Second graders' understanding of line segment representation in addition and subtraction word problems

• Main Authors: Wu Tsung Pei, 吳宗珮
• Other Authors: 游自達
• Format: Others
• Language: zh-TW
• Published: 2010
• Online Access: http://ndltd.ncl.edu.tw/handle/63572992953985231261

碩士 === 國立臺中教育大學 === 課程與教學研究所 === 98 === The purpose of this study was to investigate second-graders’ understanding of line segment representation in solving addition and subtraction word problems. Five hundred and seventy-nine second graders from twenty-two classes within ten elementary schools in Taichung metropolitan area were investigated. An instrument, namely, understanding of line segment representation test, developed by the researcher, was administrated. Researcher then analyzed second graders’ performance and their response patterns. The main findings of this study were as followed： 1. Second graders’ performance on “representation switching part-whole position” was better than other representation, and on “representation changing segment length with number size” was worse than other representation. 2. The correlation between second graders’ performance on “representation switching part-part position” and “representation switching bottom up position” was high. 3. There’s no correlation between second graders’ performance on “representation changing segment length with number size” with other representation. 4. Second graders’ understanding of line segment representation in different types of word problems showed a variation. 5. The correlation between second graders’ understanding of line segment representation and solving problems was low. 6. Second graders’ performance showed different levels of understanding on line segment representation 7. Second graders’ performace on “representation changing segment length with number size” in addition problems was better than that in subtraction problems 8. Second graders’ performance on “representation switching bottom up position” in subtraction problems was better than that in addition problems Finally, the study put forward suggestions for elementary school teachers and future studies based on the main findings of the study.