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臺灣學術界數學史研究之現況分析與建議:以1992年至2017年學位論文為例

Analysis of Current State and Recommendations for HPM Research in Taiwan: The Case of Theses and Dissertations from 1992 to 2017

摘要


本研究旨在探討目前臺灣學術界關於數學史研究、數學史融入教學的現況、發展趨勢及對數學史教學研究的啟示。本研究係以內容分析法進行,針對1992年至2017年間143篇碩博士學位論文,從論文數量變化趨勢、研究主題、研究方法及數學史融入教學的單元等角度切入。結果顯示,純數學史的研究中,以探討中國古代數學的篇數過半為最多,而歐洲國家數學史最少。亞洲區域除了中國外,也對朝鮮及日本等地區的數學史進行相關研究。以教育階段區分,數學史融入教學的研究數量以國小與國中階段最多,高中次之,高職最少。不過數學史融入教學的單元佔比卻呈現相反趨勢。在研究方法方面,以質性研究的比例最高,除了行動研究與準實驗研究外,問卷和訪談是最主要的研究工具。本研究也針對未來數學史融入教學的方向提出一些建議。

關鍵字

HPM 數學史 數學教育 學位論文

並列摘要


The purpose of this study was to investigate the current state, trend, and revelation of Taiwan's theses and dissertations in the field of HPM. This study adopted content analysis approach. By investigating 143 theses and dissertations ranging from 1992 to 2017, the study conducted a holistic analysis in terms of the trend in the change of quantity, research topics, methodologies, and HPM-integrated lessons. The result reveals that, regarding the study of ancient mathematics, over one half of the studies focused on Chinese context, while Europe context attracted the least attention. Beside of the ancient Chinese mathematics, Korean and Japanese mathematics were also investigated. As of the HPM-integrated lessons, the elementary and junior high school levels have the highest percentage followed by the high school level, and senior vocational school received the least attention. However, the ratio of the HPM-integrated lessons to the textbook lessons appears an opposite trend. Qualitative studies outnumbered the quantitative ones in these theses and dissertations. Beside of action research and quasi-experimental studies, questionnaires and interviews are the main instruments. The present study recommends several issues for future HPM researches.

參考文獻


Fauvel, J., & Van Maanen, J. (1997). The role of the history of mathematics in the teaching and learning of mathematics: Discussion document for an ICMI Study (1997-2000). Educational Studies in Mathematics, 34(3), 255-259.
Kilpatrick, J., Swafford, J., & Findell, B. (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press.
Nesher, P., & Kilpatrick, J. (Eds). (1990). Mathematics and cognition: A research synthesis by the international group for the psychology of mathematics education. Cambridge, UK: Cambridge University Press.
王添法(1992)。明清時代所譯的《幾何原本》(未出版之碩士論文),國立臺灣師範大學,臺北市。
李國偉、黃文璋、楊德清、劉柏宏(2013)。教育部提升國民素養實施方案─數學素養研究計畫結案報告。教育部提升國民素養專案辦公室研究計劃成果報告。臺北市:教育部。

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