Concentration Core: Discipline-based Educational Research
Mathematics Education Reading List
Brownell, W. A. (1947). The place of meaning in the teaching of arithmetic. Elementary School
Journal, 47, 256–265.
D’Ambrosio, B. S. (2003). Teaching mathematics through problem solving: A historical
perspective. In H. L. Schoen (Ed.), Teaching mathematics through problem solving:
Grades 6 – 12, (pp. 39–52). Reston, VA: National Council of Teachers of Mathematics.
Erlwanger, S. H. (1973). Benny’s conception of rules and answers in IPI Mathematics. Journal of
Children’s Mathematical Behavior, 1(2), 7–26.
Everson, M., Zieffler, A., & Garfield, J. (2008). Implementing new reform guidelines in teaching
introductory college statistics courses. Teaching Statistics, 30, 66-70.
Forman, E. A. (2003). A sociocultural approach to mathematics reform: Speaking, inscribing, and
doing mathematics within communities of practice. In J. Kilpatrick, W. G. Martin, & D.
Schifter (Eds.), A research companion to Principles and Standards for School
Mathematics (pp. 333–352). Reston, VA: National Council of Teachers of Mathematics.
Garfield, J. B. (2007). How students learn statistics, revisited. International Statistical Review,
75, 372-396.
Grouws, D. A. (2003). The teacher’s role in teaching mathematics through problem solving. In H.
L. Schoen (Ed.), Teaching mathematics through problem solving: Grades 6 – 12, (pp.
129–142). Reston, VA: National Council of Teachers of Mathematics.
Hiebert, J. (2003). What research says about the NCTM Standards. In J. Kilpatrick, W. G. Martin,
& D. Schifter (Eds.), A research companion to Principles and Standards for School
Mathematics (pp. 5–24). Reston, VA: National Council of Teachers of Mathematics.
Hiebert, J., & Wearne, D. (2003). Developing understanding through problem solving. In H. L.
Schoen (Ed.), Teaching mathematics through problem solving: Grades 6 – 12, (pp. 3–14).
Reston, VA: National Council of Teachers of Mathematics.
Lambdin, D. V., & Walcott, C. (2007). Changes through the years: Connections between
psychological learning theories and the school mathematics curriculum. In W. G. Martin
and M. E. Strutchens (Eds.), The learning of mathematics: Sixty-ninth yearbook (pp. 3–
26). Reston, VA: National Council of Teachers of Mathematics.
Mishra, P., & Koehler, M. J. (2006). Technological pedagogical content knowledge: A framework
for teacher knowledge. Teachers College Record, 108, 1017-1054.
National Council of Teachers of Mathematics. (2000). Principles and standards for school
mathematics. Reston, VA: Author.
National Council of Teachers of Mathematics (2009). Focus in high school mathematics:
Reasoning and sense making. Reston, VA: Author.
National Research Council. (2001). Adding it up: Helping children learn mathematics. J.
Kilpatrick, J. Swafford, and B. Findell (Eds.). Mathematics Learning Study Committee,
Center for Education, Division of Behavioral and Social Sciences and Education.
Washington, DC: National Academy Press. (Chapter 4)
Niess, M. L., Ronau, R. N., Shafer, K. G., Driskell, S. O., Harper, S. R., Johnston, C., et al. (2009).
Mathematics teacher TPACK standards and development model. Contemporary Issues in
Technology and Teacher Education, 9(1), 4 – 24.
Sfard, A. (2003). Balancing the unbalanceable: The NCTM Standards in light of theories of
learning. In J. Kilpatrick, W. G. Martin, & D. Schifter (Eds.), A research companion to
Principles and Standards for School Mathematics (pp. 353–392). Reston, VA: National
Council of Teachers of Mathematics.
Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational
Researcher, 15, 4 – 14.
Siegler, R. S. (2003). Implications of cognitive science research for mathematics education. In J.
Kilpatrick, W. G. Martin, & D. Schifter (Eds.), A research companion to Principles and
Standards for School Mathematics (pp. 289–303). Reston, VA: National Council of
Teachers of Mathematics.
Skemp, R. R. (1976). Relational understanding and instrumental understanding. Mathematics
Teaching, 77, 20–26.
Smith, M. S., Bill, V., & Hughes, E. K. (2008). Thinking through a lesson: Successfully
implementing high-level tasks. Mathematics Teaching in the Middle School, 14, 132–
138.
Stigler, J. W., & Hiebert, J. (1999). The teaching gap: Best ideas from the world’s teachers for
improving education in the classroom. New York: The Free Press.