Psychological Development and Education ›› 2005, Vol. 21 ›› Issue (2): 17-23.

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The Developmental Characteristics of 8～11 Year-old Strategy in Solving Addition Comparison Problems

CHEN Shang-bao1,2, WO Jian-zhong2, LUO Liang2   

  1. 1. Institute of Developmental Psychology, Beijing Normal University, Beijing 100875;
    2. Shenzhen Yucai Education Group, Shenzhen 518067
  • Online:2005-04-15 Published:2005-04-15

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Abstract: This study used addition comparison problem to test 142 8~11 year-old children.We used oral report to examine the developmental characterist ics of children in solving addition comparison problems.The results are as follows:(1)children have various strategies in solving addition comparison problems;(2)use numbers of strategy has not significant dif erence in grade,but has significant difference in different achievement levels;(3)in general, use rate in correct strategies increase with age,but use rate in wrong strategies is in reverse.

Key words: addition comparison problem, strategy, developmental characteristics

CLC Number: 

  • B844.1
[1] Ashcraft M H, Fierman B A. Mental addition in third, fourth,and sixth grades. Journal of Experimental Child Psychology, 1982,33: 216-234.
[2] Siegler R S, Shrager L. Strategy choices in addition and subtraction: How do children know what to do? In C. Sophian (Ed.),The origins of cognitive skills. Hillsdale, NJ: Erlbaum, 1984, 229-293.
[3] Lemaire P, Siegler R S. Four aspects of strategic change:Contributions to children's learning of multiplication. Journal of Experimental Psychology: General, 1995, 124: 83-97.
[4] Siegler R S. Emerging minds: the process of change in children's thinking. New York: Oxford University Press, 1996.
[5] Shrager J, Siegler R S. SCADS: a model of children's strategy choices and strategy discoveries. Psychological Science, 1998, 9:405-410.
[6] Groen G J, Parkman J M. A Chronometric Analysis Of Simple Addition. Psychological Review, 1972, 79:329-343.
[7] Ashcraft M H, Battaglia J. Cognitive Arithmetic: Evidence For Retrieval And Decision Processes In Mental Addition. Journal Of Experimental Psychology: Human Learning And Memory, 1978, 4(5):527-538.
[8] Siegler R S, Taraban R. Conditions of applicability of a strategy choice model. Cognitive development, 1986,1: 31-51.
[9] Siegler R S. The perils of averaging data over strategies: an example from children' additon. Jounral of experiment psychology:general, 1987,116: 250-264.
[10] Siegler R S. Individual Differences in Strategy Choices: GoodStudents, Not-So-Good Students, and Perfectionists. Child Development,1988, 59: 833-851.
[11] Geary D C, Dubree, M B. External Validation Of The Strategy Choice Model or Addition. Journal Of Experimental Child Psychology,1989, 47: 175-192.
[12] Siegler R S. Emerging minds: the process of change in children's thinking. New York: Oxford University Press, 1996.
[13] Geary D C, Siegler R S. Mathematical development and sciecne, Science, 1994, 263:903.
[14] Alibali M W. How Children Change Their Minds: Strategy Change Can Be Gradual Or Abrupt? Developmental Psychology, 1999, 35(1): 127-145.
[15] Perry M, Church R B. Goldin-Meadow S. Transitional Knowledge in the acquisition of concepts. Cognitive Development, 1988,3, 359-400.
[16] Alibali M W, Goldin-Meadow S. Gesture-speech mismatch and mechanism of learning: What the hands reveal about a child's state of mind. Cognitive Psychology, 1993, 25, 468-523.
[17] Rittle-Johnson B. Alibali M W. Coceptual and Procedural Knowledge of Mathematics: Does One Lead to the Other? Journal of Educational Psychology, 1999, 91(1): 175-189.
[18] 王沛.小学2-4年级学生乘法等值问题认知策略实验研究.西北师范大学学报(自然科学版),1996,32(2):94-97.
[19] 辛自强.儿童在数学问题解决中图式与策略的获得.博士论文.北京:北京师范大学发展心理研究所,2002:72-74.
[20] Geary D C, Christine Bow-Thomas C, Fan Liu, Siegler R S.Development of arthimaetical competence in chinses and american children: influence of age, language, and schooling. Child development,1996, 67(): 2022-2044.
[21] Baroody A J, Ginsburg H. The effects of instruction on children's understanding of the "equals" sign. Elementary School Journal, 1983,84,199-212.
[22] Behr M, Erlwanger S. &Nichols E. How children view the equal sign. Mathematics Teaching, 1980,92,13-15.
[23] 林崇德.发展心理学.第1版.北京:人民教育出版社(1995).
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