• Quick note - the problem with Youtube videos not embedding on the forum appears to have been fixed, thanks to ZiprHead. If you do still see problems let me know.

Pre Alegebra Boot Camp

I don't understand "pre-algebra" either. Why not just start with equality and beginning algebra? My first algebra class got the primary concept down in about a week or less. How hard is it to explain "a=2" to an eighth grader?
 
I don't understand "pre-algebra" either. Why not just start with equality and beginning algebra? My first algebra class got the primary concept down in about a week or less. How hard is it to explain "a=2" to an eighth grader?
There is a resistance. I don't know exactly why. Textbooks I've used recently do tend to begin with the equality property and a few other properties that are needed as a foundation.

If you haven't been in a school lately you might not be aware that textbooks, at least in the places I've worked, do not exist. There might be a few leftover texts on the classroom shelf. In "Stand and Deliver," the actor Edward James Olmos, channeling famed math teacher Jaime Escalante, began his illustrious career by having students turn to a certain page in a textbook. Astonishingly, IMO, there are no class sets of textbooks, let alone a textbook for each student. Teachers then spend a lot of time reinventing the wheel.

The temptation is to try to cram knowledge into their heads efficiently - boot camp! - but it doesn't work that way with many students. They need to be doing math, not listening to explanations (though sometimes explanations are needed). It's a balancing act.

The Saxon textbooks for lower grades gave lessons in chunks the size of an index card with everything after that being practice, including reference, with page numbers, to earlier lessons. The high school algebra textbooks I have are so graphically busy (boxes, hints, fake highlighting, blurbs about famous mathematicians, photos etc.) that it's hard to focus on the kernel of knowledge leading into that day's practice.
 
I used to be a professional tutor in several subjects, including math, at the local campus of the state vocational-technical college. I've also tutored privately in several subjects from time to time.

I have to say that, in my experience, there are some people who, for whatever reason, are simply hopeless at any kind of abstract math. I've felt bad watching students beat their heads against basic algebra, or even pre-algebra, while feeling quite certain that I couldn't get them to pass even if both of our lives depended on it. :(

I'm not sure what the answer is for people like that; if they're in a program that clearly requires some level of mathematical education, they should probably be encouraged to try something else. But if it's something like nursing, where they'll probably never use algebra, that's a tougher question.
 
There is a resistance. I don't know exactly why. Textbooks I've used recently do tend to begin with the equality property and a few other properties that are needed as a foundation.

If you haven't been in a school lately you might not be aware that textbooks, at least in the places I've worked, do not exist. There might be a few leftover texts on the classroom shelf. In "Stand and Deliver," the actor Edward James Olmos, channeling famed math teacher Jaime Escalante, began his illustrious career by having students turn to a certain page in a textbook. Astonishingly, IMO, there are no class sets of textbooks, let alone a textbook for each student. Teachers then spend a lot of time reinventing the wheel.

The temptation is to try to cram knowledge into their heads efficiently - boot camp! - but it doesn't work that way with many students. They need to be doing math, not listening to explanations (though sometimes explanations are needed). It's a balancing act.

The Saxon textbooks for lower grades gave lessons in chunks the size of an index card with everything after that being practice, including reference, with page numbers, to earlier lessons. The high school algebra textbooks I have are so graphically busy (boxes, hints, fake highlighting, blurbs about famous mathematicians, photos etc.) that it's hard to focus on the kernel of knowledge leading into that day's practice.

In school, I liked textbooks that had such extras as it was informational and less boring than watching the teacher demonstrating the working out of problem types. Also, I could spend my time gained by getting the assigned done quickly after which I could deface the books by altering pictures and texts in amusing and interesting ways. Half of one year my American history book got Martian War machines (the tripod version) popping up in all sorts of places, at least one sub torpedoing targets on the Potomac, a flying saucer crashed into the Capitol building (I trust we all know which movie that was.....) and many others. That was also the year we had to read Silas Marner (it was in the lit book) in which I just added one very like the print in the rest of the story letter to the phrase " .....eating his Christmas meat."
I do all the courtesy of assuming you know which letter.
 
In school, I liked textbooks that had such extras as it was informational and less boring than watching the teacher demonstrating the working out of problem types.
Remember the torture of understanding something perfectly well, while listening to the teacher go over 10 examples?

That was also the year we had to read Silas Marner (it was in the lit book) in which I just added one very like the print in the rest of the story letter to the phrase " .....eating his Christmas meat."
I do all the courtesy of assuming you know which letter.
I hope no one had to use that textbook after you ... and had to read out loud!

Now here is something I'm seriously conflicted on: Making kids read out loud. It's obviously torture for some students and as I recall from being a student it was painful to listen to as well.

About 40 years after the fact I finally understood what "Dick and Jane" was actually for. There was an ideological battle between phonics- and non-phonics-based reading. You were supposed to learn "sight words" and not rely on phonics. See. Spot. Run.

In education reform they often throw out the baby and keep the bathwater.
 
I mentioned in my thread in FC (coincidentally on PEMDAS homework for my kid a couple of nights ago)...

I had to look this up, but was halfway there by context...

It was BODMAS when I went to school.

(Brackets, Orders, Division, Multiplication, Addition, Subtraction)

I wonder why Division and Multiplication have been reversed?

PEDMAS sounds like every church service I've ever attended, maybe that was why (negative connotations)...
 
I had to look this up, but was halfway there by context...

It was BODMAS when I went to school.

(Brackets, Orders, Division, Multiplication, Addition, Subtraction)

I wonder why Division and Multiplication have been reversed?

PEDMAS sounds like every church service I've ever attended, maybe that was why (negative connotations)...

In a running statement I think it doesn't matter (if not bracketed) if you perform the multiplication or division first. You probably had a similar reason for BODMAS... Bomdas definitely sounds like the results of a kegger. Bodmas, not so bad, comparably.

ETA: Wait, that makes no sense. Of course there's s difference.
 
Last edited:
I wonder why Division and Multiplication have been reversed?

I don't think it's intended to be read that way. I often stress to my students that you should think of the order as PE(MD)(AS) (or BO(DM)(AS)) since division is just special multiplication (by a reciprocal) and subtraction is just special addition (of a negative). So (M and D) have the same level of precedence, as do (A and S)--which letter of the pair is listed first is purely incidental.
 
"Outside of box" maybe a bit too much, but I use algebra (and I always sucked at math) in programming.

In fact I learned more about math writing programs than I ever did in school (and I was still in high school at the time). I hated school though, maybe this kid doesn't.

With programming you build an equation and actually see results on the screen. Say in a simple game. You can adjust variable values and see them applied - how they actually work together and do something.

It's very satisfying seeing something like that on screen in any form rather than a teacher just saying, "that is correct". You understand why it is or isn't correct.

That may be beyond what either of you can do but it's just a thought.
 
Last edited:
Khan Academy is free, online and works from K-12 plus a bit in most subjects. I strongly suggest it: https://www.khanacademy.org/

and, no, it really is free and I have seen no info that it sneaks your data for advertising or related.........
I've seen a couple of interviews with Sal Khan and he appears to have a genuinely altruistic motive.
 

Back
Top Bottom