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Our Approach
The JUMP program is based on
the belief
that all children in the regular school system, even those diagnosed as
having
serious learning disabilities such as attention deficit disorders and
intellectual
delays, can excel at math. Mathematics, rather than being the most
difficult
subject, is the subject in which children can most easily succeed (and
can
thereby develop the confidence and cognitive abilities they need to do
well
in other subjects).
Over the last fifteen years, John Mighton has gathered a great deal of
evidence
to support this belief. One of his first students, who was then in a
remedial
grade six class, is now doing his doctorate in math. Another remedial
student,
who couldn't count by twos three years ago, recently completed academic
grade
ten math a year ahead of her grade level.
At JUMP, we believe there are two main reasons why the majority of
children
struggle with math:
- The psychological dimension of teaching mathematics
is entirely negelected
in our schools. In a typical classroom, at least half of the students
believe
they are not good at math. Children who don't believe they can succeed
will
never do so.
- The gap (in motivation and background knowledge)
between
the weakest and the strongest students makes the teaching of
mathematics
in a classroom of twenty-five to thirty students close to impossible.
No
amount of effort spent training teachers and developing sophisticated
manipulatives
and activities will ever help the majority of students if the unequal
distribution
of knowledge among children is not taken into account.
The JUMP program (which combines elements of the conceptual approach
now used
in schools and a more rote, operations-based approach to math) was
designed
to address both of these problems. Children are guided in extremely
mechanical
steps at first, but as they acquire the confidence and focus that comes
from
constant success, they are led to discover mathematical principals for
themselves
through games, magic tricks, puzzles, manipulatives and "toy" models of
problems.
We are convinced that new intellectual and mathematical abilities can
emerge suddenly and dramatically from a series of small conceptual
advances, just
as a chemical solution can change colour with the addition of one drop
of
reagent. Over the past 4 years, JUMP tutors and instructors have
witnessed
the same progression in hundreds of students: a surprising leap
forward,
followed by a period where the student appears to have reached the
limits
of their abilities; then another tiny advance that precipitates another
leap.
The JUMP teaching method, which has been tested successfully with
hundreds
of students, is based on the fact that virtually all of the concepts
used
by mathematicians can be reduced to extremely basic operations. In
working
with weaker students, a teacher/tutor can always break an operation
into steps
the student cannot fail to perform. This style of teaching need not be
followed
indefinitely; even the most delayed student will eventually, in our
experience,
begin to skip steps and deduce explanations for themselves. But unless
the
teacher/tutor begins with extremely simple tasks, the majority of the
students
are not likely to develop the confidence they need to do well in math.
JUMP has shown that children learn better when they feel admired and
are
confident that they will not be allowed to fail. In a regular
classroom,
only a fraction of the class usually receives a mark that is considered
good, while the majority inevitably convince themselves that the
subjects
they did badly in are too difficult or boring. JUMP teachers and tutors
receive the training and tutorial support they need to help their
weakest
students so that all children can flourish. Constant praise and
encouragement
are integral parts of JUMP’s tutoring method.
The success of the JUMP program
lies
in the details. To get a complete idea of how material is broken
into
steps and how concepts are introduced through "toy models", see the
JUMP
Teaching Manual and The Myth of Ability. To learn more about
getting
these books, please refer to our FAQs.
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