A Study on the Length Concept for Elementary Second Graders

碩士 === 國立臺北教育大學 === 數學暨資訊教育學系(含數學教育碩士班) === 102 === The purpose of the study is to investigate the performance of the length concepts for second graders. A total of 155 second grade students were from an elementary school in the north of Taoyuan County. Two variables—different length concepts and di...

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Bibliographic Details
Main Authors: Chien-Hua Huang, 黃建華
Other Authors: Kaung-Hsung Chen, Ph. D.
Format: Others
Language:zh-TW
Published: 2014
Online Access:http://ndltd.ncl.edu.tw/handle/e4k8t5
Description
Summary:碩士 === 國立臺北教育大學 === 數學暨資訊教育學系(含數學教育碩士班) === 102 === The purpose of the study is to investigate the performance of the length concepts for second graders. A total of 155 second grade students were from an elementary school in the north of Taoyuan County. Two variables—different length concepts and different representations were used to design the questionnaire. Purposive sampling was adopted to screen subjects of interview from six classes. Four students were selected from each class, one from the low-scoring group, two from middle-scoring group, and the other from the high-scoring group. Semi-structured interviews were conducted to understand the problem-solving strategies and misconceptions of these school children while answering the questions. The results of the study were analyzed using SPSS. The main results are shown as follows: 1. No significant interaction in the performance of length for different length concepts and genders. 2. No significant interaction in the performance of length for different representations and genders. 3. No significant interactions in the performance of length for different length concepts and different representations. 4. Significant differences are found in the performance of length for different length concepts. 5. There are significant differences in the performance of length for different representations. 6. Among the performances in differernt length concepts, the performace in measurement is greater than that of conservation, and the performance of conservation is greater than that of estimation. 7. Between the performances in differernt representations, the performance in semi-concrete operation is greater than that of the the concrete operation. 8. Girls were supeirior to boys in the performances of differents length concepts and different representations. 9. Second graders showed a different problem-solving strategies, several error types and misconceptions. After further interviews, we discovered that findings of the study are quite effective in clarifying the length misconceptions of the students. Finally, some suggestions are recommended for length teaching, material designing, and future studies. Keywords: length, measurement, conservation, estimation, representation, misconception.