Wednesday, December 10, 2014

Teaching Students with Disabilities: A Brief Introduction

TJ Dumansky


Last week, Robert Wickham and I led a workshop on “Creating an Inclusive Classroom: Diverse Learning Styles and Disabilities.” One of the questions that this workshop addressed was: how can students with learning and sensory disabilities be empowered to actively participate in classroom discussions and activities? We considered a variety of tools and practices that can be utilized to accommodate students who have processing challenges, visual impairments, or hearing impairments that impact their learning experience in the classroom.

The theme of disabilities in education is familiar to many elementary and middle school teachers, but may get less attention in the training of college and university teachers. One study found that the percentage of teachers who felt adequately prepared to teach students with learning disabilities dropped from 44% of elementary school teachers, to 10.9% of university science teachers.[1]

A recent study from researchers at the Georgia Institute of Technology, funded by the Research in Disabilities Education program of the National Science Foundation, noted a particularly striking statistic: when college freshman entered a required remedial math course, only 15% of students with hearing impairments achieved or exceeded their recommended performance level, leading to gaps between these students and their peers. However, when appropriate learning interventions were implemented, the percentage of students with hearing impairments who exceeded their performance levels jumped to 68%.[2]

More research needs to be done to determine if these kinds of results are typical, but it should nonetheless prompt university educators to consider the sorts of habits they can adopt in ordinary classroom practices to improve the learning experience of students with disabilities. While colleges have programs dedicated to helping individuals with disabilities, such as Yale’s excellent Resource Office on Disabilities (http://yalecollege.yale.edu/student-services/resource-office-disabilities), accommodating diverse learning needs is a team effort. It requires that teachers both create space for individual students to articulate their needs, and that teachers become aware of how their own verbal and nonverbal habits might present additional challenges for students with disabilities.
 
Here are some examples of the types of things to be aware of in your preparation and in the classroom:
·      Always include information for students with disabilities on your syllabus. A school’s disability resources office can provide information on school policies and services, but also indicate how a student can contact you confidentially if they so desire.
·      For people who are visually impaired, make sure to read aloud what you write on the board. Say “this painting by Rembrandt,” or “that glass jar” instead of just the words “this” or “that.”
·      For people who are hearing-impaired and need to read lips, be sure not to stand where you are backlit.
·      Treat students as individuals first. Two people with the same type of disability can have different accommodation needs and different levels of functioning. If you aren’t sure what language to use when talking about a disability, take a cue from how a student talks about him- or herself.
·      Provide multiple modes of instructional communication: if you give verbal instructions for an activity, repeat the instructions on a handout or on a visual aid; or, provide information through both text and graphics or images.
·      Consider sharing your lecture notes with students in advance, as this can be very helpful to students who need extra preparation time.
·      Be on the lookout for “trigger phrases.” Suggestions that students who need accommodation just need to “work harder” or that they are getting “special treatment” can marginalize students with accommodation needs. Students with disabilities encounter misunderstanding and negative attitudes about their learning abilities and teachers also have a responsibility to support their social inclusion in the classroom.

If you want more information on Yale’s policies and services, check out this Faculty Guidebook (http://yalecollege.yale.edu/student-services/resource-office-disabilities/faculty-and-instructor-guidebook#learningdisabilities).


[1] Norman, K., Caseau, D., and Stefanich, G. (1998). Teaching students with disabilities in inclusive science classrooms: Survey results. Science Education 82(2): 127-146.
[2] Moon et al., (2012). “Accommodating students with disabilities in science, technology, engineering, and mathematics (STEM),” SciTrain: 37 (http://www.catea.gatech.edu/scitrain/accommodating.pdf).

Thursday, December 4, 2014

Math: Does the U.S. Teach It Well?

Elizabeth Boulton

I love math. Is that a weird thing to say? I love algebra, calculus, problem-solving math. I love working with equations and making them say what I want them to say. I like looking at the world in terms of math. When I’m driving on the highway, I try to guess how fast the cars around me are driving. Given that I am going 65 mph and I have gotten 5 car lengths (about 50 feet) closer to the blue Honda in front of me over the last 5 minutes, how fast is the blue Honda moving?

Unfortunately, there are many people in this world who don’t feel the same. Not everyone has to like math, but everyone should at least be given the tools to be comfortable with math. I have tutored many people in physics, and since physics has so much algebra in it, in reality, we spend a lot of time talking about math. It is always frustrating for me, when my tutees cannot rearrange an equation in order to find the variable they need, when they can’t figure out what equation to use, or when they can’t see how to make an equation out of the words in the problem. Let me be clear: I’m not frustrated with them. I’m frustrated because I can’t articulately explain how they can know to do those things. I can lead them through rearranging equations until I am blue in the face, but I can’t communicate any general rules that they can use for every problem.

A few months ago, a friend of mine sent me an article, “Teaching the Conceptual Structure of Mathematics.” She described herself as having hated math in school and we have discussed her frustrations many times. When she ran across this article, she sent it to me saying, “When I was a kid in math I would ask, every time, ‘but why would you use that formula there?’ and my teachers would (without fail) tell me I didn't need to know why—I just needed to memorize it and apply it on the exam.”

After I read the article, everything made sense: why so many of my students have trouble using algebra in physics, why my friend suffered through math classes, why I was frustrated at my own inability to teach my students the patterns of math. Could the answer to all of my questions be that math is very poorly taught in the United States public K-12 system?

According to the article, schools in the U.S. teach math by teaching the rules of math and having students apply these rules over and over. On the surface, this doesn’t seem like a bad way to teach, except when you consider that this doesn’t give anyone a framework to approach new math problems that maybe don’t look exactly like the ones for which they were taught the rules. The article lays out two main features of instruction that would allow students to form a framework for math. First, teachers and students need to explicitly discuss mathematical concepts. Second, students must struggle with the concepts in order to fit them into their emerging framework.

The authors of the article note two studies that corroborate these findings. The two studies looked at about a hundred teachers in each of the following countries: Germany, Japan, the U.S., Australia, the Czech Republic, Hong Kong, the Netherlands, and Switzerland. The conductors of the study found that what separated the high-achieving countries (all of the above except the U.S. and Australia) from the low-achieving ones wasn’t the class size, the kinds of problems used, nor the teaching style, “but the kinds of learning opportunities teachers created for students, namely, making explicit connections in the lesson among mathematics procedures, problems, and concepts and finding ways to engage students in the kind of productive struggle that is required to understand these connections in a deep way.” The teachers in each country gave their students two main types of problems: problems that can be solved using a procedure and problems that must be solved by making connection between previously solved problems. In every country except Japan, many more procedure problems were given. However, in every classroom, the teacher transformed some of the connection problems into procedure problems by giving extra instruction. For example, a teacher might present a connection problem, and then solve a sample problem that was exactly like the connection problem, which would transform it into a procedure problem. Figure 1 shows the percentage of connection problems the teachers in each country transformed into procedure problems.

The compelling evidence from this articled supported by my personal experiences makes me firmly believe that the U.S. is teaching math the wrong way. What can we do about this? How can the system be changed in order to provide better math education? How can we in higher education correct for all the damage that has been done in lower level math? I don’t have any of these answers, but I’m hoping that together we can come up with some.

If you found this post interested, I urge you to read the full article that I discussed, “Teaching the conceptual Structure of Mathematics” by L.E Richland, J.W. Stigler and K.J. Holyoak. Another interesting read on the same topic is “A Mathematician’s Lament” by Paul Lockhart.

Figure 1