Mona Reservoir, Kingston, Jamaica |
# 1. The distance around a circular
swimming pool is 4.42 km. How far is the outer wall from the centre of the
pool?
The answer works out to be 704
metres. The distance across the pool
would be 1408 metres – approximately 5 times the distance between the groynes
at Doctor’s Cave Beach. Suppose the pool is 1 m deep, (a safe depth since anyone getting into
difficulties would otherwise drown before a life-guard could reach them), the
volume of water in the pool would be 3.14 x 704 x 704 = 1,556,234 cubic metres = approx. 1,556 million litres or 411 million US gallons. At NWC rates, this
pool would cost Ja $554,641,797.60 to fill. This is a reservoir, not a swimming
pool! This distance around the Mona Reservoir is only 2.74 km!
What is the point of this
ridiculous question? For children to demonstrate that they can do complicated
long division sums, calculate the radius of a circle when given the
circumference, and remember to (and how to) convert kilometres to metres?
Lucea Courthouse with German clock in the tower. |
#5. A circular clock in the town
square is 125 m in diameter. How far is the outer edge of the clock from its
centre?
My questions: What would be the
weight of this clock and the mechanism used to make it work? How big is the
town square? Is the clock upright or flat on the ground? If it was upright it
would be about a third the height of the Empire State Building and at its
widest point would fill about half a city block. How far away from it would you
have to be to be able to read it? If it was flat on the ground, it couldn’t fit
into a space the size of the National Stadium in Kingston, Jamaica. What would
be the use of such a clock, anyway? By way of comparison, the dials on Big Ben,
one of the biggest clocks in the world, are 7 metres in diameter.
The purpose of this ridiculous
question is for children to demonstrate that they know that the radius of a
circle is half the diameter and that they can divide 125 by 2. Surely there
must be a more sensible way for children to do so. Why not asks a question about
the clock in Lucea town square? This book claims to have an integrated approach,
why not include some interesting history too? The clock, in the shape of a helmet
worn by the German Royal Guard, was intended to be a gift from the people of
Germany to the people of St. Lucia. By mistake it was sent to Lucea, Jamaica
which had ordered a smaller clock from the same company. The people loved the clock and raised the extra money to pay
for it. The clock was installed in the tower in 1817.
Writers of math text books and
teachers, please write sensible problems with realistic measurements that
children can relate to, and that can show how math is used in everyday life.
These ridiculous questions must surely alienate students who already have a
negative attitude towards math.