The Arithmetic Operations as Mathematical Models

New ICMI Study Series

Volumn 10, Issue , 2007, Pages 257-264

  Usiskin, Zalman ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

Adaptive Expertise; Arithmetic Operation; Lower Secondary Level; Mathematics Classroom; Word Problem

Indexed keywords

EID: 79959755397     PISSN: 13876872     EISSN: 22151745     Source Type: Book Series    
DOI: 10.1007/978-0-387-29822-1_27     Document Type: Chapter

References (13)

1. Blum, W. (1991). Applications and modelling in mathematics teaching: A review of arguments and instructional aspects. In M. Niss, W. Blum, & I. Huntley (Eds.), Teaching of mathematical modelling and applications (pp. 10-29). Chichester: Ellis Horwood.
2. Davis, P.J., & Hersh, R. (1981). The mathematical experience. Boston: Birkhauser.
3. De Bock, D., Van Dooren, W., & Janssens, D. (2005). Studying and remedying students' modelling competencies: Routine versus adaptive expertise. This volume. Chapter 3.3.3.
4. Dossey, J.A., McCrone, S., Giordano, F.R., & Weir, M.D. (2002). Mathematics methods and modelling for today's mathematics classroom. Pacific Grove, CA: Brooks/Cole.
5. Greer, B. (1992). Multiplication and division as models of situations. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 276-295). New York: Macmillan.
6. Harel, G., & Confrey, J. (Eds.). (1994). The development of multiplicative reasoning in the learning of mathematics. Albany, NY: State University of New York Press.
7. Meerschaert, M. M. (1993). Mathematical modeling. New York: Academic Press.
8. Nesher, P. (1980). The stereotyped nature of school word problems. For the Learning of Mathematics 7(1), 41-48.
9. Sutherland, E. (1947). One-step problem patterns and their relation to problem solving in arithmetic. Contributions to Education, No 925. New York: Teachers College, Columbia University.
10. University of Chicago School Mathematics Project (2002): Transition mathematics. Glen-view, IL: Prentice Hall.
11. Usiskin, Z., & Bell, M. (1983). Applying arithmetic: A handbook of applications of arithmetic. Volume II: Operations. Arithmetic and Its Applications Project, ERIC document ED 264 088, Chicago, IL.
12. Verschaffel, L. (2002). Taking the modelling perspective seriously at the elementary school level: Promises and pitfalls [Plenary talk]. In A.D. Cockbum, & E. Nardi (Eds.), Proceedings of the 26th Annual Conference of the International Group for the Psychology of Mathematics Educatio. Norwich, England: University of East Anglia.
13. Verschaffel, L., Greer, B., & De Corte, E. (2000). Making sense of word problems. Lisse, The Netherlands: Swets and Zeitlinger.