RMTC...The Details

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Previous National Science Foundation Support
The Mathematical Sciences Sequential Summer Institute (MS3I), ESI-9353513, began in March 1994 and continues through May 1999. Dr. Laura Van Zoest has been a co-director of this $1,211,152 project since August 1995. The Institute enabled 30 well-prepared teachers from 29 different school districts in Michigan to pursue intensive study of contemporary mathematical applications while simultaneously developing as teacher leaders. The participants earned a Master of Arts in Mathematics Education degree through the Department of Mathematics and Statistics at Western Michigan University in August 1997.

As a result of studying and reflecting on the Professional Teaching Standards for School Mathematics (NCTM, 1991), other readings, and their own practice, the Institute participants have achieved a deeper understanding of the significant changes classroom teachers must make in their approach to the teaching and learning of mathematics for successful reform to occur. MS3I continues to investigate what it takes for teachers to be able to make these changes. One factor that has become clear is the benefit of having others who are engaged in the reform process to talk to and work with. The Institute participants have had each other as a support group, but often lack colleagues in their home schools who are interested in working hard to improve their mathematics teaching. Taking a systemic approach to change ensures that this form of isolation will not occur.

Along with focusing on their own professional development, Institute participants are stepping into new leadership roles. These include becoming department chair, serving on curriculum committees, mentoring new teachers, and giving workshops for other teachers. The experiences of the Institute teachers as they enter into peer mentorships with their school colleagues will provide information for the peer mentoring component of RMTC.

The following are presentations and publications that acknowledge the MS3I NSF award:

1. Van Zoest, L. R. (with Hirsch, C.R. and Alavi, Y.) Learning and leading in mathematics. Mathematics Teacher.
2. Van Zoest, L. R. (1996). Progress in mathematics education reform. In Puig, L. & Gutierrez, A. (Eds.) Proceedings of the 20th Annual Meeting of the International Group for the Psychology of Mathematics Education, vol. 1 (p. 204). Spain: Universitat de Valencia.
3. Van Zoest, L. R. (1996) The faces of reform. Talk given at the Annual Meeting of the National Council of Supervisors of Mathematics, San Diego, CA.

Shared Vision
Renewing Mathematics Teaching through Curriculum (RMTC) is a teacher-driven collaborative effort among a collaborative of Western Michigan high schools. These schools are united beyond their geographical proximity by their commitment to improve mathematics teaching so that all students can develop mathematical power. One action these schools have taken toward meeting this goal is to implement the National Science Foundation-funded Core-Plus Mathematics Project (CPMP) curriculum. CPMP is guided by the National Council of Teachers of Mathematics Curriculum, Teaching, and Assessment Standards (1989, 1990, 1995). In response to Everybody Counts (National Research Council, 1989), the CPMP curriculum is being developed to enable high schools to move:

  • toward a curriculum with a singular focus on a significant common core of mathematics for all students ö away from tracked programs that focus on minimal mathematics for the majority and advanced mathematics for a few;
  • toward a curriculum with greater emphasis on topics that are relevant to studentsā present and future needs ö away from programs that emphasize tools for future courses;
  • toward a curriculum that features full use of calculators and computers ö away from programs whose primary emphasis is on paper-and-pencil computational and algebraic manipulative skills;
  • toward a curriculum that features mathematics as a vigorous, active science of patterns ö away from programs that emphasize mathematics as a fixed body of often arbitrary rules.

(See The CPMP Curriculum, for more information).

The decision to implement this curriculum provides a concrete means for teachers to address issues of reform in the teaching and learning of mathematics. A focus on students constructing their own knowledge, the use of cooperative groups, technology as a tool, and alternative means of assessment are all a natural part of the CPMP curriculum. RMTC maximizes professional development efforts in these areas by using the curriculum as a vehicle for implementing change in the classroom. No longer will teachers face the frustration of being excited about new ideas learned in professional development only to return to their classrooms and find it difficult, if not impossible, to integrate the new ideas with their traditional textbooks.

In addition to their shared vision of mathematics teaching and learning, the members of the RMTC collaborative share the following views about professional development, taken from the National Foundation for the Improvement of Educationās 1993 recommendations for systemic change in American education:

  • Professional development should be a vehicle for changing school culture so that the school is a place for the ongoing learning of teachers as well as students.
  • Teachers must be freed from "one-shot" inservice training and be provided sufficient time to engage in meaningful and regular opportunities to expand their professional abilities.
  • Teachers must have access to resources that enable them to unleash the full potential of all students, respecting at all times the culture, language, gender, and individual needs of students.
  • Technology must be recognized as an essential resource that no teacher or learner in America should be denied.
  • Teachers must have professional development opportunities that generate the knowledge and skills to build broad-based community coalitions that create healthy and effective schools.

RMTC uses the CPMP curricular materials as a conduit to realize this vision of professional development.

Goals and Objectives
The overarching goal of RMTC is to empower teachers so that they can provide opportunities for all students to study a wide variety of important mathematics through investigation and discourse. This includes teachers who would prefer to maintain the status quo in their classrooms. For the schools in the RMTC collaborative, the empowerment will be accomplished through providing all of the high school teachers, and some eighth grade teachers, with the support needed to effectively implement the CPMP curriculum. To improve communication between the middle and high schools and enable a smooth transition for the students, each middle school that feeds into the collaborative high schools will have at least one representative involved in RMTC professional development activities. Special education teachers who team with mathematics teachers, selected substitute teachers, and science teachers interested in aligning their curriculum with CPMP will also be included.

Teachers that have already been heavily involved in other recent professional development experiences will take on a leadership role in the RMTC project. In particular, teachers who have been involved with CPMP from its inception and have received additional professional development in facilitating workshops will become summer workshop instructors.

The specific objectives of RMTC include:

  • Preparing teachers for the extensive changes in content, in pedagogy, and in assessment required by innovative curricula.
  • Encouraging and supporting teachers who are reluctant to teach or apprehensive of moving to an innovative curricula.
  • Enabling teachers to become reflective practitioners by providing them with time and opportunities to reflect on their practice.
  • Establishing a peer mentoring system.
  • Encouraging an environment of understanding and support by school administration.
  • Facilitating support networks both within departments and between districts.
  • Working with parents and business and community leaders to create an awareness, understanding, and support of the changes taking place in school mathematics.
  • Increasing the number of students who study significant mathematics for three and four years.
  • Decreasing the number of students enrolled in dead-end mathematics courses.

Meeting these objectives will lead to the creation of an enhanced professional community that encourages teachers to reflect on their teaching and learning and empowers them to be change agents.

Problem
RMTC addresses the problem created when an innovative curriculum is adopted by a school based on the experiences of a core of lead teachers who have been heavily involved in professional development efforts. In the RMTC schools, the adoption of CPMP was motivated by key teachers who took the initiative to bring CPMP into their schools through volunteering to pilot and field test the curriculum. In many cases these teachers have been in a constant battle to explain to colleagues, administrators, counselors, parents, students, and others the underpinnings of the mathematics education reform movement and to defend the CPMP curriculum against other alternatives offered in their schools. It is important to note that the core of lead teachers were provided with significant professional development opportunities as a result of being pilot- and field-test teachers. These opportunities would not be available to their colleagues without RMTC as there simply are not enough district resources available to provide these teachers, who are less sure of the curriculum to begin with, with the same level of professional development.

In a questionnaire given to collaborative teachers during preparations for the preliminary proposal, the teachers overwhelmingly responded that training in implementing the CPMP curriculum was their greatest professional development need. Some cited fears and doubts about the reforms in general. Lack of time for planning and reflection was mentioned repeatedly as the biggest obstacle to improving their teaching. Many of the teachers expressed concerns that echo Tafel and Bartaniās observation that "Maintaining the momentum of change takes enormous time and energy. Planning and launching a new initiative is often easier than sustaining the momentum for change" (1992, p. 45).

Implementing an innovative curriculum that requires change not only in what teachers do, but in the way they think about the teaching and learning of mathematics, demands professional development opportunities that go beyond the "conventional view of staff development as a transferable package of knowledge to be distributed to teachers in bite-sized pieces" (Lieberman, 1995, p. 591). In particular, we have adopted the view that "Effective professional development involves teachers both as learners and as teachers and allows them to struggle with the uncertainties that accompany each role" (Darling-Hammond & McLaughlin, 1995, p. 598). The problem, then, is creating a professional development opportunity that meets the following characteristics:

  • It must engage teachers in concrete tasks of teaching, assessment, observation, and reflection that illuminate the processes of learning and development.
  • It must be grounded in inquiry, reflection, and experimentation that are participant-driven.
  • It must be collaborative, involving a sharing of knowledge among educators and a focus on teachersā communities rather than on individual teachers.
  • It must be connected to and derived from teachersā work with their students.
  • It must be sustained, ongoing, intensive, and supported by modeling, coaching, and the collective solving of specific problems of practice.
  • It must be connected to other aspects of school change.

(Darling-Hammond & McLaughlin, 1995, p. 598).

RMTC was designed to meet the challenge of providing the professional development and support necessary for implementing a reform curriculum system-wide.

Solution
The solution to this problem is a systemic teacher enhancement program based on an integrated, reflective cycle of professional development activities comprised of one-week summer sessions, annual whole-collaborative conferences, regional meetings, and regular and frequent contact among teachers in school buildings that includes peer mentoring, class observations, common planning periods, and small-group meetings. The RMTC solution has five key elements that will contribute to its success: 1) RMTC is integrally connected with the exemplary curriculum that the collaborative teachers will use in their classrooms; 2) the approach that RMTC takes to professional development is consistent with the approach the exemplary curricula take to student learning; 3) RMTC acknowledges that systemic change in mathematics education requires the commitment and understanding of the communities beyond the mathematics department and school; 4) RMTC takes advantage of the unique strengths the individual schools bring to the collaborative to help in overcoming each otherās weaknesses; and 5) the formation of RMTC was initiated by teachers and has been, and will continue to be, guided by both teachers and administrators in the collaborative schools.

In outlining the proposed contributions that RMTC will make to solving the problem identified in the previous section, it is important to discuss both the curriculum that has been adopted and the professional development efforts that are already underway. As a backdrop to these discussions, we first identify where the collaborative schools are, as a group, regarding systemic change.

Beverly Anderson (1993) outlined six stages of systemic change: (1) maintenance of old system, (2) awareness, (3) exploring, (4) transitioning, (5) emerging new infrastructure, and (6) predominance of new system. In this schema the RMTC collaborative schools are solidly in Stage 4 where "the scales tip toward the new system ö a critical number of opinion leaders and the members of various groups support the design of the new system; they make commitments to the new system and take more serious risks to make changes in key places within the system." As a result of Stage 3, where "people engage in study and visit places that are trying new approaches to teaching, learning and organizational functioning; serious discussions about the applicability of new approaches are underway," the schools in the collaborative have chosen to adopt CPMP either with all students or as a second college preparatory curriculum. It is important to note that the fact that a school is in a particular stage does not guarantee that all of its members are in agreement with the changes that have been occurring. In the case of the RMTC collaborative schools, as is true in most cases, there are small groups that are openly resistant to the changes that are taking place and individuals that are passive observers.

The CPMP Curriculum
As explained in the book Overview of the CPMP Curriculum: Contemporary Mathematics in Context (CPMP, 1995), the Core-Plus Mathematics Project (CPMP) began as a five-year project funded by the National Science Foundation to develop student and teacher materials for a complete three-year high school mathematics curriculum for all students, and for a fourth-year option focusing on the transition to college mathematics. It was recently refunded for an additional five years. The curriculum builds upon the theme of mathematics as sense-making. The curriculum materials have the following mathematical and instructional design features:


  • Multiple Connected Strands
    CPMP provides a comprehensive mathematical sciences curriculum. Each year the curriculum features multiple strands of algebra and functions, geometry and trigonometry, statistics and probability, and discrete mathematics. These strands are connected within instructional units by common topics such as matrices and modes of thinking (habits of mind) and between strands by fundamental themes such as shape and change.
  • Mathematical Modeling
    The curriculum emphasizes mathematical modeling and the modeling concepts of data collection, representation, prediction, and simulation.
  • Access
    Core topics are accessible to all students, with differences in student background, interest, and performance being accommodated by the depth and level of abstraction to which topics are pursued, by the nature and degree of difficulty of applications, and by providing opportunities for student choice of homework tasks.
  • Mathematics, Not Mechanics
    The numerical, graphics, and programming capabilities of graphing calculators are assumed; thereby permitting the curriculum and instruction to focus on mathematical thinking and communication rather than mechanical manipulation and mimicry.
  • Cooperative Learning
    Instructional practices promote mathematical thinking through rich problem situations that involve students not just individually but in collaborative groups as they investigate, conjecture, verify, apply, evaluate, and communicate ideas.
  • Multi-Dimensional Assessment
    Comprehensive assessment of student understanding and progress through both curriculum-embedded assessment opportunities, observations, and supplementary assessment tasks enables monitoring and evaluation of each studentās performance in terms of processes, content, and dispositions.

(CPMP, 1995, p. 1).

In contrast to tracked programs that limit opportunities for students through work-prep, tech-prep, and college-prep sequences, the CPMP curriculum provides a single core sequence during the first three years followed by fourth-year options. Each of the courses in the three-year core is organized in a series of seven connected units and a thematic capstone experience (see the CPMP Web Pages for course outlines). The units are comprised of four or five multi-day lessons in which major ideas are developed through investigations of rich applied problems. As courses are designed, the CPMP developers ask themselves the question "If this were the last mathematics course students would study in school, has the most important mathematics been included?" Additionally, units are carefully reviewed for multicultural and gender equity before they are tested in schools.

Efforts Prior to RMTC
Much of collaborative schoolsā progress to the "transitioning" stage of systemic change in mathematics can be attributed to the efforts of the Making Mathematics Accessible to All project, sponsored by the Eisenhower Higher Education Professional Development Grant Program. Making Mathematics Accessible to All (M2A2) is a statewide cooperative effort among Michigan higher education institutions, regional mathematics and science centers, and intermediate and local districts to assist high schools in reshaping their mathematics programs to provide a common core of broadly useful mathematics for all students. The project offers a staff development program for school-based teams, consisting of an administrator, a counselor, and two mathematics teachers, and provides follow-up workshops for teachers who participated in previous M2A2 staff development programs. The focus of these programs has been on the "awareness" and "exploring" stages of systemic change. More recently, M2A2 has teamed with CPMP to offer course-specific professional development for teachers teaching with the CPMP curriculum.

The schools in the RMTC collaborative have been heavily involved in the M2A2-CPMP professional development opportunities. As a result of this, and initial funds provided by the school districts, the majority of the teachers in the collaborative will have already completed training for CPMP Course 1 by the beginning of the RMTC grant, allowing the grant to focus on Course 2 and beyond while the districts continue to fund Course 1 training for their teachers. A few of the teachers will have completed training for additional courses. These teachers form the leadership core of the collaborative as has been demonstrated by their initiative and continued involvement in the development of the RMTC proposal.

The continuation of the M2A2-CPMP efforts over the 96-97 academic year will prepare the collaborative schools for the move from Stage 4: Transitioning, towards Stage 5, where "selected elements of the system are widely operated in ways that are in keeping with the desired new system rather than the old system; these new ways are becoming generally accepted." RMTC builds on and extends the professional development that has taken place through this joint endeavor. The role of the RMTC project is to move the collaborative schoolsā through Stage 5 and have the system in place for the schools to continue on their own to Stage 6: Predominance of New System. RMTC is in a unique position to build on the current momentum because it uses CPMP as a vehicle for the intense, long-term professional development and outreach necessary to achieve local systemic change. Without RMTC the schools would have difficulty moving beyond isolated successful classrooms to system-wide reform.

RMTCās Contribution
The RMTC professional development is patterned after the collaborative model described by Lord (1991) as an alternative paradigm of professional development in which the vision of teachersā professional development encompasses: "(a) teachersā knowledge of academic content, instruction, and student learning, (b) teachersā access to a broader network of professional relationships, and (c) teacher leadership in the reform of systemwide structures" (p. 3). We have extended this vision to encompass informing teachers from other disciplines, administration, university faculty, parents, and business and community leaders so that they can understand and support the teachers in their reform efforts.

RMTC will involve teachers in an integrated, reflective cycle of professional development activities that includes one-week summer sessions, annual whole-collaborative conferences, regional meetings, and regular and frequent contact among teachers in school buildings that includes peer mentoring, class observations, common planning periods, and small-group and department meetings. Planning for the professional development activities will take place during monthly meetings of the RMTC Council which includes representation from each school. RMTC activities will focus on using the CPMP curriculum to increase the teachersā knowledge of content, instruction, and student learning while providing flexibility to meet the needs of individual teachers and schools.

Summer Sessions
The summer sessions provide a foundation of information and experience upon which the school-year interaction can build. The focus during the summer sessions will be on having the teachers experience what it means to learn mathematics in a new way. The teachers will be placed in open-ended problem situations, using the curricula, that will simulate experiences common to their students ö the frustration of ambiguity and the elation when things come together and make sense. Issues of teaching and learning new mathematics in exciting and different ways will be discussed in depth. Above everything else, these sessions will provide a model for the kind of teaching that is the goal of current reforms in mathematics education. Their focus will be on providing teachers with opportunities to deeply understand the mathematics that their students will be studying.

By the start of the RMTC project the majority of the teachers in the collaborative schools will have completed Course 1 training (with limited funds provided by M2A2, CPMP, and the districts). This will allow RMTC to begin immediately with Course 2. Our intent is to offer multiple sessions of one workshop each summer. In the first summer, 1997, Course 2 would be offered, in 1998 Course 3, and in 1999 Course 4. If, due to new teachers entering the districts, additional special education teachers, middle school teachers, or others, there is a larger than expected group that has not completed Course 1 training prior to the start of the RMTC project, we will modify our original plan and instead run both Course 1 and Course 2 sessions the first summer, Course 2 and Course 3 the second, and Course 3 and Course 4 the third. Teachers whose needs for summer sessions can not be met by either of these structures will be funded by their districts, with stipends provided by RMTC, to attend CPMP regional site workshops. This ensures that every teacher has maximum opportunity to attend summer workshops. Despite this we realize that some teachers, for personal or family reasons, will not be able to attend the full compliment of summer workshops. The RMTC staff will pay special attention to this small group of teachers during the academic years to make sure that they remain active partners in the systemic change process.

Using the Core-Plus Mathematics Project materials to design professional development experiences for teachers that align with best practices is a natural extension. Workshop leaders model the role of the classroom teacher as the participants immerse themselves in constructing their own knowledge of mathematics. The fact that much of the content of the curriculum as well as the pedagogy is new to teachers allows them to experience being a student in a reform classroom and, through this experience, to better understand what is required of a teacher in a successful reform classroom.

The RMTC summer sessions have been based upon the summer sessions developed and carried out by M2A2 and CPMP. These sessions have been well received and will continue to be revised based on feedback from attendees. Currently, each workshop begins with a course overview. The seven units of the course are then addressed in a manner that allows for teacher reflection on instruction concurrent with content work. For example, a discussion of "What is Algebra?" precedes the Linear Models unit. Following one and a half days of work on this unit a list of important topics for algebra generated from the overview discussion are re-posted to allow opportunities for teachers to see the connection between their own thinking and the unit they have just experienced. Discussions on facilitating classroom discussion automatically flow out of the unit investigation work.

Assessment as an integral part of instruction begins to take on a concrete meaning for teachers who are interacting with leaders who model observation and questioning techniques. Ways of assessing studentsā group work and thinking are interwoven throughout the two-week workshop. The CPMP curriculum incorporates student writing in investigation work, assignments, projects, and journals. During the workshop, teachers experience this type of assessment and reflect on the vision of the classroom promoted by the NCTM Standards.

The length of the summer workshop allows participants to build a support community with other educators. Much of the discussion is collaborative as participants bring a store of knowledge to share with each other. Collectively, instructors and participants struggle with new ways of thinking and doing mathematics and new paradigms of teaching.

As described in more detail earlier in this proposal, each course in the CPMP curriculum includes concepts and methods from statistics, probability, and discrete mathematics; areas in which many teachers have had little formal study. Furthermore, even though the algebra and geometry topics in each course sound familiar, they are often developed in new ways. That such a curriculum places new content knowledge demands on teachers should not be surprising. The following quotes from teachers who have participated in previous CPMP Implementation Workshops illustrate these ideas:

  • Wow! There is a lot of math in Core-Plus. I didn't realize that these topics (such as regression lines and Hamiltonian circuits) would be expected of a 10th grader.
  • There seems to be a ton of math that has traditionally never been investigated.
  • I feel that my knowledge has expanded exponentially.

A pre-and post-workshop evaluation demonstrated the growth in teachersā mathematical abilities that can occur during professional development opportunities based on innovative curricula. The participants were not only learning new approaches to instruction and assessment; they were also expanding their mathematics content knowledge.

Discussions on community relations, building a network of support, and other issues and concerns are factored into the workshop agendas. Authentic implementation of an innovative curriculum which aligns with the NCTM Standards and promotes new ways of thinking about learning is not something that can be accomplished by a few innovative teachers in the confines of their own classrooms. It must be system-wide. Reform of this magnitude becomes politicized. Past professional development efforts with CPMP schools underestimated the political pressures and resistance to change that the schools would face. In response to their request, RMTC includes support for the schools as they expend energy and resources on community awareness and building consensus for reform within a district (the districts and other RMTC partners will also contribute to these efforts).

The RMTC summer workshop leaders will be teachers who have had a long-term involvement with the CPMP curriculum. These teachers understand both the philosophy and the practical implications of CPMP. Their experience with teaching CPMP makes them credible witnesses to the fact that it can be done. They also understand the challenges involved in implementing an innovative curriculum and can take on the role of encouragers. Rose Martin and Pete Jarrad, two teachers from the collaborative schools who meet these requirements and have been instrumental in the development of the RMTC proposal, have agreed to take primary responsibility for leading the summer workshops. Their leadership positions in the 1996 summer CPMP implementation workshops will provide them with additional experience to bring to the RMTC project.

Academic Year
Although summer workshops provide a strong starting point, they are insufficient for the depth of reform that successful implementation of exemplary curricular materials requires. Both teachers and administrators from CPMP pilot schools have clearly expressed the need for ongoing, regular professional development. Some of the past participantsā comments about the benefits of academic year meetings follow:

  • It was beneficial to talk with other teachers on a regular basis and share strategies that are successful, especially public relations strategies and classroom management techniques for CPMP materials.
  • It was helpful to hear comments from other teachers especially since this is my first year in CPMP. It is also helpful to know what changes are taking place in the general trend of math education.
  • It was helpful when the teachers explained some of the problems they were having and then the solutions to those problems. I also found it beneficial to know where the other teachers were in the materials.

The CPMP academic year professional development sessions were shaped by the expressed needs of teachers as the school year progressed and observations of classrooms by project staff.  Adaptive teaching that takes into account student thinking is critical to implementation of the CPMP curriculum. Similarly, we believe professional development must be adaptive to the work-embedded needs of teachers as they implement reform. The experiences we have had with CPMP pilot teachers over the last four years have been instrumental in developing the plans for the current RMTC proposal.

During the academic year, RMTC will provide three formal avenues of continued professional development: RMTC whole-collaborative conferences, RMTC planning council meetings, and monthly school meetings. Each of these aspects of the academic year program is briefly described below and will follow the same pedagogical principles as the summer workshops. Additionally, the administrations of the collaborative schools have made commitments to create environments that allow for frequent reflective interaction among colleagues. These commitments include making an effort to provide common planning periods for teachers teaching the same course, with priority given to pairing someone who is teaching a course for the first time with someone who has taught it before, providing release time for teachers to visit each otherās classrooms, and providing encouragement and recognition for involvement with peer mentoring. Participants will be encouraged to reflect on their practice through videotaped lessons, reflective journals, and analysis of their studentsā thinking.

RMTC Collaborative Conferences
Once each year, whole-day meetings will be held for all participants involved in the collaborative (sites will be provided by the districts and partners). These meetings will provide the opportunity for teachers to interact with a wider range of their colleagues and to develop relationships with teachers who share their particular interests and struggles. These all-day meetings will take on the form of a mini-conference. There will be whole-group sessions on topics that are determined to be of interest to the majority of the participants and break-out small-group sessions dealing with more specific issues. Some of the topics that we expect to be addressed include articulation across the grades, developing the support of parents and the community, increasing relationships with business and industry, and working with counselors and other colleagues within the school so they can become allies in the fight for systemic reform of mathematics education. The conferences will be planned by the project staff with input from the RMTC Council (see below).

RMTC Council
The RMTC Council, meeting for half a day on a monthly basis, will form the connection between individual teachers and project staff (meeting sites provided by the districts and partners). The Council will consist of the project staff (Van Zoest, Ritsema, Martin, and Jarrad) and a representative from each of the collaborative schools. Based on the discretion of the individual schools, the representatives may rotate monthly, yearly, or remain the same for the duration of the project. Although there would be some advantages to maintaining consistent representation, we feel that there are greater advantages to involving as many teachers as possible in leadership positions. For this reason, and our commitment to placing as much of the decision making as possible locally, the individual schools will decide which form of representation best fits their needs. The one inflexible requirement is that the representatives must be committed to being a communication link between the project staff and their schools. To do this effectively the representatives will need to be involved enough with their colleagues to be aware of their concerns and triumphs and to be able to communicate to the RMTC Council the type of professional development activities that would be most helpful in achieving further systemic reform in their schools.

One particular way in which the university staff will be able to assist the schools is through providing current research to use as a basis for the discussions that take place in the monthly school meetings (see below). The knowledge of the directors and the resources available through the university will help ground the actions the teachers take in relevant theory. RMTC as a whole will provide a conceptual umbrella that unites the individual districts and provides the connections and coordination necessary to help them pool their resources and build on their strengths. The RMTC Council will be the organizing force for the collaborative. For example, if two schools are dealing with the same issue, the council will arrange for a joint monthly meeting to share ideas.

Monthly School Meetings
The RMTC Council representatives are responsible for orchestrating the monthly small-group meetings for their school. If a school chooses to rotate the position, the representative for the month is responsible for that monthās school meeting. To provide for a large enough small group for varied perspectives and ideas, some of the schools in the collaborative with a small number of teachers may combine for a joint monthly meeting.

While the focus of daily and weekly interactions among teachers in a school will of necessity deal with the more practical aspects of teaching an innovative curriculum ö how to facilitate investigations, promote better collaboration within small groups, answer a specific question raised by a student ö the focus of the monthly meetings will be on broader issues of curricular reform. These sessions will examine student work and look deeply at the mathematical understanding of the students and actions that could be taken to increase their learning. Initially the student work may come from sources outside the school, but as the teachers become more comfortable with each other they will be encouraged to bring in copies of their own studentsā work. Concentrating on student work shifts the focus from what the teachers are doing to what the students are doing in the same way that successful use of the curriculum is student-focused instead of teacher-focused.

Electronic Networking
To build on the relationships formed during the biannual meetings and encourage interaction between districts on a continuous basis, electronic conferences (confers) will be set up for each of the courses in the CPMP curriculum as a well as a general confer focusing on more global issues related to achieving systemic change in mathematics education. To benefit participants who are unable to login to the electronic conference on a regular basis, a summary will be added to items that have accumulated a number of responses. The RMTC staff will make every effort to update these summaries on a twice-weekly basis. As a result of the Southwestern Michigan Interconnect for Learning Experiences (SMILE), sponsored by an agreement between the Michigan Public Service Commission and Ameritech, all of the schools in the collaborative have Internet access. The director of SMILE, Dr. James Bosco, has agreed to work with RMTC to ensure that all the teachers in the collaborative are able to access the network and are provided with the necessary training to use the network effectively. Calhoun Intermediate School District has agreed to provide these services for the Calhoun County administrators and teachers.

Additionally, Western Michigan University has agreed to provide and support the accounts necessary to maintain electronic conferences. The electronic conferences will allow continuous and immediate interaction between teachers who have limited opportunities to interact in person. To facilitate awareness among all the key players in the systemic change process, administrators, curriculum directors, professional development directors, university and community college professors, and other interested parties will have access to the public electronic discussions. It is important to note that it is possible to have private discussions on the confer alongside of the public discussions, providing the teachers with the freedom to share concerns or difficulties with a select subset instead of the entire community.

Another electronic network that will be available to RMTC is the Distance InterActive Learning System (DIAL). The DIAL system can be used for administrative, teacher, parent and student meetings designed for teaching, learning, and professional development when it is not possible to bring participants to the same physical location. Calhoun Intermediate School District has agreed to provide training and technical support for any uses of the DIAL system by the RMTC collaborative.

Business/Industry Connection
Through its real-world investigations, the CPMP curriculum lends itself to the involvement of business and industry. RMTC collaborative teachers involved in field testing CPMP materials have taken their students on field trips to local industries and invited guest speakers to their classrooms. Part of the Battle Creek Math and Science Centerās mission is to build partnerships with area business and industries. The outreach staff has organized a community based math/science education planning team to look at increasing awareness of mathematics and science through a systemic, community-based approach. They are in the process of developing a cadre of liaisons from local industries for classroom presentations and/or field trips that fit in with particular lessons in the curriculum. For example: the Federal Center for di-graphs and PERT charts; Kelloggs for marketing data analysis; and Nippondenso for statistical quality control methods.

In the Kalamazoo and Portage area, the Education for Employment program (EFE) has been instrumental in developing similar connections. EFE has agreed to develop a plan to coordinate their efforts with those of the RMTC project. This will include identifying members of the EFE network that work directly with mathematics topics that are a part of the Core-Plus Mathematics Project curriculum and establishing connections between them and the RMTC teachers. EFE has also committed to organizing visits of teachers to business and industry so that they can see first hand how the mathematics they teach is used, visits of business and industry leaders to classrooms to give informational talks to the students, and tours of business and industry for the students so that they can see the mathematics they are learning in action. We feel this is an extremely important part of the RMTC program as teachers and students who have had limited experiences may not recognize the real-world nature of the situations in the CPMP curriculum.

Outreach
A key component in the success of innovative curricula is the support of the local community. Some of schools in the collaborative have taken extensive measures, including distributing printed material explaining the changes in the mathematics curriculum, holding informational meetings, and providing opportunities for parents and other interested parties to experience a piece of the new curriculum, to insure that the community supports the changes in their schools. The RMTC staff will work with the collaborative schools to increase the efforts that are already underway and coordinate new efforts in this direction.

Another area of outreach will be to school personnel who do not teach mathematics themselves but have an impact on those who do. As needed, there will be sessions for counselors, principals, curriculum directors, public relations officers, school board members, and teachers from other disciplines. Depending on the target group, these sessions will be held in conjunction with the monthly school meetings, the biannual whole-collaborative meetings, professional development early release days, or some other scheduled time. Along with keeping these parties informed about progress of the collaborative, the sessions will focus on how these individuals can use their positions to support the RMTC teachers. The conversations across departments are a particularly salient feature of this outreach as systemic change can not be limited to the mathematics department. We need to encourage other departments to make compatible changes and ensure that mathematics reform has a positive impact on all instruction.

A third area of outreach is the college and university community. RMTC teachers will provide a series of colloquium talks at Western Michigan University that are open to area community colleges and university teachers and staff. The talks will focus on the knowledge and experiences college professors should expect students who have been through the CPMP curriculum to have. As part of the college-university outreach, the professors will be invited to visit high school teachers in their classrooms. RMTC will encourage the formation of partnerships between university professors and high school mathematics teachers that would allow the university professors to be exposed to the pedagogical techniques used with the reform curricula and provide the high school teachers with access to a content expert.

A final area is the larger political arena. Especially given the climate of "back-to-the-basics" that is gaining momentum in Michigan, it is essential that politicians hear about the changes that are taking place in mathematics education and the positive effects that they are having on student learning. The RMTC teachers will be encouraged to contact their legislators to share what is happening and to invite them to visit their classrooms. This will provide the politicians with a first-hand perspective from students and teachers on the successes of the program as well as the barriers to success. This knowledge will help the legislators make a positive contribution to changing the system.

The teachers will be provided with financial compensation from RMTC for the outreach efforts that require them to go beyond their usual teaching assignments. Compensating the teachers for these activities acknowledges them as professionals who should be paid for sharing their expertise and emphasizes the critical role that outreach plays in systemic reform.

Intern Teaching
Another form of outreach is the mentoring of intern (student) teachers. The collaborative teachersā experiences in RMTC will increase their level of expertise in teaching innovative curricular materials and provide them with a model of mentoring that they can adjust to their work with intern teachers. This will augment the efforts of Western Michigan Universityās teacher educators by allowing a seamless transition between the content and philosophy of the university mathematics methods courses and the field experiences. Not only will RMTC contribute to WMUās preservice mathematics teacher education program by substantially increasing the number of placements in classrooms successfully using innovative curricula, it will also allow interns to be placed with teachers who embody the ideal of professionalism by being committed to continuously improving their teaching.

RMTC will contribute to this seamless transition by providing opportunities for the intern teachers to participate in RMTC professional development activities. The interns will be invited to attend the summer workshops (at no cost but without a stipend), and to participate in all academic year activities. Along with increasing the internsā content and pedagogical knowledge and reinforcing their mathematics teacher preparation coursework, this involvement will begin what we hope will be a pattern of life-long learning.

To capitalize on the benefits of the RMTC project, the Office of Field Studies in the College of Education at WMU has agreed to make a concerted effort to place all mathematics education interns in RMTC collaborative schools. As a part of this effort, the intern program will be expanded into four additional collaborative schools. This will benefit the RMTC teachers by providing them with interns who have been educated in the current reforms and are ready to work side-by-side with their mentor teachers to maximize student learning of significant mathematics.

Solution Summary
Opportunities to learn what it means to teach mathematics in the spirit of the NCTM standards need to be made a part of teachersā routine work day, week, and year. Furthermore, teachers and others with whom they work must be allowed the "latitude to invent local solutions ö discover and develop practices that embody central values and principles, rather than to Īimplementā or Īadoptā or Īdemonstrateā practices thought to be universally effective." (Little, 1993, p. 134). Innovative curricula can be adopted or implemented, but the teaching practices that allow the curricula to be successful require a dramatic shift in the approach both teacher and students take to the teaching and learning of mathematics. Rather than providing a rigid prescription for teaching mathematics, the reform curricula serve as a vehicle for renewing mathematics teaching in ways appropriate for individual teachers, departments, schools, and districts.

Within the structure outlined above, we envision enough flexibility to meet the diverse needs of the individual schools and departments and to allow them to develop local solutions to the unique problems they face. We feel very strongly, and are supported by the research (e.g. Cobb, Wood, & Yackel, 1990), that each group of mathematics teachers needs to be met where they are on the continuum of traditional vs. reform teaching and moved further towards the goal of strong reform-based teaching that focuses on developing mathematical power for all students. Continuous assessment, regular project staff meetings, and a willingness to adapt to meet these needs will ensure that RMTC allows all teachers to improve their practice.

Major RMTC Partners

Participants
One hundred and forty-four teachers in the collaborative schools have made a commitment to complete a minimum of 130 hours of professional development over the three years of RMTC. As can be seen by one participantās written comment, not all who signed agreed with their schoolās decision to implement the CPMP curriculum. RMTC acknowledges that these teachers exist, respects their willingness to participate in professional development despite their beliefs, and makes a special effort to involve them in the systemic change process (see objectives).

Five teachers in the collaborative high schools were not available to sign but are likely to participate. We anticipate an additional five new mathematics teacher positions in the collaborative schools due to an increase in students taking optional mathematics courses. That provides an overall minimum of one hundred and fifty-four teachers who will be full participants in RMTC professional development activities.

The average teacher in this group will participate in the following formal professional development opportunities: three summer workshops at forty hours each, three annual conferences at eight hours each, and eight monthly meetings per year at three hours each for an overall total of 432 hours. In addition to this will be many hours spent in other interactions such as common planning, classroom observations, and outreach sessions. It would not be uncommon for a teacher who has been involved in mentoring and community outreach to accumulate 750 hours of professional development over the course of the project.


Name # MS Tchrs # HS Tchrs Total Tchrs
Albion
Battle Creek Central
Battle Creek Math & Science Center
Black River
Fremont
Harper Creek
Holland Christian
Kalamazoo Central/Loy Norrix
Kent City
Lakeview
Orchard View
Portage Central/Portage Northern
Sparta
1
7

1
1
1
1
11
1
1
1
3
1
6
18
6
1
5
8
9
13/9
4
7
4
9/11
4
7
25
6
2
6
9
10
33
5
8
5
23
5
TOTALS 30 114 144

RMTC will involve a teacher from each feeder middle school as well as middle school teachers who will be teaching CPMP courses. The numbers are large for Battle Creek Central because their junior highs include ninth grade and for Kalamazoo Public Schools because they are planning to teach CPMP Course 1 in the eighth grade. Battle Creek Math & Science Center draws from all the Battle Creek area middle schools.

Staff
The project co-directors, Laura R. Van Zoest and Beth E. Ritsema, are faculty members in the WMU Department of Mathematics and Statistics. Laura Van Zoest is an assistant professor of mathematics and mathematics education. Currently she is co-director of the Mathematical Sciences Sequential Summer Institute (see Previous NSF Support) and the Secondary Mathematics Teacher Preparation Improvement Project, and director of the project, High School Mathematics Intern Teaching in a Reform Environment. Dr. Van Zoestās research focuses on issues involved in preparing teachers, both prospective and practicing, to teach in a manner consistent with current calls for reform in mathematics education.

Beth Ritsema is a grant/contract instructor of mathematics. Ms. Ritsema is currently serving as Associate Project Director for Making Mathematics Accessible to All, and Editor and Professional Development Coordinator for the Core-Plus Mathematics Project. As an editor and development team member, she has been heavily involved in the development of the CPMP curriculum as well as the teacher resource packages which accompany each unit. As Professional Development Coordinator for CPMP, she has delivered implementation workshops and academic year meetings for four years.

Pete Jarrad and Rose Martin will serve as lead summer workshop leaders and will be responsible for coordinating additional leaders. Both have been involved with CPMP since its inception and have attended training sessions each summer. This summer (1996) they have taken on leadership roles during the summer workshops. Pete Jarrad brings 29 years of experience teaching high school mathematics to the project and has been one of the most vocal proponents of CPMP in the area. He has been chair at Portage Northern High School since 1984 and was an instrumental player in his schoolās decision to adopt the CPMP curriculum.

Rose Martin is currently a full-time mathematics teacher specialist and outreach coordinator at the Battle Creek Math and Science Center. She assists area districts in curriculum planning and conducts Making Mathematics Accessible to All, Michigan Mathematics In-Service Project, and CPMP professional development and support sessions. Ms. Martin has been a key player in organizing the Battle Creek area schools in the RMTC collaborative and will continue that role during the implementation phase of the project.

Laura Van Zoest will be responsible for the overall project management and will supervise support staff. She will have primary responsibility for the university faculty, intern, and computer conferencing components of the project. Beth Ritsema will have primary responsibility for the summer workshops, connections to CPMP, and collection of the evaluation data. Laura will oversee the production of the dissemination manual and Beth will coordinate speaking engagements for the RMTC teachers. Laura and Beth will share responsibility for the remainder of the aspects of the project, in many cases each taking primary responsibility for a geographical area.

Rose Martin and Pete Jarrad will serve as lead summer workshop leaders and will be responsible for coordinating leadership teams if it is necessary to have concurrent workshop sessions. Additionally, Rose Martin will serve as the contact person for the Battle Creek Area high schools. Linda Teare, Professional Development Coordinator for the Portage Area, will be the contact person for the Portage schools. Vern Davis, Mathematics Supervisor for Kalamazoo, will be the contact for the Kalamazoo schools. Don Treizenberg will serve as the contact person for the Holland-Muskegon Area schools. These contact people will be key links in the communication and flow of information from the project staff to the schools and, especially in the collection of evaluation data, from the schools to the project staff. Department chairs will be the contact people when mathematical issues are involved.

Laura Van Zoest and Beth Ritsema will be directly involved in the professional development activities for the teachers. Beth brings to the project her experience of working directly with the mathematicians who authored the CPMP units as an editor and co-author. As a result of her experiences, she has a strong understanding of the mathematics around and beyond what was finally included in the units. She also has direct access to the CPMP authors for additional information. Laura has an extensive background in mathematics and a strong working relationship with the five mathematics professors who taught courses in contemporary topics for the MS3I project. Rose Martin and Pete Jarrad also have strong mathematics backgrounds. In particular, Rose has been involved in professional development to design statistical replacement units for algebra and received a summer research grant to complete work with mathematical models. In 1995 Pete attended the NSF Summer Workshop on Discrete Mathematics at Grand Valley State University.

Dr. Michael Slack is a geometer/topologist who has been working at a local high school with students, teachers, and mentoring coordinators. He has become familiar with many of the current issues facing students and teachers on that level. He is currently involved in the creation of a project aimed toward having students work together outside of the classroom to support each others' academic endeavors. He has extensive research experience in geometry and topology, having recently had 5 years of postdoctoral training. Dr. Slack will provide instruction in geometry for RMTC.

Dr. Gerry Sievers is a statistician with 30 years of teaching and research experience. At the university level, he has developed a successful introductory statistics course focused on concepts, reasoning and applications in contemporary areas and another course on the design of experiments for quality improvement based on methods that are gaining importance in industry. He brings to RMTC extensive experience in the application of statistical methods to real-world problems through his consulting activities on research projects in a wide range of fields at WMU. Dr. Sievers will provide instruction in probability and statistics for RMTC.

Dr. Dennis Pence is a numerical analysist who has recently been writing calculus texts and calculator supplements. He is also a Teachers Teaching with Technology instructor and, in that capacity, receives continuous training in the most current graphing calculator technology. For many years, Dr. Pence has been working with high school teachers to help them to better use technology in their classroom. Dr. Pence will provide instruction in discrete mathematics and algebra for RMTC.

Both Dr. Sievers and Dr. Pence are instructors in the Mathematical Sciences Sequential Summer Institute and are looking forward to continuing their efforts to help high school teachers to improve their understanding of mathematics.

Advisory Board
The advisory board will offer guidance on the overall direction of RMTC and provide connections with key areas of mathematics education reform. Dr. Chuck Allen, of the Michigan Department of Education, brings to the project his experience of working with the state legislature in the development of state core curriculum guidelines and state proficiency tests. Dr. Joan Ferrini-Mundy, currently on leave from the University of New Hampshire to serve as Director of the Mathematical Sciences Education Board at the National Research Council, provides a national perspective on mathematics education reform. Mr. Michael Gagnon, manager of organizational development for Denso Manufacturing Michigan, Inc., has a first-hand understanding of the needs of business and industry. Dr. Nancy Mincemoyer, Project Director of the Michigan Statewide Systemic Initiative, provides a connection with the statewide systemic change process.

Dr. Phil Wagreich from the University of Illinois at Chicago has agreed to join the RMTC Advisory Board. He is a respected mathematician who has had considerable experience with mathematics reform.

Collaborative Schools
The following fifteen high schools make up the RMTC collaborative: Albion, Battle Creek Central, Battle Creek Math and Science Center, Black River, Fremont, Harper Creek, Holland Christian High School, Kalamazoo Central, Kent City, Lakeview, Loy Norrix, Orchardview, Portage Central, Portage Northern, and Sparta. Thirteen are traditional public schools, one is a parochial school, and Black River is a charter school opening for the first time in the Fall of 1996. All have recently undergone K-12 curriculum reviews and decided to adopt the CPMP curriculum in their high schools. Some have decided to use CPMP Course 1 with selected eighth grade students.

The collaborative includes urban schools with up to 45% minority, suburban schools with a 90% Caucasian student body, and rural schools with a predominately agricultural base. Almost 700 students in one district speak a language other than, or in addition to, English. Forty-five languages, ranging from Abud to Zulu, have been identified as home languages of those students. In two of the districts, fifty percent of the students come from homes where income levels are low enough to qualify them for free and reduced lunch. The diversity of schools within the collaborative, as well as the diversity within many of the schools of the collaborative, ensures the usefulness of RMTC as a model for a wide variety of districts.

The administrators of the collaborative schools are committed to working with RMTC and have made significant financial contributions to the project. These financial contributions include technology, new textbooks, parent awareness resources, substitutes, meeting space, coordinator time, supplies, and release time for a lead teacher. Additionally, they have agreed to support their teachersā professional development by arranging common planning periods, providing release time to visit other teachers, and contributing to the creation of a supportive environment. In part this means being involved in RMTC themselves so that they understand the changes their teachers are making and the challenges they face. Science teachers who are interested in aligning their curriculum with CPMP should be funded by their school districts.

Contacts
We have identified a key contact person for each geographical subgroup of the collaborative. Rose Martin has been given release time by the Battle Creek Math and Science Center and will use a portion of this time to serve as contact person for the six Battle Creek Area high schools and their feeder middle schools. Linda Teare is the Professional Development Coordinator for the Portage Area and will be our contact for the Portage Public Schools. Vern Davis is the Mathematics Supervisor for Kalamazoo and will be responsible for the Kalamazoo Public Schools. Tim Hoeksema, Principal of Holland Christian, will be the contact person for his school and Black River. These contact people will be used when the nature of the contact is primarily administrative. When the contact deals with mathematics issues we will communicate directly with the mathematics chairperson of each school.

Local Communities
Every effort will be made to actively involve the local community in the reform process. Specific approaches will be school-specific and needs-based, but some of the options include:

  • holding biweekly meetings where parents can find out what will be happening in their childās class during the upcoming weeks and learn some of the mathematics that their child will be studying;
  • developing and disseminating mathematics newsletters for community members, students, and staff on a regular basis that contain a section that responds to sent-in questions;
  • inviting parents and community members to visit a classroom and then write their reflections for the mathematics newsletter or school paper;
  • bringing the classrooms to the community through cable public access television and electronic networks such as DIAL (Distance InterActive Learning System);
  • encouraging local business and industries to "adopt" a classroom and provide them with additional resources and support;
  • partnering between university faculty and collaborative teachers;
  • building on the existing connections between local industries and specific units in the curriculum (classroom presentations and field trips);
  • holding "mathematics awareness forums" for the community on a regular basis;
  • holding sessions that focus on how individuals such as counselors, principals, curriculum directors, public relations officers, school board members, and teachers from other disciplines can take in active role in reform by using their positions to support the RMTC teachers;
  • inviting politicians to visit classrooms and professional development meetings to hear from teachers what legislation can best support their efforts to improve mathematics instruction.

Western Michigan University
The Department of Mathematics and Statistics at Western Michigan University has a long and rich tradition of commitment to mathematics education. Along with strong undergraduate, M.A. and Ph.D. programs in mathematics education, the department is contributing to professional development efforts in Michigan through the Mathematical Sciences Sequential Summer Institute (see Previous NSF Support) and two current Eisenhower Mathematics and Science Education Program-supported, state-wide professional development programs, Michigan Mathematics Inservice Project and Making Mathematics Accessible to All. Additionally, the department is providing direction for the NSF-supported Core-Plus Mathematics Project and has received an Eisenhower Higher Education Professional Development Grant for the Secondary Mathematics Teacher Preparation Improvement Project.

The mathematics teacher education programs at WMU are guided by the NCTM Standards (1989, 1991, 1995), both in the content of the courses and in the way the courses are taught. RMTC augments the universityās efforts by providing classrooms for field experiences that reflect what the prospective teachers have learned in their courses. RMTC provides an opportunity for WMU to merge its preservice and inservice programs and provide a model for a seamless transition from preservice to inservice teacher education. Both the College of Education and the College of Arts and Science are supportive of RMTC.

At times appropriate to the participantsā development, university mathematicians will be included in the professional development to provide instruction beyond the CPMP curriculum. The revised budget includes a consultant line that will support incorporating additional mathematical expertise into the professional development activities (see Staff for specifics on three of the mathematicians who will participate). The professors who serve as consultants to the project will be expected to familiarize themselves with the curriculum and participate in the professional development activities directly related to their contribution.

Additionally, the entire mathematics and statistics faculty at Western will be invited to become integrally involved with the project. Interested faculty will be assigned to a collaborative teacher who will invite the professor to fulfill a role in their classroom such as guest speaker, tutor, or mathematics consultant. In all cases, the professor will be expected to also visit the classroom while the collaborative teacher is running the class. This involvement is an opportunity for a large number of university professors to become familiar with the mathematics curriculum that their future students will have studied while sharing their expertise with the collaborative teachers.

Intermediate School Districts
Kalamazoo Valley Intermediate School District (KVISD) is a K-12 service center for schools in Kalamazoo and adjacent counties in Southwest Michigan. It serves as a link between local districts and the State Department of Education, furnishing services that single districts find difficult or impossible to perform. The Instructional Division works very closely with the schools, the Kalamazoo Area Math & Science Center, and Western Michigan University to provide leadership and answer the need for professional development in mathematics. They have agreed to coordinate their efforts with RMTC. Calhoun Intermediate School District serves the Calhoun area and works closely with the Battle Creek Math and Science Center. They have made specific commitments to working with RMTC in the area of electronic networking (see Electronic Networking).

Math and Science Centers
Both the Kalamazoo and Battle Creek Math and Science Centers have outreach to the science and mathematics education communities as part of their mission and, between them, service all of the schools in the collaborative. Their contributions to the RMTC collaborative include providing meeting sites, coordination of peer mentors, organizational support, facilitation of community support, and on-going parent awareness sessions as well as highly qualified staff dedicated to the goals of RMTC.

Michigan Statewide Systemic Initiative
The Michigan Statewide Systemic Initiative (MSSI) shares the goals of RMTC. The director, Nancy Mincemoyer, through serving on the advisory board for RMTC, will be the projectās link to the larger statewide systemic initiative. The RMTC staff will be involved in the planning for year six and beyond of MSSI to determine the best way to link the RMTC districts into the MSSI learning networks. In addition, RMTC will share information gained from the evaluation component of the project with the MSSI staff to contribute to the larger picture of statewide systemic reform.

Business and Industry
Businesses and industries are key partners to the RMTC (see Business/Industry Connection). They understand the importance of preparing teachers who can teach all students significant mathematics.

Evaluation
The evaluation will consist of both formative and summative elements. Formative elements will provide continuous feedback about the strengths and limitations of project activities to be used to improve and revise programs and processes, and determine the effects/impacts of the program on teachers' attitudes and teaching practices. Summative evaluation findings will report on project accomplishments in strengthening mathematics teaching and learning.

Key Evaluation Questions

1. Were the professional development opportunities (summer and school year) effective in preparing mathematics teachers (including those who are reluctant to change) to implement the Core-Plus Mathematics Project?
2. Are district policies and programs supporting the implementation of the vision for mathematics education and systemic change by effectively implementing the CPMP curriculum project? How have obstacles been managed?
3. Is the CPMP program effective in improving all studentsā performance in mathematics? In improving student interest and enrollment in advanced mathematics courses? Do students understand the need for mathematics in the work place?
4. Are there systems in place to prepare teachers, administrators, community stakeholders, and project partners to affect and sustain change over time?
5. Is there an understanding of and support for new directions in school mathematics among parents, industry, and community?

Student performance in Michigan is measured by the Michigan Educational Assessment Program (MEAP) series of tests. We will have access to that data as a way to compare students involved in the RMTC schools with other schools in Michigan.

An additional instrument that CPMP has used in the past to collect student data is the Ability to do Quantitative Thinking test. We would like to continue that practice with a sample of students and will work with the school districts to find a cost-effective way to do this.

We also feel that it is important to collect teacher input on student achievement. Teachers who have taught both with a traditional and reform curriculum in the same school are in a unique position to offer insight about differences in student performance.

Additionally we will look at other issues related to student performance such as changes in student enrollment in advanced mathematics courses and changes in the number of times a student takes the same course.

Data collection will be coordinated with the national LSI evaluator to reduce duplication of effort. All data will be collected in compliance with NSF's Protection of Human Subjects Regulations. Both qualitative and quantitative data will be assembled through use of LSI evaluation data supplemented with special focus data driven by the evaluation questions. The focus of qualitative data collection and analysis will be on documenting and understanding processes, plans, and activities, as well as their impact on teachers, students, and other stakeholders. Emphasis will be given to changes in teaching practices and district support systems. Quantitative data collection and analysis includes rates of participation, program characteristics, student achievement, teacher accomplishments, and takeholder involvement. Observations, individual and group interviews, electronic dialogue, paper/pencil journals, surveys, and document gathering will be used to collect data.

Information from data collection efforts will be compiled and analyzed as it becomes available. Annual reports will be prepared based on data collected over time from various sources. Summaries and specialized reports will be prepared for RMTC planning council meetings as appropriate. Project and school district staffs will be responsible for distribution and collection of surveys and observational instruments to make optimal use of evaluation resources. The external evaluators, Science and Mathematics Program Improvement (SAMPI) at Western Michigan University, will take primary responsibility for analysis and reporting of data. SAMPI conducts the evaluation of the Michigan and Vermont Statewide Systemic Initiatives, the Michigan Mathematics and Science Centers Network, and other mathematics and science education programs. SAMPI co-directors are Dr. Zoe Barley and Dr. Mark Jenness.

Zoe Barley and Mark Jenness are co-evaluators of several mathematics and science initiatives funded through NSF, the U.S. Department of Education, and local agencies. Each has worked in evaluating classroom implementation of mathematics and science standards-based curricula, the evaluation of professional development programming using Practice Profiling and more recently the Principles for Effective Professional development for Mathematics and Science Education, and the evaluation of school-based systemic reform as well as state wide systemic initiatives in Michigan and Vermont. As evaluators for the Michigan frameworks project mathematics and science components, they have developed interview protocols, mailed surveys, and document reviews to insure use of documents produced. In other projects a variety of evaluation tools have been developed and reviewed and modified through work with national colleagues.

Dr. Jenness has been working closely with Horizon Research to improve the data collection methods used in the LSC initiative for local use. Dr. Barley has served on the national committee convened by NSF to formulate data collection for the SSIās. Evaluation of an advanced technology grant has led to the development of electronic surveys for teachers and administrators. Evaluations exclusively focused in mathematics began in 1993 with collaborations with Drs. Robert Laing and Ruth Meyer, mathematics education faculty at Western Michigan University. Barley and Jenness currently are part of the management team for an Eisenhower funded state wide program preparing regional teams of mathematics curriculum reform specialists.

In addition to Barley and Jenness, the evaluation team will include at least one individual who has credentials in mathematics content and teaching. We hope to continue our past practice of involving retired high school mathematics teachers who have a strong understanding of the reform curricula. This person(s) will work with Barley and Jenness to provide reliable observations that reflect the complexity of the mathematics and pedagogy involved in teaching reform curricula.

Dissemination
Dissemination during RMTC will take place through three key channels: 1) RMTC teachers speaking to schools outside the collaborative area about their experiences (CPMP frequently receives requests from districts for teachers familiar with the curriculum to speak to their teachers); 2) materials developed by and for the teachers available for downloading from the RMTC World Wide Web site (such as activities developed by industry tied to particular CPMP lessons); and 3) presentations by the RMTC staff at professional meetings such as National Council of Supervisors of Mathematics, Michigan and National Council of Teachers of Mathematics, Association of Mathematics Teacher Educators, and the Mathematical Association of America.

There are two key components to this plan: maintaining a World Wide Web site for ongoing immediate dissemination and compiling the information into a CD at the end of the project. We anticipate that the CD will be completed and sent out in August of 2000.

In order to maintain a high quality WWW site, we will contract with a multimedia firm to update the site on a monthly basis. At the completion of the project, focused time will be spent reflecting back on the project and the aspects that would be most helpful to others. Also, decisions will be made about additional features, such as video and voice-overs, that should be included in the CD. Beth Ritsema and Laura Van Zoest will devote one weekās time during May/June 2000 to this effort.

As a part of this process, we will invite four people to serve as reviewers for the material. Their role will be to make suggestions for what could be done to make the information more useful. This group will include at least one classroom teacher, at least one school-level mathematics coordinator, and at least one district-level mathematics coordinator. After the content has been determined, Laura will spend an additional two weeks interfacing with the multimedia firm and supervising the creation of the CD master. The multimedia firm will devote an additional 60 hours to preparing the material for CD format.

The advantages of multimedia dissemination include the immediacy of the information on the World Wide Web site and the minimal cost of the actual production and mailing of a CD when compared to the duplicating and postage costs of a paper manual. Additionally, both the WWW site and the CD offer the benefits of a non-linear medium more appropriate to capturing the multidimensional nature of systemic reform.

Our plan for disseminating 500 copies of CD version of the implementation manual focuses on three approaches: 1) visitors to our web page will be informed of the CD and will be able to request it through the web site, 2) we will place announcements of the CDās availability in venues such as the NCTM newsletter, and 3) we will work with Everyday Learning Corp. to provide the CDs to schools that order CPMP materials. We also will make available a paper manual to districts that do not have the technology required to use the CD. The first five hundred requests will be filled free of charge; additional copies will be available for the cost of reproduction and postage.

Timeline for RMTC Activities

Timeline for RMTC Activities

Conclusion
The RMTC collaborative schools are at a crucial juncture as they face the challenge of implementing a reform curriculum system-wide. RMTC provides the schools with the boost necessary to build on their current momentum by providing the professional development support necessary to the successful implementation of reform curricula. RMTC does this through a systemic teacher enhancement program based on an integrated, reflective cycle of professional development activities that use the CPMP curriculum to increase teachersā knowledge of mathematics content, instruction, and student learning. Beyond that, RMTC provides a model of what can happen when local, state, and federal agencies combine to support systemic change in districts seeking to provide opportunities for all of their students to learn significant mathematics.

References
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Cobb, P., Wood, T., and Yackel, E. (1990). Classrooms as learning environments for teachers and researchers. In R. B. Davis, C. A. Maher, and N. Noddings (Eds.), Constructivist views of mathematics. Journal for Research in Mathematics Education Monograph No. 4. Reston, VA: National Council of Teachers of Mathematics.

CPMP. (1995). Overview of the CPMP Curriculum: Contemporary Mathematics in Context. Western Michigan University: CPMP.

Darling-Hammond, L., and McLaughlin, M. W. (1995). Policies that support professional development in an era of reform. Phi Delta Kappan, 597-604.

Decker, R. H., and Dedrick, C. V. L. (1989). Peer-mentoring-exchange program: Opportunities for professional development. [ERIC Document #317347].

Lieberman, A. (1995). Practices that support teacher development. Phi Delta Kappan, 591-596.

Little, J. W. (1993). Teachersā professional development in a climate of educational reform. Educational Evaluation and Policy Analysis, 15(2), 129-51.

Lord, B. (1991). Subject-area collaboratives, teacher professionalism, and staff development. Paper presented at the annual meeting of the American Educational Research Association, Chicago, IL.

National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: NCTM.

National Council of Teachers of Mathematics. (1991). Professional standards for teaching mathematics. Reston, VA: NCTM.

National Council of Teachers of Mathematics. (1995). Assessment standards for school mathematics. Reston, VA: NCTM.

National Foundation for the Improvement of Education. (1993). Changing teaching: The next frontier. Washington, DC: NFIE.

National Research Council. (1989). Everybody counts: A report to the nation on the future of mathematics education. Washington, DC: National Academy Press.

Tafel, L., and Bertani, A. (1992). Reconceptualizing staff development for systemic change. Journal of Staff Development, 13, 42-45.