Teaching Length Measurement: Research Challenges

School Science and Mathematics

Volumn 99, Issue 1, 1999, Pages 5-11

  Clements, Douglas H ^a  

^a UNIVERSITY AT BUFFALO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1042277147     PISSN: 00366803     EISSN: 19498594     Source Type: Journal    
DOI: 10.1111/j.1949-8594.1999.tb17440.x     Document Type: Article

References (22)

1. Boulton-Lewis, G. M. (1987). Recent cognitive theories applied to sequential length measuring knowledge in young children. British Journal of Educational Psychology, 57, 330–342.
2. Boulton-Lewis, G. M., Wilss, L. A., & Mutch, S. L. (1996). An analysis of young children's strategies and use of devices of length measurement. Journal of Mathematical Behavior, 15, 329–347.
3. Campbell, P.F. (1987). Measuring distance: Children's use of number and unit. Final report submitted to the National Institute of Mental Health Under the ADAMHA Small Grant Award Program. Grant No. MSMA 1R03MH423435–01. University of Maryland, College Park.
4. Cannon, P. L. (1992). Middle grade students' representations of linear units. In W. Geeslin & K, Graham (Eds.), Proceedings of the Sixteenth PME Conference (Vol. I) (pp. 105–112). Durham, NH: Program Committee of the 16th PME Conference.
5. Carpenter, T. P., & Lewis, R. (1976). The development of the concept of a standard unit of measure in young children. Journal for Research in Mathematics Education, 7, 53–58.
6. Clements, D. H., & Battista, M. T. (1986). Geometry and geometric measurement. Arithmetic Teacher, 33(6), 29–32.
7. Clements, D.H., & Battista, M.T. (1992). Geometry and spatial reasoning. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 420–464). New York: Macmillan.
8. Clements, D.H., Battista, M.T., Akers, J., Woolley, V., Meredith, J. S., & McMillen, S. (1995). Turtle paths. Cambridge, MA: Dale Seymour Publications.
9. Clements, D. H., Battista, M. T., Sarama, J., Swaminathan, S., & McMillen, S. (1997). Students' development of length measurement concepts in a Logo-based unit on geometric paths. Journal for Research in Mathematics Education, 28(1), 70–95.
10. Clements, D. H., & Meredith, J. S. (1994). Turtle math [Computer program]. Montreal, Quebec: Logo Computer Systems, Inc. (LCSI).
11. Clements, D. H., Sarama, J., & Battista, M. T. (in press). Length, perimeter, area, and volume. In L. S. Grinstein & S. I. Lipsey (Eds.), Mathematics education: An Encyclopedia. New York: Garland.
12. Gravemeijer, K. P. E. (1994). Developing realistic mathematics instruction. Utrecht, The Netherlands: Freudenthal Institute.
13. Héraud, B. (1989). A conceptual analysis of the notion of length and its measure. In G. Vergnaud, J. Rogalski & M. Artique (Eds.), Proceedings of the Thirteenth Conference of the International Group for the Psychology of Mathematics Education (pp. 83–90). Paris: City University.
14. Hiebert, J. (1981). Cognitive development and learning linear measurement. Journal for Research in Mathematics Education, 12, 197–211.
15. Hiebert, J. (1984). Why do some children have trouble learning measurement concepts Arithmetic Teacher, 31(7), 19–24.
16. Lehrer, R., Jenkins, M., & Osana, H. (in press). Longitudinal study of children's reasoning about space and geometry. In R. Lehrer & D. Chazan (Eds.), Designing learning environments for developing understanding of geometry and space. Hillsdale, NJ: Lawrence Erlbaum Associates.
17. National Center for Education Statistics. (1996). Pursuing excellence, NCES 97–198 (initial findings from the Third International Mathematics and Science Study) [Online] Producer. Washington DC: U.S. Government Printing Office. Available: http://www.ed.gov/NCES/timss (January 19, 1997).
18. Nunes, T., Light, P., & Mason, J. H. (1993). Tools for thought: The measurement of length and area. Learning and Instruction, 3, 39–54.
19. Petitto, A. L. (1990). Development of numberline and measurement concepts. Cognition and Instruction, 7, 55–78.
20. Piaget, J., & Inhelder, B. (1967). The child's conception of space. New York: W. W. Norton.
21. Piaget, J., Inhelder, B., & Szeminska, A. (1960). The child's conception of geometry. London: Routledge and Kegan Paul.
22. Steffe, L. P. (1991). Operations that generate quantity. Learning and Individual Differences, 3, 61–82.