Oct 21th, 2008
In the rural college, the Lifting Pedagogy has helped to
organize
small groups
of students. The individual student begins to understand the
enormous
difference between what they
have experienced in the past and what is possible now. When the
pedagogy is successful, as the
semester proceeds, these groups open access to inner potential.
The focus may shift entirely from practicing skills that are not
understood and
are not in context, to comprehension. The purpose of each lecture
is to allow students to ask about any topic and yet to produce a
lecture that addresses each and every uncertainty that any of the
students might have. This requires that the topic be explained
clearly and that all students admit to following the entire
explanation.
If well supported, this community may attract other students. The
in-class support structure that is optimal includes good board space in
the classroom, and the availability of novel resources such as the
blank paper, three ring note books and paper punched with thee
holes. It would also be useful to have workshops where students
and one professor may form a temporary class that meets for two or
three weeks.
We can compare and contrast two experiences at rural HBCU colleges.
At
Talladega College, where I was Chair of the Mathematics Department
(2007-2008), students had many barriers. However, there was no
active opposition from the faculty or the administration. Over
the term of the
first semester a growing community of students began to increase in
size until, during second semester, attendance rates were close to 85%,
as opposed to the 40% rates in other classes. For the small entering
freshman class of 216 students, 80% of all students passed the two
semesters of
mathematics as compared with 25% passing in previous years.
The reason why I choose to reenter the college teaching profession at
Talladega was due to the small freshman class size, and the possibility
that all
of the freshman might be introduced to the demand side theory at the
same time. In spite of growing enrollments, I decided to make a
move to what I thought would be a better environment.
During the Fall of 2008, at LC, blank
paper
tests were demonstrating increasing awareness and
motivation, as were the daily notes taken by the students. These
daily notes are presented for a brief inspection each class day as the
student leaves the
class. The attending students are asked to find those who are not
attending
class and to share the notes, allowing friends to copy these notes and
asking friends to start attending class. As was that case last
year, average attendance in all classes was around 60%. A
specific
proposal was developed to address the attendance issue, and will be
discussed below. At the spring break, the students were given the
day off several days early, by the president of the college during his
chapel session, and from that time on the attendance was
around 30%. With these attendance rates, and due to other
factors; the Lifting Strategy appeared to fail.
Specific cultural feeling were shared by almost all students and by
many of the faculty and most of the administration. These
cultural feeling discounted the importance of liberal arts training in
mathematics, and advocated a minimal requirement for passing through
the two semester freshman mathematics classes. No developmental
program existed due the argument that developmental programs are
insulting, and yet no provision for increased support for the freshman
mathematics program was made. Professors were paid at very low
rates, were primarily working with green cards and were intimidated by
an authoritarian administration.
The Lifting Strategy challenges the student's belief that
they can not
learn mathematics. As the strategy is deployed, what developed at
TC was
a type of community, where communication between
students is enhanced. As mentioned above, the tools needed
include a classroom board where lectures may be placed and blank paper
that may be use to practice composition and eventually to develop a set
of class notes and study notes. At Talladega the boards were
perfect and could be used with great artistic expression, convaying a
love of mathematics. At LC the chalk boards were in
very poor condition, in spite of adequate funds to replace.
Attendance issues are not a concern that either college found easy to
deal with. One must understand that in the
rural college,
students have many
difficulties. Getting to class is but one of these many
problems.
The use of topic mapping strategies allows students
who miss class to nevertheless participate in measured progress from
the often agnostic orientation to a positive participatory
orientation. However, at TC the students themselves
organized around studying for my classes, and towards the end of the
semester the attendance became very positive; almost no one missed
class without appologizes before hand. At LC attendance
in all classes, not only mine, stayed at around 30% starting at mid
term.
When my colleagues and I have completed the web support
system for the Lifting
Strategy,
supporting this communication is to be done using cell phones, mobile
devices, and computers. Ideally the communication should focus on a
specific topic, not a word problem, unless the word problem is seen as
an exemplar of a specific topic theory. I was active for a while
working on a proposal to NSF to fund this, but the president's office
made no attempt to assist, and did not submit a letter of intent.
At LC it was not even possible to make a campus wide announcement
that these workshops were available to students, from noon to 2:00 P.M.
each day. Even through I have strong support from the mathematics
coordinator and from the chair of the division I could not make the
Lifting Stategy work.
On proposals to develop
technology
support for demand side theory
The descriptor set
P =
{ notation, theory, application }
enumerated the aspects of each topic. The notation required
to
communication about that
topic is needed, then the general theory, and then the exemplars.
Supply side rarely addresses either notation of theory.
The ideal web based system will allow a student to enter any
phrase or
word and either get a statement asking for clarification or a specific
introductory topic. This introductory topic will lead to one or
more additional topics and may in fact to linked eventually to every
other topic in the set
C = { topics in the
standard curriculum in Chapter }.
This ideal web based system will also have a linkage or
mapping between
C X P
and the National Council of Teachers of Mathematics K-12
focus
elements.
But more importantly, the web based system would allow each
class
section to develop a text book written by the students in pencil on
blank paper and scanned to the web.