Students with learning
disabilities in math are able to strengthen their mathematical knowledge
when they are provided with ample examples and practice.
Examples and problems taken up in class for students with learning
disabilities in math should contain enough variety so that students
do not end up with misconceptions resulting from a limited understanding
of the concept or process being discussed.
The type of examples and problems should also range from routine
to nonroutine and from simple to complex.
Presentation and sequencing of examples and problems also count.
students with learning disabilities in math should be exposed to
them gradually. For example, if problem types range from less involved,
involved, to more involved, students with learning disabilities
in math should achieve success one type at a time. Integration between
two types is possible only when students with learning disabilities
in math have mastered each type.
Providing students with learning disabilities in math with massed
practice involves giving them exercises and items that target the
same concept, skill, or process. This is always the first stage
in assisting students with learning disabilities in math obtain
success and achieve mastery and control over the target knowledge.
Providing students with learning disabilities in math with opportunities
for distributed practice should also be done. Distributed practice
involves giving students with learning disabilities in math problems
of a particular type that have just been discussed, including problems
of another type that have been learned in a previous lesson. Another
term for distributed practice is integrated practice.
In the following examples, the number of exercises should vary
depending on the kind of students and their levels of competence.
Algebra Example: Solving linear equations:
Day 1:
Massed Practice: Ask students with learning disabilities in math
to solve equations of type 1: x + a = b.
Example: 1. x + 3 = 5 2. x + 7 = 9 3. x – 4 = 7 4. x –
1 = 3
5. x + 5 = -7
Day 2:
Massed Practice: Ask students with learning disabilities in math
to solve equations of type 2: ax = c.
Example: 1. 3x = 9 2. 4x = 8 3. 4x = 7 4. 2x = 3
5. –3x = 8
Day 3:
Distributed Practice: Ask students with learning disabilities in
math to solve equations of types 1 and 2.
Example: 1. 2x + 3 = 7 2. 3x + 5 = 8 3. 2x – 3 = 7
4. 3x – 1 = 8 5. –2x + 1 = 5
Geometry Example: Calculating Areas
Day 1:
Massed Practice: Items involving asking students with learning disabilities
in math to find areas of triangles of different types (right, isosceles,
scalene, equilateral, obtuse)
Day 2:
Distributed Practice: Items involving asking students with learning
disabilities in math to find an unknown side given the area of a
triangle of any type.
Note: For Day 2, the items require an additional knowledge of solving
linear equations of the type ax = c.