NewYorkGiantsFans - Giants News Line

Math Education: A response to "An Inconvenient Truth" Part1



Uploaded by: jamesblackburnlynch
Video Description:
I saw a video on youtube called "Math Education: An Inconvenient Truth" and felt like it needed a response from someone whose career is in math education. This is the perspective of one college professor.
And about the "standard algorithm" for multiplication where we write:
16
32
___
Etc. A little thought leads to the realization that this really is just 32*16=(30+2)*16=30*16+2*16. Hence the "standard algorithm" is identical with this method of multiplication.
Oh, and interestingly, the "standard algorithm" isn't really standard after all. Talk to folks from other countries sometime and ask them to multiply and divide for you. Their algorithm may be quite different seeming from yours. In fact, of course, it's all really the same because mulitplication is truly only one well-defined operation. How you arrive at the answer may appear different, but in the end, at root, they are all the same.


Tags for this video: culture education Math USA

Find more videos in the "People" category
See more videos uploaded by jamesblackburnlynch

Related Videos
Math Education: A response to "An Inconvenient Truth" Part2The Real Inconvenient TruthRe: Math Education: An Inconvenient Truth
math-education-a-response-to-an-inconvenient-truth-part2.htmlmath-education-a-response-to-an-inconvenient-truth-part2.htmlmath-education-a-response-to-an-inconvenient-truth-part2.html
Behind the Scenes of An Inconvenient TruthAl Gore: An Inconvenient StoryMath Education: A University View
math-education-a-response-to-an-inconvenient-truth-part2.htmlmath-education-a-response-to-an-inconvenient-truth-part2.htmlmath-education-a-response-to-an-inconvenient-truth-part2.html


Share This Video:       StumbleUpon       del.icio.us       Reddit       digg       Furl       Spurl       Simpy       YahooMyWeb


Comments for this video: Show || Hide
Comments for this video on YouTube
Slide rules are ... ( 3 weeks ago by jamesblackburnlynch)
Slide rules are before my time. I know they have something to do with logs, but I can't figure out how to use them at all. I do have one.
Jack goes to ... ( 2 weeks ago by mulattoraver)
Jack goes to Walmart and notices that peanuts are on sale. He can get a 250 gram bag for 3.99 or two 200 gram bags for 4.99.
Which sale price will give you more peanuts for 1$?
I think that's why children should learn to do math. It helps you shop and otherwise live your daily life. I say, keep the higher thinking for AFTER the kids can do their times tables. What's the point of having this discussion unless you first have the basics. Imagine talking linguistics without teaching the ABCs.
Grams? Wow, that's ... ( 2 weeks ago by jamesblackburnlynch)
Grams? Wow, that's gonna knock the kids (and college students) for a loop. It sure would be nice if they could do that.
This is exactly what the reform is about. When you go to Wal-Mart and the kid behind the cash register can't understand how to make change, it's not because they haven't memorized their multiplication tables. It's that they haven't a clue how to understand the question.
I'd be happy if our students could solve your problem. But they can't. We need more of those.
I watched both ... ( 1 week ago by EyebreathH20)
I watched both videos, and I must say I agree with both. I don't like the idea of textbooks teaching calculator reliance, as it completely leaves out understanding. Good vid
By fifth grade, I ... ( 1 week ago by JesusWey)
By fifth grade, I could do long division and 4-5 digit multiplication. My father taught me all these because that's the way he was taught back in our country. To this day I have always been good at math. People can't do 20*6 without a calculator and it's just sad. We shouldn't reply on Calculators. In conclusion, I disagree with you.
After reading the ... ( 1 week ago by allafleche)
After reading the thread i would say that : your vision is good if students already mastered the operation, yes. But in reality they just can't so it's pointless.
Fundamentals first then understanding. It's the exact same process when teaching windsurfing for example (personnal experience :)), you start by applying simple rules, once you mastered them you can start explaining a lot more and it gets good. (sorry for my english it's not my natural language)
They can and they ... ( 1 week ago by jamesblackburnlynch)
They can and they do.
And I agree that it's all gradual. You don't explain to 8 year-olds the concept of polynomial multiplication. Just mulitplication. Then you use examples and build on those to step up to the next level of difficulty. Just like windsurfing (or tennis, in my case).
As I've said ... ( 1 week ago by jamesblackburnlynch)
As I've said countless times, I don't think we should allow students to use calculators. I don't know what you're disagreeing with, but it's not with what I said.
Also, I almost never run into students who can't multiply 20*6. They can all handle that. They still can't do math to save their lives often. Memorizing multipication tables is not learning math. Not much anyway.
my school allows ... ( 6 days ago by k0j03)
my school allows calculators if you can provide a 85% grade average or higher.
On tests there not allowed.
That sounds pretty ... ( 6 days ago by jamesblackburnlynch)
That sounds pretty reasonable, especially no calculators on tests. 85% is somewhat arbitrary, but I guess anything would be.
Array ( 4 days ago by Iatheia)
It's sad...
I see a lot of foreigners reply to this video, so let me be a part of them.
Somehow, it seems that this problem exists only in America. Other countries seem to be able to teach math to the kids. They teach them the most efficient "standard" method, without any other "creative" ways. And then they teach applications for those methods. They show proofs why this works one way or the other. They help students to understand math on fundamental level, with the help of the equations.
But somewhy, in ... ( 4 days ago by Iatheia)
But somewhy, in America, teachers refuse to do that. To be able to understand what is multiplication and how it works by 5th grade... Isn't it a bit late? You have to challenge yourself to gain understanding, and that is not challenging. And after that things don't pick up, either.
I have tutored an 8th grader, one who was on top of his class. He asked me to check up his homework. I was shocked to see what he was studying. Equations with one variable. It doesn't even get lower than that.
MJ was saying that ... ( 4 days ago by jamesblackburnlynch)
MJ was saying that students should have mastered multiplication by the 5th grade. They do encounter it earlier in The States. Do they get it? That's a different question.
I was just talking with two of my Vietnamese students about this. You make it sound like this is just a question of teachers. It isn't. It's a huge issue that involves teachers, curriculum, parents, students, and culture.
Are you here? If so, you know that a large part is American students don't work as hard as you.
So, when I tried to ... ( 4 days ago by Iatheia)
So, when I tried to probe deeper make him do something (even though he protested, saying that he already knows and understands everything) I have him an equation of the following format ax+b=cx+b. He wasn't able to do it. He was fixed on format ax+b=c, and refused to do anything else because they "don't need to learn anything outside the taught course"
It is sad, very sad, because kids don't want to learn anything, and adults don't force them to do it.
I don't blame the ... ( 4 days ago by Iatheia)
I don't blame the teachers, I blame the system. The system that taught many of those teachers, too, so they may not know better. Also, I blame parents who would file a complaint becuase teachers would try to teach the students.
I'm 17, and I'm a freshman at University of Toledo. It's a bit weird, though, that I would be able to complete a degree in Math in just two years.
I teach middle ... ( 2 days ago by lyykemath)
I teach middle school math in Pakistan and totally agree with the presenter of the video. We have a curriculum based on the applications of maths and sometimes I feel that the word problems just confuse the children way too much and they don't get to do any drills to practice the concepts they've learnt. A combo of the the two would be a better fit i.e. drills + applications.
Memorization of ... ( 2 days ago by lyykemath)
Memorization of tables I feel, is extremely important for quick mental math and finding 'accurate' answers through standard algorithms. It's depressing for me to see that if I ask "what is 9 x 8" and the kid takes like 2 minutes to answer, after going 9x1, 9x2, 9x3...so on. So memorization of tables helps in EVERY calculation you'd come across in doing fractions, decimals, whole numbers etc etc.
That's an excellent ... ( 2 days ago by jamesblackburnlynch)
That's an excellent example of what I see too. ax+b=c is some formula that is memorized and how to handle it, and only it, is taught. Well...of course, more is taught, but that is all that is understood. Throw in any "complication" and now it's a different problem. Of course, it isn't at all, but if you don't understand the ideas, every new thing is totally different because you now have to memorize something else that doesn't make any sense.
I agree that you ... ( 1 day ago by john30340)
I agree that you must teach critical thinking skills.... BUT... people must have basic skills BEFORE they are capable of reasoning. Without proper basic skills it is impossible to examine concepts without getting bogged down because you have to go "analyze" things insead of just using them. Teach the skills FIRST then concepts. I think Programming should be a basic skill too - see my video, just search on RobotBASIC for Education
Oh, then we ... ( 1 day ago by jamesblackburnlynch)
Oh, then we disagree there. Students here have been memorizing (or failing to) the basics for a long time. And, to me, the upshot has been they have come to the conclusion that mathematics is just that...memorization of a series of formulas. It's nice to say that once they know the basics they can learn the theory, but it's simply not true for lots of students. They've been trained not to think in math. We can't just expect them to do it when we taught them otherwise.
Hi! I'm from Brazil ... ( 8 hours ago by ChronosFiltro)
Hi! I'm from Brazil and I have to say that this memorizing problem affects us too...
I'm just gonna tell something that happened to me. I was teaching some 8th grade students how to solve some equations , and I got to this: 2=x . Then I said that we already had the solution to our problem, but one student said that it was wrong because the X was on the right side of the equation and that's how his last teacher taught him....
I don't think I have to say anything else...
Yep. That "equals" ... ( 8 hours ago by jamesblackburnlynch)
Yep. That "equals" goes both ways can be shocking. x2=4 can be equally disconcerting. It's weird how conventions gain meanings that aren't intended.
listen, when I talk ... ( 40 minutes ago by lyykemath)
listen, when I talk of memorizing stuff, I'm talking more of tables because in order for a student to be quick/accurate in math, he needs to arrive at 9x8 in 2 or 3 seconds, not recite the whole table and take half an hour.
as far as 2=x is concerned, it's the fault of the teacher for teaching them that x has to be on the left side and many textbooks also have that written which is sad.
in my school I keep ... ( 37 minutes ago by lyykemath)
in my school I keep arguing with administrators that half the topics need to be taken out which are irrelevant to their future learning but then again, not many schools give the teachers the option of including/excluding topics...at least in the 3rd world! I don't think that option is present much either in US since state boards control the curricula? am I right?



Tell a friend:


URL 
Embed Code 


._._._._._._._._
We effectively market using TrafficBigDog - Effective Internet Marketing Services