When I think of a math activity that really flexes it’s muscles, I’m reminded of the activities that could reasonably be solved multiple different ways with no method being preferable on the surface. These are tricky to create (or to find and steal). They are also somewhat taxing on your students (especially if they aren’t used to this kind of problem-solving). It requires a more intense, higher-order level of thinking.
Many schools are reaching the stage where students are carrying around smart devices. Increasingly schools are issuing them (we are up to 4 districts in our country that are now 1:1). Also, in many districts, students can be trusted to bring smart phones in with them. With all of these devices available, it seems like we could integrate a new set of tools into our tool box for consideration. We should design activities that allow the students some control over what mathematical techniques they choose to employ. But increasingly, it’s making more sense to also allow the students some control over what tech tools they are making use of.
That is a nerve-racking idea for some, especially since as soon as students start dabbling in technology that the teacher is unfamiliar with, they become their own tech support. There is a very real (and perfectly understandable) anxiety over students using technology pieces that the teachers aren’t familiar with. But we could flip that on it’s head.
First, we could model some of the tech pieces that we are familiar with.
Consider an activity where in the students use a Google Form to poll their classmates, then enter the data into a Desmos sheet to do the analysis. The formative assessment of the analysis could be done on Socrative or Google Forms.
I mean, this is a standard math task: Gather some data, represent it visually, analyze, and produce a product to submit to your teacher. What makes this different it two-fold: First, some of the more annoying parts are going to be relieved by the technology (namely recording the data, plotting the points, and drawing/calculating the best fit line… those are also the parts that create barriers to our students with special needs). Second, you are giving the students meaningful experience using their technology for something that makes their school work easier and more productive. (Imagine that… both easier and more productive… both…)
One of the goals of an activity like this is the students gaining an appreciation of the roles of each of those different technology pieces, in the same way as we give them specific prescribed practice with the math skills to gain comfort. But it should stay there in either case. At some point, the students need to build in a working understanding of each of the tools in their tool box – math, tech, or otherwise. (I was even vulnerable to whining… the right kind… used at the right time. Proper tool for the proper job.)
Then, when we unleash our students to solve a problem by any means necessary, with a proper foundation underneath them, we run a much lower risk of them choosing something completely off-the-wall. Students might replace our technology with choices of their own, but if they know that we have a standby that will work, then often the replacement is something they find more useful… and it might be something we’ve never seen before… and they might be able to teach us how to use it.
And never underestimate the power of allowing a student to be the expert in the room once in a while.