【20 天 (結果變5天) 來 Skim + Scan (03):一頁書心得 (數商)】
https://www.penana.com/article/1649263
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因為時間關係,我把 20 本縮減為 5 本。
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Day 23 ~ Day 27,我會列出五本會計學/數學相關書籍,從裡頭擷取一頁 (結果超過一頁~) 內容,然後寫一個小小的心得。
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from 博客來網路書店・我的電子書櫃「日記創挑書單」
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今天這本書是《真希望高中數學這樣教:系列暢銷20萬冊!跟著東大教授的解題祕訣,6天掌握高中數學關鍵》,作者是西成活裕, 鄉和貴,譯者是張郁萱。
https://www.books.com.tw/products/E050113778
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目錄
前言147Please respect copyright.PENANA4v029fsOrJ
登場人物介紹147Please respect copyright.PENANA0NTgovbTe4
147Please respect copyright.PENANACtH6xfqCVn
第一天 數學的樂趣在哪裡?147Please respect copyright.PENANAbel1OLUNFq
第一課 其實並不可怕的高中數學147Please respect copyright.PENANATWPYzLBXQZ
好想學真正實用的數學!147Please respect copyright.PENANApMjy3muiyj
高中數學比國中數學還簡單!?147Please respect copyright.PENANAlQRDcl0Q7A
147Please respect copyright.PENANAldivm5UeuB
第二課 超精簡的創新數學課!147Please respect copyright.PENANAoeLvZ5ceFd
果斷刪去八成教科書內容!147Please respect copyright.PENANAW5PnDS8k6k
世界首創!「西成流」數學分類法147Please respect copyright.PENANAqzJvwiR5lj
高中數學中最輕鬆的是「代數」147Please respect copyright.PENANAxZAWzNBCjp
高中數學的顛峰是「微分積分」147Please respect copyright.PENANAmJoPX0Visq
超好用的工具「餘弦定理」147Please respect copyright.PENANAoYT1rekJTV
真正的幾何大魔王是「向量」147Please respect copyright.PENANA2AqB8m9z8K
Column文組無法理解數學的理由147Please respect copyright.PENANAjo5F7aZJDc
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第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!147Please respect copyright.PENANAJI03qncAkz
第一課 速速學會統計學基礎147Please respect copyright.PENANAbIssa8GzLO
數據處理的3大必備條件147Please respect copyright.PENANAU4ui8Xp0IW
為什麼增加個數很好用?147Please respect copyright.PENANATlnggyERGD
「排列組合」是指什麼?147Please respect copyright.PENANAyrfZN6DTy6
看離散程度的「標準差」147Please respect copyright.PENANAu5IRytCgLf
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第二課 記住「數列相加」的方法147Please respect copyright.PENANA8Ph2oaUt28
天才高斯少年發現的「倒序相加」147Please respect copyright.PENANAlf08J5LCRo
超好用!任何等差數列都能用147Please respect copyright.PENANA9ZZEdJ0vgk
嚴禁直接死背公式!147Please respect copyright.PENANADsI55mkrli
導出等差數列和的公式147Please respect copyright.PENANAYy8KNmn8LG
豐臣秀吉被擺了一道!數學變黃金的故事147Please respect copyright.PENANALndBJVIDSB
等比數列是「相乘後錯位相減」147Please respect copyright.PENANApMGaq5BndL
導出等比數列和的公式147Please respect copyright.PENANAH7VH02WSru
先知道處理數列和的符號!147Please respect copyright.PENANAuYvUvBa91m
Column把數學記號當作是念魔咒147Please respect copyright.PENANAZ6nYQ1KwVS
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第三課 記住「排列組合法」147Please respect copyright.PENANAaKAbktojxx
從賽馬了解「排列」與「組合」147Please respect copyright.PENANAivcOCiOD2q
Step①了解階乘的計算方法147Please respect copyright.PENANAvQFZEjwRd4
Step②了解排列的計算方法147Please respect copyright.PENANAFvXWCnUYhb
Step③了解組合的計算方法147Please respect copyright.PENANABSqdGGrSpX
了解「排列」與「組合」的式子147Please respect copyright.PENANAM5eWnHbDHK
「排列」和「組合」的符號是「P」和「C」147Please respect copyright.PENANAX7A1zKFM3j
運用「排列」和「組合」排班表147Please respect copyright.PENANACgLdcrxYRs
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第四課 搞懂「離散值」和「標準差」147Please respect copyright.PENANAR7V1mdL60F
資訊分析的基礎是找到「數據的規則」147Please respect copyright.PENANAgrhiJp6aUy
兩個步驟找出離散程度147Please respect copyright.PENANALUlVHAQatP
平均、分散、標準差的深~度關係147Please respect copyright.PENANAcVx7R9fLaX
平均、離散、標準差的記號147Please respect copyright.PENANADJmqRpBCvL
試著用Excel計算標準差147Please respect copyright.PENANALhF8uxoRJs
也把「偏差值」的計算公式記起來147Please respect copyright.PENANAPDVEryEPqO
附註內容①深奧的平均世界147Please respect copyright.PENANA7fSs23GmYS
附註內容②平均值、中位數、眾數147Please respect copyright.PENANAQQa1uU96TO
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第三天 超爽快!掌握高中文組數學的「分析」!147Please respect copyright.PENANAjdDI2lbrIj
第一課 豁然開朗!函數的世界147Please respect copyright.PENANAtA9ShVdxbs
函數與方程式的差別?147Please respect copyright.PENANARuMF1gqkjI
高中數學的4種函數147Please respect copyright.PENANA9Zv49135fC
Column少年西成的理科腦情書147Please respect copyright.PENANAm4FYuGqGZJ
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第二課 來複習二次函數!147Please respect copyright.PENANA3dIgKIu7F2
速速複習!二次方程式147Please respect copyright.PENANA9Ub0p5aIfJ
畫出二次函數的圖形!147Please respect copyright.PENANAM8K2zqKBny
Column 物理學家是名偵探147Please respect copyright.PENANAYXac1NPKAZ
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第三課 指數函數超好用!147Please respect copyright.PENANAhhdROJDYgV
記住指數函數的相關用語147Please respect copyright.PENANAxY1L3wH9d9
基本規則①乘冪相乘時,指數相加147Please respect copyright.PENANAqS3q60uaFJ
基本規則②乘冪再乘冪時,指數相乘147Please respect copyright.PENANAmEUk7riiUI
基本規則③乘冪相除時,指數相減147Please respect copyright.PENANAQvKAlh389z
指數是負數時會怎樣?147Please respect copyright.PENANAtrc5oj2yaa
指數是「0」的時候會怎樣?147Please respect copyright.PENANA9Qc5vjFLQH
根號可以轉換成指數運算147Please respect copyright.PENANAr9XyXSAe5y
統整指數運算的處理方式147Please respect copyright.PENANA9yGGwbBuCF
將指數函數做成圖形看看!147Please respect copyright.PENANAy6a6I7T9hx
順便來談談「對數函數」的內容147Please respect copyright.PENANAyi0UEEebYs
天文數字也可以處理的對數函數147Please respect copyright.PENANA9lgcl394p5
指數函數與音樂的深~度關係147Please respect copyright.PENANAxXHRnJlUd2
用iPhone計算指數函數的方法147Please respect copyright.PENANAEfma0coSd6
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第四天 秒懂高中數學的「幾何」精髓!147Please respect copyright.PENANAwuJdI3sdws
第一課 不再霧煞煞的「三角比」147Please respect copyright.PENANAbERL97XXjw
以餘弦定理搞懂三角形147Please respect copyright.PENANAoKA00yaHQj
畫三角形的「西成流」作法147Please respect copyright.PENANAWTwfNnaVEJ
sin、cos、tan是指「邊長比」147Please respect copyright.PENANA6DC0m5ar1S
忘掉tan的存在吧!147Please respect copyright.PENANAz1fn1nee7v
直角三角形的定義中必要的θ147Please respect copyright.PENANA8A8cZj1UCz
三角比經常出現的陷阱題147Please respect copyright.PENANAs8ovtfn8qj
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第二課 俐落導出餘弦定理公式147Please respect copyright.PENANAIv6fBGWIeS
用三角比可以做的事147Please respect copyright.PENANAKAWQGgFn6I
導出餘弦定理①事前準備147Please respect copyright.PENANA1o42xjmD78
導出餘弦定理②成立公式、解開147Please respect copyright.PENANAyFfuyNmijY
導出餘弦定理③證明sin2θ+ cos2θ= 1147Please respect copyright.PENANAZT2OyjjQqa
導出餘弦定理④完成147Please respect copyright.PENANAguziIYmWUQ
餘弦定理與畢氏定理的關係147Please respect copyright.PENANAtUlpk1jOve
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第三課 學習最後的分析工具「三角函數」!147Please respect copyright.PENANAVpPvK5ZRcV
三角函數只是將θ與y的關係圖像化147Please respect copyright.PENANAjegumks9XV
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第五天 特別課程①:幾何的最終武器「向量」!147Please respect copyright.PENANAeZTwOIdUcZ
第一課 偉大的「向量」147Please respect copyright.PENANAPZFM1nQWlL
用代數解幾何問題!?147Please respect copyright.PENANASUwtUrPZwx
「短短數行」就能證明餘弦定理147Please respect copyright.PENANAq985kXVChX
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第二課 了解「向量」的超嶄新概念147Please respect copyright.PENANAt9PWZHjifO
向量是集結兩種資訊的「特殊容器」147Please respect copyright.PENANATAi4ISiSsA
眾所熟知的「純量」147Please respect copyright.PENANA12OlUimTo1
數據時代的主角「張量」147Please respect copyright.PENANApbSyFW6jfl
為什麼我們需要向量?147Please respect copyright.PENANAwq7x8YNzk5
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第三課 「向量」是用箭頭當作記號唷147Please respect copyright.PENANAVBvn398YwB
向量的書寫規則147Please respect copyright.PENANAwmOWGiIXWK
張量的畫法147Please respect copyright.PENANAqYcFQ5k8os
試著把向量畫成圖147Please respect copyright.PENANAKZKjVFTMWs
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第四課 「向量」的計算超簡單!147Please respect copyright.PENANAETg2f1V8Dy
來算算向量的加法吧147Please respect copyright.PENANAmMIuOB3r2r
也來算算向量的減法147Please respect copyright.PENANArtfFjRsNYa
試著分解向量吧147Please respect copyright.PENANA1NOeqXzWlL
試著挑戰向量的乘法147Please respect copyright.PENANAXWiLAVOMYA
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第五課 靠「向量」秒殺餘弦定理!147Please respect copyright.PENANArojF1eG8np
用向量瞬間導出餘弦定理!147Please respect copyright.PENANAHyBmUasU0Q
不論幾次元都能處理的向量147Please respect copyright.PENANADvhqWWxX82
Column少年來了!(前篇)147Please respect copyright.PENANAPpGpApKmNv
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第6天 特別課程②:用「微積分」預測未來!147Please respect copyright.PENANAaIRCFCGE5k
第一課 人類的寶物!了解微分積分147Please respect copyright.PENANAwApYaRBlXn
微分積分與函數的關係147Please respect copyright.PENANAHWMHqQ5pzU
今天的主題是「三角形面積」147Please respect copyright.PENANABTqX509AqB
牛頓VS萊布尼茲的仁義之戰147Please respect copyright.PENANAQCQGay8iSs
怎麼區分最合適?147Please respect copyright.PENANAlLsnBJooch
用微積分計算三角形的面積!147Please respect copyright.PENANAFi1Xiekf2C
來認識微分積分的符號147Please respect copyright.PENANAsbuMkMbuM5
Column少年來了!(後篇)147Please respect copyright.PENANA0V7TdCL8Q1
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第二課 用Excel預測未來!147Please respect copyright.PENANA1g7Y3Ae6Hl
現代人,用Excel就能預測未來147Please respect copyright.PENANAhBg7QUyU7a
掌握Excel的使用方法!147Please respect copyright.PENANADfIbQHLxXW
「數學家」、「AI」、「統計學家」的差別147Please respect copyright.PENANAxklUSCKLga
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後記
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from《真希望高中數學這樣教:系列暢銷20萬冊!跟著東大教授的解題祕訣,6天掌握高中數學關鍵》
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實在沒辦法只作一頁截圖,所以把指數函數和音階的關係,全部截圖下來,放在這裡,也可以讓大家看到,這本書及其姐妹作《真希望國中數學這樣教:暢銷20萬冊!6天搞懂3年數學關鍵原理,跟著東大教授學,解題力大提升!》的寫作風格,就是這麼樸實無華輕鬆有趣。
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這本書以對話體呈現,採訪者提問,教授回答,文字就是對話和解釋,佐以圖表和插圖,內容雖然是數學,卻不枯燥 (至少對我而言),看完以後是否能提升數學能力 and/or 對數學的興趣,就有待讀者自己發掘了。
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不喜歡數學,很多時候是過去的陰影 (對老師、對學校、對教法、對教材、對考試⋯⋯) 造成的,其實與數學本身無涉;數學是一種語言,跟生活經驗極其相關。
伽利略認為「自然寫在宇宙這本大書上,而這本書是用數學語言寫成的。」
生而為人,我覺得很幸運,可以用數學這個語言,試著了解宇宙的奧妙。
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以上心得,部分文字出自《真希望國中數學這樣教:暢銷20萬冊!6天搞懂3年數學關鍵原理,跟著東大教授學,解題力大提升!》網頁下方會員評鑑「有感而發」的書評,不用懷疑,那個「有感而發」就是我本人啦。
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點一下網頁的「有感而發」,就可以看到我在博客來寫的書評,連結如下:
https://www.books.com.tw/booksComment/memberComment/xxx1406281
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【十二年國教課程綱要:數學領域 (節錄)】
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【同場加映】108課綱 資訊網
https://shs.k12ea.gov.tw/site/12basic
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今天到此為止,我們明天見!!
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