The Development of a Teaching Program, Focusing on the Importance of Connections between Mathematics and Science Teaching, Using a Material from Scientific History : A Case Study on the Sine Theorem of "Kepler's law"

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  • 科学史による数学と理科の関連性を重視した指導事例の検証 : 正弦定理を利用したケプラーの地球軌道の発見過程を例に
  • カガクシ ニ ヨル スウガク ト リカ ノ カンレンセイ オ ジュウシ シタ シドウ ジレイ ノ ケンショウ : セイゲン テイリ オ リヨウ シタ ケプラー ノ チキュウ キドウ ノ ハッケン カテイ オ レイ ニ

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Abstract

The purpose of this research was to develop a teaching program on the sine theorem, using "Kepler's law" as a material from scientific history, and to investigate its effectiveness. A lesson plan for mathematics class was prepared for 74 high school students, in order to apply Kepler's laws of planetary motion that show that the earth orbits around the sun in a near circle, using the sine theorem. Subsequently, a pre- and post-questionnaire were implemented in addition to free answers using a text-mining approach. These free answers were categorized, and a correspondence analysis was implemented for three groups, divided by the levels of their interest or disinterest in mathematics and science teaching. When the Wilcoxon signed-ranks test was performed in 11 common items in the pre- and post-questionnaires, the score of the post-test rose significantly for seven items; the item "mathematics and science have connections" improved in particular. Free answers, such as "Mathematics and science have connections" and "Mathematics is necessary in science teaching" were elicited from the students, which may imply the importance of the connections between mathematics and science teaching, as well as the usefulness of the sine theorem.

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