Module
15: Teaching
Techniques for 5th to 9th Grade Students
with Learning Disabilities in Algebra
and Geometry
Ferdinand Rivera, Ph.D.
Assistant Professor, Mathematics
San Jose State University
To know how to suggest is the great art of teaching. To attain it we must
be able to guess what will interest; we must learn to read the childish soul
as we might a piece of music. Then, by simply changing the key, we keep up
the attraction and vary the song.
---Henri-Frédéric Amiel (1821–1881)
This module is intended for middle school
and high school teachers who work with students who have learning disabilities
in mathematics. This module emphasizes instructional strategies that
teachers can employ to assist all students to obtain successful and
meaningful experiences in doing mathematics.
The basic math content that is addressed
in this module has been drawn from common national and statewide requirements.
Mastery of fundamental concepts in algebra and geometry will enable
students with learning disabilities in mathematics prepare for the
exit examination, a necessary component for obtaining a high school
diploma.
Students who have learning disabilities in mathematics have weak perceptual
and abstraction skills. By using instructional strategies that will
assist students to overcome their weaknesses, teachers become effective
facilitators in students’ growth in mathematical understanding.
In this module, teachers
will obtain knowledge of at least eight research-based strategies
for teaching students with learning disabilities in the areas of
algebra and geometry. Teachers will also develop appropriate skills
for: addressing the needs of students with learning disabilities
in algebra and geometry; facilitating growth in students’ understanding
of concepts, processes, and problem-solving in algebra and geometry.
There are eight lesson sessions that
are contained in this module. The themes below are intricately intertwined
in all of the lessons. The first session explores in detail what
research says about the characteristics of students with learning
disabilities in mathematics. The second session continues from the
first session with an emphasis on domain-specific instructional principles
that are appropriate for students. The remaining six sessions address
specific research-based strategies for assisting students in understanding
key concepts in algebra and geometry. Lecture notes, PowerPoints,
and activities are provided for each session. Although each lesson
session could stand on its own (that is, there are no difficult prerequisite
knowledge or background needed to understand the target material),
teachers are strongly encouraged to read through all the sessions
and make connections among them so that they have a better understanding
of what it means to teach students algebra and geometry.
The three themes below are included
in this module and are constantly addressed in all eight sessions.
I.Establishing
a Balance Between Conceptual and Procedural Understanding of Algebra
and Geometry
II.Fostering
Growth in Mathematical Understanding Through Experience and Abstraction
III.Becoming
an Effective Mathematics Teacher of Middle and High School Students
with Learning Disabilities in Mathematics