Transition Mathematics Project

Welcome to TMP's topic index. Here you will find general information, background information and other material related to implementing standards-based education in math.
A. Problems / Tasks

1. University of Texas, Dana Center: Mathematical Models with Applications
2. University of Texas, Dana Center: Supplemental curricular materials
3. Curriculum modules developed at Maricopa CC; available from Houghton Mifflin
   
   Assessments under “Supporting the TEKS and TAKS”: A collection of rich problems and supporting instructional materials
4. MARS: Sample “balanced” assessment tasks
5. Concord Consortium “Balanced Assessments”
6. Phillips Exeter Academy, Problem/Task Examples
7. Sample Math WASL Questions

B. Placement Test Issues

1. Math Placement Test sample items
2. ACT’s ASSET placement test (see “ASSET Student Guide” link for sample items)
3. CSU system’s Entry Level Mathematics test
4. Online math diagnostic assessment developed for UC & CSU systems in California
5. UC system’s Faculty Senate statement on expected math competencies for entering students (includes example problems)
6. American Diploma Project math standards/benchmarks
7. ACCUPLACER placement test info
8. Early Assessment of Readiness for College Mathematics Program: California Standards Tests
9. Entry Level Mathematics Examination: California State University (1 MB)
10. Overview of Washington State Placement Tests
    
11. WASL & two-year college placement test study:(see the link for the study entitled “Relationship Between the WASL and Placement Tests Used by Community and Tech. Colleges”)
12. Advanced Placement Testing Program (the math placement test used by Washington public baccalaureate institutions except for The Evergreen State College)
13. California Math Diagnostic Assessment (MDTP)
14. Early Assessment Program (EAP)
15. WorkKeys

C.Primary Reference Sources for Washington's Readiness Standards

1. Achieve, Inc. 's Comparative Standards Analysis for Washington to Assist in Development of College Readiness Standards, June 25, 2004
2. Achieve, Inc.'s Feedback on the Washington College Readiness Mathematics Standards Development Team Draft of July 21, 2004.
3. Achieve Inc.: Side-by-Side Chart (402 KB)
   This detailed chart compares and analyzes the OSPI, HECB, SBCTC and ADP documents referenced above.
4. American Diploma Project (ADP) College and Workplace Readiness Benchmarks for Mathematics (858 KB)
5. Assessing "College Readiness" (SBCTC-sponsored College Readiness Project)
6. Mathematics Grade Level Expectations for 9-10 (OSPI)
7. Oregon: PASS (Proficiency-based Admission Standards System)
8. Standards and Proficiency Statements in Mathematics (Washington's HEC Board-sponsored Competency-Based Admissions Project)
9. TMP Draft College Readiness Standards

D. Professional Associations and Math Standards

1. Crossroads in Mathematics: Standards for Introductory College Mathematics Before Calculus AMATYC's (American Mathematical Association of Two-Year Colleges)
2. Mathematical Association of America's Committee on the Undergraduate Program in Mathematics (CUPM)
3. National Assessment of Education Progress (NAEP) Mathematics Framework for 2005 (2.33 MB)
4. NCTM (National Council of Teachers of Mathematics) Principles and Standards
5. WA State Math Council to TMP

E. Teaching and Learning

1. Making Math Personal. (A compendium of Web links to current math resources)
2. The Math Learning Center
   
3. Laughbaum, E. (2004) Function Approach to Remedial Algebra & Implementation, College Short Course Program, The Ohio State University (2 MB)
4. Bridging the Vector Calculus Gap (NSF Funded initiative)
5. Houston Urban Network for Science, Technology, Engineering & Technology
6. Kennedy, M.M, (1997). Defining Optimal Knowledge for Teaching Science and Mathematics. National Institute for Science Education, No.10.
7. Kennedy, M. M, (1999, November). Form and Substance in Mathematics and Science Professional Development. National Institute for Science Education, Vol. 3, No.2.
8. Knowing Mathematics for Teaching Algebra
9. Prescriptions for Effective Retention
10. Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics. In D. Grouws (Ed.), Handbook of Research on mathematics teaching and learning (pp. 334-370). New York: MacMillan.
11. Schoenfeld, A. H. (2005). Mathematics Teaching and Learning
    
12. Schoenfeld, A. H. (1999). Looking Toward the Twenty-first Century: Challenges of Educational Theory and Practice
    
    
13. Teacher to Teacher Initiative (Dept of Ed).The Teacher-to-Teacher Initiative was designed by teachers for teachers in order to provide technical support, professional development opportunities, and recognition for teachers of all content areas and grade levels.

F. Curriculum Design and Reform

1. Deepening Everyone's Mathematics Content Knowledge
2. Ball, D. (1994, November). Developing Mathematics Reform: What Don't We Know About Teacher Learning-But Would Make Good Working Hypotheses? Paper prepared for a conference on Teacher Education in Mathematics K-6, Arlington, VA.
3. Packer, Arnold. College Algebra--A Presentation at the Meetings of the Mathematical Association of America in West Point. (2002).
4. Packer, Arnold. "What mathematical competencies do employers want and how to get them." Background paper for SCANS/2000 Project (Secretary's Commission on Achieving Necessary Skills) Section 5, Page 15.
5. Schmidt, W.H., Houang, R., & Cogan, L. (2002). A Coherent Curriculum: The Case of Mathematics. American Educator, Summer, 1-18.
6. Schoenfeld, A. H. (2003). Math Wars. To appear in the 2004 Politics of Education Yearbook, edited by Bonnie C. Johnson & William L. Boyd.
7. *Schoenfeld, A. H. What do we know about mathematics curricula? Journal of Mathematical Behavior (1994), 13(1), pp. 55-80.
8. Tucker, M.S. (n.d.) High school and beyond: The system is the problem - and the solution. National Center on Education and the Economy. Retrieved July 6, 2004.

G. Classroom-based Assessment

1. The Four A's: Accountability, Accreditation, Assessment,
   and Articulation
2. Assessing Content Knowledge, Howard Levine, Chair, California Mathematics Project Assessment Committee
   Report #1
3. Assessing Knowledge of Instructional Strategies, California Mathematics Project Assessment Committee Report #2
4. Black, P. & Wiliam, D. (1998). Inside the Black Box: Raising Standards Through Classroom Assessment. Phi Delta Kappan 80, No. 2 (October 1998): 139-144, 146-148.
5. Integrated Assessment: Challenges and Opportunities, Dylan Wiliam, ETS (70 KB PowerPoint presentation)
6. Ridgway, J. (1998). From Barrier to Lever: Revising Roles for Assessment in Mathematics Education. National Institute for Science Education, Vol. 2, No.1.

H. Reports and Research / Evaluation Studies

1. Whatcom Community College Placement Survey (Fall 2005)
2. TMP Survey Report
3. Reassessing U.S. International Mathematics Performance: New Findings from the TIMSS and PISA. American Institutes for Research (November 2005). (412 KB
4. Math-in-CTE Model Study and
   Math Pilot Study Report (2 MB)
5. Tapping America's Potential: The Education for Innovation Initiative - July 2005 Report
6. Math Teachers Count: Raising Teacher Knowledge and Skills = Raising Student Achievement, Professional Educator Standards Board, November, 2004
7. College Readiness Crisis Spurs Call for Change by ACT in Nation's Core High School Curriculum (ACT Newsroom, October 2004).
8. On Course for Success: A Close Look at Selected Courses That Prepare All Students for College. A report by ACT and the Education Trust takes a close look at the specific ACADEMIC SKILLS that need to be taught in English, math and science courses for high school graduates to be ready for college and work.
9. Fast Track to College: Increasing Post-Secondary Success for All Students, Center for American Progress and the Institute for America’s Future – December 2004 Report.
10. An Action Agenda for Improving America's High Schools: 2005 National Education Summit on High Schools
11. On Course for Success, A Close Look at Selected High School Courses That Prepare All Students For College
12. Pathways Through Algebra Project: Improving Student Success Rates in Elementary Algebra, Kenneth Meehan, Ph.D. and Hal Huntsman, iJournal, Issue No. 9, Fall 2004
13. Disconnected K-16 Systems: Implications for College Assessment, National Resource Center, Dr. Michael W. Kirst, February 15, 2005
14. Standards for What? The Economic Roots of K-16 Reform
15. Achieve Comparison of the 2003 10th Grade Washington Assessment of Student Learning with High School Graduation Exams from Other States, October 11, 2004
16. Connecting High School and College Through Transition Standards, David T. Conley, Ph.D., Director, Standards for Success. (1.0 MB PowerPoint presentation)
17. Johnson, J. (2000). Teaching and Learning Mathematics: Using Research to Shift From the "Yesterday" Mind to the "Tomorrow" Mind. Paper prepared for the Washington State Office of Superintendent of Public Instruction.
18. NAEP; "12th Grade Student Achievement in America: A New Vision for NAEP"; report to the National Assessment Governing Board; March 2004.
19. Pre-College Course Taking by High School Graduates Who Attend Washington Community and Technical Colleges, Research Report 06-5, SBCTC
20. Secretary's Commission on Achieving Necessary Skills
    (SCANS)

I. National and International Standards / Resources

1. The Purdue Calculus Reform Project
2. Professional Communities and Instructional Improvement Practices: A study of small high schools in Chicago
3. NZmaths (New Zealand)
   
4. Equipped For the Future (EFF) Math Standards
   EFF Center for Training and Technical Assistance at Center for Literacy Studies, University of Tennessee
   
5. Keynote address: Trustees Association of Community & Technical Colleges, William C. Harris, Director General Science Foundation Ireland (February 12, 2006).
6. Rice University School Mathematics Project (RUSMP)
7. American Mathematical Association of Two-Year Colleges
8. The Nation's Report Card: National Center for Education Statistics
9. The Nation's Report Card Sample Questions
10. Programme for International Student Assessment: Problem Solving for Tomorrow's World
11. British Columbia Committee on the Undergraduate Programme in MATHEMATICS: What math is really needed to succeed in university or college? A Mathematics Proficiencies study involving 24 colleges, universities and institutes was recently conducted in British Columbia with some astonishing results.
12. California Mathematics Project
13. Crossroads in Mathematics: Standards for Introductory College Mathematics Before Calculus
14. Curriculum Foundations Project, CRAFTY (Curriculum Reform Across the First Two Years). Chapters "Collective Visions" and "Mathematics"
15. Indiana
16. Massachusetts
17. Mathematics Framework for the 2003 National Assessment of Educational Progress
18. National Council of Teachers of Mathematics Standards
19. No Small Task - Changing Math Changing Minds
    A report commissioned by SciMathMN on the lessons learned from four Minnesota school districts that have weathered the storm surrounding the adoption and implementation of standards-based mathematics curriculum materials.
    
    
    Other sections of this report:
    
    http://www.scimathmn.org/Case_Introduction.pdf
    http://www.scimathmn.org/Case1_OpenProcess.pdf
    http://www.scimathmn.org/Case2_BuildingCapacity.pdf
    http://www.scimathmn.org/Case3_RethinkingLeadership.pdf
    http://www.scimathmn.org/Case4_AligningGoals.pdf
    http://www.scimathmn.org/Case_EngagingPublic.pdf
    http://www.scimathmn.org/Case_Endnotes.pdf
    http://www.scimathmn.org/Case_Biblio.pdf
20. Oregon: PASS (Proficiency-based Admission Standards System)
21. Resources for implementing the mathematics Texas Essential Knowledge and Skills (TEKS) and for improving mathematics programs in Texas
22. A Summary Profile of Mathematics and Science Education in the Bellevue School District, Bellevue, Washington.
    Research conducted by the TIMSS National Research Center.
23. University of California Senate Statement of Competencies in Mathematics Expected of Entering College Students
24. American Diploma Project (ADP) College and Workplace Readiness Benchmarks for Mathematics (858 KB)
25. Mathematics Grade Level Expectations for 9-10 (OSPI)

J. Learning Materials, Resources, Programs and Modules Supporting Standards and Achievement in Math

1. Teacher-to-Teacher Summer Workshops, US Department of Education, Mathematics and Science
2. Laying the Foundation: Construction Math (Construction Center of Excellence, Renton Technical College)
3. Teacher Quality Modules
4. Mathematics TEKS Toolkits in English and in Spanish
5. Houston Urban Network for Science, Technology, Engineering and Mathematics
6. National Center for Academic Transformation
7. Rice University School Mathematics Project (RUSMP)
8. The Math Success Website. Information on successfully meeting the Entry Level Math requirement in California.
9. Charles A. Dana Center, Teacher Quality Modules
10. Project Interactive consists of Java-based courseware including lesson plans, activities, tools, and a dictionary for exploration of science and mathematics. Lessons give teachers a script to follow when using the activities and related discussions.
11. Undergraduate Programs and Courses in the Mathematical Sciences
12. National Council of Teachers of Mathematics, Principles and Standards Resources
13. The Consortium for Mathematics and its Applications (COMAP develops curriculum materials and teacher development programs that are multidisciplinary, academically rigorous, and fun for teachers to teach and students to learn.
14. PRISSM: Partnership for Reform in Secondary Science and Mathematics
15. Got Math? Multiply Your Options for the Future (2-page, bifold, tripanel color brochure - 1 MB)
16. Got Math? Multiple Your Options for the Future (6-page color handout includes same content as the color brochure but uses larger font sizes - 1 MB)
17. A Consortium of Mathematics and its Applications
18. Charles A. Dana Center
    Based at the University of Texas at Austin, the Dana Center supports student achievement in mathematics through field-tested resources for mathematics teachers and professional development institutes for education leaders.
19. College & Work Ready Agenda
    The College & Work Ready Agenda advocates for high-quality learning opportunities for all Washington’s children—from birth through high school and from college into career..
20. Connected Mathematics Project
    Mathematics curriculum that helps students develop an understanding of important concepts, skills, procedures, and ways of thinking and reasoning in number, geometry, measurement, algebra, probability and statistics.
21. Cooper, A. (June 16, 1999). Mathematics learning materials on the Web: A topic-by-topic guide to professionally reviewed web-based resources suitable for use at senior secondary and junior post-secondary levels. Retrieved July 6, 2004.
22. CUPM Quantitative Learning Community
    The Mathematical Association of America's Committee on the Undergraduate Program in Mathematics (CUPM) is charged with examining and making recommendations concerning all aspects of undergraduate mathematics or quantitative literacy requirements, including courses, tests, and other requirements that may be established for all students who receive a bachelor's degree.
23. Helping Your Child Make Sense of Math Bookmark
24. Internet Resources for the Mathematics Student, Langara College, Department of Mathematics and Statistics
25. Maricopa Project
    Present mathematics modules for college students in courses before College Algebra and in Quantitative Reasoning courses. This mathematics course material is based on the AMATYC Crossroads Standards for Foundation Mathematics.
26. Math Archives, University of Tennessee, Knoxville
27. Math Central: An Internet service for mathematics teachers and students from kindergarten to grade twelve
28. Math Forum @ Drexel
    A resource to help students learn mathematics through the use of the Internet and innovative technologies.
29. Mathematical Association of America's Project CLUME Resources for mathematics instructors at all post-secondary levels who are interested in using cooperative learning in their mathematics classes.
30. Mathematical Sciences Research Institute (MSRI)
    An organization designed to further mathematical research through broadly based programs in the mathematical sciences and closely related activities.
31. MathematicallySane.com
    A national grassroots effort designed to provide a broad array of evidence that reform initiatives have been successful and have raised student achievement in school districts across the country.
32. Mathematics Across the Curriculum (MAC)
    A set of resources and activities providing support and training for faculty from various disciplines, especially faculty from disciplines not traditionally associated with mathematics, to incorporate mathematics or quantitative reasoning into their courses. Located at Washington state's Edmonds Community College.
33. Mathematics Assessment Resource Service (MARS)
    An organization that works with districts and states on performance assessment design and implementation, and on professional development for designers and teachers. The aim is to help the local leadership develop local capability to meet local needs.
34. Mathematics Throughout the Curriculum Project
    Resources and activities supporting their aim of correcting the perception on the part of many students that mathematics is something isolated from - if not irrelevant to - other disciplines, the real world, and the students' own ambitions and goals. Located at Indiana University.
35. Oregon's Proficiency-based Admission Standards System (PASS): Documents and Publications
    An organized array of Oregon-specific resources for their state-wide standards effort. Provides excellent examples for beginning similar work in other states.
36. Pathways to College Network and Clearinghouse
    An alliance of 34 national organizations and funders focusing research-based knowledge and resources on improving college preparation, access, and success for underserved groups, including low-income students, underrepresented minorities, first-generation students, and students with disabilities.
37. Quantitative Environmental Learning Project
    Resources to integrate math and environmental science in college classrooms.
38. Sample WASL Questions
39. SciMathMN
    Resources and activities that support improved student learning in K-12 science and mathematics via standards-based, systemic reforms for policy and practice.
40. Student Success Programs
    Washington's community and technical colleges are committed to "Creating Opportunities for Washington's Future" by raising the knowledge and skills of the state's residents. To support that commitment, the system's colleges are involved in local and national programs designed to promote and achieve educational attainment for all residents across the state.