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PostPosted: Tue Jun 08, 2010 9:55 am 
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http://www.nypost.com/p/news/local/how_ ... kO5SoPYWRI

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NY passes students who get wrong answers on tests

When does 2 + 2 = 5?

When you're taking the state math test.

Despite promises that the exams -- which determine whether students advance to the next grade -- would not be dumbed down this year, students got "partial credit" for wrong answers after failing to correctly add, subtract, multiply and divide. Some got credit for no answer at all.

"They were giving credit for blatantly wrong things," said an outraged Brooklyn teacher who was among those hired to score the fourth-grade test.

State education officials had vowed to "strengthen" and "increase the rigor" of both the questions and the scoring when about 1.2 million kids in grades 3 to 8 -- including 450,000 in New York City -- took English exams in April and math exams last month.

But scoring guides obtained by The Post reveal that kids get half-credit or more for showing fragments of work related to the problem -- even if they screw up the calculations or leave the answer blank.

Examples in the fourth-grade scoring guide include:

* A kid who answers that a 2-foot-long skateboard is 48 inches long gets half-credit for adding 24 and 24 instead of the correct 12 plus 12.

* A miscalculation that 28 divided by 14 equals 4 instead of 2 is "partially correct" if the student uses the right method to verify the wrong answer.

* Setting up a division problem to find one-fifth of $400, but not solving the problem -- and leaving the answer blank -- gets half-credit.

* A kid who subtracts 57 cents from three quarters for the right change and comes up with 15 cents instead of 18 cents still gets half-credit.

* A student who figures the numbers of books in 35 boxes of 10 gets half-credit despite messed-up multiplication that yields the wrong answer, 150 instead of 350.

These questions ask students to show their work. The scoring guidelines, called "holistic rubrics," require that points be given if a kid's attempt at an answer reflects a "partial understanding" of the math concept, "addresses some element of the task correctly," or uses the "appropriate process" to arrive at a wrong solution. Despite flubbing the answer, students can get 1 point on a 2-point problem and 1 or 2 points on a 3-pointer.

The Brooklyn teacher said she and peers who had trained to score the tests were stunned at some instructions.

"Everybody in the room was upset," she said.

The teacher had scored tests with some "controversial questions" for several years, but "this time it was more outrageous," she said. "You feel like you're being forced to cheat."

Scorers joked about giving points to kids who wrote their names, brought a pencil or shared gum.

However, score inflation is not funny, the whistleblower said.

"The kids who really need the help are just being shuffled along to the next grade without the basic skills to have true success. They are given a hollow success -- that's the crime of it. The state DOE is doing a disservice to its children."

Some testing experts are also troubled.

Ray Domanico, a former head of data analysis for city schools, said kids deserve a little credit for partial knowledge but agreed the scoring system "raises some questions about whether it's too generous."

State Education Department spokesman Tom Dunn defended the scoring.

"All teachers who score exams receive clear training and rubrics that detail scoring criteria for every question on the tests," he said. "Students who show work and demonstrate a partial understanding of the mathematical concepts or procedures embodied in the question receive partial credit."

But a few extra points can let a failing kid squeak by.

A year ago, Chancellor Joel Klein boasted that the city was making "dramatic progress" when 82 percent of city students passed the state math test and 69 percent passed in English, up sharply from 2002. And fewer kids have been left back in recent years.

What officials didn't reveal was that the number of points needed to pass proficiency levels has, in most cases, steadily dropped.

The state Board of Regents, which oversees the tests, has postponed the release of results until late July, but let the city Department of Education set its own "promotional cut scores" to decide which kids may be held back. The DOE will release those scores in the next two weeks, a spokesman said.



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PostPosted: Tue Jun 08, 2010 10:11 am 
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More and more, I celebrate the decision to send my son to private school.


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PostPosted: Tue Jun 08, 2010 11:09 am 
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Ladas wrote:
More and more, I celebrate the decision to send my son to private school.

I am with you on that.


Interesting story that may or may not be related:

http://www.msnbc.msn.com/id/37569783/ns ... e-science/

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PostPosted: Tue Jun 08, 2010 12:02 pm 
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The funny part is that 2 + 2 does = 5 for large values of 2. /wink


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PostPosted: Tue Jun 08, 2010 12:03 pm 
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I seem to remember a similiar conclusion from a study about domesticated house cats and their cognitive ability decline.


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PostPosted: Tue Jun 08, 2010 7:32 pm 
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and I use to get zeros for forgetting units ... >.<

*shakes fist at the whipper snappers*


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PostPosted: Tue Jun 08, 2010 8:26 pm 
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in fairness this type of methodology is applied at the college level. I've had physics, calculus and astrophysics professors who cared about the equation far far far more than the add/subtract/multiply/divide -- so I see the point.

Then again when the Addition/subtraction/multiplication/division is the POINT of the problem, I think you might lose something. Obviously at this level the basics are important.

But it is somewhat forgivable on a word problem.

I question how many of the people screaming foul here took advanced mathematics at the college level?


it also does depend on what the test is looking for. Targeted testing does have merit.


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PostPosted: Tue Jun 08, 2010 8:41 pm 
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Not sure about the Universities over there, but I did Maths first year for my science course and as I said, I got zero in a major question for forgetting a unit, albit with the correct answer.

I took it to the teacher and the answer I got was, "Units are one of the more important aspects of maths in science, with out it, I don't truly know if you got the right answer." (or something to that effect)

I learnt quick to include units after that >.<

So while targeted testing may have merrit (bet units aren't as important for accounting), it's not here where you're setting the corner stones of these kids' learning behavior.


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PostPosted: Tue Jun 08, 2010 8:53 pm 
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When the problem is one of basic arithmatic, the fact that it's a word problem doesn't mean you should get partial credit. That's all fine in advanced math with large numbers of steps in each problem, but when there's basically one step you're either right or wrong.

If you can't do it when it's a word problem, you can't do it. Math only applies to real life in word-problem situations. Being able to do the problem in a vaccuum is worthless.

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PostPosted: Tue Jun 08, 2010 9:10 pm 
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Diamondeye wrote:
Being able to do the problem in a vaccuum is worthless.


What if you're an astronaut on a space-walk trying to calculate how many screws are on the panel you are working on?


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PostPosted: Tue Jun 08, 2010 9:57 pm 
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A student gets one point for recognizing that spending a fifth of your money means to divide by five? That's reasonable. I would also remind you that 50% is still an F. He even got his orders of magnitude correct. The student in that case demonstrated a skill that I can assure you most adults with "proper" education they received back when schools were still "good" do not have (including most of the people lamenting the failings of our educational system) - that is, the ability to read and interpret a word problem. Compare this to a student who is able to perform the 400/5=80 operation, but unable to read and recognize when and where to apply it.

We live in a world with an abundance of technology. This student would at least be able to pull out a calculator and arrive at the correct answer. Believe me, I view the over reliance on calculators that people have with far more derision than any of you do, however there is at least a tool in place to help this student arrive at the correct answer. Current technology has not yet produced a machine that will read that sentence for you and tell you, "Divide 400 by 5."

As for the other problem... did anybody notice that there are 24 inches in a foot? Strange that instead of adding 12 to itself, or multiplying it by 2, he used 24 instead. The number that is, in fact, the correct answer. So is he a dummy who thinks there are 24 inches in a foot, or did he do the problem in his head first, and then have a brain fart and added the correct answer to itself? If he'd written 10 + 10 or 25 + 25, you might be on to something. As it stands, he used the correct answer as his operands. I don't think that's a coincidence. Furthermore, 24 + 24 = 48 is a true statement.

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What officials didn't reveal was that the number of points needed to pass proficiency levels has, in most cases, steadily dropped.
This is the problem, not the fact that a kid got partial credit for being able to read a word problem correctly. Do our schools have lower standards than they used to? They certainly do, but this article doesn't prove that. They cherry-picked two problems where a student was awarded partial credit for something that actually does seem reasonable to award partial credit for.

Had I seen the rest of this student's test, I might find the decision to give partial credit for the skateboard question somewhat dubious if there was a continuous string of the student not knowing proper unit conversions. Not having the rest of that information available, I can't make a judgement either way, but I can see the train of thought that led to awarding the point. I've made mistakes like that before. I missed a perfect score on an exam this semester because I found an inductor reactance rather than a capacitor reactance. There's a difference between making a mistake, screwing up, and flat-out not knowing what the **** you're doing.

Kid reads word problem. Kid recognizes he needs to add a foot to a foot. That ought to be worth something. Just ask most adults to solve a problem involving two trains leaving Los Angeles.

Kid reads word problem. Kid recognizes he needs to take money and divide by five. Again, that ought to be worth something. Trains leaving L.A.

Again, 50% is still an F. Furthermore, he's demonstrating understanding of one of the most important things you're supposed to learn in math. Most people read a problem and can't figure out what they're supposed to do. That's why so many people fail physics. That's why people drop out of engineering programs. That's why so many general chemistry courses spend weeks teaching you to multiply concentration by volume to get moles. Multiply concentration by volume to get moles. Multiply concentration by volume to get moles. Then, when the professor gives them volume and a mass and asks for the concentration, half the class can't do it because the professor never went over it. This happens at the good schools, where the straight-A National Honor Society kids go.

So back to our schools. Are they **** up? Yes. Is it because of partial credit? Well, if we did away with partial credit, my grades wouldn't change. I'd be willing to bet money that a lot of you would no longer hold four-year degrees, and some of you might not even have high school diplomas, because you would have failed math classes in high school and college that aren't remarkably higher level than this grade school math test.

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PostPosted: Tue Jun 08, 2010 10:59 pm 
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Coro pretty much summarized my thoughts on the matter.

While it's dubious to try and draw a conclusion either way, the selected examples indicate the ability to think critically, which is where most students in disciplines of math, science and applied sciences tend to suffer.

However, this also seems to be a test demonstrating the ability to perform arithmetic correctly and while writing q beautiful sonnet might be a more prized and rare skill, it could be underlined by a lack of spelling or grammatical precision.

Then again 1/2 typically is failing...

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PostPosted: Tue Jun 08, 2010 11:07 pm 
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Lydiaa wrote:
Not sure about the Universities over there, but I did Maths first year for my science course and as I said, I got zero in a major question for forgetting a unit, albit with the correct answer.

I took it to the teacher and the answer I got was, "Units are one of the more important aspects of maths in science, with out it, I don't truly know if you got the right answer." (or something to that effect)

I learnt quick to include units after that >.<

So while targeted testing may have merrit (bet units aren't as important for accounting), it's not here where you're setting the corner stones of these kids' learning behavior.


While I certainly don't agree forgetting units merits losing all credit on a problem, in the world of physical sciences, units are very important. It's basically a synopsis of law and definitions.

I can't tell you how many tests I managed to derived formulas (or caught myself using incorrect definitions) for which I had either failed to study or didn't remember by using fundamental principles and memorizing dimensionally how units interrelated and then writing them to eliminate what the correct formula might be.

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PostPosted: Wed Jun 09, 2010 12:19 am 
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Yeah, I'm with Coro on this one, too. One would hope that they test the actual operations at some point, too. The 24" in a foot one is the one that bothers me, but I think Coro made a good point about inferring whether this deserves partial credit by whether the student flubbed the inches to foot conversion in the rest of the test.

It's funny, actually. My freshman year of college, I participated in an experimental set of classes that paralleled standard freshman curriculum that worked off an alternate grading system in which problems were, in the grading stage, broken down into concepts that were individually graded. So it was like systematically awarding very granular partial credit, while ensuring that you still have to learn the breadth of the subject, too. They'd track and fill in a rubrick of "competencies" for each student over the course of the semester.

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PostPosted: Wed Jun 09, 2010 1:57 am 
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*shrug* in astrophysics if you do the problem correctly and derive your equation correctly you can be off by an order of magnitude and still be marked 100% correct.


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PostPosted: Wed Jun 09, 2010 7:38 am 
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Corolinth wrote:
So back to our schools. Are they **** up? Yes. Is it because of partial credit? Well, if we did away with partial credit, my grades wouldn't change. I'd be willing to bet money that a lot of you would no longer hold four-year degrees, and some of you might not even have high school diplomas, because you would have failed math classes in high school and college that aren't remarkably higher level than this grade school math test.

The only time we received partial credit for math, geometry, chemistry or physics problems was when the problem contained multiple formulas or calculations, at which point you might receive some credit up to the point you screwed up, even if it was only because you couldn't add 2+2. It is called double checking your work, and used to be a taught discipline that was critical.

That said, education is a continuing process, to built upon the lessons before and expanded in depth and breadth as you advance. These are 9-11 year old children (4th grade) who for the failing of their school system/parents/etc don't know that there are 12 inches in a foot... that don't know basic arithmetic taught in kindergarten. Lets get a grip on exactly what kind of lame *** crap for which you are trying to make excuses. Its not like you haven't ***** and moaned at length in the past about the abilities of the college students you tutor.... well, here you go. They didn't get to that point without being here first.

These tests seem to be less about testing understanding of concepts and more about masking the deficiencies of the education system for the previous 3-4 years these kids were in school. By all means, lets spit shine that pile of **** and claim its a win that the children 50% of the way to independent living and working know to use the + sign for addition.

And for those not paying attention... not arriving at the correct answer to 50% of this test, based upon this scoring scheme, could result in at least a 75. That isn't a failing grade, and this 4th grader who can't add just got promoted to the 5th grade.


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PostPosted: Wed Jun 09, 2010 11:37 am 
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I think comparing partial credit in college exams to this is a complete apples to oranges comparison.

Not knowing that there's 12 inches is a foot instead of 24 is no where near complex equations that may require dozens of additions subtractions multiplications and divisions.

I don't have a problem with partial credit for remembering proper equations, but ending up with the wrong answer.

I do have a problem with partial credit because you didn't finish a 400/5 problem or didn't know how many inches were in a foot.

These two things are so different mathmatically that they aren't in any way comparable.


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TheRiov wrote:
*shrug* in astrophysics if you do the problem correctly and derive your equation correctly you can be off by an order of magnitude and still be marked 100% correct.


Not in any astronomy or physics course I ever took, not 100% correct no way.

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Jocificus wrote:
These two things are so different mathmatically that they aren't in any way comparable.
No, they aren't. You think that, but it doesn't hold up to scrutiny. We give partial credit on the college level for understanding various concepts that lead to the correct answer. So let's look at the money problem. I have to recognize that I need to take my money and multiply it by a fraction, which is the same as dividing by a reciprocal. That's exactly the same as realizing you have to take a certain amount of work and divide it by a distance to get a force. That you don't seem to recognize that they are the same is exactly the reason why so many students struggle with math-related classes in high school and college.

TheRiov wrote:
*shrug* in astrophysics if you do the problem correctly and derive your equation correctly you can be off by an order of magnitude and still be marked 100% correct.
This is the sort of thing that leads to a rover crashing on Mars, or a probe missing Jupiter. This also probably explains why all of the neat toys that astrophysicists need to do their job are not designed by astrophysicists. You definitely should not be getting a problem marked 100% correct if you're off by an order of magnitude, but 100% incorrect is not the proper response, either.

Ladas wrote:
And for those not paying attention... not arriving at the correct answer to 50% of this test, based upon this scoring scheme, could result in at least a 75. That isn't a failing grade, and this 4th grader who can't add just got promoted to the 5th grade.
If someone produces F work for a chunk of the test, guess what they have to do in order to get a 75%? Those problems are worth two points for a reason. There is another step to them besides performing the arithmetic operation. As Kaffis points out, one would expect there are purely arithmetic problems on this test. I would further go on to expect that those are one point problems.

Ladas wrote:
The only time we received partial credit for math, geometry, chemistry or physics problems was when the problem contained multiple formulas or calculations, at which point you might receive some credit up to the point you screwed up, even if it was only because you couldn't add 2+2. It is called double checking your work, and used to be a taught discipline that was critical.
With the exception of physics, and that depends heavily upon the physics class in question, the math in those courses is not remarkably higher level than 4th grade math. Most people don't like to hear that, but it's true. My point stands.

Ladas wrote:
That said, education is a continuing process, to built upon the lessons before and expanded in depth and breadth as you advance. These are 9-11 year old children (4th grade) who for the failing of their school system/parents/etc don't know that there are 12 inches in a foot... that don't know basic arithmetic taught in kindergarten. Lets get a grip on exactly what kind of lame *** crap for which you are trying to make excuses. Its not like you haven't ***** and moaned at length in the past about the abilities of the college students you tutor.... well, here you go. They didn't get to that point without being here first.
Yes, I am able to objectively claim that our standards are failing, thank you for noticing. What I have been arguing is that this article, and the cherry-picked examples from the test do not prove it. Here is the damning piece of evidence:

Quote:
What officials didn't reveal was that the number of points needed to pass proficiency levels has, in most cases, steadily dropped.


That's a footnote in an article that's basically whining and crying about partial credit. If the journalists were really worth their salt, they might have focused on that a little more, but it's easier to cause an uproar if you appeal to the adult's innate desire to gripe about how things were in their day. There are two examples given in that article. One of which I can't draw any conclusion from. Most of you think you can draw conclusions, but that's because you're not well-informed enough to realize that there isn't enough information given in the article. For the second problem, a student received half credit for understanding and demonstrating proficiency over half of the problem. He figured out how to solve half the problem, and he got half the credit for it. That's rock solid logic.

So we have a test. This test is broken up into a certain number of problems, each with a point value. Each individual problem is broken up into a number of parts. This is standard test-writing applied throughout math and science programs across the country. Presumably, each part of the problem is testing a particular skill.

I give you a charged particle with an applied voltage and ask how long it takes it to strike a plate a certain distance away. You then figure out the steps you take to solve it. So you figure out you need to use an equation to get a kinetic energy from the charge and voltage. Do we have that somewhere? Now you've figured out you need to get a kinetic energy out of a velocity. Do you have that equation? Finally you start looking for an equation to relate distance, velocity, and time. Each time, you were required to write down the equation you were going to solve, and then solve that equation. Nobody seems to think this is unreasonable. You solved three distinct problems, you expect that your score will be some amalgamation of all three.

So now we have an elementary school test. Here's a math section with a bunch of arithmetic problems. There's not much you can do with those. They're either right, or they're wrong. Now here's some word problems. Those are harder, right? They must be, because that's what people can't solve. Okay, so the harder problems are worth more. That's a reasonable assumption. Why are they worth more? They require more work. A word problem consists of an arithmetic problem and a "turn words into math" problem. That word problem is not one problem, it is two. It therefore makes perfectly good sense that a student be graded for both problems. So the student who reads the problem correctly and writes down 400/5 but does not complete the arithmetic operation, he has gotten the first problem right and the second problem wrong. The arithmetic problem that he got wrong has the same weight as all of the other arithmetic problems that preceded it.

Now, if he consistently does that, then he has a problem with arithmetic. That means he'll be missing the arithmetic problems on the test as well. In that case, he won't have a 75, he's going to fall into the 30-45 range. That's still failing, but it's better than the kids who can't do arithmetic and also can't read word problems - exactly what this kid's score should reflect, if that's the case. I don't know how some of you think a student who can't do arithmetic is going to magically come up with enough points elsewhere to get a 75%. It's a math test. A 50% on the word problem section is going to be roughly 33% of the overall test, another 33% of it he's already blown because that was the other half of the word problem section. If he aces the arithmetic section (unlikely) then he makes up the remaining 34% to get a D. In that case, he's aced the arithmetic section, and somehow managed to correctly interpret the word problems (but not solve them for some inexplicable reason), then he probably does know the material as well as any C or B student, and deserves the D on general principle for being a lazy ****.

So again, here is the problem:

Quote:
What officials didn't reveal was that the number of points needed to pass proficiency levels has, in most cases, steadily dropped.

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PostPosted: Wed Jun 09, 2010 8:09 pm 
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I would find your logic extremely convincing, Coro, except for one thing: Real life doesn't give partial credit.

Guess what happens when computing manual artillery data, if you don't do ALL the steps correctly? You guessed it: 155mm HE rounds end up in places they don't belong. In one case I know of, because we were ALSO in the field at the same time and we ALSO went into check fire - freeze, that meant someone's family cemetary took 9 rounds - a family cemetary that was quite near their house.

Most of real life isn't that **** drastic, but the fact of the matter is that if you can't do all the steps right you can't get the right answer and that's the **** point of doing math.

In the purely abstract academic sense, yes, I agree that the real problem is that passing scores have been dropping, but piling partial credit for one-step problems does not help that.

I also don't see any reason to think there ARE any one-point problems on the test, although maybe there are.

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PostPosted: Thu Jun 10, 2010 8:04 am 
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in fairness the 12/24 problem is a fact rather than a process. if the test is aimed soley at testing process then I'm not sure the teacher is wrong to mark partial credit.

Similarly if I took a physics test and used the wrong value for the charge on an electron or some I could get a totally wrong answer.


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The degrees to which people will go to forgive this failing situation is amazing... 12 inches in a foot is something learned well before this stage in the primary education system and should have everyone questioning wtf the system has been doing for the previous 3-4 years that a 4th grader doesn't know that, or hasn't been taught to double check their work.


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Ladas:

What's the Petrie orthogonal polygon projection of an object with 8 vertices, 12 edges, 6 regular faces, and 1 cell? For extra-credit, tell me what said object is.

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Is the projection a square? And the original object a cube? I'm just guessing what a Petrie orthogonal polygon projection is.


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Lex Luthor wrote:
Is it a square?
No
Lex Luthor wrote:
And the original object a cube?
Yes

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Corolinth wrote:
Facism is not a school of thought, it is a racial slur.


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