臺灣學位論文中以數學史融入國中數學之教育研究現況分析

Analysis of Current State for HPM Research in Junior High School in The Case of Theses and Dissertations in Taiwan

本研究旨在探討目前臺灣學術界關於數學史融入教育及教材編製的現況，以內容分析法進行，針對1999年至2020年148篇碩博士學位論文，從數學史融入教育的論文數量變化趨勢、研究主題、及教材設計完整度等角度切入。研究結果發現，具完整教案或學習工作單之「數學史融入教學」學位論文有58篇，載有相關史料之「數學史相關教材」學位論文有36篇，「與數學相關文本及素材探究」之論文有54篇。在數學史相關文本之研究國家方面，以研究中國的篇數為最多，而研究歐洲數學史最少；對日本之研究自2011年開始，朝鮮研究卻自此停滯直至2017年偶有一篇。數學史融入教育學位論文在小學階段有21篇，國中階段有36篇，高中職階段有37篇。國中階段已有11個單元具完整之教案和學習工作單，占所有24個單元的45.83％，以畢氏定理單元最多；若再合併僅附數學史素材之學習單，則達14個單元。

The purpose of this study was to investigate the current state of the HPM-integrated lessons in junior high school of Taiwan's theses and dissertations. This study adopted content analysis approach. By investigating 148 theses and dissertations ranging from 1999 to 2020, the study conducted a holistic analysis in terms of the trend in the change of quantity, research topics, and HPM-integrated lessons. As a result, 58 theses on ''History of Mathematics into Teaching'' with complete teaching plans or working sheets, 36 theses on ''Textbooks related to History of Mathematics'' containing relevant historical materials, and ''Inquiry into texts and materials related to mathematics'' for 54 articles. In terms of countries for research on texts related to the history of mathematics, China is still the main subject, while the European history of mathematics is the least. Japanese research started in 2011, but North Korean research has stagnated since then until there was an occasional article in 2017, the reason remains to be studied. Exception of the historical figures and work studies, there are 21 theses of HPM-integrated lessons for the elementary school, 36 for the junior high school, and 37 for the senior high school. There are a total of 24 mathematics units for the junior high school, 11 of which with complete teaching plans and working sheets, accounting for 45.83% of all units , and the Pythagorean theorem at 8th grade is the most. Combined with the ''Textbooks related to History of Mathematics'', there are 14 units were developed.