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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/67640

    Title: 「高一學習多項式微分」之教案研究;A Study on the Lesson Plan of Polynomial Derivatives for Grade 11 Students
    Authors: 龍昌灝;Lung,Chung-hao
    Contributors: 數學系
    Keywords: 綜合除法;泰勒多項式;多項式函數的微分
    Date: 2015-06-29
    Issue Date: 2015-07-31 00:38:48 (UTC+8)
    Publisher: 國立中央大學
    Abstract: 本研究旨在探討研究者與指導教授共同設計的「高一學習多項式微分」教案。本教案共設計四堂多項式的微分課程與一份測驗,從泰勒形式帶入多項式的微分觀念,最後能描繪出三次多項式函數與解決應用問題。本研究並根據測驗結果分析且討論不同程度的高一學生學習多項式微分的成效與問題所在。


    ;This study aims at investigating the lesson plan of polynomial derivatives for grade 11 students. Four lectures and one assessment consist the lesson plan which was designed by the researcher and the advisor. This lesson plan regards the form of Taylor as the cutting point. By the end of the lectures, students can sketch the cubic polynomial function and solve the application problems. Basing on the observation and assessment results, this study analyzes and discusses the effects and problems of learning the polynomial derivatives on different level students of grade 11.
    On the one hand, the result shows that advanced learners can almost aquire all the lessons. And the medium to challenged learners can learn the former part, but over half of them can not learn well on the latter part: sketch the cubic polynomial function and solve the application problems. If the teaching time of the latter part is increased, the learning effect can be better. On the other hand, some students fail to grasp the mathematical language precisely, which happens not only in medium and challenged learners but also in advanced learners.
    According to the result, the researcher provides some sugesstions for teaching conditions, lesson plan designs and related studies in the future.
    Keywords: synthetic division, Taylor polynomials, polynomial derivatives
    Appears in Collections:[數學研究所] 博碩士論文

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