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題名:國小教師發展數學提問能力之合作行動研究
作者:陳淑娟
作者(外文):Shu-juan Chen
校院名稱:國立臺南大學
系所名稱:教育經營與管理研究所博士班
指導教授:劉祥通
郭丁熒
學位類別:博士
出版日期:2008
主題關鍵詞:數學教學合作行動研究數學提問Math QuestioningCooperative Action ResearchMath Instruction
原始連結:連回原系統網址new window
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本研究的主要目的在於探究國小數學教室中教師運用提問的實際面貌,瞭解在實際課堂脈絡中教師運用提問的困難處,數學提問能力演變的歷程,進而尋出實施數學提問教學的可行方案。本研究透過合作行動研究的方式,與嘉義市一位四年級教師合作,進入其數學教室,進行一學期的觀察與訪談。研究結果發現:個案教師的數學提問類型共有十二種類型,除了文獻中歸納的評鑑式、講述式、檢驗式、解釋式及探索式五種類型外,個案教師發展出另外七種新的提問類型,分別為:教導式、轉移式、開放型講述式、分解型講述式、回應型解釋式、聚焦型探索式以及準探索式。個案教師數學提問轉變的方向有二:(一)提問類型由單一到多元。(二)提問內容由封閉趨向開放、由教師中心逐漸趨向以學生的想法為依據。
教師進行數學提問的困難主要在於「錯失追問時機」及「鷹架不能配合學習者知識」,此兩者是教師實際進行數學提問的真正困難,經方案的協助,雖沒有完全克服,但發生的頻率有明顯減少的傾向。
經由本研究三個行動方案的協助,個案教師數學提問能力的發展在「促進兒童數學思考層次」(Franke, Carpenter, Levi, & Fennema,2001)的數學提問能力上由層次1發展至層次4A。在「促進數學教室對話層次」(Stein,2007)的數學提問能力,由層次0成長至層次2.5。
教師進行數學提問教學可行方式,可分三個階段各有不同的策略:首先在引發學生表達想法的「初始階段」,策略有1、善用「復述」和「回應」策略來協助學生清楚的表達。2、不僅只問「為什麼?」三個字。3、善用「解釋式提問」及「開放型講述式提問」來邀請學生貢獻想法。其次在把握住數學概念主軸的「發展階段」,可運用1、檢驗指標性學生作為教學進行的試劑,釐清教學的方向。2、運用回應型解釋式提問,讓學生的想法更清楚的表達出來。最後在需要深入概念核心的「成熟階段」策略有:1、循著學生的答案追問,把鷹架搭在學生的想法上。2、運用多重交叉檢驗模式來確立學生的概念。
This research aimed at exploring the real situation of teacher question in elementary school math class. It tried to find out the difficulties for teacher question, process of developing the ability of bringing up math questions, and feasible formula for carrying out math questions in class.
Through action research on cooperation with a teacher of the fourth graders in Chia-yi City, the researcher joined the math class for observation and interview for a semester. It was found that 12 types of bringing up math questions used by the sample teacher were identified. Except for the five types concluded in Literature Review: evaluation, narration, examination, explanation, and exploration, the sample teacher developed seven new methods for bringing up questions. They are questions for instruction, diversion, open- narration, analytic narration, respondent explanation, focusing exploration, and quasi-exploration. Development of bringing up math questions for the sample teacher was on two aspects: (1) Types of the questions brought in changed from singular to multiple. (2) Contents of the questions changed from closed to open, from teacher centered to student thoughts basis.
The major difficulties for teachers’ math questioning lied in ‘missing the opportunity of adding further questions and inconsistent of the scaffolding theory with learners’ knowledge. Those are the real problems that teachers would meet in their teaching process. Based on the diagnosis and assistance from the plan, the happening of the problems tended to be less frequent, though not be solved entirely.
With the help of the three action strategies in the research, development of the sample teacher’s math questioning ability to upgrade children’s math thinking level was from level one to level four. The math questioning ability to upgrade dialogue level in math classroom was developing from level zero to level two point five.
The practical methods of mathematics questionnaire responses were applied into three different stages and strategies. In the initial stage, teachers would stimulate students to express their thoughts. Firstly, teachers would make good use of retelling and response to assist students express clearly. Second, students would not merely ask the simple question, such as “ why”. Third, teachers would implement the strategies of explanatory questioning and open questioning to invite students to contribute their thoughts. Then, in the developing stage of seizing the core mathematics concept, teachers can distinguish their own teaching directions by examining representative students’ performance. Through the strategy of response explanation-based learning, students’ thoughts would be expressed clearly. At last, in the mature stage which reached the deep core concepts of math teaching, teachers would use the strategy of constructivism and scaffolding theories in students’ thoughts. They can also build students’ concepts by using the multiple cross examination mode.
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