Saturday, June 1, 2013

Calculator in elementary school

Calculator in elementary school

There are many different opinions about the use of calculators in grade school. I personally believe that calculators should be used as a tool to ENHANCE THE LEARNING PROCESS.

Unfortunately, most children who are allowed to use calculators early on become dependent upon them and don't learn their basic math facts. There is a group out of California who call themselves the Mathematically Correct Group, who firmly believe that calculators are the ruination of children learning math.

There was a recent article in the UK News (July 6, 1998) stating that school children up to the age of 8 will be banned from using calculators. The restriction is part of "a drive to improve mental arithmetic."

I believe that since there is so much abuse of using the calculators, that administrators feel the pressure not to allow calculator use at all!

Calculators can support development of number sense and operations when children are given appropriate problems, (suggestions in NCTM Addenda Series) and students can certainly discover when they are useful or not.  It might be interesting to find out whether students think the calculator helped them to learn your material and in what way. I wonder what grade level you will be investigating.

To find calculator activities for primary students is a challenge, and like so many other topics, there will only be a few ideas to fit your group of students in any one resource. However, once the calculators are in the room and the teacher is willing to let children use them, lots of opportunities will come up.

We have tried using the constant feature to let children count things in the room. For example, on the TI-12 you press + 1 = and then every time you press the = key, the display increases by one. So if the children want to count the number of tables in the room, or the number of shoes, they simply press the = key once for every item and read the display. This is not necessarily a better way to count, but it's one that gets a calculator in their hands. 

To do skip counting, press the number you want to count by, then +, and then =. For example, with 5 + =, each time you press = the display increases by 5. The teacher might ask the students: What is happening when you press the = key? Could the calculator count by 3's? What do you think you will see if you press the = key 3 more times? 5 more times? How can we make the calculator count by 10's? Is 78 a number we will get when we count by 10's?  How do you know? etc. 

Other ways to get this constant feature are to press 0 + 5 =; or 5 + + +.  If one method won't work on your calculator, try another. 

Young children have heard about multiplication, and with a calculator the mystery becomes doable. Last year my kids had fun making a game. They began with a 3 x 3 grid like tic-tac-toe.  A product would be entered in each square of the grid. The factors were written in a row below the grid. Players would take turns choosing 2 factors and putting a chip on the correct factor on the game board. The winner placed 3 in a row. The calculator was handy in creating the game and checking during play. Multiplication "facts" were memorized pretty quickly.

Another calculator game we liked was "Target 21."  Two children use one calculator and take turns pressing a 1, 2, or 3 followed by =.  The winner is the first player to make the display read 21. After playing a few games, we talk about strategy and each child writes down the strategy s/he used to get 21. Before long, 2nd graders are hard to beat! Yep, it's a nim game 20th century style.

Another activity is to write a number inside a square and then ask the children to put a number at each corner of the square so that those 4 numbers add up to the number in the middle. Or, you might ask kids to use the calculator to list ways to make the number of the day's date - how many ways are there to make 17? 

"Using the Math Explorer Calculator" by Bitter and Mikesell has a section on higher-order thinking skills for K-3 with some good activities. Two books with good calculator work are "Calculator Exploration and Problems" by D. Miller (1979), available from Cuisenaire, and "How to Develop Problem Solving Using a Calculator" by J. Morris (1981). Although these books are for upper elementary, I have adapted some of their ideas. The Addenda Series on Patterns for K-6, published by NCTM, also has good primary calculator activities.  We use the TI-108 and sometimes the TI-12 at the primary level.

4 comments:

  1. I think this is really important, the use of calculators in school, and again, it always comes back to the basic operations. Students become so dependent on calculators that they're not able to do basic multiplication anymore. And yes, they will get by just fine without the basic facts (usually) but I feel like they should still be able to do basic multiplication. Calculators should only be used for skills that are not possible and/or very difficult to do on paper (eg. trig ratios, finding the square root of non-perfect squares). But that's another discussion!

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  2. This is a debate that will go on forever. One argument is that students are forgetting the basics and relying too much on their calculators. On the other side, calculators reflect the real world as many people use calculators in the workplace, thus making their knowledge of simple arithmetic less necessary. I am not sure where I stand on this, but there are definately good arguments on both sides.

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  3. I feel like calculators should be used to make your life easier. If you're doing a complicated or challenging problem, or maybe even just a problem with many steps, then I don't have a problem with using a calculator. You still have to know how to do the math. The calculator should not be a replacement for learning basic math skills, and I'm really not sure that it should have a place in the primary math classroom.

    With that said, some of the games/activities you listed sounded kind of fun! :)

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  4. I am pretty against calculators...at an early age. Frankly I don't see the need for them in elementary schools. The math isn't complicated enough to require them and I strongly believe in the younger students forcing themselves to use their brains to multiply or divide rather than letting a calculator do all the work. This isn't going to help them in later years (or life for that matter). I do believe high school students should be allowed to use them though. When you start getting into more difficult math, the basics aren't the focus anymore. I was a great math student but even still once in awhile I would double check something as silly as -8-3 on my calculator during a test. Sometimes it's just nice to have the re-assurement of the calculator when you are stressed during a test and starting to doubt yourself. Why make small calculation errors when what you are actually being tested on is whether or not you can factor and solve quadratic equations!

    So all in all, I am against calculators in elementary school and pro calculators in high school.

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