Florida’s Department of Education recently rejected 54 math textbooks for classes K-12. This blog post is not about the reasons given for the rejections of these books but a comment on a tweet about this from Florida Governor Ron DeSantis.
The governor’s tweet said: “Math is about getting the right
answer, not about feelings or ideologies. In Florida, we will be educating our
children, not indoctrinating them.”
The teaching of math is not only about getting the right
answer but in learning to think mathematically. In other words, to arrive at
the right answer one often first has to frame a problem in way that can be solved
by using math. Specific problems and their solutions may have an emotional
component.
An example of how to use math to get insight on a particular
issue, in this case not ideological nor emotional, is the question of whether a
rectangular television screen or a square television screen has the greatest viewing
area for a given diagonal length.
The correct answer is a square, but how does one determine
that? While it is fairly easy using calculus to determine that the largest area
of a rectangle with a given perimeter is a square, it is more difficult to
prove that a square also provides a larger area than that of any other
rectangle with the same diagonal. You have to be able to think like a mathematician
to prove this. Not all math is learning rote skills to get the correct answer,
as DeSantis implies. (Since I don’t have the proof, I am going to resort to
that statement in math textbooks which annoys math students no end: the proof
is left as an exercise for the reader.)
As a final comment, in the example I gave, some may see a public
policy issue. As the aspect of television screens changed to become more
rectangular, television manufacturers characterized their models by diagonal size,
not area. This may have misled some into thinking that a television set with an
equal diagonal to their old square one had the same viewing area. This is not
an issue I think is worth fretting much about, but only a way of saying that
using math to get insight into real issues can have implications.
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