**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 Journal23, 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 Monthly70 (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 Kappan80, 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 AMS44, 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 Kappan80, no. 6 (February 1999): 454-456.Schoen, H. et al. "Issues and Options in the Math Wars."

Phi Delta Kappan80, 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 Monthly104, no. 10 (December 1997): 946-954. with response by Kilpatrick, J. "Confronting Reform."The American Mathematical Monthly104, 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 Journal18, 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 Journal19, no. 2 (February 1988): 177-183.Derderian, J.-C. and Rodríguez-Carrington, E. "Undersampled Sine Waves."

The College Mathematics Journal29, no. 3 (May 1998): 213-218.Duncan, J. "The White Heat of Technology."

The American Mathematical Monthly102, no. 3 (March 1995): 194.Hendel, R. "Differentiation via Partial Fractions: A Case against CAS."

The College Mathematics Journal22, no. 5 (November 1991): 415-417.NCTM. "Calculators -- What is Their Place in Math Instruction."

Mathematics Education Dialogues2, no. 3 (May/June 1999): 1-15.Pulskamp, R. and Larkin, W. "Using the Sign Function to Analyze Graphs."

The College Mathematics Journal25, 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 Education21, 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 ApplicationsWashington, D.C.: American Psychological Association, 1994.Geary, D. "Reflections of Evolution and Culture in Children’s Cognition: Implications for Mathematical Development and Instruction."

American Psychologist50, 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.