PAC理論融入數學教學輔導之研究

The Research of Integrating PAC Theory into Mathematics Teaching

連晉鋒(Jin-Feng Lien)

指導教授 ： 王牧民

中原大學/理學院/應用數學研究所/碩士(2012年)

https://doi.org/10.6840/cycu201200144

摘要

本研究旨在探討PAC理論融入國中數學教學之成效。透過行動研究，設計教學活動，將PAC理論應用在教學上，以合作學習法中的分組競賽代替傳統講述的數學教學方法，提昇學生數學學習的興趣和學習成效。實施PAC理論融入分組競賽教學後，研究的結果如下：
1、學生數學學習興趣的提昇：學生在經過為期三周的分組競賽學習後，根據問卷調查的結果顯示，將PAC理論融入分組競賽教學的確能有效提昇學生的數學學習興趣與專注力，讓原本學習心態較為被動的學生，為了遵守合約進而獲得正向的安撫，會主動學習。各組為了小組榮譽，所有同學都會主動積極的討論上台試題，勇於上台嘗試解題。PAC理論融入分組競賽教學課程可有效產生更多學生間的數學溝通，讓同學有參與感，提昇學習的興趣。
2、學生學習成效的提昇：經前後兩次段考成績的統計比較後，整體平均顯示學生的數學成就有所提昇，尤其是本來學習成效落後的同學，進步的幅度最大。顯示PAC理論融入分組競賽教學課程的確能提昇學生學習數學的成效。

關鍵字

合作學習 ； PAC理論

並列摘要

The present study aims to investigate the effect of integrating PAC theory into mathematics teaching at the junior high school level. With action research, teaching activities based on PAC theory were designed and applied to classrooms. In addition, the didactic instruction method was substituted by grouping games to increase students’ interests in learning mathematics and their proficiency. The findings of this study are summarized as follows:
1. The enhancement of students’ interests in learning mathematics. With a quantitative research method, the results indicated that after three-week grouping games, cooperative learning based on PAC theory was significantly positively correlated with students’ interests and attention in learning mathematics. Even the students with a passive learning attitude would learn mathematics more actively in order to get a positive stroke. Furthermore, all the students in the classroom would try to solve mathematics tasks to obtain group honor. Therefore, integrating PAC theory into grouping games can reinforce the participation and the communication between students, increasing their interests in learning mathematics.
2. The enhancement of students’ proficiency in mathematics. Comparing with the participants’ mathematics grades of their monthly exams (i.e., pre-test/post-test comparisons), the result showed that their proficiency in mathematics was significantly positively increased, and the low mathematics achievers had the largest improvement. This finding of the present study indicated that integrating PAC theory into grouping games can increase students’ proficiency in mathematics.

並列關鍵字

PAC theory ； cooperative learning

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