Bibliography of References and Resources for MA 380

Secondary Education Seminar in Mathematics

The following articles, texts, and websites provide valuable math education information.

General References

Crouse, R. and Sloyer, C. Mathematical Questions from the Classroom, Parts I and II. Providence, RI: Janson Publications, 1987.

Farrell, M. and Farmer, W. Secondary Mathematics Instruction: An Integrated Approach. Reading, MA: Addison-Wesley, 1988.

Hilton, P. "The Joy of Mathematics: A Mary P. Dolciani Lecture." The College Mathematics Journal 23, no. 4 (September 1992): 274-281.

Hirsch, E.D. Jr. The Schools We Need and Why We Don't Have Them. New York: Doubleday, 1996.

Neyland, J., ed. Mathematics Education: A Handbook for Teachers, 2 volumes. Reston, VA: NCTM, 1994.

North Carolina State University Mathematics Department. How Not to Teach Mathematics. Raleigh, NC: NCSU, 1997. Available on videocassette.

Polya, G. a.) "Ten Commandments for Teachers". Journal of Education of the Faculty and College of Education of the University of British Columbia; Vancouver and Victoria, no. 3 (1959): 61-69.

b.) "Mathematical Discovery: On Understanding, Learning, and Teaching Problem Solving", 2 volumes. New York: John Wiley & Sons, 1962 and 1965.

c.) "Guessing and Proving". California Math. 3 (1976): 1-8.

d.) "Fundamental Ideas and Objectives of Mathematical Education." Mathematics in Commonwealth Schools (1969): 27-34.

e.) "On Learning, Teaching, and Learning Teaching." American Mathematical Monthly 70 (1963): 605-619.

Posamentier, A. and Stepelman, J. Teaching Secondary Mathematics: Techniques and Enrichment Units, fifth ed. Upper Saddle River, NJ: Prentice-Hall, Inc., 1999.


Curricular References

Andrews, G. "Mathematical Education: A Case for Balance." The College Mathematics Journal 27, no. 5 (November 1996): 341-348, 354-355. with response by Mathews, D. "Mathematics Education: A Response to Andrews." The College Mathematics Journal 27, no. 5 (November 1996): 349-353.

Battista, M. "The Mathematical Miseducation of America’s Youth: Ignoring Research and Scientific Study in Education." Phi Delta Kappan 80, no. 6 (February 1999): 424-33.

Cooney, T., ed. Teaching and Learning Mathematics in the 1990’s, 1990 NCTM Yearbook. Reston, VA: NCTM, 1990.

Hart, K. et al. Children's Mathematical Frameworks 8-13: A Study of Classroom Teaching, Johnson, D. ed. Windsor, Berk, UK: NFER-Nelson, 1989.

Jackson, A. "The Math Wars: California Battles It Out Over Mathematics Education Reform (Parts I and II)." Notices of the AMS 44, no. 6: 695-702 and 44, no. 7: 817-823.

NCTM. Curriculum and Evaluation Standards for School Mathematics. Reston, VA: NCTM, 1989.

NCTM. Principles and Standards for School Mathematics. Reston, VA: NCTM, April 2000.

Reys, B. et al. "Mathematics Curricula Based on Rigorous National Standards: What, Why, and How?" Phi Delta Kappan 80, no. 6 (February 1999): 454-456.

Schoen, H. et al. "Issues and Options in the Math Wars." Phi Delta Kappan 80, no. 6 (February 1999): 444-453.

Wu, H.-H. "The Mathematics Education Reform: Why You Should Be Concerned and What You Can Do." The American Mathematical Monthly 104, no. 10 (December 1997): 946-954. with response by Kilpatrick, J. "Confronting Reform." The American Mathematical Monthly 104, no. 10 (December 1997): 955-962.


Technology Use References

Barksdale, K. and Steffe, J. Math with Computers. Cincinnati, OH: Computer Literacy Press, 1998.

Demana, F. and Waits, B. "Problem Solving Using Microcomputers." The College Mathematics Journal 18, no. 3 (March 1987): 236-241.

Demana, F. and Waits, B. "Pitfalls in Graphical Computation, and Why a Simple Graph Isn't Enough." The College Mathematics Journal 19, no. 2 (February 1988): 177-183.

Derderian, J.-C. and Rodríguez-Carrington, E. "Undersampled Sine Waves." The College Mathematics Journal 29, no. 3 (May 1998): 213-218.

Duncan, J. "The White Heat of Technology." The American Mathematical Monthly 102, no. 3 (March 1995): 194.

Hendel, R. "Differentiation via Partial Fractions: A Case against CAS." The College Mathematics Journal 22, no. 5 (November 1991): 415-417.

NCTM. "Calculators -- What is Their Place in Math Instruction." Mathematics Education Dialogues 2, no. 3 (May/June 1999): 1-15.

Pulskamp, R. and Larkin, W. "Using the Sign Function to Analyze Graphs." The College Mathematics Journal 25, no. 4 (April 1994): 327-328.

Stewart, J. "Graphing Calculators and Computers." Calculus: Early Transcendentals, fourth ed. Pacific Grove, CA: Brooks/Cole, 1995, 50-56.


Developmental References

Ball, D. "Prospective Elementary and Secondary Teachers’ Understanding of Division." Journal for Research in Mathematics Education 21, no. 2 (1990): 132-144.

Copeland, R. How Children Learn Mathematics: Teaching Implications of Piaget's Research, second ed. New York: Macmillan, 1974.

Geary, D. Children's Mathematical Development: Research and Practical Applications Washington, D.C.: American Psychological Association, 1994.

Geary, D. "Reflections of Evolution and Culture in Children’s Cognition: Implications for Mathematical Development and Instruction." American Psychologist 50, no. 1 (January 1995): 24-37.

Ma, L. Knowing and Teaching Elementary Mathematics: Teachers’ Understanding of Fundamental Mathematics in China and the United States. Mahwah, NJ: Lawrence Erlbaum Associates, 1999.

Post, T. et al. "Intermediate Teachers’ Knowledge of Rational Number Concepts." Integrating Research on Teaching and Learning Mathematics, Fennema, E. et al. eds. Albany, NY: SUNY, 1991, 177-198.

Wu, H.-H. "Basic Skills Versus Conceptual Understanding: A Bogus Dichotomy in Mathematics Education." American Educator (Fall 1999): 14-19, 50-52.