Collaborative/Inclusive Strategies
- Adapted educational
aids are a necessary component of any mathematics class. They are
especially needed to supplement textbooks that have omitted tactile
graphics or contain poor quality ones. However, they are also needed to
help in interpreting mathematical concepts - just as their sighted peers
benefit from various manipulatives. It is very beneficial to the entire
class when the braille student's aid is a fun and useful tool for the
sighted students and teacher as well.
- Math teachers need to
verbalize everything they write on an overhead or blackboard and be
precise with their language. If the braille learner still has difficulty
keeping up, the math teacher should be encouraged to give the student/vi
teacher a copy of their overhead transparencies prior to class if
pre-prepared or immediately after. Another alternative might be for a
classmate to make a copy of their notes to share.
- Math teachers need to
give worksheets, tests, etc. to vi teachers to transcribe into Nemeth far
enough in advance, so that the braille student can participate with their
fellow students in class - not later alone.
- Relate various
mathematical applications to student activities enjoyed by blind students
as well as the sighted students -
- Put various
mathematical concepts to song or at least teach similar to an athletic
cheer.
- The FOIL method for
multiplying binomials F - O - I - L: First, Outside, Inside, Last!!!!
- Quadratic formula
sung to the tune of Pop Goes the Weasel
- Be sure to include
athletic experiences that a blind student can relate to; include the
parabolic curve of a diver, as well as the football quarterback's pass.
- Math teachers need to
realize that it is their job to teach the mathematical concepts to their
students. This is not the job of the VI teacher. The vi teacher can be
very helpful by insuring that all materials are in proper Nemeth code and
all graphics are of good quality if the math teacher is able to supply
these in print in a timely manner. However, any math teacher will tell you
that there is always that teachable moment that you cannot anticipate.
This is when it is imperative that the math teacher has some tools at
his/her disposal. It is the responsibility of the VI teacher to expose the
math teacher to the various tools and aids available to him/her. Math
teachers can be quite creative, as many VI teachers have discovered.
- Blind students should
not be excused from learning a math concept because they are blind:
"Blind students can't graph." "Blind students can't do
geometric constructions." Not only can they graph and draw geometric
constructions, with the right tools, they can often do so better than
their sighted peers. Consideration should be taken into account however
with regard to number of problems assigned. It is permissible to shorten
the assignment, as long as the student can demonstrate competence in the
content area.
- It is very important
for all students (and especially for the VI student) to use as many senses
as possible when learning a new math concept. They need to read a new math
problem, write it, listen to it, tactually explore it through
manipulatives, and when possible move their body and/or manipulative
through space. If it's a fractional problem involving food for example,
they can even taste and eat the problem.
- There is an ongoing
need for four-way communication among the math teacher, the VI teacher,
the family, and the student. Braille textbooks, materials, and aids need
to be ordered early. The source of a problem needs to be discerned as
quickly as possible - is it the math concept, the braille, or the quality
of the tactile graphic? Vocabulary in itself can be a problem. Fractions
have numerators and denominators in print and braille; however, they have
"tops" and "bottoms" in print and "lefts"
and "rights" in braille.
- For classroom test
taking, the student should be given the test in braille (with an option
for partial oral administration; for example, in the case of students with
learning disabilities who need word problems read) and supplied with
appropriate tactile graphics, aids, abacus, and/or talking calculator.
Blind students should be given at least twice the time to complete tests.
At times, it may be desirable for the blind student to take the test
separate from the group due to the needed extra time, use of aids
(especially those involving speech), and/or partial oral administration.