A Study of Solving Proportion Problems from a Third Grader of an Elementary School Student
| Autor: | Yi-ching Weng, 翁宜青 |
|---|---|
| Rok vydání: | 2003 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 91 This study was to explore a third grader’s performance of solving proportional problems and his performance from the author’s help. A case study approach was adopted and semi-structure interview questions were used to examine the case’s understanding. This study included three stages：explorations of simple proportion, multiple proportion, then, providing help for those difficult troubles. The case (Yang) is a third grader of an Elementary school student. He is very interested in math subject and has good performance in academic. He only had experience in dealing with tasks of multiplicative problems and simple fraction problems. Still, he had no chance to learn the matters of division and proportional problems. However, at the first stage, he was able to use the strategies of 「repeated addition」、「decomposing method」「 within strategy」, and 「between strategy」 for the first three of four types of simple proportion problems. But, because he was unable to use 「type of rational number」 to represent the result of one integer divided by another integer, he could not solve the fourth type of simple proportion problems. At the second stage, he could solve the first five of ten types multiple proportion problems by 「within strategy」 or 「between strategy」. At the last stage, gaining some help from the author, he finally could solve the fourth type of simple proportion problems. What is more, he could solve the other three of ten types of multiple proportion problems. To establish the scaffolding for Yang to solve those problems at the last stage, the author encouraged him to use external representations to visualize his ideas, otherwise, provided cues, or concrete materials for his problems solving. If Yang could solve those problems, the author would take back the scaffolding and let him solve those problems independently. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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