arbitrary set of topics at arbitrary times, you should have big gains in learning efficiency and enjoyment, since it is inefficient to spend time attempting to convey a concept the child is not ready for or is uninterested. The child will be spending a greater fraction of the time learning.

Sounds sensible to me.

Re: The case against teaching math

#17
post #16
post #6

This story is dead on. I know this from personal experience and from teaching my own children. I could not add until I was 10. It was painful. I still remember it vividly. Suddenly everything clicked, and I rocketed through all the material I was behind on. I have six children, five of which are old enough to be in school. We have been home schooling them, I believe I have some creds on this. Two of them (both girls)…

It sounds like you are suggesting teaching children only the things they are interested in and ready for at the time. Compared to teaching on arbitrary set of topics at arbitrary times, you should have big gains in learning efficiency and enjoyment, since it is inefficient to spend time attempting to convey a concept the child is not ready for or is uninterested. The child will be spending a greater fraction of the t…

As another homeschooler, there is a fine line between gauging interest and imparting self-discipline. Of course, such "hard work" looks radically different at home than it does in the classroom. It's important to teach your children that there are times when they need to focus on things that don't necessarily interest them, but, again, how this is carried out in the home would likely be more positive than a classroom setting.

That said, I agree with the parent, and the original blog post. Our older son picked up reading and writing quickly (without much prompting from us, but his younger brother is less interested in those things, but is showing greater creative ability, so we're running with that.

Re: The case against teaching math

#18

This is blogspam. The original article from Psychology Today was already submitted to HN. http://news.ycombinator.com/item?id=1211198 But I must acknowledge that some searches for submissions of the original article that I just tried on Google failed, although SearchYC works with enough keywords.

I don't think this sinks to the level of blogspam. The OP made a summary of the original and added his own comments. I looked at the first few entries on the home page and most of them seemed to be in this format. There is original content here and the guy writes well. To call it blogspam is (in my opinion) wrong. Note: Wikipedia defines blogspam as "the post of a blogger who creates no-value added posts to submit th…

I agree. And the folks at that blog don't typically do the blogspam thing, at least in my experience.

Re: The case against teaching math

#19
post #6

This story is dead on. I know this from personal experience and from teaching my own children. I could not add until I was 10. It was painful. I still remember it vividly. Suddenly everything clicked, and I rocketed through all the material I was behind on. I have six children, five of which are old enough to be in school. We have been home schooling them, I believe I have some creds on this. Two of them (both girls)…

Just adding my own experience to this: Until the age of 15, maths was considered a real "problem subject" for me. At every parent-teacher conference it was generally accepted that I would never be good at it (and I had no problem with that at all - I found the whole subject very boring and difficult).

Then one day, at age 15, a classmate showed me how to do quadratic equations. I have no idea why, but that day a really bright light suddenly switched on for me. I quickly caught up to, and then passed the abilities of everyone else in the class, and then started teaching myself calculus in my spare time. I went on to get a PhD in Pure Mathematics.

I do think I just wasn't ready for a long time.

Re: The case against teaching math

#20

Can someone tell me WTF "pre-calculus" is meant to mean? AFAICT, it's just a fancy word for algebra.

If I remember, since geometry is such a large topic, pre-calculus also teaches the parts of geometry necessary for traditional calculus study. That way, the geometry course can be made more simple.

You don't need any geometry to understand algebra. Though graphs (and therefore cartesian co-ordinates) certainly help).
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