陳數學回憶單對國中三年級學生數學學習成效之探討－－以「圓」為例

A Study of Learning Achievements through Introspection Sheet to the Third-Grade Students in Junior High School- Taking Circle as an Example

本研究主旨在探討「數學回憶單」對於國中三年級學生數學學習效果之影響。研究者依據課程單元的學習目標自行設計的「數學回憶單」，並於課程結束後給學生進行書寫。以台南市偏郊區某國中三年級學生，共54位學生為研究對象。實驗時間為期45天，實驗單元為第五冊第二章－「圓」。於實驗後進行學業成就測驗，以獨立樣本t檢定的統計方法對實驗班及對照班進行數學學習成效之分析。並請實驗組學生完成「數學回憶單問卷調查」以了解學生對於書寫「數學回憶單」的看法，實驗結束後兩個月，實驗組學生再進行延後測，並將延後測成績與後測成績利用spss軟體進行相依樣本t檢定，以便瞭解數學回憶單對學生學習是否具有保留效果。茲將主要的研究結果摘述如下：一、「數學回憶單教學法」對國中三年級學生於數學學習上是有助益的。二、「數學回憶單教學法」對國中三年級學生數學學習上是有保留效果的。三、高分組的學生對於統整歸納、分析及連結的能力明顯優於中分組及低分組。四、大部分的學生對於「數學回憶單」對數學學習的影響是持正面看法的，不會造成太大的壓力，並且幫助學生運用後設認知的能力於數學學習上。

The purpose of this study is to investigate the learning achievement of ＂mathematical introspection sheet＂ to the Third-Grade students in a junior high school. The researcher designed ＂mathematical introspection sheet＂ that based on the learning goals of the curriculum units, and the writing activity of ＂mathematical introspection sheet＂ would be held after class. The subjects were composed of 54 students in 9th-grade of a junior high school that in the suburb of Tainan city. There were 25 students in the experimental group taught the ＂mathematical introspection sheet＂ writing activities, and 29 students in the control group taught ＂traditional mathematical teaching method＂. The experiment was treated for 45 days and the experimental units were the second chapter of the fifth book- ＂circle＂. After the experiment, the two groups were compared on their learning achievements by statistical analysis of Independent-sample t-test. The students in the experimental group filled in the questionnaire in order to understand their opinions about ＂mathematical introspection sheet＂. Two months after the end of the experiment, the experimental group took the exam of the same subject as learning achievement exam. The result of the exam was compared with the first exam result by statistical analysis of dependent-sample t-test, to know if students keep the memory of the contents of the course. The main results are as follows: 1. The ＂Mathematical introspection sheet＂ teaching method is helpful for students in learning math. 2. The ＂Mathematical introspection sheet＂ teaching method is helpful for students to keep the memory of the contents. 3. Students with high-level ability in integration, analysis and link capacity do better than middle-level students and low-level students. 4. Most of the students think that ＂Mathematical introspection sheet＂ has a positive influence on the mathematics learning, not lead to too much pressure, and it helps students' Metacognitive ability in math.