國小四年級學童在合作學習下解數學謎題之相關研究

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題名:
國小四年級學童在合作學習下解數學謎題之相關研究
著者: 黃招華; Huang, Chao-hua
孫新民; Hsin-Min Sun; 數學教育學系教學碩士班
主題: 合作學習; 解題歷程; cooperative learning; Solving process
描述: 本論文分析學生在合作學習下解數學謎題的教學結果，來了解國小四年級學童在面對數學謎題時的自我解題及合作解題的情形。以研究者自編的「數與量」、「圖形空間」、及「邏輯推理」為範圍的十二題非例行性的數學謎題為研究工具。研究過程採用測驗、合作解題，再測驗，學生自評與觀察研究等五個主要步驟。研究樣本為國小四年級33 位學生。本研究探究問題解決的內涵，採用五個解題歷程—理解題意、尋求模式、分析計畫、執行計畫、回顧驗證，以及解題評量方法。來分析學生面對數學謎題時的自我解題及合作解題的情形。研究結果彙整如下，一、學生面對非例行性的數學謎題時，都認為很有趣也能看懂，因此能提高解題興趣並能嘗試解題。二、對於不同類型的題目，以「數與量」的解題情況最佳，「圖形空間」、及「邏輯推理」的題目次之。三、在合作學習前後學生的解題答對率提高。而低中高分組學生的解題能力提升，以中分組的學生效果最佳，高分組次之，低分組則無明顯差異。四、面對數學謎題學生在合作學習前常會因不了解題意而無法作答，合作學習教學法有助於學生理解題意，提供解題基模進而協助解題計畫的執行，在教學上是有效的教學方法。最後，依據本研究的各種結果及研究者在進行課程時所遭遇的問題及心得提出有關數學教學、課程設計及未來研究之建議。
This thesis analyzes the solving processes of math puzzle problems for fourth-gradeelementary school students using self-solving and cooperative learning methods. The researchis based on 12 non-routine mathematical puzzle problems edited by the author and dividedinto the following categories: numbers and quantity, shaped space, and logical thinking. Theresearch processes include five major steps; test, cooperative learning, re-test, self-evaluation,and observation.There are 33 students joining the study. The students experience five steps for problemsolving, which comprises understanding the problem, matching the pattern, analyzing the plan,carrying out the plan, and verification and looking back.Research findings are summarized as follows.First, the students had no experience in problems of non-routine math puzzles before thestudy. However, they are interested in the problems and could solve the problems finally.Second, for all categories of problems, the students have the best performance in the typeof number and quantity, and then the types of shaped space and logical thinking.Third, the students have improvement in problem solving after cooperative learning.Besides, the medium-level students perform better under cooperative learning, and there is nosignificant improvement for low-level students.Fourth, most students could not solve the math puzzle problems by using self-solvingmethod since they didn’t understand the questions. However, cooperative learning method canhelp the students to know the meaning of problems and provides them problem solvingmodels which can help the students to solve the questions.Finally, according to the research results and author’s experience in this study, futureresearch directions and recommendations for mathematical teaching are proposed in thisthesis.
碩士
建立日期: 2010
格式: 121 bytes
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語言: 中文
識別號: http://nutnr.lib.nutn.edu.tw/handle/987654321/2343
資源來源: NUTN IR

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國小四年級學童在合作學習下解數學謎題之相關研究

黃招華; Huang, Chao-hua 孫新民; Hsin-Min Sun; 數學教育學系教學碩士班 2010

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