彭志泉. / 手稿本(c. 2-3複印本). / Thesis (M.A.)--香港中文大學硏究院敎育學部. / Shou gao ben (c. 2-3 fu yin ben). / Includes bibliographical references (p. 109-114). / Peng Zhiquan. / Thesis (M.A.)--Xianggang Zhong wen da xue yan jiu yuan jiao yu xue bu. / 表次 --- p.vi / 摘要 --- p.viii / Chapter 第一章 --- 前言 --- p.1 / 問題背景 --- p.1 / 研究目的 --- p.4 / 研究意義 --- p.5 / Chapter 第二章 --- 文獻評述 --- p.8 / 青少年成長與群性發展 --- p.8 / 影響學生群性結構的因素 --- p.18 / 改進班內社交關係的方法 --- p.30 / Chapter 第三章 --- 方法 --- p.37 / 概述 --- p.37 / 對象 --- p.38 / 工具與測量 --- p.39 / 過程 --- p.45 / 假設 --- p.50 / 分析 --- p.54 / 局限性 --- p.56 / Chapter 第四章 --- 結果 --- p.58 / 工具與測良的可信性　 --- p.58 / 影響學生受納程度的主要因素 --- p.62 / 學生小組群的共同性和小組群成因 --- p.69 / 影響學生群性結構的一些轉變因素 --- p.77 / Chapter 第五章 --- 結論 --- p.96 / 討論 --- p.97 / 含義 --- p.100 / 建議 --- p.105 / 參考文獻 --- p.109 / Chapter 一 --- 附錄、社交關係測驗（第一至第三次） --- p.115 / Chapter 二 --- 簡化計量表 --- p.118 / Chapter 三 --- 社交關係圖解（第一次測驗，德班） --- p.119 / Chapter 四 --- Proctor與Loomis群性指數計算法 --- p.120 / Chapter 五 --- 自傳的學習（學習文章和問題） --- p.121 / Chapter 六 --- 自傳的認識 --- p.125 / Chapter 七 --- 社交　納方案問卷 --- p.127 / Chapter 八 --- 學生家中表現調查 --- p.128 / Chapter 九 --- 學生個人背景資料 --- p.129

In this multiple-case study, I developed cases describing three students‘ (Mary, Ryan and David) solution methods for algebra word problems and investigated the effect of technology on their solution methods by making inferences about their preferences for visual or nonvisual solutions. Furthermore, I examined the students‘ solution methods when presented with virtual physical representations of the situations described in the problems and attempted to explain the effect of those representations on students‘ thinking preferences. In this study, the use of technology referred to the use of the dynamic software program Geogebra. Suwarsono‘s (1982) Mathematical Processing Instrument (MPI) was administered to determine their preferences for visual and nonvisual thinking. During the interviews, students were presented with paper-andpencil-based tasks (PBTs), Geogebra-based tasks (GBTs) and Geogebra-based tasks with virtual physical representations (GBT-VPRs). Each category included 10 algebra word problems, with similar problems across categories. (i.e., PBT 9, GBT 9 and GBT-VPR 9 were similar). By investigating students‘ methods of solution and their use of representations in solving those tasks, I compared and contrasted their preferences for visual and nonvisual methods when solving problems with and without technology. The comparison between their solutions of PBTs and GBTs revealed how dynamic software influenced their method of solution. Regardless of students‘ preferences for visual and nonvisual solutions, with the use of dynamic software students employed more visual methods when presented with GBTs. When visual methods were as accessible and easy to use as nonvisual methods, students preferred to use them, thus demonstrating that they possessed a more complete knowledge of problem-solving with dynamic software than their work on the PBTs. iii Nowadays, we can construct virtual physical representations of the problems in technology environments that will help students explore the relationships and look for patterns that can be used to solve the problem. Unlike GBTs, GBT-VPRs did not influence students‘ preferences for visual or nonvisual methods. Students continued to rely on methods that they preferred since their preferences for visual or nonvisual solutions regarding GBT-PRs were similar to their solution preferences for the problems on MPI that was administered to them to determine their preferences for visual or nonvisual methods. Mary, whose MPI score suggested that she preferred to solve mathematics problems using nonvisual methods, solved GBT-VPRs with nonvisual methods. Ryan, whose MPI score suggested that he preferred to solve mathematics problems using visual methods, solved GBT-VPRs with visual methods. David, whose MPI score suggested that he preferred to solve mathematics problems using both visual and nonvisual methods, solved GBT-VPRs with both visual and nonvisual methods.