Mathematics Education Trends and Research

Volume 2013 (2013), Article ID metr-00007, 11 Pages

doi: 10.5899/2013/metr-00007


Research Article


The Examining Mathematical Word Problems Solving Ability under Efficient Representation Aspect


Maryam Sajadi1 *, Parvaneh Amiripour2, Mohsen Rostamy-Malkhalifeh3


1Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran

2Department of Mathematics, Shahr-e Rey Branch, Islamic Azad University, Tehran, Iran

3Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran


* Corresponding author. Email address: Parvaneh.Amiripour@yahoo.com


Received: 31 December 2012; Accepted: 31 January 2013


Copyright © 2013 Maryam Sajadi, Parvaneh Amiripour and Mohsen Rostamy-Malkhalifeh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Word problem solving is complex process for students. Efficient instruction of word problem solving needed to efficient strategies. One of these strategies is using representation. Some students apply key words or numbers only but when they face complex word problems then they cannot apply the keywords. Therefore teachers have to teach efficient strategy such as representation. In this research is tried whether using efficient representation can lead to efficient solution. Through cluster sampling method, forty one students are selected at girly elementary school. Through math exam, their solutions are studied. Through Spearman test, results indicate that there is significant relation between efficient representation and efficient word problem solving ability. At second grade, students have used of representation, have gotten to high means and inverse, students have not used of representation, have not gotten to high means. Therefore there is significant and direct relation between efficient representation and efficient word problem solving ability.


Keywords: Word problems; mathematics; representation; ability; efficiency.

References

  1. A. Ahmad, R. A. Tarmizi, M. Mawawi, Visual Representations in Mathematical Word Problem Solving Among Form Four Students in Malacca, Procedia Social and Behavioral Sciences, 8 (2010) 356-361.


  2. J. S. Bruner, The course of cognitive growth, American psychologist, 19 (1964) 1-15.


  3. N. Babakhani, The effect of teaching the cognitive and meta-cognitive strategies (self-instruction procedure) on verbal math problem-solving performance of primary school students with verbal problem- solving difficulties, Procedia Social and Behavioral Sciences, 15 (2011) 563-570.


  4. R. E. Clark, Reconsidering Research on Learning from Media, Review of Educational Research, 53 (1983) 445-449.


  5. S. F. Chipman, J. W. Segal, R. Glaser, (Eds.), Thinking and learning skills, Research and open questions. Hillsdale, NJ: Erlbaum, 2 (1985).


  6. A. Duru, Pre-service primary school teacher's preference of the problem solving strategies for word problems, Procedia Social and Behavioral Sciences, 15 (2011) 3463-3468.


  7. R. M. Gagne, L. J. Briggs, Principles of Instructional Design (2nd Ed.), New York: Holt, Rinehart and Winston. Trans. Mochidome, Hideyo (in press) Kyojusekkeino-genri, (1979) 300-305.


  8. A. Gagatsis, I. Iliada Elia, The effects of different modes of representation on mathematical problem solving, Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education, 2 (2004) 447-454.


  9. M. Hegarty, R. E. Mayer, Ch. A. Monk, Comprehension of Arithmetic Word Problems: A Comparison of Successful and Unsuccessful Problem Solvers, Journal of Educational Psychology, 87 (1) (1995) 18-32.


  10. M. Hegarty, M. Kozhevnikov, Types of Visual-Spatial Representations and Mathematical Problem Solving, Journal of Educational Technology Psychology, 91(4) (1999) 684-689.


  11. D. H. Jonassen, Designing research-based instruction for story problems, Educational Psychology Review, 15 (2003) 267-296.


  12. A. Jitendra, C. Griffin, Word Problem-Solving Instruction in Inclusive Third-Grade Mathematics Classrooms, Journal of Educational Research, (2008) 187-201.


  13. J. J. Kaput, Representation and problem solving: methodological issues related to modeling, In E.A. Silver (Ed.), Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives. Hillsdale, NJ: Erlbaum, (1985) 381-398.


  14. A. S. Klein, M. Beishuisen, A. Treffers, The empty number line in Dutch second grade: Realistic versus gradual program design, Journal for Research in Mathematics Education, 29 (4) (1998) 443-464.


  15. D. Lucangeli, P. E. Tressoldi, M. Cendron, Cognitive and metacognitive abilities involved in the Solution of mathematical word problems: Validation of a comprehensive model, Contemporary Educational Psychology, 23 (1998) 257-275.


  16. S. Lerman, Cultural, Discursive Psychology: A Sociocultural Approach to the Studying, Teaching and Learning of Mathematics, (2001) 200-207.


  17. C. Lean, M. A. Clements, Spatial ability, visual imagery and mathematical performance, Educational Studies in Mathematics, 12 (1981) 267-299.


  18. R. E. Mayer, Mathematical problem solving, InJ. M. Royer (ed.), Mathematical Cognition. Greenwich, CT: Info age Publishing, (2003).


  19. M. Montague, Math problem solving for middle school students with disabilities, Research report of the Access Centre: Improving outcomes for All Students K-8, (2006).


  20. M. A. Newman, An Analysis of Sixth-Grade Pupils' Errors on Written Mathematical Tasks. In Clements, M. A. & Ellerton, N. (1996). The Newman Procedure for Analysing Errors on Written Mathematical Tasks, (1977) 110-120.


  21. V. A. Reston, National Council of Teachers of Mathematics (NCTM), Principles and standards for school mathematics, (2000) 87-95.


  22. M. Peker, The effects of an instruction using problem solving strategies in mathematics on the teaching anxiety level of the pre-service primary school teachers, The New Educational Review, 19 (2009) 95-114.


  23. N. C. Presmeg, Visualization in high school mathematics, For Learning of Mathematics, 63 (1986) 42-46.


  24. I. H. Raduan, Error analysis and the corresponding cognitive activities committed by year five primary students in solving mathematical word problems, Procedia Social and Behavioral Sciences, 2 (2010) 3836-3838.


  25. A. H. Schoenfeld, What's all the fuss about metacognition? In Schoenfeld, A.H. (ed.), Cognitive Science and Mathematics Education, Lawrence Erlbaum Associates.ch 8. (1987) 189-215.


  26. A. K. Saif, Modern educational psychology, Tehran: Doran, 6th edition, (2009) 100-105.


  27. M. Seifi, M. Haghverdi, F. Azizmohamadi, Recognition of Studentsí Difficulties in Solving Mathematical Word Problems from the Viewpoint of Teachers, Journal of Basic and Applied Scientific Research, 2 (3) (2012) 2923-2928.


  28. P. Singh, A. A. Rahman, T. S. Teoh Sian Hoon, The Newman Procedure for Analyzing Primary Four Pupils Errors on Written Mathematical Tasks: A Malaysian Perspective, Procedia Social and Behavioral Sciences, 8 (2010) 264-271.


  29. M. Wertheimer, A Gestalt perspective on computer simulations of cognitive processes, Computers in Human Behavior, 1 (1985) 19-33.