應用動畫設計初探中學數學無字證明-以台灣現行課綱為例

Abstract

數學教育改革呼籲學校課程重視推理與證明，然而學生在學習數學證明的過程中往往充滿挑戰與挫折感，因而失去對數學學習的興趣。 本研究旨在提升學生對於數學證明的學習興趣，將其中一些無字證明製作成Flash動畫，以數位化的教材呈現，以期提供教師生動的教學資源；換言之，本研究乃在應用動畫設計來探討中學數學相關的無字證明，並以台灣現行課綱為研究基準；此外，本研究採用問卷調查法，透過無字證明研究團隊的討論、與教師的訪談、評鑑與反思以及不斷修正的循環過程，發展出合適的數位教材，幫助教師和學生建立與傳統有別的教學模式和學習方式，期盼能引起學生們的學習興趣。因此，本研究的貢獻乃透過數位教材的多媒體效果，讓學生具體地體會數學證明之奧妙，進一步藉由網路分享，提升國人的數學素養。Educators for mathematical education reform call for an emphasis on teaching reasoning and proving in school curricula, yet when learning mathematics proofs, students are often feeling intimidated and frustrated, and lose interest in studying mathematics. This study aims to increase students' interest in learning mathematics proofs using the presentation of digital teaching materials, by turning Proofs Without Words into Flash animation. The result may serve as a lively teaching resource for math teachers. Additionally, Questionnaire Survey Method is adopted in this study, and with the help of the cyclical process of Proofs Without Words (PWWs) research team discussions, teachers’ interviews, evaluation and reflection, and continuous revision, a proper digital teaching material is developed to assist teachers and students in establishing a teaching and learning model that is apart from the traditional method, so that it could increase students’ learning interest. Thus, the contributions of this study are to let students experience palpably the marvel of mathematics proofs using digital materials with multi-media effects, and to improve mathematical literacy of the public through online sharing.