國中數學學習共同體之行動研究

An Action Research on Learning Community in Junior High School Mathematic Classes

葉惠如(Hui-Ju Yeh)

指導教授 ： 蔡清田

國立中正大學/教育學院/教育學研究所/碩士(2013年)

摘要

本研究旨在以行動研究法規劃與執行學習共同體在國中數學教學之研究方案，及評鑑方案實施之成效。解決學生在國中數學競賽所遭遇的困難，並討論學生在數學素養上的轉變。本研究問題如下：
1.探究學生在國中數學競賽所遭遇的困難為何？
2.如何規劃學習共同體在國中數學教學之行動研究方案與省思為何？
3.執行學習共同體在國中數學教學之行動研究方案過程與省思為何？
4.評鑑學習共同體在國中數學教學之行動研究實施成效與省思為何？
本研究透過文獻探討、前測與情境分析發現學生學習問題，依文獻的教學策略規劃兩個循環的行動方案。與合作夥伴討論方案的優缺點，並反省與修正後，執行行動研究方案。執行期間善用學習共同體的理念，並運用合作學習策略與系統化的解題指導，促進學生數學知識的概念發展並有條理的提問和協同學習，及提供學生適切的學習鷹架和有計畫的解題。評鑑後發現學生除了在國中數學競賽成績有明顯進步外，於數學概念性知識、依程序解決數學問題的能力及寫幾何證明題的能力均有進步，但在幾何推理的學習表現較不理想，仍有改善空間。研究結束後，發現學生的數學學習行為表現仍持續正向且具有積極的學習態度。同時會將學習共同體的理念、集訓過程所學的合作概念及競賽活動所發展出的解決問題技巧，運用至其他科目的學習。在數學素養上，透過學習共同體的理念在數學知識、數學能力及學習數學的態度上都有良善的改進及成效。顯示本研究的行動研究方案能有效提升學生的數學素養，並解決學生在國中數學競賽所遭遇的學習困難。

關鍵字

國中數學競賽 ； 行動研究 ； 學習共同體 ； 數學素養

並列摘要

In this research, the researcher aimed to utilize Action Research on planning and implementing learning community project in Junior High School mathematic classes. Furthermore, the researcher examined and evaluated the performance of this project. In order to solve the problems that junior high school students would meet on mathematic competitions, and to discuss the change on students’ mathematic literacy, the researcher listed four research questions as below:
1.What are the difficulties that junior high school students have on mathematic competitions?
2.How to organize the action research project of learning community in junior high school mathematic classes?
3.What is the feedback of implementing the action research project of learning community in junior high school mathematic classes?
4.What is the feedback of evaluating the action research project of learning community in junior high school mathematic classes?
The researcher analyzed students’ learning difficulties through literature review, pre-test and scenario analysis. According to the bibliography, the researcher organized two-cycled action research. During the research, the researcher discussed the pros and cons with learning community the partners, reviewed and revised the details of this action research. Eventually, the researcher implemented the idea of learning community. By utilizing both cooperative learning strategies and systematic solution to instruct the students, students developed the concepts of mathematical knowledge, asked organized questions and learned cooperatively. Learning community provided the students scaffolding assistance and systematic solutions to mathematic questions. After evaluation, it was obvious that the students had a huge progress of mathematic competitions. Besides, they were more capable to build up the concept ideas of mathematic, solve math questions step by step, and answer geometric questions. However, for those who suffered from the geometric questions, there was room for them to make progresses. At the end of this research, students kept positive and aggressive learning attitude in mathematic classes. Simultaneously, students would apply what they have learned, such as the concept of learning community with cooperation and the developed solutions for questions, to other subjects. In mathematic literacy, learning community truly improved the math concepts, abilities and attitudes of junior high school students. Therefore, the action research project may boost the literacy and solve the learning difficulties in junior high school mathematic classes.

並列關鍵字

Mathematic Competition for Junior High School Students ； Action Research ； Learning Community ； Mathematic Literacy

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