| Summary: | 碩士 === 臺北市立教育大學 === 數學資訊教育學系數學資訊教育教學碩士學位 === 96 === This study aims to investigate the children before learning about velocity concepts how to use their own knowledge to solve the problem of velocity, and to understand the problem-solving behavior of children. The subjects of this study are the fifth-grade pupils in a primary school in Taipei City and the total sample are 28 children, including 9 pupils interviewed. The study includes quantitative methods and qualitative analysis of the interview data.
Based on the results of the study, the following conclusions are provided:
1. The way how children judge the levels of fast and slow is based on the location and the analyses of rate in one dimension and in two dimensions of the object.
2. The experiences for children to use the noun “velocity” in daily life are much more than use the noun of “rate.”
3. In the test of rate, low-level students will be disturbed by the question using the phrase of “reach at the same time.”
4. The experiences for children to understand the term of “rate” in daily life will be beneficial for them to learn the related units of rate in the future. However, the experiences for students to use the term of “rate” are quite different. And it will affect the achievement of learning the unit of rate in the sixth grade.
5. The way children judge the levels of fast and slow is easily disturbed by the graphs. As for word problems, the correct ratio is higher.
6. The performances for children in varied situations of rate will be confused by the time of hexa-decimal system and decimal system and also will be disturbed by the concepts of decimal and fraction.
7. The performances of students in such a kind of question about the initial conception of rate like the situation of “distance and rate are already known, and claim to the time” are worse than other types of situations.
According to the conclusions of this study, some suggestions are offered as references for the improvement of teaching, the design of the materials and the needs for further studies.
Key Words : initial conception of velocity
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