Developmental Analysis of Understanding Language About Quantities and of Solving Problems

Anderson, J. R. (1976).Language, memory, and thought. Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.

Bilsky L. H., 1986, Cognition and Instruction, 3, 109, 10.1207/s1532690xci0302_2

Briars D. J., 1984, Cognition and Instruction, 1, 245, 10.1207/s1532690xci0103_1

Carpenter T. P., 1981, Journal for Research in Mathematics Education, 12, 27, 10.2307/748656

10.1007/BF00704702

Carpenter, T. P. & Moser, J. M. (1982). The development of addition and subtraction problem-solving skills.In T. P. Carpenter, J. M. Moser, &T. A. Romberg (Eds.), Addition and subtraction: A cognitive perspective (pp. 9-24). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.

Carpenter, T. P. & Moser, J. M. (1983). The acquisition of addition and subtraction concepts.In R. Lesh & M. Landau (Eds.), Acquisition of mathematics concepts andprocesses (pp. 7-44). New York: Academic.

Carpenter T. P., 1984, Journal for Research in Mathematics Education, 15, 179, 10.2307/748348

Case, R. (1985). Intellectual development: Birth to adulthood.New York: Academic.

Dean A. L., 1986, Cognition and Instruction, 3, 211, 10.1207/s1532690xci0303_4

De Corte E., 1987, Journal for Research in Mathematics Education, 18, 363, 10.2307/749085

10.1037//0022-0663.77.4.460

Dellarosa, D. (1985). Solution: A computer simulation of children's arithmetic wordproblem solving (Tech. Rep. No. 148). Boulder: University of Colorado, Institute of Cognitive Science.

Dellarosa, D., Weimer, R. & Kintsch, W. (1985). Children's recall of arithmetic word problems (Tech. Rep. No. 14).Boulder: University of Colorado, Institute of Cognitive Science.

Edwards, A. (1957). Techniques of attitude scale construction.Englewood Cliffs, NJ: Prentice-Hall.

Fletcher C. K., 1985, Behavior Research Methods, Instruments, and Computers, 17, 565, 10.3758/BF03207654

Guttman, L. L. (1950). The basis for scalogram analysis.In S. A. Stouffer (Ed.), Measurement and prediction (pp. 60-90). Princeton, NJ: Princeton University Press.

Holland, J. H., Holyoak, K. J., Nisbett, R. E. & Thagard, P. R. (1986).Induction: Processes of inference, learning, and discovery. Cambridge, MA: MIT Press.

Hudson T., 1983, Child Development, 54, 84, 10.2307/1129864

.Johnson-Laird, P. N. (1983). Mental models: Towards a cognitive science of language, inference, and consciousness.Cambridge, MA: Harvard University Press.

Kintsch W., 1986, Cognition and Instruction, 3, 87, 10.1207/s1532690xci0302_1

10.1037//0033-295X.92.1.109

IKlahr, D. & Wallace, J. G. (1976). Cognitive development: An information-processing view.Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.

lMcIver, J. P. & Carmines, E. G. (1981). Unidimeniional scaling.Beverly Hills, CA: Sage.

10.1086/266460

Morales R. V., 1985, Cognition and Instruction, 2, 1, 10.1207/s1532690xci0201_2

Moyer J. C., 1984, Journal for Research in Mathematics Education, 15, 342, 10.2307/748424

lqesher, P. (1982). Levels of description in the analysis of addition and subtraction word problems.In T. P. Carpenter, J. M. Moser, & T. A. Romberg (Eds.), Addition and subtraction: A cognitive perspective (pp. 25-38). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.

10.1007/BF00366618

Quintero A. H., 1983, Journal for Research in Mathematics Education, 14, 102, 10.2307/748578

Rathmell, E. C. (1986). Helping children learn to solve story problems.In A. Zollman, W. Speer, & J. Meyer (Eds.), The Fifh Mathematics Methods Conference papers (pp. 101-109). Bowling Green, OH: Bowling Green State University.

Riley, M. S., Greeno, J. G. & Heller, J. I. (1983). Development of children's problem-solving ability in arithmetic. In H. P .Ginsburg (Ed.), The development of mathematical thinking (pp. 153-196). New York: Academic.

Siegler, R. S. (1981). Developmental sequences within and between concepts.Monographs of the Society for Research in Child Development, 46(2, Serial No. 189).

Stigler J. W., 1986, Cognition and Instruction, 3, 153, 10.1207/s1532690xci0303_1

Tamburino, J. L. (1982). The effects of knowledge-based instruction on the abilities of primary grade children in arithmetic wordproblem solving. Doctoral dissertation, University of Pittsburgh, Pittsburgh.

van Dijk, T. A. & Kintsch, W. (1983). Strategies of discourse comprehension.New York: Academic.

Vergnaud, G. (1982). A classification of cognitive tasks and operations of thought involved in addition and subtraction problems.In T. P. Carpenter, J. M. Moser, & T. A. Romberg (Eds.), Addition and subtraction: A cognitive perspective (pp. 39-59). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.

Wolters, M. A. D. (1983). The part-whole schema and arithmetical problems. Educational studies in Mathematics, 14, 127-138.