### Bibliography
Albert Shanker Institute. "From Best Research to What Works: Improving the Teaching and Learning of Mathematics." *The Albert Shanker Institute*. May 5, 2005. http://www.shankerinstitute.org/Downloads/Forum%20Transcript.5.5.05.doc (Accessed September 24, 2007).
Behr, Merlyn J. and Thomas R. Post. "Teaching Rational Number and Decimal Concepts." In Thomas R. Post (ed.), *Teaching Mathematics in Grades K–8* (Boston, MA: Allyn and Bacon, 1992), pp. 201–248. http://cehd.umn.edu/rationalnumberproject/92_2.html (Accessed April 11, 2008).
Bransford, John D., Ann L. Brown and Rodney R. Cocking (eds.). *How People Learn: Brain, Mind, Experience and School *(expanded ed.). Washington, DC: National Academy Press, 2000.
Buck, George. "Technology Integration in the Mediaeval Period: Factors Relevant to the Present."* Journal of Curriculum Theorizing *16, 4 (2000), pp. 79–90.
Burger, Edward B. and Michael Starbird. *The Heart of Mathematics: An Invitation to Effective Thinking* (2nd ed.). Emeryville, CA: Key College Publishing, 2005.
Clements, Douglas H. and Sue McMillen. "Rethinking 'Concrete' Manipulatives." *Teaching Children Mathematics* 2, 5 (1996), pp. 270–279.
Cohen, David K. and Deborah Loewenberg Ball. "Making Change: Instruction and Its Improvement." *Phi Delta Kappan* 83, 1 (2001), pp. 73–77.
Donovan, M. Suzanne and John D. Bransford (eds.). *How Students Learn. Mathematics in the Classroom*. Washington, DC: The National Academies Press, 2005.
Friesen, Sharon. "Math: Teaching It Better." *Education Canada *46, 1 (2006), pp. 6–10.
Friesen, Sharon and Michael G. Stone. "Great Explorations."* Applying Research to the Classroom* 14, 2 (1996), pp. 6–11.
Fuson, Karen C., Mindy Kalchman and John D. Bransford. "Mathematical Understanding: An Introduction." In M. Suzanne Donovan and John P. Bransford (eds.), *How Students Learn: Mathematics in the Classroom* (Washington, DC: The National Academies Press, 2005), pp. 217–256).
Galileo Educational Network. "Area is a Square Deal." *Galileo Educational Network*. 2002–2007. http://www.galileo.org/math/investigations/area.html (Accessed August 8, 2007).
Hewitt, Dave. "H S M Coxeter is a geometer." *Mathematics Teaching *117, 12 (1986), pp. 34–35.
Hiebert, James et al. "Problem Solving as a Basis for Reform in Curriculum and Instruction: The Case of Mathematics." *Educational Researcher* 25, 4 (1996), pp. 12–21.
Ho, Hsiu-Zu et al. "The Affective and Cognitive Dimensions of Math Anxiety: A Cross-national Study." *Journal for Research in Mathematics Education *31, 3 (2000), pp. 362–379.
Jacobson, Michael J. and Uri Wilensky. "Complex Systems in Education: Scientific and Educational Importance and Implications for the Learning Sciences."* Journal of the Learning Sciences *15, 1 (2006), pp. 11–34.
Johnston, Michelle and Nancy Cooley. *Supporting New Models of Teaching and Learning through Technology*. Arlington, VA: Educational Research Service, 2001.
Kaput, James J. "A Research Base Supporting Long Term Algebra Reform?" In Douglas T. Owens, Michelle K. Reed and Gayle M. Millsaps (eds.), *Proceedings of the Seventeenth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*, Vol. 1 (Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education, 1995), pp. 71–94.
Kastenbaum, David. "The Challenges of IDC: What Have We Learned from Our Past? A Conversation with Seymour Papert, Marvin Minsky, and Alan Kay." *Communications of the ACM* 48, 1 (2005), pp. 35–38.
Kilpatrick, Jeremy, Jane Swafford and Bradford Findell (eds.). *Adding It Up: Helping Children Learn Mathematics*. Washington, DC: National Academy Press, 2001.
Kriegler, Shelley. "Just What Is Algebraic Thinking?" n.d. http://www.math.ucla.edu/~kriegler/pub/algebrat.html (Accessed July 10, 2007).
Lappan, Glenda and Diane Briars. "How Should Mathematics Be Taught?" In Iris M. Carl (ed.), *Seventy-Five Years of Progress: Prospects for School Mathematics* (Reston, VA: The National Council of Teachers of Mathematics, 1995), p. 131–156.
Lattin, Harriet Pratt. *The Letters of Gerbert, with His Papal Privileges as Sylvester II*. New York, NY: Columbia University Press, 1961.
Moss, Joan. "Pipes, Tubes, and Beakers: New Approaches to Teaching the Rational-Number System." In M. Suzanne Donovan and John D. Bransford, *How Students Learn: Mathematics in the Classroom* (Washington, DC: The National Academies Press, 2005), pp. 309–349.
National Council of Teachers of Mathematics (NCTM).*Principles and Standards for School Mathematics*. Reston, VA: The National Council of Teachers of Mathematics, 2007. http://standards.nctm.org/document/chapter3/prob.htm
Newmann, Fred M. "Authentic Intellectual Work: What and Why?" *Research/Practice Newsletter *8, 1 (Fall 2000). http://www.education.umn.edu/CAREI/Reports/Rpractice/Fall2000/newmann.html (Accessed September 24, 2007).
Newstead, Karen. "Aspects of Children's Mathematics Anxiety."* Educational Studies in Mathematics *36, 1 (1998), pp. 53–71.
Reys, Barbara J. *Developing Number Sense in the Middle Grades (Curriculum and Evaluation Standards for School Mathematics Addenda Series, Grades 5–8)*.Reston, VA: The National Council of Teachers of Mathematics, 1992.
Rigelman, Nicole R. "Fostering Mathematical Thinking and Problem Solving: The Teacher’s Role." *Teaching Children Mathematics*, 13, 6, (2007), pp. 308–314.
Rigelman, Nicole Rent Miller. *Teaching Mathematical Problem Solving in the Context of Oregon's Educational Reform. *Ed.D. dissertation, Portland State University, 2002. *Dissertation Abstracts International *63, 06 (2003), *21 *69.
Romberg, Thomas A. and James J. Kaput. "Mathematics Worth Teaching, Mathematics Worth Understanding." In Elizabeth Fennema and Thomas A. Romberg (eds.), *Mathematics Classrooms That Promote Understanding *(Mahwah, NJ: Lawrence Erlbaum Associates, 1999), pp. 3–18.
Schielack, Jane F. et al. *Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics: A Quest for Coherence*. Reston, VA: The National Council of Teachers of Mathematics, 2006.
Schoenfeld, Alan H. "When Good Teaching Leads to Bad Results: The Disasters of Well Taught Mathematics Classes. *Educational Psychologist *23, 2 (1988), pp. 145–166.
Schoenfeld, Alan H. "The Math Wars." *Educational Policy* 18, 1 (2004), pp. 253–286.
Schoenfeld, Alan H. "Purposes and Methods of Research in Mathematics Education." *Notices of the AMS* 47, 6 (2000), pp. 641–649.
Stewart, Ian. *Letters to a Young Mathematician*. New York, NY: Basic Books, 2006.
Stigler, James W. and James Hiebert. *The Teaching Gap: Best Ideas from the World's Teachers for Improving Education in the Classroom*. New York, NY: The Free Press, 1999.
Utah State University. "Geometry (Grades 3–5)." *National Library of Virtual Manipulatives*. 1999–2007. http://nlvm.usu.edu/en/nav/category_g_2_t_3.html (Accessed August 8, 2007).
Van de Walle, John A. *Elementary and Middle School Mathematics: Teaching Developmentally*. 5th ed. Boston, MA: Pearson Education, Inc., 2004.
Van de Walle, John A. *Elementary and Middle School Mathematics: Teaching Developmentally.* 4th ed. Boston, MA: Addison Wesley Longman, Inc., 2001.
Wilensky, Uri. "What Is Normal Anyway? Therapy for Epistemological Anxiety."* Educational Studies in Mathematics *33, 2 (1997), pp. 171–202.
Willis, Judy. "The Gully in the 'Brain Glitch' Theory." *Educational Leadership* 64, 5 (2007), pp. 68–73. |