The following HTML text is provided to enhance online
readability. Many aspects of typography translate only awkwardly to HTML.
Please use the page image
as the authoritative form to ensure accuracy.
Adding + It Up: Helping Children Learn Mathematics
Steffe, L. (1994). Children’s multiplying schemes. In G.Harel & J.Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 3–39). Albany: State University of New York Press.
Steffe, L.P., Cobb, P., & von Glasersfeld, E. (1988). Construction of arithmetical meanings and procedures. New York: Springer-Verlag.
Stigler, J.W. (1984). “Mental abacus”: The effect of abacus training on Chinese children’s mental calculation. Cognitive Psychology,16, 145–176.
Steinberg, R. (1985). Instruction on derived facts strategies in addition and subtraction. Journal for Research in Mathematics Education,16, 337–355.
Thornton, C.A. (1978). Emphasizing thinking strategies in basic fact instruction. Journal for Research in Mathematics Education,9, 214–227.
Uttal, D.H., Scudder, K.V., & DeLoache, J.S. (1997). Manipulatives as symbols: A new perspective on the use of concrete objects to teach mathematics. Journal of Applied Developmental Psychology,18, 37–54.
VanLehn, K. (1986). Arithmetic procedures are induced from examples. In J.Hiebert (Ed.), Conceptual and procedural knowledge: The case of mathematics (pp. 133–179). Hillsdale, NJ: Erlbaum.
Vergnaud, G. (1983). Multiplicative structures. In R.Lesh & M.Landau (Eds.), Acquisition of mathematics concepts and processes (pp. 127–174). New York: Academic Press.
Verschaffel, L., & De Corte, E. (1993). A decade of research on word-problem solving in Leuven: Theoretical, methodological, and practical outcomes. Educational Psychology Review,5(3), 1–18.