Case, R., and Griffin, S. (1990). Child cognitive development: The role of central conceptual structures in the development of scientific and social thought. In E.A. Hauert (Ed.), Developmental psychology: Cognitive, perceptuo-motor, and neurological perspectives (pp. 193-230). North-Holland, The Netherlands: Elsevier.

Cobb, P., Yackel, E., and Wood, T. (1988). A constructivist approach to second grade mathematics. In E. von Glasserfeld (Ed.), Constructivism in mathematics education. Dordecht, The Netherlands: D. Reidel.


Dehaene, S., and Cohen, L. (1995). Towards an anatomical and functional model of number processing. Mathematical Cognition, 1, 83-120.

Damerow, P., Englund, R.K., and Nissen, H.J. (1995). The first representations of number and the development of the number concept. In R. Damerow (Ed.), Abstraction and representation: Essays on the cultural evolution of thinking (pp. 275-297). Book Series: Boston studies in the philosophy of science, vol. 175. Dordrecht, The Netherlands: Kluwer Academic.


Fuson, K. (1997). Snapshots across two years in the life of an urban Latino classroom. In J. Hiebert (Ed.), Making sense: Teaching and learning mathematics with understanding. Portsmouth, NH: Heinemann.


Gelman, R. (1978). Children’s counting: What does and does not develop. In R.S. Siegler (Ed.), Children’s thinking: What develops (pp. 213-242). Mahwah, NJ: Lawrence Erlbaum Associates.

Griffin, S. (1997). Number worlds: Grade one level. Durham, NH: Number Worlds Alliance.

Griffin, S. (1998). Number worlds: Grade two level. Durham, NH: Number Worlds Alliance.

Griffin, S. (2000). Number worlds: Preschool level. Durham, NH: Number Worlds Alliance.

Griffin, S. (in press). Evaluation of a program to teach number sense to children at risk for school failure. Journal for Research in Mathematics Education.

Griffin, S., and Case, R. (1996a). Evaluating the breadth and depth of training effects when central conceptual structures are taught. Society for Research in Child Development Monographs, 59, 90-113.

Griffin, S., and Case, R. (1996b). Number worlds: Kindergarten level. Durham, NH: Number Worlds Alliance.

Griffin, S., and Case, R. (1997). Re-thinking the primary school math curriculum: An approach based on cognitive science. Issues in Education, 3(1), 1-49.

Griffin, S., Case, R., and Sandieson, R. (1992). Synchrony and asynchrony in the acquisition of children’s everyday mathematical knowledge. In R. Case (Ed.), The mind’s staircase: Exploring the conceptual underpinnings of children’s thought and knowledge (pp. 75-97). Mahwah, NJ: Lawrence Erlbaum Associates.

Griffin, S., Case, R., and Siegler, R. (1994). Rightstart: Providing the central conceptual prerequisites for first formal learning of arithmetic to students at-risk for school failure. In K. McGilly (Ed.), Classroom lessons: Integrating cognitive theory and classroom practice (pp. 24-49). Cambridge, MA: Bradford Books MIT Press.



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