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Browsing by Author "Hong,Yi-Fang"

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    勾股定理幾何證明教材初探
    (2015) 洪藝芳; Hong,Yi-Fang
    勾股定理是歐氏平面幾何的核心結果,但學生通常將此定理訴諸於代數式子的操弄,忽略了其背後的幾何意義,本研究以勾股定理為題材,在魯米斯(Elisha Scott Loomis)所著作的《勾股定理》(The Pythagorean Proposition)這本書蒐集的眾多勾股定理中,選取50個幾何證明做為研究範圍,以提升學生的幾何學習層面為出發點,修補《勾股定理》書中證明的不完整,並與數位教材團隊合作開發互動數位教材,不論是透過書面嚴密的邏輯證明或是動畫展示、互動拼圖、歷史典故等方式呈現勾股幾何藝術,目的為加強學生視覺化的思考能力藉此加深幾何概念,也藉此填補教科書在勾股定理證明的單一性,期望讓學生具體的體會數學之美,更進一步藉由網路分享,提升國人的數學素養。

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