| Step
2: Selecting the Appropriate New Curriculum |
 |
We
have already determined a direction to go in secondary school
mathematics, but we want more information about these programs.
|
Presumably you are convinced that, for the sake of our students,
change from the "traditional" (i.e. pre 1980) mathematical
education of students needs to happen. If not, we suggest you
review Step 1 on the "Choosing
a Curriculum" page.
|
A next step is to decide what mathematical experience you want
your students to have. As you know, this requires a balance between
standards (NCTM
standards, state standards or guidelines, and any local standards
or frameworks that exist), the educational vision in your district,
and what materials exist to support and/or shape your vision.
There are several ways to proceed. Probably one of the most effective
ways would be to set broad goals for students (without sequencing
of topics, yet) and then look more closely at all three matters
(standards, vision, and materials) simultaneously.
|
Currently, there are no federal standards for secondary school
mathematics education. The NCTM Standards (see Step
1 and Bibliography) - which
have been agreed upon by a multitude of teachers, mathematics
educators, mathematicians, policy makers, business and industry
leaders, and other concerned and informed individuals - are suggested
guidelines for what students should know and be able to do in
school mathematics. Regulation of curriculum occurs at the state
or district or, sometimes, the school level. Therefore, you will
need to be familiar with your state and local guidelines, frameworks,
and/or standards or other regulations concerning choices of instructional
materials. At present, forty-two states have frameworks that shape
the secondary school mathematics education of students. Some states
or districts have written or rewritten their frameworks in a way
that provides for considerable flexibility at the local level.
You may also need to be aware of any policies and procedures that
may apply if your decisions on what is best for your students
conflict with the above frameworks or guidelines. Some states
or districts may have provisions for exceptions or waivers for
programs that to some degree conflict with the state guidelines.
|
If possible, we strongly suggest that you select an existing
curriculum in your adoption process that could be adapted to meet
local needs and vision, rather than try to develop a curriculum
and supporting instructional materials from the beginning. It
is extremely difficult and time consuming to develop a consistent,
cohesive, and effective curriculum from scratch. A significant
advantage of choosing one of the curricula associated with COMPASS
is that each curriculum has been through a rigorous, multi-year
program of design, testing, and evaluation by teams of secondary
school teachers, mathematics educators, mathematicians, and professional
evaluators before becoming commercially available. This rigorous
development program was made possible, in part, through funding
provided by the National
Science Foundation.
|
We support the selection of one or more of the curricula associated
with COMPASS for many other reasons. The overarching reason is
that each of these curricula provides a cohesive, modern mathematical
experience for all students that illuminates the essence and value
of mathematics in a way that has not been available to most students
ever before. Furthermore, each curriculum addresses the dual role
of preparing today's students with mathematical abilities which
are useful to an enlightened citizenry as well as preparing students
for further study of mathematics beyond high school. In each curriculum,
mathematical reasoning occupies a central position. Basic facts,
however, are not sacrificed. Moreover, each of these curricula
is integrated, providing a synergistic blending of topics from
several mathematical disciplines including algebra, geometry,
probability and data analysis, and discrete mathematics. Each
utilizes technology in meaningful ways. Each outlines a variety
of ways to assess student learning. Yet, each of these programs
provides a different model of curriculum development by providing
a somewhat different choice of topics, sequence of topics, and/or
mathematical emphasis.
|
While there are slightly varying approaches to pedagogy, the
emphasis in all of these curricula is on active student learning.
Since these curricula suggest changes in virtually every phase
of instruction (from content to pedagogy, use of technology, and
assessment), the materials in each program are quite different
from traditional instructional materials. (Note: Many users and
experts warn that anyone is free to use current jargon
such as "integrated curriculum" to describe their curriculum,
when in fact there are only small or superficial differences between
their curriculum and a traditional curriculum. For ways to watch
for and identify other "trappings of reform," please
see Gail Burrill's "President's Message" entitled Show
Me the Math! in the April 1997 issue of the NCTM News Bulletin,
Vol. 33, No. 9, p.3.) The newer materials cannot be evaluated
using a cursory "flip" test or by reading the table
of contents. Indeed, in some cases, it may not be immediately
evident that practice with concepts is included in a curriculum
because practice appears in a different place or in a significantly
different format from traditional materials (which often regularly
include "template" problems followed by pages of "ready-to-imitate"
student problems).
|
The Questions for Discussion
page on this site lists many important questions that might help
you in your review of the instructional materials. They may also
help you as you develop your vision concerning what secondary
mathematics students should know and be able to do. The Curriculum
Details button provides a broad overview of each curriculum
associated with COMPASS. In addition, The
Guide to Standards-Based Instructional Materials in Mathematics
provides a detailed content overview of the materials designed
to answer the question "What will a student know and be able
to do as a result of completing each of these programs?"
The next step is to begin to look at the actual instructional
materials of programs which you would like to assess further (publisher
information is included on each curriculum page). We encourage
as thorough a review as possible of at least one unit from each
curriculum, together with the supporting teaching materials and
other resources provided by the program, for a heightened comparative
view of the philosophy, pedagogy, and style of each set of materials.
|
The School
and Community Data Form is also a valuable tool in assisting
schools considering one of the standards-based mathematics programs.
The data has helped schools assess their current mathematics program,
make decisions related to curriculum support materials, develop
and guide an implementation plan for new curricular materials,
and identify professional development needs of school staff. The
data has been organized into four areas: overview, student population
and learning, the learning environment of the school, and the
professional development resources available to support school
staff.
|
It is important to remember that if you are changing from a traditional
curriculum to one of the programs associated with COMPASS, the
change is profound. Many groups that have a stake in the education
of your students - such as teachers, parents and caregivers, administrators,
school board members, members of the higher educational community,
the business community, and other community leaders - need to
be informed and involved. You will need to assess the constituencies
in your community and ascertain where you will find support, where
you can build support, and where you will face opposition. You
may want to bring members from these groups to the table during
some phase of the curriculum selection process. For more details,
we suggest you review Step 3 on the
"Choosing a Curriculum"
page at this time.
|
We will be happy to answer any specific questions that arise
during your general review. We can be reached directly via e-mail,
surface mail, or phone.
|
|
|
| |
|