mike777, on 2012-September-14, 23:00, said:
Guys can we back up one second.
Are you saying students are taking some nat test in every subject, every year?
I dont get all this talk about geometry, if they are not learning then you flunk them, right? Dont you ever test them?
I took a zillion tests during my one and only Summer Geometry class.
How in the world can you get an A and flunk some nat geometry test?
How in the world can you pass reading but flunk some nat reading test?
Mike, at the lower end of the educational system, almost nothing is impossible. Here is a story from my wife. She is a truth teller, but really no one could make this up.
A (former) neighbor tutored high school kids. He couldn't keep an appointment with one of his kids, and asked Becky if sh would do it. She did. The kid brought in the assignement that he had received back from the teacher. Every problem had a check mark by it indicating satisfactory performance, which apparently meant that there was something down on paper for every problem None of it was correct.
The kid was taking geometry, a course you mention above. This was an advanced course , they were studying the sine law (part of trigonometry, really). For those who have forgotten, an angle A has a number associated with it called the sin of A and written sin A. If a triangle has angles A,B,C and sides a,b,c with side a opposite angle A etc (and with a,b,c designating either the sides themselves or the lengths of those sides, as needed by context) then then (sin A)/a=(sin B)/b=(sin C)/c. For example, if you have two observation posts a known distance c apart, and if the line of sight from these posts to an interesting object makes angles A and B with the line connecting line between the posts, then angle C can be calculated so A,B,C and c are known and thus the distances a and b can be calculated from the sine law.
Of course "can be calculated" providing a person can do some very elementary algebraic manipulation and some arithmetic, with or without a calculator. The student had only the haziest idea of what to do. For example, the angle C is found by subtracting A+B from 180 (when degree measure is used). The student knew that something was supposed to add up to 180 but he was a little unclear whether it was the angles or the sides, and, anyway, getting from A+B+C=180 to C=180-(A+B) was a serious stretch for him.
His solutions had been deemed acceptable by the teacher (they were not correct but in some sense they were done). I of course cannot say if he got an A for this course. But he was in the course, and surely this is bad enough. A kid who should be reviewing arithmetic was studying the sine law, and with absolutely predictable results. He was learning absolutely nothing. At the end of the tear he no doubt was certified as having completed an advanced geometry course, and it would not be surprising at all if the grade was an A if he kept on handing in assignments.
People in charge just don't know what to do so they pretend these things don't happen, or they kick it down the road to the next teacher. At the University a student came to me who had all As in geometry, algebra and trigonometry. She planned to be a math major. The unfair (from her viewpoint) advisers had placed her in a non-credit remedial course and, in fact, in part 1 of a two part remedial course. She thought that at least she should be allowed to take parts 1 and 2 at the same time and was hoping I would intervene. It seemed right and I was about to call someone when I decided to first check her skills. I asked her to solve x^2-3x+2=0. No problem x=sqrt(3x-2). I told her she should continue on in the first part of the remedial course and take the second part when (don't hold your breath) she successfully completed the first part. I also suggested she might want to consider a major other than mathematics. Ah yes, old guy discouraging eager young female from pursuing her dream. Shut my mouth, I did.
I could easily go on for quite a while. There was the student flunking pre-calculus for the second time. She had made her way through the non-credit preparatory course with a D, so clearly she didn't need to go back and retake that! Her intended major was nuclear engineering. Oh my, this time it was older white guy discouraging an African-American female from following her dreams. "I can be anything I want to be" she told me as she left my office in a huff.
There are more than a few out there in the low income schools who should not be teaching. This is not because they have not mastered the latest educational techniques, it's because they have no clue whatsoever about the subject that they are teaching. They give good grades for writing something, pretty much anything, beside every problem number.
Routinely certifying students as having learned a subject when they absolutely have done no such thing should be a criminal offense. Any thought that these teachers are doing the students a favor is highly misguided.
Of course maybe they do such things in Chicago.
The winter is forbidden till December
And exits March the second on the dot.
By order, summer lingers through September
In Camelot.