Mathematics Curriculum Framework November 2000
References, Selected Bibliography, and Endnotes
References
Massachusetts Department of Elementary and Secondary Education, Achieving Mathematical Power, Mathematics Curriculum Framework, 1995.
Massachusetts Department of Elementary and Secondary Education, Guide to the Massachusetts Comprehensive Assessment System: Mathematics, January 1998.
National Council of Teachers of Mathematics, NCTM Standards 2000: Principles and Standards for School Mathematics, April 2000.
U.S. Department of Education Office of Educational Research and Improvement, Attaining Excellence: A TIMSS Resource Kit. Washington, DC, 1997.
Selected Bibliography
Council of Chief State School Officers/State Education Assessment Center, State Indicators of Science and Mathematics Education: StatebyState Trends and New Indicators from the 199596 School Year, 1997.
The Famous Dictionary of Mathematics. Accessed March 125, 2000.
Harcourt Animated Math Glossary. Accessed February 2325, 2000.
Ingersoll, Richard. "The Problem of Underqualified Teachers in American Secondary School," Education Researcher, March 1999, p. 31.
International Society for Technology in Education, National Educational Technology Standards for Students, June 1998.
Keynes, H., Fisher, N., Wagreich P. (eds.), Mathematicians and Education Reform, AMS/MAA, 1990.
Leitzel, James R.C. (ed.), A Call for Change: Recommendations for the Mathematical Preparation of Teachers of Mathematics, Mathematics Association of America, 1991.
Ma, Liping, Knowing and Teaching Elementary Mathematics, Mahwah, New Jersey: Lawrence Erlbaum Associates, 1999.
Massachusetts Department of Elementary and Secondary Education, Curriculum Frameworks Implementation Guide: Suggested Tools and Strategies, July 1998.
Massachusetts Department of Elementary and Secondary Education, Massachusetts Comprehensive Assessment System: Release of May, 1998 Test Items, 1998.
Massachusetts Department of Elementary and Secondary Education, Partnerships Advancing the Learning of Mathematics and Science, PALMS Phase II May Report 19971998, submitted to the National Science Foundation, May 15, 1998.
McEwan, Elaine, The Principal's Guide to Raising Mathematics Achievement, Thousand Oaks, CA: Corwin Press, 2000.
MerriamWebster's Collegiate Dictionary. Accessed March 125, 2000.
National Council of Teachers of Mathematics, NCTM Standards 2000, Principles and Standards for School Mathematics: Discussion Draft, October 1998.
National Science Foundation, Equity Framework in Science, Technology and Mathematics Education, 1996.
Sanders, William L. and Rivers, Joan C., "Cumulative and Residual Effects of Teachers on Future Student Academic Achievement," from The Education Trust, Thinking K16: Good Teacher Matters: How WellQualified Teachers Can Close the Gap, Vol. 3, no. 2 (Summer 1998).
Steen, L. A. (ed.), Heeding a Call for Change: Suggestions for Curricular Action, Mathematics Association of America, 1992.
Steen, L. A., On the Shoulders of Giants: New Approaches to Numeracy, Washington, DC: National Academy Press, 1990.
U.S. Department of Education Office of Educational Research and Improvement, Linking the National Assessment of Educational Progress (NAEP) and the Third International Mathematics and Science Study (TIMSS): EighthGrade Results, July 1998.
U.S. Department of Education Office of Educational Research and Improvement, NAEP 1996 Mathematics Report Card for the Nation and the States, February 1997.
U.S. Department of Education Office of Educational Research and Improvement, NAEP 1996 Mathematics State Report for Massachusetts, June 1997.
Endnotes
1 Massachusetts Department of Elementary and Secondary Education, internal report, Course Progression and Placement Leading to Enrollment in Advanced Placement Calculus in the Twelfth Grade, March 2000.
2 U.S. Department of Education, "Mathematics Equals Opportunity" (white paper prepared for U.S. Secretary of Education Richard W. Riley), October 20, 1997.
3 Ma, Liping, Knowing and Teaching Elementary Mathematics, Mahwah, New Jersey: Lawrence Erlbaum Associates, 1999.
4 Milken, Lowell, A Matter of Quality: A Strategy for Assuring the High Caliber of America's Teachers, Santa Monica, California: Milken Family Foundation, 1999, p. 8. [drawn from Sanders and Rivers, see Selected Bibliography]
5 Ibid, p. 16 [drawn from Ingersoll, see Selected Bibliography]
6 Ma, p. 147.
7 "U.S. fourth graders use calculators and computers in mathematics class more frequently than do students in most other TIMSS countries. Use of calculators in U.S. fourthgrade mathematics classes is about twice the international averageā¦. In six of the seven nations that outscore the U.S. in mathematics, teachers of 85 percent or more of the students report that students never [or hardly ever] use calculators in class."
National Center for Education Statistics, Pursuing Excellence: A Study of U.S. FourthGrade Mathematics and Science Achievement in International Context, chapter 2 "Contexts of Learning", accessed June 15, 2000.
8 National Council of Teachers of Mathematics, NCTM Standards 2000, Principles and Standards for School Mathematics, April 2000.
9 As the Notices of the American Mathematical Society state, standard algorithms "are more than just 'ways to get the answer'that is, they have theoretical as well as practical significance. For one thing, all the algorithms of arithmetic are preparatory for algebra.... The division algorithm is also significant for later understanding of real numbers."
American Mathematical Society NCTM 2000 Association Resource Group, Notices of the American Mathematical Society, Second Report, February 1998.
10 National Council of Teachers of Mathematics, NCTM Standards 2000, Principles and Standards for School Mathematics, April 2000.
11 Pratt Institute, The Architectural Event, accessed June 15, 2000.
Last Updated: November 1, 2000
