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  • 學位論文

文史學生的數學教室:愉悅的體驗旅程

Mathematical Classroom for High School Students with Humanity Tendency: A Delightful Journey Experiencing the Power and Value of Mathematics

指導教授 : 翁秉仁
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摘要


本研究替高中數學老師找到較適合文史學生的體驗脈絡的教學立場,老師的任務是帶領學生進行以故事為主軸的體驗旅程,使其能親自體驗數學知識的威力及價值。本文將以向量、虛數、數學歸納法的教案作為示例。

並列摘要


This research project develops a mathematical pedagogy called experience-context stance, which is more appropriate for high school students with humanity tendency. The major task of the teacher is to guide students going through a story or epic telling journey, so that the students can experience, by themselves, the power and value of the learning subject. We also provide three lesson scenarios, which include vector, imaginary number and mathematical induction, to demonstrate this teaching stance.

參考文獻


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[37] Dudley, Underwood (2010). What Is Mathematics For ? Notices, 57, 608-613.
[38] Ernest, Paul (1991). The philosophy of mathematics education. Falmer Press.
[40] Nelsen, Roger B. (1993). Proofs without words : exercises in visual thinking. The Mathematical Association of America.
[41] Tymoczko, Thomas (ed.) (1998). New Directions in the Philosophy of Mathematics. Princeton university Press.

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