小学2～4年级儿童数学应用题表征策略差异的研究

心理发展与教育 ›› 2004, Vol. 20 ›› Issue (4): 19-24.

小学2～4年级儿童数学应用题表征策略差异的研究

陈英和¹, 仲宁宁¹, 田国胜², 王治国¹

1. 北京师范大学发展心理研究所, 北京, 100875;
2. 廊坊市教育局教研室, 河北, 065000

出版日期:2004-10-15 发布日期:2004-10-15
作者简介:陈英和(1959- ),女,吉林省长春市人,北京师范大学发展心理研究所教授,博士.yinghechen@263.net
基金资助:
国家自然科学基金(批准号:30270475);教育部人文社会科学重点学科基地项目(项目号:02JAZJDXLX002);北京市教育科学"十五"规划项目.

A Study of Difference of Elementary second to fourth Graders’ Representation Strategy in Arithmetic Word Problem

CHEN Ying-he¹, ZHONG Ning-ning¹, TIAN Guo-sheng², WANG Zhi-guo¹

1. Institute of Developmental Psychology, Beijing Normal University, Beijing 100875, China;
2. Staff Room of Langfang's Educational Department, Langfang 065000, China

Online:2004-10-15 Published:2004-10-15

摘要/Abstract

摘要： 本研究运用实验法和临床访谈法对某普通小学的123名2～4年级学生进行了数学应用题测验,以考察数学学优生和学差生在解决比较应用题时表征策略的差异。结果表明:(1)从2～4年级儿童解答一致和不一致应用题上看,学优生较多地使用问题模型策略对问题进行表征,学差生较多地使用直接转换策略对问题进行表征;(2)除学差女生的解题正确率低于学差男生的正确率,学差女生自我报告中直接转换策略的使用多于学差男生外,在其它方面,性别差异并不显著;(3)随着年级的升高,学优生在使用问题模型策略上越来越成熟,学差生并没有学会使用更加有效的问题模型表征策略,仍然停留在直接转换策略上,但他们在关于策略使用的认识上有所提高。

关键词: 小学儿童, 数学应用题, 表征策略

Abstract: A word problem test was administered to 123 students from the second to fourth grade by experiment method and clinical interview method,in order to explore the difference of representation strategy between superior students and inferior students when they solved comparable word problem.The results showed that:(1)According to students'performance on consistent word problems and inconsistent word problems,most of superior students used problem-model strategy to represent word problem and most of inferior students used direct translation strategy to represent word problem;(2)With entering the higher grade,superior students used representation strategy more stably.As far as inferior students were concerned,more effective problem-model strategy didn't take the place of direct translation strategy,though the cognition about strategy utilization was increasing;(3)The difference of gender was insignificant,except that the accuracy of inferior female students was less than that of inferior male ones and that inferior female students reported to use direct translation strategy more than inferior male ones.

Key words: elementary student, arithmetic word problem, representation strategy

中图分类号:

B844.1

陈英和, 仲宁宁, 田国胜, 王治国. 小学2～4年级儿童数学应用题表征策略差异的研究[J]. 心理发展与教育, 2004, 20(4): 19-24.

CHEN Ying-he, ZHONG Ning-ning, TIAN Guo-sheng, WANG Zhi-guo. A Study of Difference of Elementary second to fourth Graders’ Representation Strategy in Arithmetic Word Problem[J]. Psychological Development and Education, 2004, 20(4): 19-24.

参考文献

[1] Siegler R S. Children's Thinking. Upper Saddle River: Prentice Hall, 1998:150-167.
[2] Sternberg R J, Talia B Z. The Nature of Mathematical Thinking. Lawrence Erlbaum Associates, 1996:27-79.
[3] Hegarty M, Mayer R E, Monk C A. Comprehension of Arithmetic Word Problem: A Comparison of Successful and Unsuccessful Problem Solvers. Journal of Educational Psychology, 1995, 87(1): 18-32.
[4] Hegarty M, Mayer R E, Green C E. Comprehension of Arithmetic Word Problems Evidence From Students'Eye Fixations. Journal of Educational Psychology, 1992, 84(1): 76-84.
[5] 陈英和,仲宁宁,耿柳娜.关于数学应用题心理表征策略的新理论.心理科学,2004,27(1):246-247.
[6] Maccoby E E, Jacklin C N. The psychology of sex differences.Stanford, CA: Stanford Univ. Press, 1974.
[7] Hiebert J. Conceptual and Procedural Knowledge: The Case of Mathematics. Hillsdale, NJ: Erlbaum, 1986.
[8] Hiebert J, Wearne D. Instruction, Understanding, and Skill in Multidigit Addition and Subtraction. Cognition and Instruction, 1996,14:251-283.
[9] Geary D C. Reflections of Evolution and Culture in Children's Cognition. American Psychologist, 1995, 50:24-37.
[10] Schoenfeld A H. Cognitive Science and Mathematics Education. Hillsdale, NJ: Erlbaum., 1987.
[11] Gilat E, Irit P. Cognition and Metacognition: Evidence of Higher Thinking in Problem-solving of Adolescents with Mental Retardation. Education and Training in Mental Retardation and Developmental Disabilities, 2001, 36(1): 83-93.

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