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高一学生对函数奇偶性的认知研究 被引量:7

Cognitive Research of Functional Parity on Some Students of Grades 10 of High School
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摘要 奇偶性是函数的一个重要性质,它不仅有助于培养学生的理解能力和推理论证能力,而且奇偶性的图像特征还是培养和发展学生数形结合思想的重要载体.就高一学生而言,在对函数奇偶性概念理解方面,大多数学生对奇偶性概念表征较为单一;在奇偶性概念应用水平方面,数值角度的认知取向表现得较好,而在符号推理、图像认知以及语言表述方面存在很大的认知缺陷. Parity is important character of function, it can not only help to cultivate students' the ability of understanding and reasoning, but also the image character of parity is a very important carrier in fostering and developing students' ideas of combining number and shape. As far as the students in grade 10 were concerned, the majority of students' conceptual represents of functional parity were very single for concept understanding of fortunctional parity,; on the other hand, for concept applying levels of functional parity, the cognitive trends of numerical value behaved better, but there were greater cognitive deficiencies in symbol reasoning, image cognition and language narrating.
出处 《数学教育学报》 北大核心 2010年第3期50-52,共3页 Journal of Mathematics Education
基金 2006年上海高校选拔培养优秀青年专项基金——数学个性与数学认知的实验研究(600301) 2009年度上海市教育委员会科研创新项目——代数几何在密码学中的应用(09YZ240)
关键词 函数 奇偶性 表征 数值 图像 符号 语言表述 function parity represent numerical-value image symbol language stating
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参考文献3

  • 1Grouws D A. Handbook of Research on Mathematics Teaching and Learning [M]. New York: Macmillan Publish Company, 1992. 被引量:1
  • 2Biggs J B, Collis K F. Evaluating the Quality of Learning----the SOLO Taxonomy [M]. New York: Academic Press, 1982. 被引量:1
  • 3Pirie S, Kieren T. Growth in Mathematical Understanding: How Can We Characterize It and How Can We Represent It? [J]. Educational Studies in Mathematics, 1994, 26(2-3): 165-190. 被引量:1

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