US Students Struggle With Understanding of the 'Equal' Sign
bickerd--- writes with news of research out of Texas A&M which found that roughly 70% of middle grades students in the US don't fully understand what the 'equal' sign means. Quoting:
"'The equal sign is pervasive and fundamentally linked to mathematics from kindergarten through upper-level calculus,' Robert M. Capraro says. 'The idea of symbols that convey relative meaning, such as the equal sign and "less than" and "greater than" signs, is complex and they serve as a precursor to ideas of variables, which also require the same level of abstract thinking.' The problem is students memorize procedures without fully understanding the mathematics, he notes. 'Students who have learned to memorize symbols and who have a limited understanding of the equal sign will tend to solve problems such as 4+3+2=( )+2 by adding the numbers on the left, and placing it in the parentheses, then add those terms and create another equal sign with the new answer,' he explains. 'So the work would look like 4+3+2=(9)+2=11.'"
That's not what = means. = is ASSIGNMENT. They're looking for ==.
Also, on a serious note, from what I recall of the US school system, frankly, the most surprising thing about this is that the problem isn't worse than reported.
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Because I can't figure out how you are supposed to solve such a problem, and I have a BS in Computer Science.
Let's look at the problem:
4+3+2=( )+2
4+3+2 = 9
( ) + 2 = 2
So we have a false equality 9 = 2
Since this is not true, I can easily see how lots of kids would go through contortions to try and make it true.
But unless this is a trick question, why are the setting up false equalities like this for grade school kids?
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Let's see here.. I'm going to go with:
4+3+2=(21/3*981727612785316256514034236^0)+2
Now, now. Just because these youngsters need pictures of the food on their cash-register buttons in order to do their job doesn't mean they're stupid. :-)
It must have been something you assimilated. . . .