Structures of constant rate word problems: A functional approach analysis

Educational Studies in Mathematics

Volumn 39, Issue 1-3, 1999, Pages 185-203

  Yerushalmy, Michal ^a   Gilead, Shoshana ^a  

^a UNIVERSITY OF HAIFA   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34547695824     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1023/a:1003793926216     Document Type: Article

References (19)

1. Chazan: 1993, 'F(x) = G(x)? An approach to modeling with algebra', For the Learning of Mathematics 13(3), 22-26.
2. Gilead, S.: 1998, 'Classification of algebra word problems in a learning environment based on the concept of function', Unpublished MA Thesis (in Hebrew), Department of Education, University of Haifa.
3. Hall, R., Kibler, D., Wenger, E. and Truxsaw, C.: 1989, 'Exploring the episodic structure of Algebra story problem solving', in Cognition and Instruction 6(3), 223-283.
4. Heid, M.K.: 1995, 'Algebra in a technological world. National Council of Teachers of Mathematics (NCTM)', Curriculum and Evaluation Standards for School Mathematics, Reston, VA.
5. Hershkovitz, S. and Nesher, P.: 1996, 'The role of schemes in designing computerized environments', Educational Studies in Mathematics 30, 339-366.
6. Kieran, C., Boilleau, A. and Garancon, M.: 1996, 'Introducing algebra by means of technology-supported functional approach', in Approches to Algebra: Perspective for Reasearch and Teaching, Kluwer Academic Publishers, Dordrecht, pp. 257-293.
7. Kintsch, W. and Greeno, G.: 1985, 'Understanding and solving word arithmetic problems', Psychological Review 92, 109-129.
8. Nathan, M.J., Kintsch, W. and Young, E.: 1992, 'A theory of algebra word problem comprehension and its implications for the design of learning environments', Cognition And Instruction 9(4), 329-389.
9. Nemirovsky, R.: 1996, 'A functional approach to algebra: Two issues that emerge', in Approches to Algebra: Perspective for Reaserch and Teaching, Kluwer Academic Publishers, Dordrecht, pp. 295-313.
10. Nesher, P.: 1980, 'The internal representation of open sentences in arithmetic', in R. Karplus (ed.), Proceedings of the fourth International Conference for Psychology of Mathematics Education, University of California, Berkeley pp. 271-278.
11. Nesher, P. and Hershkovitz, S.: 1994, 'The role of schemes in two step problems: Analysis and research findings', Educational Studies in Mathematics 26, 1-23.
12. Polya: 1954, How to Solve It?, Princeton University Press, NJ.
13. Reed, S.K., Dempster, A. and Ettinger, M.: 1985, 'Usefulness of analogous solutions for solving algebra word problems', Journal of Experimental Psychology: Learning, Memory and Cognition 11(1), 106-125.
14. Schoenfeld, A.: 1987, 'What's all the fuss about metacognition?', in A. Schoenfeld, (ed.), Cognitive Science and Mathematics Education, Erlbaum, Hillsdale, NJ, pp. 189-215.
15. Shalin, V.L. and Bee, N.V.: 1985, 'Structural differences between two step word problems. Paper presented at the 1987', Meeting of the American Educational Research Association.
16. Yerushalmy, M. and Schwartz, J.E.: 1993, 'Seizing the opportunity to make algebra mathematically and pedagogically interesting', in T.A. Romberg, E. Fennema and T. Carpenter (eds.), Integrating Research on Graphical Representations of Functions, Erlbaum Inc. NJ.
17. Yerushalmy, M. and Gilead, S.: 1997, 'Solving equations in a technological environment: Seeing and manipulating', Mathematics Teacher, National Council for Teachers of Mathematics 90(2), 156-163.
18. Yerushalmy, M.: 1997, 'Mathematizing qualitative verbal descriptions of situations: A language to support modeling', Cognition and Instruction 15(2), 207-264.
19. Yerushalmy, M., Shternberg, B. and Gilead, S.: 1999, 'Visualization as a vehicle for meaningful problem solving in algebra', in Proceedings of the 23 Annual Meeting of the International Group of Psychology of Mathematics Education, Haifa, Israel.