This month's Puzzle Corner activity is a simple problem with surprising
results. The question posed in the puzzle is: "How many times during a day (24
hours) do the hour and minute hands of a clock point in the same direction?" The
obvious answer seems to be 24, yet this is not correct. Students are challenged
to make a guess and then use a clock to check the guess. They will need to do
this carefully to find the correct answer.
Time Marches On works best with students who are comfortable telling time on an
analog clock. You will find that even older students who are proficient at
telling time need to have a clock available. Students need to actually turn the
hands of a clock as they make a record of the number of times the hands coincide,
otherwise they will not get the correct answer.
Since it may not be practical to have one clock per student, you may want to have
students work in groups. A letter to parents asking to borrow small travel alarm
clocks should get enough ciocks to use with groups. An alternative is to place
one clock in a center and have students rotate through the center.
There are many possible extensions to this activity. One is to see how many times
the second hand and the minute hand of a clock coincide in an hour. Another is to
look at the time intervals between each coincidence of the minute and hour hands.
In addition. students should be challenged to come up with their own extensions
to this activity.