Jennifer's Reflections EDRD5210
Wednesday, November 3, 2010
Blog 5
Tuesday, October 19, 2010
online math courses
Gallagher was quite repetitive in chapter 4; I thought he could have made his point in a few pages. So, I'm going to introduce you to my inquiry paper topic.
Take the following equation, the Quadratic Formula, which is used in Algebra II (probably Math 2 in GPS, but I can't promise that). You probably remember it with a song: "negative b, plus or minus, square root of b squared minus four a c, all over two a" to the tune of some famous song that I can't remember the name of right now.
What does it take to put that equation on this blog page? It's an image, a .gif to be exact. So, when a math teacher creates a test, he or she typically uses an equation editor to format the symbols. Then, the equation editor creates the image, and the teacher drops the image onto the document. Once the image is created for a particular equation, it cannot be edited on the webpage if you don't like it. You have to go back to your image creating software and make it work there. Have you ever worked with images in a word processing document? Probably so. Can you imagine the labor required to create an image of an equation for every single question on your quizzes, tests, and other documents? That's not even talking about graphs....we'll stick to this one image for today.
Now, what if you are teaching an online math course? You have to create images for each equation that you want on your BlackBoard page, but you're used to the process because you do it all the time. What about the students? When they do their work, will you require them to learn how to create the images for the equations? Not all of them will be math teachers, but they'll hate math forever after they learn how to create equation images just for your one course!
As I see it, there are several options for teaching students to communicate in online math courses. First, we can teach them and require them to create images of their equations. That would look like the equation above. Second, we can have them scan their handwritten work, which will allow them to show their steps without learning how to type it all out. Third, we can require only answers to the problems without showing any work (let's be honest, we know that's not a good option, but it sure is the easiest!). Fourth, we can teach them to use the characters available to convey what they mean. If I wrote an email to a math buddy of mine, I'd show the Quadratic Formula above by typing
x = [-b + - sqrt(b^2 - 4ac)]/2a
Would you rather teach students to create images of equations, or would you prefer to teach them to type their equations using the available characters?
I've taught an online course, and my lessons were handed to me my first year. My 8th graders from all over the country couldn't have typed anything close to the Quadratic Formula, but they weren't expected to because they were in pre-algebra. I struggled to read their work, and I debated all summer with myself about whether I should teach them how to type what they mean. That course is the inspiration/frustration for my inquiry paper.
Somewhere along the way, we have to teach students how to type what they mean. That's where literacy comes in for me. Symbols are a huge part of math literacy, and creating the symbols they want is a problem for online math students. If we are going to have them create images, then we have to teach them how to do it (they don't teach math for a living after all). If we're going to have them scan their documents, then we have to make sure they know that going into the course so they can have all of the technology available to do it. If we're going to teach them to type using the available characters, then someone has to teach them that somewhere along the way. If you are their first online math teacher, then you get to teach them how to do it.
I located some research that confirms my suspicions that there are no good options for math teachers using online media. People are creating equation editors for online media, and I've used a couple of them. The code looks like HTML with bracket tags
Now, enrolling in a good online math course will get you an introduction to computer coding as well. Eventually, we'll stop teaching students how to use the editors because they'll learn the coding at such an early age that we will be able to assume they know it already when they get to our courses. In the meantime, though, we'll need to think about how we equip students to convey their ideas. It sounds like literacy in math class will be informed by literacy as it relates to learning computer code.
I guess another option is to never teach an online math course...!
(My apologies to the English and social studies folks out there who use standard text to convey ideas in your disciplines; these issues might never cross your path except for my inspiration/frustration about them.)
Thursday, September 30, 2010
Blog 3
I have been given books a lot in the last several years. My dad gave me Wait Till Next Year, and schools I've worked at have given me a book almost every summer to read. After we got married, I brought my summer reading books home to my husband, who I knew would appreciate them more than I would. Given an entire summer to read a single book, I have not managed to make it happen since high school. It took me a long time to finally read Wait Till Next Year, and I liked it. After that, I remembered a book from high school that I liked. I bought it and read it again. Now, that's saying something about a book! (Or maybe it's saying something about the person who reads the book...!) Maiden Voyage has resonated with me in different ways both times I've read it.
My husband has experienced the "reading flow" more times than he can count, and I have found myself surprised by how time has flown when I read only a handful of times in my life. When I compare myself to my husband, I realize how far away from "loving" reading I really am. Is it the reading flow that makes a person love a book? Or is it overanalysis or grades that make one hate a book?
Gallagher wants to split the time between reading for coursework and reading for pleasure, but I wonder if it's too late to get kids to enjoy reading by the time they get to middle or high school. Is it possible that they have already decided what relationship they will have with books by that time? If not, then maybe we would do well to spend more than 50% of the time letting them choose their own books to read without being graded on their work.
Wednesday, September 15, 2010
Blog 2
However...
I want my students to do math during the summer, and I want my non-math colleagues to do real-world math throughout the day. Math skills are lost in the summer just like Gallagher says that reading skills are lost. Math is important in disciplines that are not specifically called math just like reading is important across the curriculum. I find myself feeling the need to defend my subject and its importance when I read Gallagher. He comes across to me as either arrogant, ignorant, or short-sighted, but maybe that's because he's talking to someone else, certainly not me. I don't dismiss Gallagher simply on the grounds that he's not talking to me, but I will keep that in mind in the remaining three chapters of the book.
I think it's fair to say that I'm much more interested in disciplinary literacy than I am in general reading. I want kids to be able to read and to know who's who in politics and government (Why doesn't Gallagher ask who is supposed to teach his students about al Qaeda?), but I also want to empower kids who could be good at math with the time and resources to develop those skills.
In my first school placement, I observed students in a computer lab on three different days. I saw 7th graders working through lessons keyed to their math standards on a program called "Ascend." The 8th graders were working on their standards using Ascend in the lab the next day. From a math teacher's perspective, I thought Ascend was of reasonable quality and user friendly. Another day, I was in the lab when a language arts class was working on their reading skills in a program called "Reading Plus." If any language arts or reading teachers read this blog, I would love to hear what you think of Reading Plus. I was shocked to see students working on reading speed in Reading Plus, especially when I realized that I could not keep up with some of them! I haven't yet read anything from Gallagher about reading speed, but I'll read with interest about its value if he has anything to say about it.