Many of you know that I am now teaching middle school pre-algebra to eighth graders in Southern California – a big change from my previous teaching of English at Western Michigan University. I’d like to share in this post today a bit about that.
I’ve been joking a lot at school with my kids about winter recently, teasing about how they don’t know what real winter is like. Many have never seen snow. Only a handful have ever even made a snowman or a snow angel; one girl added with a shrug that she had made a “mud angel” before. They don’t have any idea what its like to ride in a car down icy roads, or much less have to drive on one.
So yesterday, I told them about Michigan. And I talked about my drive from Michigan to California this past summer and explained that, like with solving math problems, there are often several routes that lead to the same destination. I explained that when my wife drove to California with her dad, that they wanted to get here as quickly as possible and avoid they mountains, so they drove south and then west as much as possible, coming through New Mexico and Arizona, a mostly desolate desert drive. Then I explained that I wanted the opposite; I really wanted to see the mountains. I wanted to see something amazing and beautiful. I had never seen the Rocky mountains and wanted to savor it and stop at scenic stops and take lots and lots of pictures; so I took a very different route that took me right through Colorado and Southern Utah.
I used the story of our two different journeys as a metaphor to explain that, just like my wife and I took different routes to get to California, people can use different methods to find the right answer in math. I explained that sometimes a certain method works better for some people because it makes more sense. Sometimes it depends on the problem; some methods just work better with certain problems. I think it eased the kids’ minds to realize that there was more than one right way to do math, and helped build their confidence.
The kids like hearing stories. They like it when a teacher gets a little bit personal and tells about their past. I used to love it when teachers did that. I remember one teacher in particular – my high school Spanish teacher – who told great stories. We always used to try to get him off on tangents, and considered it a great success if we could get him to tell a couple stories and use up the whole period instead of teaching from the book. We used to think we had tricked him to get what we wanted. Looking back, though, I realize that those stories taught me more than the actual instruction ever did. He told stories that really challenged me to think about the world differently (he was very far to the left politically – though I didn’t have any idea about politics at the time) and was probably the most formative teacher I had; he really set a foundation for many of my most core political beliefs I hold today. He told stories about Mexico that really shaped my understanding of Mexican and Hispanic culture and life. He even warned us about speed traps around town that likely saved my a speeding ticket or two after I got my driver’s license.
I think I did something similar with my own kids yesterday. They loved hearing about the snow and white Christmases in Michigan, and I think there was real learning in the telling of it, even if that learning didn’t come from a book or a lecture or a lesson plan. Math is indeed a journey. In a micro sense, it is a journey each time we solve a particular problem, making our way from the problem to the solution – just like I told my kids. But its also a journey in a broader sense, as well. Like all learning, its about getting somewhere important, about achieving a mastery of basic mathematical concepts. And we take different routes – some move quickly along, avoiding the mountains and steep upward climbs; they end up on an easier road right through Algebra 1 in eighth grade and right on up through the advanced math courses. Others struggle a bit more; for better or for worse, we go right through those mountains, up and down those steep hills. We take a couple of years at the pre-algebra level before being ready to move on. For one reason or another, we just aren’t on that same hi-track road. And that’s ok. The goal is to get there. The goal is to make that journey, even if the journey is different for different people. And on we go.
Peace out everybody – hope you have a great weekend!!! Happy Friday!!