Even years after I last had to worry myself with such things, this
time of year always finds my mind returning to one of those stressful,
annual rites of passage for any young adult.
It’s finals time.
While I admittedly enjoyed school, I loathed finals, one big
mind-dump to prove I wasn’t daydreaming for the entire semester.
Considering the dire consequences of a poor grade did little to
make the drudgery of studying more attractive.
It was math that I dreaded most of all, since the only way to
really prepare was to crack a dusty textbook and start working out
review problems. More than once, figuring out what time a train left
Philadelphia bound for Chicago took a back burner to reading an
auction catalog or a newly arrived issue of Coin World.
Had I grown up 150 years earlier, perhaps doing math problems
would have been a bit more fun.
Take this example in grains, guineas and pennyweights (dwts) from
an 1819 textbook called The Scholar’s Guide to Arithmetic:
1. What is an English guinea worth which weighs 5 dwts, 6 grains?
2. What is the value of a French guinea, weighing 5 dwts, 6 grains?
A chart referencing a 1793 congressional act on the weights and
standards of foreign coins then in circulation was included to work
out your answers.
The answers: 1. As 27 grains of English-fineness gold is equal to
100 cents, 5 dwts 6 grains equals 4 dollars, 6 dimes and 6 2/3 cents,
or 28 shillings. 2. As 27.4 grains of French-fineness gold is equal to
100 cents, 5 dwts 6 grains equals 4 dollars, 5 dimes, 9 cents and 9
mills, or 27 shillings, 7 pence.
The textbook suggested “after you have weighed the piece of money,
cast your eye into the following tables once or twice, and you will
get its value without many figures.”
If only calculus had been so everyday practical.
Such questions turn up commonly in math textbooks from the 18th
and 19th centuries.
Just as students in the 1980s were still being anachronistically
asked to figure train timetables, an examination of school textbooks
well into the 1860s finds that students were still being asked to
figure out the values in dollars and cents for coins that had long
since disappeared from common circulation.
You can almost imagine a whiny 12-year-old in 1865, peering at a
question about guineas and pennyweights, wiggling in his chair, his
hand raised, waiting to ask: “Will this be on the final?”
John Kraljevich Jr. is an independent professional numismatist and
researcher specializing in early American coinage.