A
story in the unexpected
gifts department. One
year when Sarah was in middle school – her math class was
pre-algebra. One afternoon, the teacher gave them a challenge problem
– totally optional – and the students could use any
resource at their disposal to figure it out.
Sarah
promptly handed the challenge problem to me when she got home – she
said I was an allowable resource! So I sat down with the problem and
recognized it as algebra – which I had always liked in school. I
quickly realized that the problem was a quadratic equation, and then
I just as quickly realized that I could not remember how to
solve a quadratic equation!
I
started the challenge over and over again – always getting to the
same spot and then stuck. I told Sarah I was going to figure it out.
I was. And I started it all over again. While I wrote down steps that
I knew were going to get me to the same stuck place, I tried to think
of resources at my
disposal that would help me
solve the problem.
And
finally I remembered that there is an algebra textbook on my
bookshelf – it was published in 1891! But quadratic equations are
older than that - so the solution should be somewhere in those pages!
Right?
1891 Algebra Textbook |
With
much hope, I found the book – and soon I had solved the problem for
Sarah.
She
said, “redo all the steps Mom, and explain each one to me so I can
write them on the board for everyone in class tomorrow!” Sarah was
very excited.
the secret to quadratics |
When
we were done going over all the steps, I looked around and saw that
evening had come! It was dark outside, and it was dark inside the
house everywhere except where at some point I must have turned on a
lamp at the table where I was working. Hours
had gone by! Neither
of the girls had had any dinner! What kind of example was I being to
my children to put everything else aside to bullheadedly, stubbornly
pursue something like that - to give them the impression that
something else was more important than taking care of my children and
for goodness sakes, more important than feeding
them?
Months
went by. The same math teacher gave Sarah's class an assignment to
make an ABC book with math terms. Sarah did her book and handed it
in.
At the end of the school year, when kids had to clean out their
lockers, Sarah brought home a whole pile of papers, and I took a
glance through them. One of the things in the stack was the ABC book
of math terms which had been returned and then stashed in the locker.
I turned to the first page and saw that it was a Dedication
Page. I thought that
surely the teacher did not require such a page – Sarah must have
done that independently. My curiosity piqued – did she dedicate the
book to her sister? One of the cats? A friend?
The
Dedication Page said that the book was dedicated to
my Mom who taught me higher level math.
“Sarah
Beth!” I exclaimed, “When did I teach you higher level math?”
“Remember
that night, Mom, you helped me with the algebra problem?”
“You
mean the night I stubbornly sat at the table for hours and did not
feed you until I had figured out the quadratic equation?”
“Yes,
Mom, you taught me higher level math.”
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20150709 Higher Level Math
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