數學寫作融入國三數學課室實踐歷程與影響之研究

Investigating the Processes and Influences of Mathematical Writing When Integrated into the Mathematics Classroom

楊德清(Der-Ching Yang) ； 姜淑珍(Shu-Zhen Jiang)

《科學教育學刊》 16卷4期 (2008/08) Pp. 439-458

https://doi.org/10.6173/CJSE.2008.1604.03

摘要

本研究的主要目的為探討一位國三數學教師如何運用行動研究，將數學寫作融入國三數學課室之教學所遭遇之困境與解決方法，以及對學生數學學習表現之影響。研究對象為南部地區某公立國中三年級學生。研究進行時間為一學期之每週國三數學複習課時間。資料收集之方式包含數學寫作學習單、學習日誌、研究者教學省思札記、以及研究觀察日誌等。研究結果顯示：數學寫作融入國三數學課室之初期所遭遇之困難為數學寫作會造成學生與老師的壓力、減少學生練習題目的時間，造成學生的質疑，稀釋了老師教學的時間，造成家長的質疑以及部分數學成績好的學生，在學習上亦會產生困擾。但是透過本研究所發展之「五步驟」解決方案之實施，對學生之數學學習表現具正面影響。這些正面影響包括：透過數學寫作學生能掌握數學寫作的要點、寫作可以幫助學生重新組織、統整及連結各種不同概念性知識與發展解題能力以及在數學學習成就上亦有正面之影響，例如參與數學寫作融入課室之學生在高中基測上之表現比未參與學生在統計上有顯著之差異，此亦對數學寫作融入課室有正面的鼓勵作用。

關鍵字

行動研究 ； 國中三年級 ； 數學寫作 ； 學習成效

並列摘要

The purposes of this study were to investigate the processes and possible problems and effects on mathematics learning when a 9(superscript th)-grade mathematics teacher utilized action research to integrate mathematics writing into a 9(superscript th)-grade class. The mathematical writing worksheets, learning diaries, teacher's reflection diaries, and classroom observations were the sources of data. The results of this study indicated that the problems the teacher met included: increased pressure on students and teacher; increased students' questioning due to the decreased time devoted to doing math problems; increased questioning from parents due to the diluted instructional time; and increased confusion among high achieving students. However, there was a positive impact on students' mathematics learning due to the use of a five step strategy used in the study. The positive effects on mathematics learning included students mastering the key points in writing mathematics showing that mathematical writing can help students reorganize, integrate, and connect all kinds of conceptual knowledge and problem solving ability. There was also a positive relationship between mathematics achievement also and mathematical writing. For example, the results of ANCOVA showed a statistically significant difference, on the high school entrance examination, between students who participated in the mathematics writing as opposed to students who did not participate in mathematics writing. This indicates that integration of mathematics writing into mathematics instruction has positive effect on mathematics learning.

並列關鍵字

Action Research ； Learning Attitude ； Mathematics Writing ； Ninth Grade

參考文獻

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