運用合作學習於國中生數學解題歷程之現象探討

Abstract

本研究旨在編製和設計一個適合國中九年級實施合作學習之教學活動，透過實際操作瞭解實施之結果，希望藉由數學教學活動的實施，探究其對學生在學習數學解題過程所產生的現象，並且分析國中數學教師對實施合作學習的可行性以及實施限制、改進方法。本研究所運用的研究法為質性研究法以及描述性統計的個案研究，深入瞭解六次的合作學習教學法對28位學生在數學解題歷程的改變情形。透過學習單、學習回饋單、前後測問卷、訪談以及觀察、教學錄影等資料，進行分析與質性的詮釋。 研究結果發現：（一）實施合作式數學教學活動，能提升學生的數學解題歷程表現；（二）實施合作式數學教學活動，能引發學生課程的參與度；（三）實施合作式數學教學活動，能提升學生的數學成績表現；（四）實施合作式數學教學活動，能發揮補救教學的功能；（五）實施合作式數學教學活動，能增進同學願意教導低學習成就的學生。最後，研究者再依據教學上的省思，說明本研究的可行性與實施限制，並提出改進的相關建議。

關鍵字：合作學習、數學解題歷程、國中數學

The major purpose of this study was to select and design collaborative activities for math learning for the ninth-grade students in a junior high school. Through practicing the curriculum, students’ attitude toward mathematics learning was better understood, and the feasibility, limitations, and improvement strategies of mathematical activities were also explored. Qualitative research as well as analysis of descriptive statistics by case study was applied. Six activities for learning mathematics were conducted in a group of twenty-eight students. Data were collected through worksheets, feedback, pretest-posttest questionnaires, interviews, observation, and videotaping. The data were analyzed through methods of qualitative and quantitative research. The major findings of this study include：（1）Collaborative activities for math learning were found contributing to enhancing students’ competency of mathematics problem solving.（2）The implementation of the collaborative activities can promote the students’ participation in class activities.（3）The implementation of the collaborative activities can improve the students’ performance.（4）The implementation of the collaborative activities can exert the function of the remedial instruction. (5) The implementation of the collaborative activities can make the students more willing to teach their fellow students with lower achievement. Finally, based on the reflection in teaching, the researcher indicated the feasibility and limitations of the study, and made suggestion of future studies. Key words: collaborative learning, process of problem solving in math , middle-school math