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題名 擴散性思考、數學問題發現與學業成就的關係
The Relationships Between Divergent Thinking, Mathematical Problem Finding, and Mathematical Achievement
作者 邵惠靖
Shao, Hui-Ching
貢獻者 詹志禹
Chan, Chih-Yu
邵惠靖
Shao, Hui-Ching
關鍵詞 擴散性思考
數學問題發現
數學學業成就
問題
Divergent Thinking
Mathematical Problem Finding
Mathematical Achievement
A Problem
日期 2001
上傳時間 15-Apr-2016 16:00:43 (UTC+8)
摘要 本研究先藉由文獻分析法瞭解擴散性思考、數學問題發現與數學學業成就三者的內涵，繼而依據它們的內涵並佐以學習、問題解決的角度，建立起三者間關係的假設，並透過實證調查研究法來驗證這些假設。本研究之研究對象為台北縣市五所國中的318位國三學生，研究工具為「新編創造思考測驗」、「數學問題發現測驗」、「第一次數學科基本學力測驗」，並以次數統計、集群分析、相關分析、變異數分析、逐步迴歸分析進行資料分析。本研究主要的研究結果如下：
First, this study probed into the contents of divergent thinking, mathematical problem finding, and mathematical achievement by literature review. Then the researcher made hypotheses of the relationships between divergent thinking, mathematical problem finding, and mathematical achievement based on the contents of them and the views of learning and problem solving, and designed survey research to examine these hypotheses. The subjects were 318 9th grade students from five junior high schools in Taipei county and Taipei city. The data- collection instruments included：(a) New Creativity Test; (b) Mathematical Problem Finding Test; (c) Basic Educational Indicator Tests of Mathematics. After utilizing frequency, cluster analysis, correlation analysis, ANOVA, and stepwise regression, the main results of this investigation are：(a) Students can find problems of all kinds of intellectual products and mathematics. Among them, problems of relations and problems to find were found most and problems of units and classes and problems to prove were found least ; (b) There are individual differences between mathematical problem finding styles; (c) The correlations between divergent thinking and mathematical problem finding are significantly positive; (d) Most of the correlations between divergent thinking and mathematical achievement are significantly positive; (e) The correlations between mathematical problem finding and mathematical achievement are significantly positive; (f) Students who can finds many high-level problems have higher mathematical achievement than those who can not; (g) Fluency of divergent thinking, mathematical achievement, and flexibility of divergent thinking can be used to predict the number of problems of mathematical problem finding effectively; (h) Fluency of divergent thinking, mathematical achievement, and flexibility of divergent thinking can be used to predict the rarity of problems of mathematical problem finding effectively; (i) Mathematical achievement and fluency of divergent thinking can be used to predict the quality of problems of mathematical problem finding effectively; (j) The quality of problems and the number of problems can be used to predict mathematical achievement effectively. Finally, the researcher brings up some suggestions on mathematical education and the future research.
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描述 碩士
國立政治大學
教育學系
87152005
資料來源 http://thesis.lib.nccu.edu.tw/record/#A2002001079
資料類型 thesis
dc.contributor.advisor 詹志禹zh_TW
dc.contributor.advisor Chan, Chih-Yuen_US
dc.contributor.author (Authors) 邵惠靖zh_TW
dc.contributor.author (Authors) Shao, Hui-Chingen_US
dc.creator (作者) 邵惠靖zh_TW
dc.creator (作者) Shao, Hui-Chingen_US
dc.date (日期) 2001en_US
dc.date.accessioned 15-Apr-2016 16:00:43 (UTC+8)-
dc.date.available 15-Apr-2016 16:00:43 (UTC+8)-
dc.date.issued (上傳時間) 15-Apr-2016 16:00:43 (UTC+8)-
dc.identifier (Other Identifiers) A2002001079en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/84889-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 教育學系zh_TW
dc.description (描述) 87152005zh_TW
dc.description.abstract (摘要) 本研究先藉由文獻分析法瞭解擴散性思考、數學問題發現與數學學業成就三者的內涵，繼而依據它們的內涵並佐以學習、問題解決的角度，建立起三者間關係的假設，並透過實證調查研究法來驗證這些假設。本研究之研究對象為台北縣市五所國中的318位國三學生，研究工具為「新編創造思考測驗」、「數學問題發現測驗」、「第一次數學科基本學力測驗」，並以次數統計、集群分析、相關分析、變異數分析、逐步迴歸分析進行資料分析。本研究主要的研究結果如下：zh_TW
dc.description.abstract (摘要) First, this study probed into the contents of divergent thinking, mathematical problem finding, and mathematical achievement by literature review. Then the researcher made hypotheses of the relationships between divergent thinking, mathematical problem finding, and mathematical achievement based on the contents of them and the views of learning and problem solving, and designed survey research to examine these hypotheses. The subjects were 318 9th grade students from five junior high schools in Taipei county and Taipei city. The data- collection instruments included：(a) New Creativity Test; (b) Mathematical Problem Finding Test; (c) Basic Educational Indicator Tests of Mathematics. After utilizing frequency, cluster analysis, correlation analysis, ANOVA, and stepwise regression, the main results of this investigation are：(a) Students can find problems of all kinds of intellectual products and mathematics. Among them, problems of relations and problems to find were found most and problems of units and classes and problems to prove were found least ; (b) There are individual differences between mathematical problem finding styles; (c) The correlations between divergent thinking and mathematical problem finding are significantly positive; (d) Most of the correlations between divergent thinking and mathematical achievement are significantly positive; (e) The correlations between mathematical problem finding and mathematical achievement are significantly positive; (f) Students who can finds many high-level problems have higher mathematical achievement than those who can not; (g) Fluency of divergent thinking, mathematical achievement, and flexibility of divergent thinking can be used to predict the number of problems of mathematical problem finding effectively; (h) Fluency of divergent thinking, mathematical achievement, and flexibility of divergent thinking can be used to predict the rarity of problems of mathematical problem finding effectively; (i) Mathematical achievement and fluency of divergent thinking can be used to predict the quality of problems of mathematical problem finding effectively; (j) The quality of problems and the number of problems can be used to predict mathematical achievement effectively. Finally, the researcher brings up some suggestions on mathematical education and the future research.en_US
dc.description.tableofcontents 封面頁
     證明書
     致謝詞
     論文摘要
     目錄
     圖表目錄
     第一章 緒論
     第一節 問題背景與研究動機
     第二節 研究目的與待答問題
     第三節 名詞釋義
     第二章 文獻探討
     第一節 「問題」的意義
     壹．「問題」界說
     一、何謂「問題」
     二、 「問題」的成分
     三、問題參數
     貳．「問題」的出現
     參．「問題」的過程
     肆．「問題」對解題者的作用
     第二節 「問題」的分類
     壹．依照「問題」本身分類
     貳．依照問題發現程度分類
     一、顯明性問題、隱含性問題、潛在性問題
     二、矛盾式問題發現、潛在式問題發現
     三、Getzels的八大類問題
     四、Getzels的三大類問題
     第三節 「數學問題」的分類與品質
     壹．數學問題
     貳．數學問題的分類
     一、明顯可解的問題、選擇應用的問題、選擇組合的問題、接近研究等級的問題
     二、例行性問題、非例行性問題
     三、發現性問題、驗證性問題
     參．數學問題的品質
     第四節 問題發現
     壹．問題發現的研究簡史
     貳．問題發現的界說
     一、問題發現
     二、數學問題發現
     三、問題發現與問題解決的區別
     四、問題發現電腦程式
     五、問題發現與擬題
     六、問題識別
     七、問題定義
     八、問題形成
     九、問題敏覺力
     十、問題表達
     十一、問題發現類型
     十二、數學臆測
     參．問題發現的相關心智歷程與模式
     一、問題發現的成分模式
     二、問題發現的認知歷程模式
     三、問題形成的心智歷程
     四、問題發現╱問題解決的假設成分
     五、問題發現的發生認識論詮釋
     肆．問題發現能力的測量
     一、實地觀察與訪問
     二、紙筆測驗
     三、口語分析
     第五節 擴散性思考
     壹．擴散性思考的本質
     一、擴散性思考的意義
     二、擴散性思考與回憶
     貳．擴散性思考的特性
     參．擴散性思考測驗
     一、擴散性思考測驗不等同於創造力測驗
     二、擴散性思考測驗
     三、擴散性思考測驗的信度與效度問題
     第六節 擴散思考、數學問題發現與學業成就的關係
     壹．數學學業成就
     貳．擴散性思考與數學問題發現的關係
     參．擴散性思考與數學學業成就的關係
     肆．數學學習問題發現與數學學業成就的關係
     伍．研究假設
     第三章 研究方法
     第一節 研究架構
     第二節 研究對象
     第三節 研究工具
     第四節 研究程序
     第五節 資料分析
     第四章 研究結果
     第一節 基本資料
     第二節 學生所發現的數學問題
     第三節 擴散性思考與數學問題發現的關係
     第四節 擴散性思考與數學學業成就的關係
     第五節 數學問題發現與數學學業成就的關係
     第六節 擴散性思考、數學問題發現與數學學業成就的關係
     第五章 討論、結論與建議
     第一節 討論
     壹．學生所發現的數學問題
     貳．擴散性思考、數學問題發現與學業成就的關係
     參．研究方法
     第二節 結論
     第三節 建議
     壹．對數學教育的建議
     貳．對未來研究的建議
     參考文獻
     壹．中文部分
     貳．英文部分
     附錄
     附錄一 數學問題發現測驗正式版本
     附錄二 數學問題發現測驗預試版的測驗說明
     附錄三 國中數學概念
     附錄四 情境一的數學問題
     附錄五 情境二的數學問題
     附錄六 情境三的數學問題
     附錄七 擴散性思考、數學問題發現與數學學業成就兩兩變項間的二維座標分布圖		zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#A2002001079en_US
dc.subject (關鍵詞) 擴散性思考zh_TW
dc.subject (關鍵詞) 數學問題發現zh_TW
dc.subject (關鍵詞) 數學學業成就zh_TW
dc.subject (關鍵詞) 問題zh_TW
dc.subject (關鍵詞) Divergent Thinkingen_US
dc.subject (關鍵詞) Mathematical Problem Findingen_US
dc.subject (關鍵詞) Mathematical Achievementen_US
dc.subject (關鍵詞) A Problemen_US
dc.title (題名) 擴散性思考、數學問題發現與學業成就的關係zh_TW
dc.title (題名) The Relationships Between Divergent Thinking, Mathematical Problem Finding, and Mathematical Achievementen_US
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) 壹．中文部分
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