Vee圖策略融入數學教學對國二學生數學素養表現之研究

Study on Vee Map Tactics Integrated into Mathemaitcs Teaching and the Performance of Eight Graders’ Mathemaitcal Proficiencies

簡民峰(Min-Feng Chien)

指導教授 ： 秦爾聰 ； 溫媺純

國立彰化師範大學/理學院/科學教育研究所/碩士(2016年)

摘要

本研究為研究者與授課教師合作之行動研究，旨在探討教師將Vee圖策略融入數學教學的歷程以及過程中所發展之適合學生使用的Vee圖策略型式，並探討低、中、高學習成就學生在該策略中數學素養的展現情形。研究對象為合作教師所任教之八年級班級學生共二十五名，其中男生人數有十二人，女生人數十三人，並採取立意取樣，選取八名學生做為本研究的主要觀察對象。本研究共分兩階段進行，第一階段目的為發展適合學生使用之Vee圖策略，藉由蒐集學生所繪製的Vee圖、教師教學所使用之情形與學生晤談及課室觀察紀錄等資料，執行了兩次的計劃、行動、反思、修正的行動研究循環，第二階段研究中研究者透過實際使用修正後Vee圖策略進行教學，藉由學生在本階段所填之Vee圖及課程表現情形來觀察其數學素養的展現情形。

第一階段研究中提出適合於國中生數學學習之Vee圖策略亦發現修正Vee圖的主要核心要點仍為學生能夠掌握Vee圖的內涵，且能簡單的被使用，透過該工具能幫助學生記錄知識建構的過程，進而達到有意義的學習目標。從第二階段結果中也發現Vee圖策略對高、中、低學習成就學生皆能清楚表達其探討問題的解決過程與方法，展現其概念理解、程序流暢與適性推理能力，而低學習成就生在課室中能主動積極的與同儕及老師進行討論，展現其建設性頃向。故本策略的發展將有助於學生在傳統課室中的學習並展現其數學素養。

關鍵字

Vee圖策略 ； 數學素養

並列摘要

The study is an action research conducted by a researcher and the teacher, aiming at investigating the progress of how the teacher integrates Vee map tactics into mathemaitcs teaching and the performance of high, medium and low achievers’ mathemaitcal proficiencies under the Vee map tactics integraed teaching.

The research subjects are an eighth grade class of twenty five students, including twelve boys and thirteen girls, while eight students are purposively selected as the main observing subjects. There are two main stages of the study. The first one is to develop an appropriate Vee map tactics for the students. During this satge, two cycles of action research of plan, action, reflection and modification are conducted by means of collecting and alalysing the students’ Vee maps, teacher’s teaching diary, researcher’s classroom observation records, and students’ interviews. In the second stage, modified Vee map tactics is applied in the teaching, and students’ performance of mathemaitcal proficiencies is examined.

The research results show that the key point of modifying the Vee map tactics should be whether the students could grasp the essence of the Vee map and apply it easily, in order to help them record the process of constructing new knowledge effectively and then reach the learning goals meaningfully. Besides, by means of the Vee maps drawn by the students, the processes and methods of students’ thinking while they are solving a problem are revealed clearly. No matter they are high, medium or low achievers, all of them could reveal conceptual understanding, procedural fluency and adaptive reasoning. Especially the low achievers show productive disposition through actively consulting and discussing with the teacher and peers. To sum up, the Vee map tactics developed in the study might be helpful for the traditional mathematics teaching and the students’ mathematical proficiencies.

並列關鍵字

Vee map tactic ； mathemaitcal proficiencie

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