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    6. 超級十分逼近法第三版
    加快近二十倍的創新方法

    超級十分逼近法第三版

    Author 楊青峰
    Publisher starmoon /楊青峰
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    Released
    2013/02/16
    Language
    Traditional Chinese
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    Pages
    36
    ID
    19394
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    國立台灣師範大學數學系講師楊青育序:『......原本十分逼近法每一位數所需要計算的次數便由10次降到至多5次,這在計算量而言算是很大的進步,加上最後一位只需判定是前半(四捨)或後半(五入)即可,充份發揮了作者創新演算法則的巧妙運用......』

    作者原序:『十分逼近法的學習始於國中階段,主要是用來求取平方根的近似值。按民國九十七年數學領域課
    程綱要(民國一百學年度實施)的八年級細目詮釋說明:『能用十分逼近法,並以四捨五入求如
    到小數第2位的近似值。』來進行計算的話,這絕對是一種痛苦的過程。這曾在台北縣教師會網站
    的討論區引起論戰:『請問國中數學科教法之觀念---為何不教直式開方根而要教十分逼近法』,
    有人認為教直式開方根法就好了,何必教學生計算繁雜的十分逼近法?也有人認為十分逼近法是
    高中數學極限觀念的初步,有其價值。
    不管如何,這終究是國中教師教學與國中學生學習上勢必面對的課題。然而從國立編譯館時期的
    教科書開始,就把十分逼近法列入課程,但多年來在算法上進步有限。本書主要是統整十分逼近
    法與近似值兩個主題觀念,來發展出一套比傳統算法快近二十倍的方法,希望讀者能從其中受益
    ,也期待讀者看出:只要能靈活運用數學的內部連結,統整不同的數學主題,就能創造出新的解
    法,並體會『快』人一等的樂趣。』
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    傳統的十分逼近法簡介………………………………………07
    歷來,對計算十分逼近法上的改良…………………………10
    近似值的概念…………………………………………………16
    近似值在十分逼近法上的創新應用…………………………22
    老師有問題……………………………………………………31
    More
    筆者所任教的臺北市立芳和國民中學正位於臺北市臥龍街上。而臥龍街被基隆路切割成南北兩段
    ,位於和平東路那端的的國立臺北教育大學是比較為大眾所熟知的。但如果你告訴外地來的人說
    芳和國中位於臥龍街上,那麼他從和平東路那端找過來,找不到芳和國中是很正常的(找到盡頭
    ,被基隆路截斷了,就以為臥龍街,到此為止。事實上,過了基隆路那端,臥龍街仍綿延著)。
    臥龍街較不為人所知的這端,芳和國中、大安國小與和平高中三校校門均位於同一條街上。街上
    種著路樹,都是臺灣欒樹。秋天時,路樹由綠轉黃,由黃轉紅,此起彼落,煞是好看。
    筆者從師大公費生時代的大五實習教師起,就服務於此,從未調校過。這些年來,對於國中數學
    教育,自是有自己的一番觀感與看法。
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    Released
    2013/02/16
    Language
    Traditional Chinese
    File format
    EPUB: Fit in all devices
    Provide Adobe DRM
    Provide EPUB
    Offer DRM free license
    Yes
    ID
    19394

    近似值

    平方根

    十分逼近法

    數學

    國中

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    超級十分逼近法第三版

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    Iori Xu
    2015-07-27 10:02
    更複雜不是嗎 ...
    0
    starmoon Publisher
    2015-07-28 14:25
    您可能不理解,我的方法只需算至第一層,即可知道第一層的近似值。而傳統算法需算至第二層才能得到第一層的近似值。我的方法比傳統算法是簡單快速多了。
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