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Dr. Mel Levine
Students face a hefty challenge as they struggle to climb through the pathways
leading to an academic summit called success in mathematics. Once they get there,
the view is great. En route there are seemingly endless obstacles. The pitfalls
are especially troubling for students who have differences in learning that impede
their ability to think with numbers. Let’s look at some of the challenges
and the ways they might not be met. We can divide these into: knowing what you’re
doing; remembering what to do and what you’re doing, and becoming a good
problem solver.
Knowing What You’re Doing
Different students have different levels of understanding when they
engage in mathematics. Some go through the mathematical motions, while others
understand in depth such concepts as place value, factoring, and circumference.
Students with weak concept formation are apt to over-rely on rote memory.
HELPFUL HINTS: They need help mapping out the important concepts in diagrams
and getting a chance to explain them in their own words before applying them.
They also can use hands on experience applying the concept(s) outside of school
in practical ways.
Some kids have trouble understanding the technical language of math. Terms
like exponent, hypothesis, and denominator can confuse them. Also, they are
likely to become confused with word problems and verbal explanations of the
processes.
HELPFUL HINTS: These kids may benefit from keeping a personal dictionary of
key terms. They need practice looking at word problems and just identifying
what process (such as subtraction) will be needed – without having to
solve the problem. To help with problems understanding verbal explanations,
teachers should give these kids correctly solved problems (demonstration models)
to analyze and talk about.
Remembering What to Do
Lots of students go to pieces over the memory load imposed by mathematics,
which is one of the most cumulative subjects kids face; things keep on depending
upon what you’ve learned in the past, and that adds up to a colossal drain
on memory. Some kids have trouble recalling facts. Some do okay with math facts,
but have a hard time recalling how to do things (like long division). Others
have trouble remembering what they’re doing while they’re doing
it (a so-called active working memory deficit). Still others fail to recognize
and respond well to the many different recurring patterns, patterns such as
hexagons, phrases (like "is the equivalent of"), and symbols (such
as %, +, =).
HELPFUL HINTS: Try to figure out which memory part isn’t working. Then
design drill games to use for 10 minutes a night just before the child goes
to bed until the recall becomes fast and accurate (we call this automatization).
Remember, long-term memory works best right before someone goes to sleep.
Becoming a Good Problem Solver
Good work in math depends upon a systematic stepwise approach to problem
solving. Some kids try to do everything at once or they work too quickly or
they don’t consider alternative strategies, trying only the first approach
that comes to mind. Often they don’t proofread or focus enough on the
details. These shortcomings are especially common in kids with attention deficits
when they approach mathematics.
HELPFUL HINTS: Help kids like this pace themselves. Reward them for working
slowly. Give them proof reading exercises, opportunities to find errors in the
work of others. Encourage them to talk their way through problems – step
by step. Have them describe how they will solve a problem before they begin
their work. Also, have them explain the steps they used once they have completed
a problem.
Taming Math
Math can be intimidating for kids. They need practical arithmetic experiences
that are fun. Examples would be computing sports statistics, doing craft projects
that entail calculations, and playing number games. Most important, however:
don’t ever let a child get more than six months behind in mathematics.
Catching up after that can be nearly impossible, and affected students are apt
to develop paralyzing mathematics phobias.
If we understand the nature of a child’s strengths and weaknesses, we
can help any child to achieve and feel good in mathematics. It’s a matter
of finding the best itinerary and the best route through the subject’s
many possible pathways.
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