Monday, October 7, 2013

Calculator Usage in the Classroom



I love my calculator collection! I am a happy nerd with my different calculators, I tend to stick with the Texas Instruments, but have owned a few outside of that family. This is my current stash of calculators:
TI-83 - this was mine from High School
TI-82 - my high school had classroom sets of these, and I recently found a bargain at Goodwill for 5 bucks! Obviously, I couldn't pass that up!
TI-86 - my absolute ALL TIME favorite calculator! I completely love this calculator. It was stolen a few years ago, fortunately despite it being discontinued several years ago I was able to find another on eBay.
TI-Nspire Touchpad (with the TI-84 Plus keypad) - I got this one at a FREE Pre-service teacher professional development opportunity. This one has both the TI-Nspire platform AND the TI-84 Plus capabilities with the switch of a faceplate! Super awesome system. The Nspire platform is awesome, it is essentially a handheld computer with file storage capability and the ability to have multiple screens.
TI-30 XIIS - this is the scientific calculator that Ohio uses for their OGT, so it was recommended to my students. 
TI-30XS - this one is pretty cool because it simplifies radicals.
TI-34 – Nothing special going on with this one.
TI-30XA - I got this one to be able to help some of my students who had this model or something similar. This one has the one line display, which is tricky for students to understand HOW the numbers are being interpreted by the calculator.

I totally judge a calculator by how it responds to a negative number squared, meaning if I type into a calculator -8^2 and the calculator responds with -64, I like that calculator. If it gives me anything else, I question everything about the calculator!

We are in a year of transition. New standards, new assessments and new policies. While we will still be administering the same Ohio Graduation Test and Ohio Achievement Assessment this school year, next year's assessments will be dramatically different: new standards to assess, new method of testing (all computer based), and new calculator policies.

 


For the PARCC assessments our 6th and 7th Grade students will have access to a four function calculator with a square root function. I believe it will look similar to this online calculator but will also include the square root ability. 


Our 8th Grade students will have access to a Scientific Calculator. There are many different ideas of what the Scientific Calculator will look like, but this is an example of what it MIGHT look like. (This is what the scientific calculator looks like on ALEKS.)


Finally, our students in high school mathematics courses will be given access to a Graphing Calculator, PARCC has said that the functionality will be similar to that of the TI-84. Despite the fact that PARCC released the additional information about what the calculator will be modeled after, I believe this one is the most difficult to predict. It could look like the Scientific Calculator with additional graphing/tables functionality or it could look totally different. Below is a sample of what it could look like, but as I stated, this one is the most difficult to predict.


If we are being asked to assess students in "real-world" situations, the reality is that we all do carry around calculators with us all the time. In the past when teachers said, "What are you going to do? Carry a calculator around everywhere you go?" We never envisioned that ever being a reality, however with cell phones it really has become that reality. That said, there are tasks that need to be done without a calculator. We need to teach students when it is appropriate to use this tool, and we need to teach them to be "smarter" than the calculator. Students need to have good number sense to be able to assess if the answer on the calculator is valid.

The fifth Standard of Mathematical Practice is "Use appropriate tools strategically." This would undoubtedly include calculators. We need to be teaching students WHEN it is appropriate to use a calculator, and when it would be best not to use the calculator. One of the major shifts in the calculator policy is that the PARCC Assessments will give students access to their appropriate calculator for some questions and then on other questions there will be no calculator available. 

For these reasons, I believe we need to be assessing students in the classroom with both calculator sections and non-calculator sections. We need to have teaching days with and without the calculator. Encouraging students to do problems without the calculator, then checking their answer with a calculator.

For anyone interested, this hydro calculator is high on my list of wants…what?! A calculator that runs on water just sounds too cool!


Happy calculating!