Psychological Development and Education ›› 2013, Vol. 29 ›› Issue (3): 292-298.

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The Effects of Text Presentation and Structure On Primary School Students’Representation of Math Word Problems

XING Qiang, SHAN Yong-ming   

  1. Department of Psychology, Guangzhou University, Guangzhou 510006, China
  • Online:2013-05-15 Published:2013-05-15

Abstract: 450 primary school students as subjects, discussed the effects of text presentation and structure on primary school students' performance on math word problems representation. used 2 (Difficulty) ×2 (Familiarity) ×5 (Types of rewordings) x 3 (Grade) four-factor mixed design. Results showed that:different text presentation and structure affect primary school students' performance in math word problem-solving independent of the student's Grade; Both Conceptual rewordings problem and situational rewordings problem promote primary school students' performance on math word problems representation; In easy problems, additional information affect performance on math word problems representation significantly; In difficult problems, the difficulty of the math relations affect on math word problems representation significantly; When primary school students solve standard rewordings problems whose's text background is compact , familiarity has a greater impact on student's problem understanding; Whethere the added text affect the students' performance on math word problems representation or not , it depends on the length of the added text whether help to understand the syntactic relations and semantic scene of problem.

Key words: Text presentation and structure, Familiarity, Math word problems, Situation model

CLC Number: 

  • G441

Davis-Dorsey, J., Ross, S. M., & Morrison, G. R. (1991). The role of rewording and context personalization in the solving of mathematical word-problems. Journal of Educational Psychology, 83(1), 61-68.

Embretson, S. E., & Wetzel, C. D. (1987). Component latent trait models for paragraph comprehension tests. Applied Psychological Measurement, 11(2), 175-193.

Hudson, T. (1983).Correspondences and numerical differences between disjoint sets. Child Development, 54(1), 84-90.

Mattarella-Micke, A., & Bellock, S. L.(2010). Situating math word problems: The story matters. Psychonomic Bulletin & Review, 17 (1), 106-111.

Mayer, R. E. (1985). Mathematical ability. In R. J. Sternberg. (Ed.), Human abilities: Information processing approach. San Francisco, CA: Freeman, 127-150.

Orrantia, J., Tarín, J., & Vicente, S. (2011).The use of situational information in word problem solving. Infancia y Aprendizaje, 34(1), 81-94.

Paas, F., Renkl, A., & Sweller, J.(2003). Cognitive load theory and instructional design: Recent developments. Educational Psychologist, 38(1), 1-4.

Radvansky, G. A., & Zacks, R. T.(1997). The retrieval of situation-specific information. In: Conway M. A. ed. Cognitive models of memory. Cambridge, MA: MIT Press, 173-213.

Reusser, K. (1985). From situation to equation on formulation, understanding and solving situation problems. Boulder, Colorado: Institute of Cognitive Science, Technical Report, 143.

Reusser, K.(1989). Textual and situational factors in solving mathematical word problems. Association for Informa tion and Image Management.. Bern, Switzerland: University of Bern, 21.

Reusser, K.(1990). From text to situation to equation: Cognitive simulation of understanding and solving mathematical word problems. In H. Mandl, E. De Corte, N. Bennett & H. F. Friedrich (Eds.), Learning and instruction. Oxford: Pergamon, 477-498.

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. New York: Academic Press, 153-196.

Riley, M. S., & Greeno, J. G. (1988). Developmental analysis of understanding language about quantities of solving problems. Cognition and Instruction, 5(1), 49-101.

Shaftel, J., Belton-Kocher, E., Glasnapp, D., & Poggio, J. (2006). The impact of language characteristics in mathematics test items on the performance of English language learners and student with disabilities.Educational Assessment, 11(2), 105-126.

Smith, G. G., Gerretson, H., Olkun, S., & Joutsenlahti, J. (2010). Effect of causal stories in solving mathematical story problems . H. U. Journal of Education, 39, 284-295.

Sweller, J.(1999). Instructional design intechnical areas. Camberwell, Victoria, Australia: Australian Council for Educational Research, 192.

Van Dijk, T. A., & Kintsch, W. (1983). Strategies of discourse comprehension. New York: Academic Press, 413.

Vicente, S., Orrantia, J., & Verschaffel. L.(2007). In?uence of situational and conceptual rewording on word problem solving. British Journal of Educational Psychology , 77(4), 829-848.

Woodward, J., & Montague, M. (2002). Meeting the challenge of mathematics reform for students with LD. The Journal of Special Education, 36(2), 89-101.

Zwaan, R. A., & Radvansky, G. A.(1998). Situation models in language comprehension and memory. Psychological Bulletin, 123(2), 162-185.

陈英和, 仲宁宁, 赵延芹. (2003). 数学应用题规则性研究的新进展. 心理发展与教育, 19(4), 82-85.

刘儒德, 陈红艳. (2003). 数学真实性问题的研究. 心理发展与教育, 19(1), 49-53.

李向阳. (2008). 句法关系和语义情景在小学生数学应用题表征和解决中的影响. 硕士论文, 内蒙古师范大学.

宋广文, 何文广, 孔伟. (2011). 问题表征、工作记忆对小学生数学问题解决的影响. 心理学报, 43(11), 1283-1292.

严梅福, 周新林, 曾捷英. (1996). 题材个体化和问题重述两策略的效果研究. 心理学报, 28(2), 148-153.

仲宁宁, 陈英和, 王晶. (2009). 小学儿童表征模型的使用及其与表征水平的关系. 中国临床心理学杂志, 17(5), 588-591.
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