チャールズ・ゴドフレーの数学教育論 : イギリスにおける数学教育改造運動の展開

Abstract

This paper examines the educational theory of Charles Godfrey (1874-1924), focusing on geometry. Godfrey, an English mathematics teacher and textbook author, played an important role in the reformation of mathematics education in the early twentieth century in England. At that time, the Elements of Euclid was the standard of geometry in school mathematics, so tests and curricula were dominated by this book. One issue in this reform was how the mathematics educators departed from Euclid's Elements. On behalf of John Perry, an engineer and reformer of mathematics education, Godfrey showed the new educational goals, curricula, and lessons in his textbooks and articles. He attempted to overcome the conflicts between Euclidean and utilitarian paradigms. In his theory, students learn mathematics not only deductively, but also experimentally, intuitively, and inductively, to build an "outlook" in mathematics. He focused attention on the process of leaning mathematics and the developmental stages. Then, he helped geometry in secondary schools in England depart from Euclid's Elements.