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    6. 小學算術教什麼,怎麼教
    家長須知,也是教師指南

    小學算術教什麼,怎麼教

    Author 阿哈羅尼
    Publisher 天下文化
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    Released
    2018/05/31
    Language
    Traditional Chinese
    File format
    PDF (29MB), fit in large screen and Pubook
    Pages
    306
    ID
    127794
    ISBN
    9789864794812
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    • Intro

    • Chapters

    • Author

    這本書是你從新學好小學算術的起點,
    也是你幫助孩子認識數學之美的契機。

    小學算術是人生最重要的數學課,
    你可以不懂微積分,
    但你幾乎每天都會用到小學等級的算術,
    然而,唯有了解算術的人,
    才能真正帶領小朋友,
    領略數學之美。

    大學數學教授阿哈羅尼為了扭轉小學數學教學,
    親自到小學任教,
    他這才發現,小學數學可不簡單!
    他在教小學生數學時,竟學到了很多的數學,
    他這才明白,原來要教好小學生數學,
    重點不在於教學技巧,
    而是深入熟悉數學細微的觀念,
    這樣才能一步步帶領小朋友進入數學世界。

    千萬別看不起小學算術
    在巴黎羅浮宮博物院裡,有一件十五世紀的文件相當有趣,那是一位操心的父親與數學家朋友的通信。做父親的詢問,應該把兒子送去哪所大學就讀,數學家回答說A大學還可以,但是如果真心希望兒子瞭解分數,應該把兒子送去B大學。
    不錯,僅僅500年前,分數是大學程度才會教的課程!的確,分數(以及相關的比率問題)是小學學習裡最複雜的課題,它的深度不亞於許多大學的課題。──摘自本書〈除法與分數〉

    數學到底是哪裡吸引人?
    在二年級班上,我教小朋友一種證明乘法交換律的漂亮方法(這方法我們會在乘法意義那章講到)。有位坐在第一排的小朋友抬頭凝視一會兒,然後低聲說:「真美。」
    去問數學家數學這行到底什麼地方吸引他,十之八九會回答是「美」。──摘自本書〈數學之美的祕密〉

    應用題很可怕嗎?
    算術課的意義就是教孩子如何把真實生活的情境轉化為算術式子,這是從頭就該教的。如果算術課是這麼學的,並且同時做反向的練習,也就是自己編算術故事,應用題就不會變成讓今日大多數學生害怕的妖怪了。──摘自本書〈數學的意義與應用題〉
    More
    More
    譯者序 小學數學是一中最重要的數學課 李國偉
    引言 我在小學裡學到什麼

    第一部:數學的基本要素
    1-1 數學是什麼?
    1-2 數學的三種省力法
    1-3 數學之美的祕密
    1-4 數學觀念層層相疊
    1-5 整數
    1-6 意義與計算
    1-7 十進位記數法
    1-8 在小學數學中我們學到了什麼?

    第二部:通往抽象的道路── 算術的教學原則
    2-1 傳達抽象概念
    2-2 多樣化與固著
    2-3 教學為什麼這麼難
    2-4 誘導
    2-5 命名魔力
    2-6 計算機與其他輔助教具
    2-7 有勇氣求簡

    第三部:一年級到六年級的算術
    第A篇 數學的各種意義
    3A-1 加法的意義
    3A-2 減法的意義
    3A-3 乘法的本質
    3A-4 除法的兩種意義
    3A-5 數學的意義與應用題

    第B篇 計算
    3B-1 加法的計算
    3B-2 減法:借位或重組
    3B-3 乘法的計算
    3B-4 直式乘法
    3B-5 背起來或重新算
    3B-6 除法從左邊算起

    第C篇 分數
    3C-1 除法與分數
    3C-2 分數把除法轉為乘法
    3C-3 關於分數除法的對話
    3C-4 有關分數的習題(附解答)
    3C-5 公分母
    3C-6 最小公分母
    3C-7 帶分數

    第D篇 小數
    3D-1 小數
    3D-2 小數的計算
    3D-3 百分數── 分數的通用語言

    第E篇 比率
    3E-1 比率
    3E-2 更多比率問題

    後記
    附錄:當代數學教育史中的轉折點
    More
    阿哈羅尼是以色列理工學院(Technion–Israel Institute of Technology)數學科學中心教授,主要學術貢獻在無窮組合學。他還出版過若干有關詩、幽默、邏輯悖論、哲學等方面的書籍,在所有非學術作品中,以這本協助家長與教師如何教導小朋友算術的《小學算術教什麼,怎麼教》最受歡迎。
      阿哈羅尼對於數學教育特別關心,除了親身到小學教書,現身說法寫書,也將一些有關小學數學的材料放在網頁:    www2.math.technion.ac.il/~ra/education.html。
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    Details

    Released
    2018/05/31
    Language
    Traditional Chinese
    File format
    PDF: Fit in large screen
    Provide Adobe DRM
    Does not provide PDF (Not provided by the publisher)
    Offer DRM free license
    No
    ID
    127794
    ISBN
    9789864794812

    教師指南

    教育現場

    課程/教學法

    十二年國教

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