KTM User Pages
You never know when you'll want to look up a Bessel Function while reading Trout Fishing in America.
A little knowledge goes way too far.
What is knowledge? What is truth? What is understanding? What is 6 times 7?
Blah, blah, woof, woof.
Consider this the first sign of the Apocalypse.
(from Barry Garelick)
20 Jul 2005
Addition is "souped-up counting forward", and subtraction is souped-up counting backward.
-- Carolyn Johnston (why is subtraction harder than addition?)
AP Calculus is like a brick wall located in the high schools.
autism quotient quiz12 Apparently, my hatred of structure trumps my hatred of chit-chat.
- Ken DeRosa
- Doug Sundseth
blame the student
They used to call it Differentiated Instruction, but that seemed to imply some sort of responsibility on the teacher's part. Just like they used to call it an "academic ceiling", which implies a problem with the schools. Now they call it a "performance ceiling", which puts the problem and onus on the student.
Boy, if I ever send any resumes out I think I'll also send some fabulous letters of recommendations written by me. That should convince them.
Susan S on NSF Annotated Bibliography
- Jeff Hertzel
Calculus is not hard for algebra ninjas.
- Rudbeckia Hirta
Calculus is just algebra with teensy-weensy increments.
Apparently, even having your parent check your work is the Brussels sprouts of schoolwork.
I used to tell people that my son is a sponge for knowledge, but the school is feeding him with a teaspoon.
Clarke's Law: Any sufficiently advanced technology is indistinguishable from magic. (Arthur C. Clarke)
quoted by Doug Sundseth
I am still confused, but at a much higher level.
I was trying to dig up information on Investigations this weekend to assist me in connecting the boys' curriculum at school with our Singapore curriculum at home. The parent letters given out with each Investigations unit, and the game rules for each homework activity, are inadequate to explain the point of each activity. The desirable, final, procedural, and conceptual point of each activity. Lacking a Teacher's Guide, I have to rely on my Superior Reasoning Skills to figure out the point. Until January, when I may get up the courage to ask for my own copy of the Teacher's Guide, to keep. Which is probably illegal.
I can't think of a more mind-numbing way for a kid to practice reading than the Dick and Jane books. I despise them with all my being.
- teacher in Rocky Mountain News
I've quoted Steve and Ken so much I'm starting to sound like I know what I'm talking about.
- Susan S
- Robert Stacy
Filet of sole is the celery of fish.
--Catherine (I'm sorry. This has nothing to do with math. It's the one saying I've come up with in my life that I remember.)
Now, the teachers are better and they work harder for kids, especially at the lowest levels. Our average math scores are higher. This is with MathLand and no full course in algebra in eighth grade. Everything is great, right? Except for the student who finds him/herself on a math track to nowhere in high school. Game Over.
- Steve H
I had gone to [a psychologist] because I wanted to have hard IQ evidence of the math kid's giftedness in case the school wasn't going to intervene. I was also perfectly prepared to hear from him that my son was just good ole' average. Anyway, while I was introducing myself on the phone and describing my son, the psychologist asked me which parent was gifted, my husband or me. I was a bit stunned by the question so the only thing I could come back with was, "Whoever won the last argument." While we don't use labels around the house (I have never used the word "gifted" with math kid or learning disabled with my other son), my husband and I have a quiet running gag with each other. If one of us does or says something dumb, the other never misses a chance to say, "You are soooo not the gifted parent." Susan S
contributed by: Barry Garelick
Susan on Heath Algebra 1, by Lee Stiff, former head of NCTM
but it's easier to understand than anything else.
i spent one of my worst half-hours in grad school
convinced that 3*12 = 39.
It's all dorking around in the dark, and no satisfaction when you get the answer.
- Bernie Johnston on 'challenge' problems
When we were studying measurement my daughter said to me, "I know why pound is abbreviated using lb. It is because lb looks just like 16 and there are 16 ounces in a pound."
- Lone Ranger
They don't understand. When they make math fun, it's MORE BORING.
- Christopher, age 10
ref: tour de force
- Stephen Hake Saxon Math Homeschool 6/5 Third edition, page xiii
Multiplication and division are the big brothers, and addition and subtraction are the little brothers. And multiplication and division are cousins.
- Christopher, age 10
--wiredweird; Glencoe page splatter
- Charles Williams
It is possible for students to construct for themselves the mathematical practices that, historically, took several thousand years to evolve.
Cobb, P., Yackel, E. & Wood, T. (1992). A constructivist alternative to the representational view of mind in mathematics education. Journal for Research in Mathematics Education, 23, 2-33.
It's time to recognize that, for many students, real mathematical power, on the one hand, and facility with multidigit, pencil-and-paper computational algorithms, on the other, are mutually exclusive. In fact, it's time to acknowledge that continuing to teach these skills to our students is not only unnecessary, but counterproductive and downright dangerous.
- Steve Leinwand: a Steve Leinwand sampler (scroll down)
Roger Shouse, Penn State Bottom Line for Math Students: Good Teaching Is What Counts By ALAN J. BORSUK Oct. 6, 2003 Journal Sentinel
- Carolyn J
- Steve H
Spiral learning isn't over-learning, it is just repeated under-learning.
- Susan J
super math mom
Thanks to the great Liping Ma, I was Johnny-on-the-Spot Super Math Mom and was able to show in a very simplified way the two different ways you might be asked to divide.
Sometimes I just wonder where they parked their common sense.
source: "Mr. Fang had a math teacher who said 'My job is to give you three different explanations. Your job is to understand one of them,' and I think that's the right idea." Cardinal Fang
My basic message to [Ben], when he objects to doing any sort of homework (which he does frequently), has been: Too Bad, we all have to work a little bit; here's your carrot if you buckle down and get it done, and here's your stick if you don't. I figure I'm just being his frontal lobes until the day (if it ever comes) when he can use his own. Rational arguments about his future in the global technological marketplace don't seem to make much of a dent, at least not yet (I'm sure he'll thank me profusely when he's older, though).
- Carolyn J
For example, [text]books shouldn't show pictures of the sea, because desert-dwellers might not be familiar with it. By extension, textbooks probably shouldn't refer to Planet Earth since it's alien to much of the public school establishment.
the one best answer
This is classic, modern, ed school math. No problems can have only one answer. Why? Because they say so. Because they don't like the focus on getting only the one right answer. Because they think that in the Real World, there are no (or very few) one right answers. They think that having one right answer means that the kids will focus only on the answer and not the process. Second, they don't like mathematical techniques, rules, or algorithms. That is why you see them go WAY out of their way to find problems that can't be solved by traditional methods, viz. equations. They don't have a clue about M is less than N, M equals N, and M is greater than N type problems. They don't understand that in the Real World, the goal is one best answer. This could involve creating a merit function or using some statistical least squares technique. This doesn't include Guess and Check where any old solution is good enough.
- Steve H on multiple answer math
- John von Neumann
Wrestling relaxes me when I have stress.
- Christopher Berenson
Roller Derby was my favorite at 13, because it was violent, hokey and fake.
- Ben Calvin
A B C D E F G H I J K L M N O P Q R S T U V W A Y Z
-- CatherineJohnson - 20 Jul 2005 KtmGuest (password: guest) when prompted.
Please consider registering as a regular user.
Look here for syntax help.
When we were studying measurement my daughter said to me, "I know why pound is abbreviated using lb. It is because lb looks just like 16 and there are 16 ounces in a pound." -- LoneRanger - 23 Jul 2005
WOW! That kid is a smartie! -- CarolynJohnston - 23 Jul 2005
"It is because lb looks just like 16 and there are 16 ounces in a pound." What a great mnemonic device! Gotta remember that one. Now I need a mnemonic device to remember to remember. A bit of wit I like a lot is to exclaim after a mathematical explanation of some tricky problem: I am still confused, but at a much higher level. Instructivist -- KtmGuest - 25 Jul 2005
Teacher: Suppose x is the number of sheep. Student: But suppose x is not the number of sheep? Old joke reprinted in G. H. Hardy's "A Mathematician's Miscellany". Hardy comments about the joke: "I asked Prof. Wittgenstein were this not a profound philosophical joke and he said it was." -- BarryGarelick - 17 Sep 2005