l**n
发帖数: 7272 | 1 做个模型跟人在网上讨论越/降级上课。
Let us assume that in a school, the number of students, the number of "ahead
" kids, the number of "behind" kids are letter-coded as N, Na, and, Nb.
In addition, for a grade n, we have N(n), Na(n), and Nb(n).
Now, the number of student attending the 2nd grade math class is Na(1) + N(2
) + Nb(3) - Na(2) - Nb (2), if we allow students to attend math classes at
the adjacent level.
If we further simplify our model, say, all the grades are similar in total
numbers of students, "ahead" students, and "behind" students, e.g., for all
n,
N(n) = N
Na(n) = Na
Nb(n) = Nb
With the simplified model, the number of students attending the 2nd grade
math class is Na(1) + N(2) + Nb(3) - Na(2) - Nb (2) = Na + N + Nb - Na - Nb
= N.
This is saying allowing kids to go to "ahead" or "behind" grade classes will
not increase the work load of teachers and other resources if load or
resource cost depends on number of students.
Moreover, kids will get better education.
- "ahead" kids will not get bored.
- "behind" kids will not be intimidated.
In the system, there is no additional resource giving to "ahead" kids. | l**n
发帖数: 7272 | 2 把一个班的学生分成几个小组。每个小组的程度不同。
Load for teaching M levels of kids is considerably higher than teaching 1
level kids. Here, M > 1.
If the materials are independent, a teacher needs M time of effort, in terms
either preparation time or book reading or reference checking or teaching
time management, etc.
To model this mathematically, we can have a class of N students and they are
separated into M groups. In a math class of L minutes, a teacher must break
L minutes into at least M pieces in order to address the need of his/her
students. Is it easy? I have to say, oh my god.
In fact, it is not at all straightforward to allocate class hours for
teaching even for a small number of groups. Please let me elaborate. Let me
assume L = 50, M = 3, and N = 20.
Case 1:
If the number of kids in the 3 groups are roughly equal, a teacher can
roughly divide 50 minutes equally.
Case 2:
If group 1 and group 2 have 5 students each, the group 3 has 10 students,
how to manage 50 minutes?
Case 3:
Let group 1 and group 2 have 5 students each, the group 3 has 10 students.
Moreover, group 1 is "ahead" students, group 3 is "behind" students, how to
manage 50 minutes? The materials are of different complexity.
Case 4:
Let group 1 and group 2 have 5 students each, the group 3 has 10 students.
Moreover, group 1 is "ahead" students, group 2 is "behind" students, how to
manage 50 minutes? The materials are of different complexity.
Finally, I have to say that it is addressed in Adam Smith's "The Wealth of
Nations" that "Division of labour has caused a greater increase in
production than any other factor". It seems to me that Curriculum 2.0 is
trying to do the opposite. | l**n
发帖数: 7272 | 3 写的仓促，模型和英语问题都不少。有心的朋友们帮着指点一些吧。 | C**T
发帖数: 5379 | 4 不懂，帮顶。
ahead
+
n,
【在 l**n 的大作中提到】
: 做个模型跟人在网上讨论越/降级上课。
: Let us assume that in a school, the number of students, the number of "ahead
: " kids, the number of "behind" kids are letter-coded as N, Na, and, Nb.
: In addition, for a grade n, we have N(n), Na(n), and Nb(n).
: Now, the number of student attending the 2nd grade math class is Na(1) + N(2
: ) + Nb(3) - Na(2) - Nb (2), if we allow students to attend math classes at
: the adjacent level.
: If we further simplify our model, say, all the grades are similar in total
: numbers of students, "ahead" students, and "behind" students, e.g., for all
: n,
| l**n
发帖数: 7272 | 5 谢谢COST兄。网上有老美说越/降级是smart kids占便宜。我就给个模型说其实没便宜
占。
【在 C**T 的大作中提到】
: 不懂，帮顶。
:
: ahead
: +
: n,
| B******1
发帖数: 9094 | 6 student attending to the grade 2 class : no TO; SECOND grade class | C**T
发帖数: 5379 | 7 支持！一个小问题：凭那些老美的智力能搞明白这个模型么？。。。开个玩笑，呵呵。
先copy & paste下来今后没准能用上林兄的模型。
【在 l**n 的大作中提到】
: 谢谢COST兄。网上有老美说越/降级是smart kids占便宜。我就给个模型说其实没便宜
: 占。
| B******1
发帖数: 9094 | 8 I would say that a theoretic data model is less convincing than a real case
in a real school. | l**n
发帖数: 7272 | 9 In order to do so, we need data. Unfortunately, we do not have it now. My
position is to use simple model to convince at least a number of people.
Hopefully, my 5000 ft overview is not too far from the truth.
A far more tougher problem can be that schools are different from each other
.
Board of education must have something. However, they did not show anything
in detail on their website.
case
【在 B******1 的大作中提到】
: I would say that a theoretic data model is less convincing than a real case
: in a real school.
| l**n
发帖数: 7272 | 10 多谢北大兄，改过来了。
【在 B******1 的大作中提到】
: student attending to the grade 2 class : no TO; SECOND grade class
| | | c*h
发帖数: 33018 | | r*******n
发帖数: 310 | 12 I have two kids in MCPS elementary school now: one in 1st grade which has
this curriculum Math2.0, the other one in 5th grade magnet center that is
not. I do not realize any math extension program in place (maybe I do not
pay too much attenuation to the school stuffs). I knew there are different
groups formed in class for math and English during the conference with his
teacher.
I signed the petition because of 主任 even though I do not against the math2
.0 so far. Here is my two cents:
1. Your kids will still be challenged but not over-challenged in class (I
agree that the class teacher do not have desire and time), so he/she will
guarantee straight “A” all the way to College if his/her math is somewhat
accelerated (right now in MCPS, the kid will place to an advanced math class
if his/her math is good, so basically he/she is against all the paced kids
instead of normal class kids, an “A” is harder to keep. Talk to some high
school parents or students in magnet program if you doubt about this). The
kids may gain more confidence along the path. Maybe it is a good thing for
Asians.
2. The kids will learn the entire necessary math in college anyway; the most
you may save is the tuition of one or two college courses.
3. For math competition or interested kids, the math in class is always not
enough anyway. You need after school tutoring (including parents), self
study, summer math programs, online math classes, blah blah … | c*h
发帖数: 33018 | 13 Thanks for your signing the petition and your comments.
math2
【在 r*******n 的大作中提到】
: I have two kids in MCPS elementary school now: one in 1st grade which has
: this curriculum Math2.0, the other one in 5th grade magnet center that is
: not. I do not realize any math extension program in place (maybe I do not
: pay too much attenuation to the school stuffs). I knew there are different
: groups formed in class for math and English during the conference with his
: teacher.
: I signed the petition because of 主任 even though I do not against the math2
: .0 so far. Here is my two cents:
: 1. Your kids will still be challenged but not over-challenged in class (I
: agree that the class teacher do not have desire and time), so he/she will
| B******1
发帖数: 9094 | 14 Good points.
math2
【在 r*******n 的大作中提到】
: I have two kids in MCPS elementary school now: one in 1st grade which has
: this curriculum Math2.0, the other one in 5th grade magnet center that is
: not. I do not realize any math extension program in place (maybe I do not
: pay too much attenuation to the school stuffs). I knew there are different
: groups formed in class for math and English during the conference with his
: teacher.
: I signed the petition because of 主任 even though I do not against the math2
: .0 so far. Here is my two cents:
: 1. Your kids will still be challenged but not over-challenged in class (I
: agree that the class teacher do not have desire and time), so he/she will
| e******e
发帖数: 274 | 15 Thanks for sharing. After 2.0, when more affluent parents go for tutoring,
those who truly get hurt are those better students in the lower income group
.
math2
【在 r*******n 的大作中提到】
: I have two kids in MCPS elementary school now: one in 1st grade which has
: this curriculum Math2.0, the other one in 5th grade magnet center that is
: not. I do not realize any math extension program in place (maybe I do not
: pay too much attenuation to the school stuffs). I knew there are different
: groups formed in class for math and English during the conference with his
: teacher.
: I signed the petition because of 主任 even though I do not against the math2
: .0 so far. Here is my two cents:
: 1. Your kids will still be challenged but not over-challenged in class (I
: agree that the class teacher do not have desire and time), so he/she will
|
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