"Supporting Diverse Learners: Teacher Collaboration in an Inclusive Classroom," by Wendy S. Bray, copyrighted in 2005 by The National Council of Teachers of Mathematics, focuses on the need of collaboration between general education teachers and special education teachers to facilitate fair and successful learning for each individual student. This article speaks mainly to general education teachers about reform based mathematics and how general classroom teachers can implement this new style of learning in a way that will benefit all students, even special education students. Furthermore, the article searches for ways to help special needs students learn in their own special way, in order to keep up with the other students in their regular classroom.
The article begins by discussing the challenges learning disabled students face when integrated in a classroom that uses the reform-based, constructivist mathematical approach, which focuses on whole group discussions, small group discussions, and problem solving. Some of these problems include: LD students not participating and/or "focusing on nonmathematical aspects of tasks (Bray)." Next, the article discusses how a group of teachers manage this type of classroom. One tactic they implemented is "small, teacher-led groups (Bray)" where the teachers played games and did other activities, encouraging the students to talk about their mathematical thinking.
Another tactic the teachers used is breaking students up into groups according to their ability and what they needed to work on. In these groups teachers did not just tell the students what to do to solve a problem, but instead they asked the students questions to help them figure out on their own what they needed to do. These teachers also gave their students "opportunities for choice (Bray)," which allowed students to choose what they wanted to work on, individually, with a group, or with the teacher. This gave the teachers the opportunities to work with students individually. The end of the article discussed how the three teachers collaborated to discuss the progress of individual students, and what should be done to help them continue to grow.
This article was written by Wendy S. Bray, "a doctoral candidate at the University of North Carolina at Chapel Hill (Bray)." She is a "former elementary classroom teacher," and "her research interests include mathematics education and teaching strategies that facilitate learning for students with special needs (Bray)." Her information came from her research, and her information was supported by excerpts from various books and journals of education professionals including: "Effects of Reform-Based Mathematics Instruction on Low Achievers in Five Third-Grade Classrooms" by Baster, Woodward, and Olson; "Mathematical Problem-Solving Process of Primary-Grade Students Identified as LD" by Behrend; "Four Variables for Success" by Coleman; "How Effective Is Inquiry Learning for Students with Mild Disabilities?" by Mastropieri; and "Mathematical Instruction for Elementary Students with Learning Disabilities" by Thornton. She also ascerts that her information supports the Equity Principle, which she also cites from the "National Council of Teachers of Mathematics."
We have students achieve success in reading and writing through individualized instruction, where they learn at their own pace, so why don't we do this in math? I feel that the idea that this article circles is a great one. To learn math students need to participate in discovery learning. They need to understand the "why" of mathematics before they are really going to begin to understand and learn the concepts. Students also need to learn at their own pace. Everything is connected in mathematics and if students do not understand one concept before the class moves on to the next, pretty soon that student is going to fall way behind.
This is unfortunately what happens to most learning disabled students that are integrated into the regular classroom. So, in my own classroom I will try to implement the constructivist approach for learning mathematics and simultaneously create an atmosphere where every student can succeed, no matter what pace they learn at. I will do this by creating learning centers around my classroom. The subject of these learning centers will be based on the mini-lesson that is taught the first day. Students will pair up and move around the learning centers at their own pace. The beginning stations will focus on the "why" of the concept, helping students deepen their understanding, so that when they work their way around to the other stations they will be ready to try a variety of ways to solve the problem, with the collaborative help from their partner.
Before each pair moves to the next station I will check their answers to make sure they are progressing in their understanding correctly. We will do this the entire week, giving those students with learning disabilities plenty of time with their partners to understand the concept. Some pairs will finish before the end of the week. These pairs will continue to work on the concept, but at a higher level. At the end of the week the class will discuss what problem-solving techniques they tried and what they have learned.
This article was very useful. I had never thought of grouping students according to ability in math. I have heard the effects of this grouping in other subjects as a valuable way to individualize teaching, and I was surprised that I have yet to see this technique implemented in mathematics. I wholly agreed with all the approaches these teachers took in this article, except for the approach took in the "Opportunities for Choice" section. It seems that the students would just pick something that they were good at if given a choice to work on anything.
I know I wouldn't choose something that I had trouble with. I am skeptical that this approach would help students very much. Otherwise, this article gave me much insight as how to help students with learning disabilities grow in the classroom with regular classroom students. This approach allowed more opportunities for students to discuss their ideas and deepen their understanding, while providing them with the help they needed to understand concepts that would be integral for their understanding in future lessons.
Bray, Wendy. "Supporting Diverse Learners: Teacher Collaboration in an Inclusive Classroom." Teaching Children Mathematics February 2005: pp. 324-329.
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