kitchen table math, the sequel: "the secret to raising smart kids"

Friday, January 4, 2008

"the secret to raising smart kids"

I can't even keep up with all the links and book recommendations palisdesk & Liz Ditz have left! (Am currently searching for their posts on motivation. How is it that I have distinct memories of having recorded the URLs in my Scrivener program -- not only of recording the URLs, but of checking repeatedly to make sure I had recorded the URLs? If there's the faintest chance that my Scrivener program has gone buggy on me, that could be a very bad thing.)

When he was not quite into his teens, John Mighton Vic 7T8 read his older sister’s psychology textbook on gifted children and came to a crushing conclusion: his chances of being a genius were slim to none. He just didn’t have the spontaneous brilliance and long list of natural abilities apparently required of whiz kids. He was a child who read widely, voraciously and beyond his age range. He had believed that one day he would travel in time and write great literature. Yet this harsh encounter with the prevailing authorities on intelligence changed him, and it was years before he fully regained his confidence as a student. Fortunately, in the last two decades the playwright, mathematician, educator, social activist and philosopher has more than made up for any lost time.

Mighton says he was an “erratic student” right into his early undergraduate years at Vic. “I think I was subconsciously afraid of meeting my limitations, so sometimes I wouldn’t work very hard or would give up on things. I thought if you ever had to struggle at something you just didn’t have it in you.” His intellectual interests always ran deep and wide, however, covering everything from drama to science fiction. Studying philosophy at Vic seemed like the best choice, he says, because it allowed him to explore fundamental questions that sprung up in all his pursuits. Even so, he only began to get serious about his studies towards the end of his degree, thanks to what he calls “phenomenal professors” who engaged and challenged him.

While completing an MA in philosophy at McMaster University, Mighton read another book that changed his life – this time for the better. It was the collected letters of Sylvia Plath to her mother. “After reading her letters I realized that she taught herself to be a writer by sheer determination,” he says. “Nobody had ever told me that you could actually learn a craft, so it came as a real revelation.”

[snip]

But it wasn’t until after he had succeeded in playwriting that he felt ready to pursue his lifelong fascination with mathematics. His first step into the discipline was answering an ad seeking math tutors. He landed the job and was soon teaching himself long-forgotten math concepts the night before he had to teach them to his students. Many of the kids he tutored were far behind grade level and barely understood basic concepts when they arrived, but his careful instruction and consistent encouragement produced dramatic changes in their performance. He saw it as further proof that, instead of being innate and unchangeable, intelligence and ability are quite plastic.

The excitement of this discovery led Mighton to establish a not-for-profit organization called JUMP (Junior Undiscovered Math Prodigies) in 1998.

[snip]

At its core, JUMP is about demystifying math and rebuilding confidence in kids. Mighton says the majority of JUMP students have been told, explicitly or implicitly, that they will never be good at math, and they have come to believe it. This, he says, is the dangerous power of the Myth of Ability. “JUMP starts by breaking down very basic concepts and giving kids lots of praise for the simplest accomplishments, because many of them have had their spirits broken by the system and need a sustained period of success. Children are naturally passionate about learning if you don’t make them feel awful and if they think they are meeting challenges.” Many JUMP students move up into academic streams at school and several have gone on to graduate studies. One even did a doctoral degree in math.


I have his book, but haven't read it (may have to move it up to the top of the heap). What I loved about Mighton, back when I first heard about him on the old site, is that he starts with fractions.

I like a math tutor with chops (homage to Carolyn).

and.... an aside: reading your big sister's psych textbook and concluding you're not a genius and can't be a writer strikes me as just the kind of boneheaded thing a gifted kid would do.

I say that with affection.


Carole Dweck on raising smart kids

I first began to investigate the underpinnings of human motivation—and how people persevere after setbacks—as a psychology graduate student at Yale University in the 1960s. Animal experiments by psychologists Martin Seligman, Steven Maier and Richard Solomon of the University of Pennsylvania had shown that after repeated failures, most animals conclude that a situation is hopeless and beyond their control. After such an experience, the researchers found, an animal often remains passive even when it can affect change—a state they called learned helplessness.

People can learn to be helpless, too, but not everyone reacts to setbacks this way. I wondered: Why do some students give up when they encounter difficulty, whereas others who are no more skilled continue to strive and learn? One answer, I soon discovered, lay in people’s beliefs about why they had failed.

In particular, attributing poor performance to a lack of ability depresses motivation more than does the belief that lack of effort is to blame. In 1972, when I taught a group of elementary and middle school children who displayed helpless behavior in school that a lack of effort (rather than lack of ability) led to their mistakes on math problems, the kids learned to keep trying when the problems got tough. They also solved many of the problems even in the face of difficulty. Another group of helpless children who were simply rewarded for their success on easy problems did not improve their ability to solve hard math problems. These experiments were an early indication that a focus on effort can help resolve helplessness and engender success.

[snip]

Several years later I developed a broader theory of what separates the two general classes of learners—helpless versus mastery-oriented. I realized that these different types of students not only explain their failures differently, but they also hold different “theories” of intelligence. The helpless ones believe that intelligence is a fixed trait: you have only a certain amount, and that’s that. I call this a “fixed mind-set.” Mistakes crack their self-confidence because they attribute errors to a lack of ability, which they feel powerless to change. They avoid challenges because challenges make mistakes more likely and looking smart less so. Like Jonathan, such children shun effort in the belief that having to work hard means they are dumb.

The mastery-oriented children, on the other hand, think intelligence is malleable and can be developed through education and hard work. They want to learn above all else. After all, if you believe that you can expand your intellectual skills, you want to do just that. Because slipups stem from a lack of effort, not ability, they can be remedied by more effort. Challenges are energizing rather than intimidating; they offer opportunities to learn. Students with such a growth mind-set, we predicted, were destined for greater academic success and were quite likely to outperform their counterparts.

[snip]

How do we transmit a growth mind-set to our children? One way is by telling stories about achievements that result from hard work. For instance, talking about math geniuses who were more or less born that way puts students in a fixed mind-set, but descriptions of great mathematicians who fell in love with math and developed amazing skills engenders a growth mind-set, our studies have shown. People also communicate mind-sets through praise. Although many, if not most, parents believe that they should build up a child by telling him or her how brilliant and talented he or she is, our research suggests that this is misguided.

In studies involving several hundred fifth graders published in 1998, for example, Columbia psychologist Claudia M. Mueller and I gave children questions from a nonverbal IQ test. After the first 10 problems, on which most children did fairly well, we praised them. We praised some of them for their intelligence: “Wow … that’s a really good score. You must be smart at this.” We commended others for their effort: “Wow … that’s a really good score. You must have worked really hard.”

We found that intelligence praise encouraged a fixed mind-set more often than did pats on the back for effort. Those congratulated for their intelligence, for example, shied away from a challenging assignment—they wanted an easy one instead—far more often than the kids applauded for their effort. (Most of those lauded for their hard work wanted the difficult problem set from which they would learn.) When we gave everyone hard problems anyway, those praised for being smart became discouraged, doubting their ability. And their scores, even on an easier problem set we gave them afterward, declined as compared with their previous results on equivalent problems. In contrast, students praised for their effort did not lose confidence when faced with the harder questions, and their performance improved markedly on the easier problems that followed.

My neighbor says psychologists used to believe that the most functional worldview was for a person to blame his failures on factors outside his control while taking credit for success. I'd forgotten that, but now that she's reminded me I believe I do recall Martin Seligman making this argument.

Given that context, Dweck's research is quite radical. She's saying it's just as bad to attribute your successes to innate ability as it is to blame your failures to lack of innate ability. You don't want to go around thinking you're smarter than everyone else.

I believe this absolutely. I was raised on a Midwest farmer ethic of hard work and no bragging; it was so out of bounds to be special in any way that we kids were directly told we weren't special on more than one occasion. We were expected to be hardworking, fun-loving, and uncomplaining.

That upbringing has stood me in good stead for lo these many years.


bonus points

homework and intelligence at 11D (thank you to Amy Pruss)

and

Practice Makes Perfect on the Blackboard (pdf file)

14 comments:

Catherine Johnson said...

The one thing that slightly troubles me about Dweck's work is that she's still focusing on "being smart."

An internal state, not a behavior that can be measured and judged by oneself.

I'm going to guess that a "do your best" upbringing would trump a "brain is a muscle" upbringing.

concernedCTparent said...

This is an ongoing conversation in our household. My children are fortunate to have above average cognitive abilities as well as an environment that is rich in discussion, reading material and intellectual resources. I know for certain that my eldest daughter is gifted and suspect the younger two may be as well.

Nevertheless, I cannot tell you how many times I remind them that it's all about the work ethic, not giving up, and doing your best. It's much too easy for them to coast through life at this point because school is easy and life is good.

One day it won't be such a cake-walk and they need to be prepared to work through challenges whether they be academic, social or just some random obstacle life puts in their way.

I believe, perhaps to a fanatical degree, that over time the child who is a hard worker of average intelligence will outpace a child who is above average or even brilliant who doesn't put in the effort.

Best effort and fortitude win out most every time.

PaulaV said...

ConcernedCTparent,

I am right there with you on the countless work ethic discussions. My husband and I are constantly telling our sons that it is persistence that counts in the long run. Our fourth grader gets this glazed look over his eyes as if to say here they go again, but he listens. I think.

SteveH said...

I've told my son that there is nothing worse than a high potential low achiever.

Catherine Johnson said...

Best effort and fortitude win out most every time.

boy, that's for sure

my mom spent my whole childhood telling me cautionary tales about super-smart people who couldn't function in the world

of course, she was talking about more than achievement; she was talking about social functioning

basically, she was talking about my dad who I'm sure had (and has) Asperger syndrome! he had a tough time of it, which I won't go into apart from saying that he became a farmer because his dad had bought farm land and my dad ended up farming it

(he did extremely well in his farming business. those IQ points do come in handy no matter how much trouble you have with small talk)

so...uh...her message was emotionally complicated...

somehow, though, the core message that hard work trumps IQ came through

Catherine Johnson said...

Our fourth grader gets this glazed look over his eyes as if to say here they go again, but he listens.

spaced repetition!

Catherine Johnson said...

I think C. may be finally assimilating this message -- thanks, in part, to his math teacher this year. We're going to have to send that guy MONEY and ROSES at the end of the year.

Last night C. said, "Well, the good thing about math is you can always get better."

BEAUTIFUL

That made me so happy.

One of the few bright spots in the misery of our middle school experience will (probably) be that C. will emerge from it with the sense that one can persevere in the face of constant criticism and discouragement.

Speaking of constant criticism and discouragement, some of you will recall that Ms. K. punched in the Canned Comment "Finds subject matter difficult" on one of C's final report cards. We asked the principal to remove the remark; he ignored us.

The earth science teacher - another young, newly tenured teacher - just punched in "Inferential thinking needs improvement" from the Comment Bank.

The union contract specifies no parent-teacher comments; instead our kids get pre-written essentializing insults from the Comment Bank.

Catherine Johnson said...

5 more months and we're out

concernedCTparent said...

I think you need to add one of those count-down clocks to the blog.

5 months and counting down...

Catherine Johnson said...

I should add my standard disclaimer: C. has had numerous middle school teachers who DO NOT function this way (e.g.: 8th grade math teacher, see above).

But the culture of the place is negative.

As my friend X said two years ago, the philosophy of the place is, "Do it or you're effed."

POINTS OFF!

Catherine Johnson said...

news flash:

I think one of the parents in the math class is going to make a run at getting the answer key -- and I think it could work this time.

Everyone knows I'm doing all the math homework assignments myself, checking C's answers, and having him re-do the problems he missed.

Everyone also knows that if I weren't doing this, C. wouldn't be experiencing his turn-around. Good teaching and good homework assignments wouldn't be enough to do it. (We know this because the other kids at the bottom of the class are not moving up in test grades).

For a number of reasons, I suspect that the request for the answer key will get a real hearing this year.

palisadesk said...

On the whole topic of IQ vs. hard work, if you haven't already, be sure to read:
The Learning Gap

It's only a little out of date -- not much has changed. The whole issue of locus of control in N. American kids vs. Asian kids is crucial. We are more likely to attribute success to "ability," leading to kids' feeling (as John Mighton reports doing)"if it's hard work, it means you're dumb and you'll fail." A very de-motivating sequence of events. Asian kids, on the other hand, are enculturated to consider that effort is what makes you smart. This means you have some control over outcomes -- an empowering idea. The ramifications are many.

Engelmann understood this. His scripts are full of suggested lines such as, Good thinking, L. Everybody, let's give L. a hand. He's working hard. He's really getting it. When you work hard, you get smart.

Initiative, effort and persistence are reinforced as well as accuracy.

Catherine Johnson said...

oh absolutely

we talked about The Learning Gap on the old site (I think it was The Learning Gap, not The Teaching Gap...)

Instructivist said...

Locus of control really gets to the heart of the matter. Fighting culturally determined factors is no mean task.

A reviewer of the Learning Gap at Amazon also makes an astounding claim about the importance attached to "clarity of explanation" by teachers. This is quite possibly true. It would be in line with ed school preachings:

This is the most amazing book I've ever read on education, and one of the most eye-opening books I've read period. Every day on the news you hear about 'education reform.' Politicians and administrators are refering to things like smaller classes, better equipment, and other non-issues. The reason American kids are doing so poorly compared to other countries is much deeper and fundamental than that. What makes this book so amazing is that it explores the issues from several angles. American parents' expectations are much lower than Asian parents'. They would rather the kids be well-rounded with extracuricular activities and a social life. School takes a lower priority. American society thinks natural ability is more important than effort. Asians think effort is much more important. American's way of thinking is a dead-end for students. They will not be motivated to keep trying, thinking they just don't have the ability. American teachers rate 'clarity of explanation' as among the least important qualities a teacher could have. They rate 'sensitivity' as the most important. In Asian society, teachers gave the opposite rating. How amazing, the quality of imparting knowledge is among the least important things considered by American teachers.