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EXECUTIVE SUMMARY
An unlikely equation is in the making. The premises underlying both
mathematics and vocational-technical education reform movements present a
historical opportunity for developing integrated curriculum guided by the
National Council of Teachers of Mathematics (NCTM) Standards. The common
grounds provide great opportunities for collaboration. Both movements aim at
providing all students with challenging curriculum and learning required
in today's world. The questions are "What are the characteristics of promising
programs engaged in bridging these two reform movements?" and "What can we
learn from these programs to inform the development of rigorous integration
efforts?" This study addresses these questions by building a comprehensive
understanding of integrated program development and approaches to linking the
NCTM Standards and mathematics/career curricula. Through a national survey of
programs featuring mathematics/vocational-technical integration, four promising
programs were identified (three high schools and a community college). Case
studies of these promising sites were conducted to study program development
and the extent to which the NCTM Standards guided local efforts.
Study findings suggested that linking the NCTM Standards to emerging
career-oriented curriculum is not a simple process requiring pedagogical
changes only. It is a far-reaching enterprise challenging educational leaders
to engage in serious comprehensive restructuring involving curriculum,
instruction, and assessment. Organizational and management changes are also
necessary to support more active collaborative efforts and shift from
traditional ways of thinking about educational systems. Consistent with
research on organizational restructuring, the following findings highlight a
framework for linking the NCTM Standards to curriculum featuring mathematics in
realistic contexts.
Managing Change
- Assessing institutional and student performance is essential in order to
make informed decisions about improvements and their relation to shifting
students' learning from traditional tracking systems.
- Leadership styles that promote more democratic participation in
decisionmaking appear to be more successful in facilitating shared
understanding of needs, purpose, and working toward changes to improve the
quality of learning for all students.
- Another basic requirement for successful implementation at early stages is
setting a clear definition of achievement expectations for students and roles
of instructors, administrators, and other internal and external supports.
Moving Toward Authentic Instructional Practices
- Instructors must commit to implementing changes in pedagogy that match
high expectations for student achievement. For this purpose, integration
formats and collaboration arrangements have to satisfy local needs. Models and
guidelines outlined in related literature provide an excellent frame of
reference for successful integration.
- Career contexts provide great opportunities for the development of
nonroutine problems featuring significant mathematical concepts. Through these
problem scenarios, core SCANS and NCTM Standards skills (e.g., problem solving,
communication of ideas, and knowledge applications) can be effectively
emphasized.
- To guide decisions on the development of authentic, integrated, NCTM
Standards-based instruction, a shared understanding of criteria for high
authenticity is required to match high expectations for achievement and career
goals for all students. The NCTM Standards vision along with relevant
ideas supporting emerging vocationalism should be taken as a flexible guide,
not as a step-by-step framework.
Building Institutional and Community Support
- Creating an institutional climate is critical for establishing the
organizational capacity that will sustain integrated work. The goal should be
to foster a sense of community where avenues for democratic input in
decisionmaking are understood and used.
- Early promotion of interdisciplinary collaboration in decisionmaking
through working groups, councils, and other forms of participatory management
are suggested to foster shared understandings, empower participants, and
facilitate work toward common goals.
- Instructors should be encouraged to take responsibility for designing
their own professional development plans grounded in individual and program
needs to acquire specific preparation for implementation of suggested
improvements in curriculum, teaching, and assessment.
- Channels for continuous dialogue and discussion of important institutional
issues affecting all stakeholders are also helpful in creating a sense of
professional community. It is important to shift from bureaucratic,
compartmentalized systems precluding multiple manifestations of collaborations
and open exchanges of opinions.
Fostering Interdisciplinary Teacher Collaboration
- Interdisciplinary collaboration helps break down the walls between
instructors. Fostering teamwork and exchanges between mathematics and
vocational instructors is helpful for dispelling stereotypes and building an
appreciation for each other's contributions to the educational enterprise.
- Bringing mathematics instructors closer to vocational work provides likely
and valuable exposure to external supports (e.g., business and industry) that
may be taken for granted by vocational instructors. This exposure can
contribute to a greater understanding of the complexity of supports needed for
establishing career curricula and to an opportunity to identify significant
mathematics applications.
- Awareness of issues, government regulations, and requirements of
mathematics/ vocational reforms perspectives is a desirable condition for
establishing a holistic understanding of common undertakings and to shift from
turf protection that is prominent in traditional settings.
Survey
information suggested that the extent and nature of efforts linking the NCTM
Standards and school-to-work reform are weak and slowly evolving. This process
appears to be very complex, requiring deep changes and radical shifts from
traditional practices supporting education systems. However, drawing from the
experience of case study sites, we were able to identify a promising framework
for development of effective integrated efforts featuring mathematics in
occupational contexts. This framework is supported by related research on the
restructuring of educational organizations and can be useful for practitioners,
administrators, and policymakers.
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