Prelude to Algebra

“making algebra make sense”

References

Carraher, D. W.,  Schliemann, A. D., Brizuela, B. M., and Earnest, D. (2006) Arithmetic and Algebra in Early Mathematics Education.  Journal for Research in Mathematics Education: 37, 87-115.

Clement, John, Jack Lochhead, and George Monk. (1981) Translation Difficulties in Learning Mathematics.  The American Mathematical Monthly: 88, 286-290.

Lay, L. Clark. (1959) The Development of a Course in Arithmetic to Prepare for Introductory Algebra.  Dissertation.  University of California at Los Angeles, Department of Education.

Lay, L. Clark, and Steven R. Lay. (1985) Mathematics Remediation with Dignity.  The AMATYC Review: 6, 48-53.

Lay, Steven. (2006a) Reducing Math Anxiety by Improving the Math.  Paper presented at the annual meeting of the Mathematics Association of America, San Antonio, TX.

Lay, Steven. (2006b) Operator Approach to Preparing for Algebra.  International Journal of Learning: 13 (8), 129-133.

Lochhead, Jack. (1983) The Mathematical Needs of Students in the Physical Sciences.  The Future of College Mathematics: Proceedings of a Conference/Workshop on the First Two years of College Mathematics, edited by Anthony Ralston and Gail Young.  New York: Springer-Verlag.  55-70.

Stage, Frances and Peter Kloosterman. (1995) Gender, Beliefs, and Achievement in Remedial College-Level Mathematics.  Journal of Higher Education: 66, 294-311.    

Wu, H. (2005) Must Content Dictate Pedagogy in Mathematics Education?  Talk given at California State University at Northridge on October 27, 2004.  Expanded version (May, 2005) available at http://math.berkeley.edu/~wu/.