My niece had a terrific algebra teacher freshman year. Scratch that: my niece had a terrific algebra teacher fall semester. Her school is on
block scheduling so by January she was done with math for the next 9 months. Won’t take math again until the fall.
Here’s how he ran his class.
Every week his students have 3 chances to take a test on that week’s material. The test is short, perhaps 5 key problems. If they ace it the first time, they’re done. If they don’t ace it, they take it again; if they don’t ace it the second time, they take it one last time. The final grade stands.
The cool thing: the tests are cumulative.
The first week students take a test on the the first 5 problems; the second week students take a test on those five problems along with the next five problems; the third week they take a test on the first week’s 5 problems, the second week’s 5 problems, and the 3rd week’s 5 problems, and so on.
By the end of the semester they’ve worked up to a final exam covering everything they’ve learned in the course, which they remember because they’ve been re-tested on it every week of the semester.
The teacher also sends each parent a weekly email laying out in detail his child’s progress in the course. Parents can see whether or not their child mastered that week’s material, and they can see when he mastered it: 1st test, 2nd test, or 3rd. Parents can also see any set of 3 tests where his child did not master the material even with three tries. My sister says you could glance at the email and see exactly which material your kid barely squeaked by on.
The teacher explained his system on Back to School night and told parents not to panic when they got the initial emails because early on in the year the point total could suddenly drop 50 points when a student blew the first or second test. He told parents not to panic & not to yell at their kids because they’d have two more chances.
The emails don’t function as a veiled request for parents to kick in with reteaching and tutoring. They are information. Parents know what their kids are doing in the course. I assume that his emails do function as an invitation for parents to kick in with oversight and homework monitoring. Which is fine by me. Parents of students in his class know exactly what they need to know to manage the situation at home.
This may be especially important in my sister’s school because some kids intentionally blow off the class due to a complicated CA system whereby they get credit for “Math 1” even if they flunk Algebra 1. My sister and I agree that the problem these kids pose is school level, not teacher level. In my view (not necessarily my sister’s) the school needs to kick in with supervised homework sessions and the like. (See:
LaSalle High School.) Working in a system that rewards kids for flunking algebra, this teacher deals with it by making sure parents know their kids have decided to flunk algebra, providing them with a weekly update on just how much algebra their kids have flunked to date.
The teacher is available every lunch hour and frequently after school for Extra Help. And: Extra Help actually helps. My niece went in twice when she wasn’t getting something. The reason she knew she wasn’t getting it was that she had barely squeaked by on the first two tests and still came up with a low score on the 3rd test.
She went for Extra Help after the 2nd test. My sister says the 3-test format taps into the Magic Number 3 that is embedded in the hearts and minds of children everywhere, as in: “
I’m going to count to 3 and when I get to 3 you better be factoring trinomials or else.”
Clearly, the three tests serve as formative assessment. The teacher knows, the student know, and the parent knows whether the kid has or has not mastered the material covered in the course to date. That doesn’t happen in a normal math class. In a normal math class, as my sister points out, “Since no one grades homework, you don’t find out if they know anything until they flunk the test.”
This math class is far from normal because, as it turns out—and this came as a surprise—this teacher also grades homework. The way my sister and my niece found that out was that one day my niece blew off her homework: she just wrote down whatever came to mind and turned it in.
The homework came back with an “F” on top. The teacher had read her homework, corrected her homework, and graded her homework.
She went to see him and apologized. It had been years since a teacher had so much as looked at her homework and she’d assumed he wasn’t going to look at it, either. She asked if she could do it over again & the teacher said yes.
It will probably come as no surprise to learn that the homework sets weren’t burdensome. Perhaps because this teacher read and graded all the homework, or perhaps because he knew exactly how much homework the kids needed in order to master the concepts, he gave small problem sets. My other niece, whose teachers never so much as glanced at anything the kids did outside class, would be assigned dozens of problems every night; she’d sit and slave over her math and no one at the school would give it a second thought. As a result, the stuff they turned in was “the crappiest sh** you’ve ever seen.”
The kids in this teacher’s class, because their teacher was a collecter and correcter, learned to produce neat, readable solution set with the answers circled.
So:
I would put money on it the kids in this man’s class have some of the highest math achievement coming out of a public school Algebra 1 course in the country.
They better have, since it'll be 9 long months before any of them looks at the inside of a math book again.
the Gambill method