In a 1984 paper that is regarded as a classic of educational psychology, Benjamin Bloom, a professor at the University of Chicago, showed that being tutored is the most effective way to learn, vastly superior to being taught in a classroom. The experiments headed by Bloom randomly assigned fourth-, fifth- and eighth-grade students to classes of about 30 pupils per teacher, or to one-on-one tutoring. Children tutored individually performed two standard deviations better than children who received conventional classroom instruction — a huge difference. (...)
The morning after I watched Tyler Rogers do his homework, I sat in on his math class at Grafton Middle School. As he and his classmates filed into the classroom, I talked with his teacher, Kim Thienpont, who has taught middle school for 10 years. “As teachers, we get all this training in ‘differentiated instruction’ — adapting our teaching to the needs of each student,” she said. “But in a class of 20 students, with a certain amount of material we have to cover each day, how am I really going to do that?”
ASSISTments, Thienpont told me, made this possible, echoing what I heard from another area math teacher, Barbara Delaney, the day before. Delaney teaches sixth-grade math in nearby Bellingham. Each time her students use the computerized tutor to do their homework, the program collects data on how well they’re doing: which problems they got wrong, how many times they used the hint button. The information is automatically collated into a report, which is available to Delaney on her own computer before the next morning’s class. (Reports on individual students can be accessed by their parents.) “With ASSISTments, I know none of my students are falling through the cracks,” Delaney told me.
After completing a few warm-up problems on their school’s iPod Touches, the students turned to the front of the room, where Thienpont projected a spreadsheet of the previous night’s homework. Like stock traders going over the day’s returns, the students scanned the data, comparing their own grades with the class average and picking out the problems that gave their classmates trouble. (“If you got a question wrong, but a lot of other people got it wrong, too, you don’t feel so bad,” Tyler explained.)
Thienpont began by going over “common wrong answers” — incorrect solutions that many students arrived at by following predictable but mistaken lines of reasoning. Or perhaps, not so predictable. “Sometimes I’m flabbergasted by the thing all the students get wrong,” Thienpont said. “It’s often a mistake I never would have expected.” Human teachers and tutors are susceptible to what cognitive scientists call the “expert blind spot” — once we’ve mastered a body of knowledge, it’s hard to imagine what novices don’t know — but computers have no such mental block. Highlighting “common wrong answers” allows Thienpont to address shared misconceptions without putting any one student on the spot.
I saw another unexpected effect of computerized tutoring in Delaney’s Bellingham classroom. After explaining how to solve a problem that many got wrong on the previous night’s homework, Delaney asked her students to come up with a hint for the next year’s class. Students called out suggested clues, and after a few tries, they arrived at a concise tip. “Congratulations!” she said. “You’ve just helped next year’s sixth graders learn math.” When Delaney’s future pupils press the hint button in ASSISTments, the former students’ advice will appear.
Unlike the proprietary software sold by Carnegie Learning, or by education-technology giants like Pearson, ASSISTments was designed to be modified by teachers and students, in a process Heffernan likens to the crowd-sourcing that created Wikipedia. His latest inspiration is to add a button to each page of ASSISTments that will allow students to access a Web page where they can get more information about, say, a relevant math concept. Heffernan and his W.P.I. colleagues are now developing a system of vetting and ranking the thousands of math-related sites on the Internet.
The morning after I watched Tyler Rogers do his homework, I sat in on his math class at Grafton Middle School. As he and his classmates filed into the classroom, I talked with his teacher, Kim Thienpont, who has taught middle school for 10 years. “As teachers, we get all this training in ‘differentiated instruction’ — adapting our teaching to the needs of each student,” she said. “But in a class of 20 students, with a certain amount of material we have to cover each day, how am I really going to do that?”
ASSISTments, Thienpont told me, made this possible, echoing what I heard from another area math teacher, Barbara Delaney, the day before. Delaney teaches sixth-grade math in nearby Bellingham. Each time her students use the computerized tutor to do their homework, the program collects data on how well they’re doing: which problems they got wrong, how many times they used the hint button. The information is automatically collated into a report, which is available to Delaney on her own computer before the next morning’s class. (Reports on individual students can be accessed by their parents.) “With ASSISTments, I know none of my students are falling through the cracks,” Delaney told me.
After completing a few warm-up problems on their school’s iPod Touches, the students turned to the front of the room, where Thienpont projected a spreadsheet of the previous night’s homework. Like stock traders going over the day’s returns, the students scanned the data, comparing their own grades with the class average and picking out the problems that gave their classmates trouble. (“If you got a question wrong, but a lot of other people got it wrong, too, you don’t feel so bad,” Tyler explained.)
Thienpont began by going over “common wrong answers” — incorrect solutions that many students arrived at by following predictable but mistaken lines of reasoning. Or perhaps, not so predictable. “Sometimes I’m flabbergasted by the thing all the students get wrong,” Thienpont said. “It’s often a mistake I never would have expected.” Human teachers and tutors are susceptible to what cognitive scientists call the “expert blind spot” — once we’ve mastered a body of knowledge, it’s hard to imagine what novices don’t know — but computers have no such mental block. Highlighting “common wrong answers” allows Thienpont to address shared misconceptions without putting any one student on the spot.
I saw another unexpected effect of computerized tutoring in Delaney’s Bellingham classroom. After explaining how to solve a problem that many got wrong on the previous night’s homework, Delaney asked her students to come up with a hint for the next year’s class. Students called out suggested clues, and after a few tries, they arrived at a concise tip. “Congratulations!” she said. “You’ve just helped next year’s sixth graders learn math.” When Delaney’s future pupils press the hint button in ASSISTments, the former students’ advice will appear.
Unlike the proprietary software sold by Carnegie Learning, or by education-technology giants like Pearson, ASSISTments was designed to be modified by teachers and students, in a process Heffernan likens to the crowd-sourcing that created Wikipedia. His latest inspiration is to add a button to each page of ASSISTments that will allow students to access a Web page where they can get more information about, say, a relevant math concept. Heffernan and his W.P.I. colleagues are now developing a system of vetting and ranking the thousands of math-related sites on the Internet.
by Annie Murphy Paul, NY Times | Read more:
Illustration by Tim Enthoven
