Once when my stepdaughter was in fifth grade her teacher
assigned her a page of fractions to be converted to decimals using long
division. This touched off one of the most memorable kitchen table homework
battles. She insisted that her teacher said she couldn’t use a calculator. I
shamelessly bribed her with one M&M for each problem completed. The
assignment was finished and turned in. I vowed I would never give a similar
assignment. My stepdaughter hated math, still hates math, and is choosing a
college/career path where she will no longer take math classes. (Probably not
because of this one assignment, but it didn’t help.)
When I teach conversion from fractions to decimals, I want my
students to see the pattern. I show them how to enter the fraction as a
division problem. They fill out a similar sheet to the one my stepdaughter was
given using a calculator. We discuss what they see for a particular fraction.
For example: 1/5 = 0.2, 2/5 = 0.4, 3/5 = 0.6 and so on. By having a clear
lesson focus, seeing the patterns, I can determine when my students should use
calculators and when they should not.
In every fourth grade classroom, I have a group who struggles
to become fluent in multiplication and division facts. This gets compounded
when I want them to multiply and divide large numbers. For some, I teach the
process and let them use multiplication tables for the facts they haven’t
memorized. Others have such a lack of number sense, that they don’t see the
following pattern: 8 X 4 = 32, 80 X 4 = 320, 80 X 40 = 3200.
I showed one student this process with a calculator. What
didn’t make sense for her when she saw someone else’s completed table, made more
sense when she used the calculator and wrote down the answers. I want to
emphasize the guided aspect of this process: she was making the calculations
and writing the answers. She could begin to predict how large the products
would be based on the number of zeroes in the factors, because she was doing the
work with a calculator as a tool. I wanted her to notice those patterns by
looking at accurate answers.
This year my whole class struggled with measurement. I
developed several lessons and stations for practicing length, volume, and
weight. One of the activities involved reading food labels and computing the
volume and weight of the contents. Because my focus was on learning the
relative amounts of these measurements, I let them use calculators for the
computations. I knew they were not strong enough to multiply decimals and
fractions without a tool.
When teaching students process and strategies for computing
numbers, I don’t let them use calculators. I am clear with my students, their
parents, and myself, when I am testing them on computation and when I want them
to go beyond and study patterns and develop more complex problem-solving
strategies. After all isn’t that when we use calculators as adults?
What do you think? How do you use calculators in your classroom?
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