Support Diverse Learners in Mathematics

"Supporting Diverse Learners: TeacherCouncil of Teachers of Mathematics."
Collaboration in an Inclusive Classroom," by WendyWe have students achieve success in reading and
S. Bray, copyrighted in 2005 by The Nationalwriting through individualized instruction, where
Council of Teachers of Mathematics, focuses onthey learn at their own pace, so why don't we do
the need of collaboration between generalthis in math? I feel that the idea that this article
education teachers and special education teacherscircles is a great one. To learn math students
to facilitate fair and successful learning for eachneed to participate in discovery learning. They
individual student. This article speaks mainly toneed to understand the "why" of mathematics
general education teachers about reform basedbefore they are really going to begin to
mathematics and how general classroom teachersunderstand and learn the concepts. Students also
can implement this new style of learning in a wayneed to learn at their own pace. Everything is
that will benefit all students, even special educationconnected in mathematics and if students do not
students. Furthermore, the article searches forunderstand one concept before the class moves
ways to help special needs students learn in theiron to the next, pretty soon that student is going
own special way, in order to keep up with theto fall way behind.
other students in their regular classroom.This is unfortunately what happens to most
The article begins by discussing the challengeslearning disabled students that are integrated into
learning disabled students face when integrated inthe regular classroom. So, in my own classroom I
a classroom that uses the reform-based,will try to implement the constructivist approach
constructivist mathematical approach, whichfor learning mathematics and simultaneously
focuses on whole group discussions, small groupcreate an atmosphere where every student can
discussions, and problem solving. Some of thesesucceed, no matter what pace they learn at. I will
problems include: LD students not participating anddo this by creating learning centers around my
or "focusing on nonmathematical aspects of tasksclassroom. The subject of these learning centers
(Bray)." Next, the article discusses how a group ofwill be based on the mini-lesson that is taught the
teachers manage this type of classroom. Onefirst day. Students will pair up and move around
tactic they implemented is "small, teacher-ledthe learning centers at their own pace. The
groups (Bray)" where the teachers played gamesbeginning stations will focus on the "why" of the
and did other activities, encouraging the studentsconcept, helping students deepen their
to talk about their mathematical thinking.understanding, so that when they work their way
Another tactic the teachers used is breakingaround to the other stations they will be ready to
students up into groups according to their abilitytry a variety of ways to solve the problem, with
and what they needed to work on. In thesethe collaborative help from their partner.
groups teachers did not just tell the studentsBefore each pair moves to the next station I will
what to do to solve a problem, but instead theycheck their answers to make sure they are
asked the students questions to help them figureprogressing in their understanding correctly. We
out on their own what they needed to do. Thesewill do this the entire week, giving those students
teachers also gave their students "opportunitieswith learning disabilities plenty of time with their
for choice (Bray)," which allowed students topartners to understand the concept. Some pairs
choose what they wanted to work on, individually,will finish before the end of the week. These pairs
with a group, or with the teacher. This gave thewill continue to work on the concept, but at a
teachers the opportunities to work with studentshigher level. At the end of the week the class will
individually. The end of the article discussed howdiscuss what problem-solving techniques they tried
the three teachers collaborated to discuss theand what they have learned.
progress of individual students, and what shouldThis article was very useful. I had never thought
be done to help them continue to grow.of grouping students according to ability in math. I
This article was written by Wendy S. Bray, "ahave heard the effects of this grouping in other
doctoral candidate at the University of Northsubjects as a valuable way to individualize
Carolina at Chapel Hill (Bray)." She is a "formerteaching, and I was surprised that I have yet to
elementary classroom teacher," and "her researchsee this technique implemented in mathematics. I
interests include mathematics education andwholly agreed with all the approaches these
teaching strategies that facilitate learning forteachers took in this article, except for the
students with special needs (Bray)." Herapproach took in the "Opportunities for Choice"
information came from her research, and hersection. It seems that the students would just
information was supported by excerpts frompick something that they were good at if given a
various books and journals of educationchoice to work on anything.
professionals including: "Effects of Reform-BasedI know I wouldn't choose something that I had
Mathematics Instruction on Low Achievers in Fivetrouble with. I am skeptical that this approach
Third-Grade Classrooms" by Baster, Woodward,would help students very much. Otherwise, this
and Olson; "Mathematical Problem-Solving Processarticle gave me much insight as how to help
of Primary-Grade Students Identified as LD" bystudents with learning disabilities grow in the
Behrend; "Four Variables for Success" byclassroom with regular classroom students. This
Coleman; "How Effective Is Inquiry Learning forapproach allowed more opportunities for students
Students with Mild Disabilities?" by Mastropieri; andto discuss their ideas and deepen their
"Mathematical Instruction for Elementary Studentsunderstanding, while providing them with the help
with Learning Disabilities" by Thornton. She alsothey needed to understand concepts that would
ascerts that her information supports the Equitybe integral for their understanding in future
Principle, which she also cites from the "Nationallessons.