The saying is, “Practice makes perfect.” However, this is
not necessarily true.
It’s more precise to say, “Practice makes permanent.” Only
when the practice is correct does it make perfect. Practicing bad habits simply
reinforces those bad habits.
This is true regarding sports, academics, and anything else.
But let’s focus on math drills.
The spirit of math drills is to provide ample practice with
the hope that the technique will become both permanent and correct.
This works when there is frequent feedback. Students need to
have their answers checked frequently so that they can see if they are solving
the problems correctly.
There is some controversy over traditional math drills. Some
still embrace them, while others hate them.
The problem that teachers have with employing traditional
math drills in school is that some students may become bored.
The weak students get frustrated by not being able to solve
the problems, or not really wanting to learn how to solve them. Having to do
things they really don’t like over and over doesn’t improve their learning.
The top students catch on quickly and get bored as soon as
they’ve mastered the material.
But this doesn’t mean that math drills don’t work. There are
many people who have become extremely fluent in mathematics through ample
practice this way.
Teachers often strive to engage all of the students on the
same activity. They want students with different learning styles, capacities,
background, and interests to all get interested in the material and to all
learn. To some extent they may be able to apply differentiated instruction.
Nonetheless, math fluency is severely lacking and needed
with many students. Many parents turn to traditional math drills to help
improve their kids’ fluency, remembering that these techniques worked well for
them.
Some parents use such drills to help their gifted children
advance ahead of the class. These students are bored in school, yet are engaged
by the same drills that others call “boring.”
Other parents use these drills to help weaker students
become more fluent through practice.
There are also still many teachers who find effective ways
to use traditional drill sheets. Variety helps, both in the nature of the drill
and by combining drills with other methods of instruction. Giving sheets of
differing difficulty helps to improve the levels of all students.
Some home-school teachers also make extensive use of drill
books.
Becoming too fluent in mathematics or learning too much math
is never a problem, but lack of fluency can be a hurdle.
Chris McMullen, author of the Improve Your Math Fluency series of workbooks
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