M406A: Curriculum and Assessment in Secondary School Mathematics

Tentative Reading List for Spring 2006

Required textbooks:

Cooney, T. J., Brown, S. I., Dossey, J. A., Schrage, G., & Wittmann, E. (1996). Mathematics, pedagogy, and secondary teacher education.

National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.

Coursepack reference list (ordered to match coursepack):

Introduction:

Burrill, G. (1997). Choices and challenges. The Mathematics Teacher, 90(6), 506-511.

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Middle School Curriculum:

Smith, M. S., & Stein, M. K. (1998). Selecting and creating mathematical tasks: From research to practice. Mathematics Teaching in the Middle School, 3(5), 344-350.

Stern, F. L. (2003). How many students tall is the school building? Mathematics Teaching in the Middle School, 8(5), 238-243..

Tracy, D. M., & Hague, M. S. (1997). Toys ‘r’ math. Mathematics Teaching in the Middle School, 2(3), 141-159.

Koirala, H. P., & Goodwin, P. M. (2002). Middle-level students learn mathematics using the U. S. map. Mathematics Teaching in the Middle School, 8(2), 86-90.

McIntosh, A., Reys, R. E., & Reys, B. J. (1997). Mental computation in the middle grades: The importance of thinking strategies. Mathematics Teaching in the Middle School, 2(5), 322-327.

Driscoll, M. (1999). Fostering algebraic thinking: A guide for teachers, grades 6-10. Portsmouth, NH: Heinemann. [Chapter 6: Fostering symbol sense, p. 115-140]

Lappan, G., Fey, J. T., Fitzgerald, W. M., Friel, S. N., Phillips, E. D. (1998). Say it with symbols: Algebraic reasoning. The Connected Mathematics Project, p. 21-22 (Blackline Masters 108-110). Menlo Park, CA: Dale Seymour.

Rubenstein, R. N. (2002). Building explicit and recursive forms of patterns with the function game. Mathematics Teaching in the Middle School, 7(8), 426-431.

Day, R., & Jones, G. A. (1997). Building bridges to algebraic thinking.Mathematics Teaching in the Middle School, 2(4), 208-212.

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Middle/High School Curriculum (algebra and functions):

Van Dyke, F. (1994). Relating to graphs in introductory algebra. The Mathematics Teacher, 87(6), 427-434.

Van Dyke, F., & Craine, T. V. (1997). Equivalent representations in the learning of algebra. The Mathematics Teacher, 90(8), 616-619.

McGraw, R., & Grant, M. (2005). Investigating mathematics with technology: Lesson structures that encourage a range of methods and solutions. In W. J. Masalski (Ed.), Technology Supported Mathematics Learning Environments. Reston, VA: National Council of Teachers of Mathematics.

Thomas, D. A., & Thomas, R. A. (1999). Discovery algebra: Graphing linear equations. The Mathematics Teacher, 92(7), 569-572.

Edwards, T. G., & Chelst, K. R. (1999). Promote systems of linear inequalities with real-world problems. The Mathematics Teacher, 92(2), 118-123.

Usiskin, Z. (1995). What should not be in the algebra and geometry curricula of average college-bound students? The Mathematics Teacher, 88(2), 156-164.

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Middle/High School Curriculum (geometry):

Harrell, M. E., & Fosnaugh, L. S. (1997). Allium to zircon: Mathematics. Mathematics Teaching in the Middle School, 2(6), 380-389.

Maupin, S. (1996). Middle-grades geometry. Mathematics Teaching in the Middle School, 1(10), 790-796.

Slavit, D. (1998). Above and beyond AAA: The similarity and congruence of polygons. Mathematics Teaching in the Middle School, 3(4), 276-280.

Sharp, J. M., & Heimer, C. (2002). What happens to geometry on a sphere? Mathematics Teaching in the Middle School, 8(4), 182-188.

Battista, M. T., & Clements, D. H. (1995). Geometry and proof. The Mathematics Teacher, 88(1), 48-54.

Choppin, J. M. (1994). Spiral through recursion. The Mathematics Teacher, 87(7), 504-508.

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Assessment:

Thompson, D. R., Beckmann, C. E., & Senk, S. L. (1997). Improving classroom tests as a means of improving assessment. The Mathematics Teacher, 90(1), 149-155.

Manon, J. R. (1995). The mathematics test: A new role for an old friend. The Mathematics Teacher, 88(2), 138-141.

Cai, J., Magone, M. E., Wang, N., & Lane, S. (1996). Describing student performance qualitatively. Mathematics Teaching in the Middle School, 1(10), 828-835.

Albert, L. R., Mayotte, G., & Sohn, S. C. (2002). Making observations interactive. Mathematics Teaching in the Middle School, 7(7), 396-401.

Kitchen, R., Cherrington, A. Gates, J., Hitchings, J., Majka, M., Merk, Michael, & Trubow, G. (2002). Supporting reform through performance assessment. Mathematics Teaching in the Middle School, 8(1), 24-30.