【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102Please respect copyright.PENANAFIZ9Mf3nGv
登場人物介紹102Please respect copyright.PENANAt9CaX4B8Eg
102Please respect copyright.PENANA1NonJdkSt4
第一天 數學的樂趣在哪裡?102Please respect copyright.PENANALY8zXKwgmk
第一課 其實並不可怕的高中數學102Please respect copyright.PENANAasM0zYXEsT
好想學真正實用的數學!102Please respect copyright.PENANAVJzNS2fejC
高中數學比國中數學還簡單!?102Please respect copyright.PENANAaLGIKTsV6o
102Please respect copyright.PENANA4G5L2TS3gQ
第二課 超精簡的創新數學課!102Please respect copyright.PENANADqgibGZkg2
果斷刪去八成教科書內容!102Please respect copyright.PENANAvQXoNn4Qor
世界首創!「西成流」數學分類法102Please respect copyright.PENANAchd1KDzdww
高中數學中最輕鬆的是「代數」102Please respect copyright.PENANAAkELC5Dx0b
高中數學的顛峰是「微分積分」102Please respect copyright.PENANA6L4388sesZ
超好用的工具「餘弦定理」102Please respect copyright.PENANASDdafifsfq
真正的幾何大魔王是「向量」102Please respect copyright.PENANARloP1Nrs7l
Column文組無法理解數學的理由102Please respect copyright.PENANAQCxo3z23ht
102Please respect copyright.PENANA8YryvBM7Bt
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!102Please respect copyright.PENANAfHh7WwayuH
第一課 速速學會統計學基礎102Please respect copyright.PENANAnL1r9iDc8L
數據處理的3大必備條件102Please respect copyright.PENANAvpBz5QzbC0
為什麼增加個數很好用?102Please respect copyright.PENANAOBGNLFvSuM
「排列組合」是指什麼?102Please respect copyright.PENANAlxqsdvo5Sp
看離散程度的「標準差」102Please respect copyright.PENANAAojTLeRVza
102Please respect copyright.PENANA60eNXdRi7m
第二課 記住「數列相加」的方法102Please respect copyright.PENANAvk91QlngUt
天才高斯少年發現的「倒序相加」102Please respect copyright.PENANADTV9UDI5ss
超好用!任何等差數列都能用102Please respect copyright.PENANA4qE9Rbavq1
嚴禁直接死背公式!102Please respect copyright.PENANAokVmR598qp
導出等差數列和的公式102Please respect copyright.PENANAiT1CbzwfJY
豐臣秀吉被擺了一道!數學變黃金的故事102Please respect copyright.PENANAX9P2WdhBIS
等比數列是「相乘後錯位相減」102Please respect copyright.PENANA333Bk8FGpV
導出等比數列和的公式102Please respect copyright.PENANA0GmuJzFlel
先知道處理數列和的符號!102Please respect copyright.PENANAZ8fFkm6zzg
Column把數學記號當作是念魔咒102Please respect copyright.PENANAZjSzaHL8cT
102Please respect copyright.PENANA23flEWsZgS
第三課 記住「排列組合法」102Please respect copyright.PENANAZWdY13Bca2
從賽馬了解「排列」與「組合」102Please respect copyright.PENANABVMNu6dqrm
Step①了解階乘的計算方法102Please respect copyright.PENANAZI2EI4Tag9
Step②了解排列的計算方法102Please respect copyright.PENANADwQugTIfKc
Step③了解組合的計算方法102Please respect copyright.PENANAgyyWeLaNvH
了解「排列」與「組合」的式子102Please respect copyright.PENANAluDuHuMp9A
「排列」和「組合」的符號是「P」和「C」102Please respect copyright.PENANAVi8SE7PXHk
運用「排列」和「組合」排班表102Please respect copyright.PENANA9SSY2yz4aQ
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第四課 搞懂「離散值」和「標準差」102Please respect copyright.PENANAFn22SnYBA3
資訊分析的基礎是找到「數據的規則」102Please respect copyright.PENANAjvJBCkEmkL
兩個步驟找出離散程度102Please respect copyright.PENANA95idJ5eTGR
平均、分散、標準差的深~度關係102Please respect copyright.PENANARNsSIenZuW
平均、離散、標準差的記號102Please respect copyright.PENANArt3j1ty8OA
試著用Excel計算標準差102Please respect copyright.PENANADrIorirMsY
也把「偏差值」的計算公式記起來102Please respect copyright.PENANAe05d3BJ6Xt
附註內容①深奧的平均世界102Please respect copyright.PENANAAVQpiJfBFQ
附註內容②平均值、中位數、眾數102Please respect copyright.PENANAYIeK4qxr40
102Please respect copyright.PENANASIYVJZQsQM
第三天 超爽快!掌握高中文組數學的「分析」!102Please respect copyright.PENANABYxBSxqO7h
第一課 豁然開朗!函數的世界102Please respect copyright.PENANAWddiJRyCZP
函數與方程式的差別?102Please respect copyright.PENANAp3Wd4oaByw
高中數學的4種函數102Please respect copyright.PENANAHeYrluvfEG
Column少年西成的理科腦情書102Please respect copyright.PENANAAv0jOBntdP
102Please respect copyright.PENANA2tA5kerGkn
第二課 來複習二次函數!102Please respect copyright.PENANAW1k4yzOwbG
速速複習!二次方程式102Please respect copyright.PENANA0RkdpqAsBp
畫出二次函數的圖形!102Please respect copyright.PENANAa8SMHA2Jya
Column 物理學家是名偵探102Please respect copyright.PENANAj8cq5zctai
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第三課 指數函數超好用!102Please respect copyright.PENANAprpNsqIXne
記住指數函數的相關用語102Please respect copyright.PENANASjlTd4W1zd
基本規則①乘冪相乘時,指數相加102Please respect copyright.PENANAx1pXJYOsfu
基本規則②乘冪再乘冪時,指數相乘102Please respect copyright.PENANAPtrosHMLUv
基本規則③乘冪相除時,指數相減102Please respect copyright.PENANA3abIfikpJG
指數是負數時會怎樣?102Please respect copyright.PENANAnSeEX8Q0Fu
指數是「0」的時候會怎樣?102Please respect copyright.PENANAX1lq0d5UHR
根號可以轉換成指數運算102Please respect copyright.PENANAR3T9ypVcNG
統整指數運算的處理方式102Please respect copyright.PENANAG5CmK4oP3h
將指數函數做成圖形看看!102Please respect copyright.PENANAKIDBmfK2zf
順便來談談「對數函數」的內容102Please respect copyright.PENANAQPU8JlsuYG
天文數字也可以處理的對數函數102Please respect copyright.PENANALA8foGBXCG
指數函數與音樂的深~度關係102Please respect copyright.PENANAVtB8TcZwb0
用iPhone計算指數函數的方法102Please respect copyright.PENANAJcptc9l3Ru
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第四天 秒懂高中數學的「幾何」精髓!102Please respect copyright.PENANATaG2bzOzxN
第一課 不再霧煞煞的「三角比」102Please respect copyright.PENANAjESofgThzK
以餘弦定理搞懂三角形102Please respect copyright.PENANAVsXjyEJ98E
畫三角形的「西成流」作法102Please respect copyright.PENANAUr9tMYwy2J
sin、cos、tan是指「邊長比」102Please respect copyright.PENANAqqagmVwOIb
忘掉tan的存在吧!102Please respect copyright.PENANArgJI0QjLtn
直角三角形的定義中必要的θ102Please respect copyright.PENANAcPLiwfpR3J
三角比經常出現的陷阱題102Please respect copyright.PENANAgScQDgCJeh
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第二課 俐落導出餘弦定理公式102Please respect copyright.PENANART3EV2Hxov
用三角比可以做的事102Please respect copyright.PENANAnuCThXJxnO
導出餘弦定理①事前準備102Please respect copyright.PENANAWPXfwghuNv
導出餘弦定理②成立公式、解開102Please respect copyright.PENANAWwdZFdRq0Q
導出餘弦定理③證明sin2θ+ cos2θ= 1102Please respect copyright.PENANAxO0ICcvIiS
導出餘弦定理④完成102Please respect copyright.PENANAcVxuJU13bq
餘弦定理與畢氏定理的關係102Please respect copyright.PENANASsDXDuCqu7
102Please respect copyright.PENANAuciLtrTmaP
第三課 學習最後的分析工具「三角函數」!102Please respect copyright.PENANAzJ0NHR1my2
三角函數只是將θ與y的關係圖像化102Please respect copyright.PENANAHhSCPj4yxC
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第五天 特別課程①:幾何的最終武器「向量」!102Please respect copyright.PENANApDDx4tid7r
第一課 偉大的「向量」102Please respect copyright.PENANAzXF28obSBF
用代數解幾何問題!?102Please respect copyright.PENANACkY7OXs1ZH
「短短數行」就能證明餘弦定理102Please respect copyright.PENANAv3kekXB7oV
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第二課 了解「向量」的超嶄新概念102Please respect copyright.PENANA2ox0xNWnhw
向量是集結兩種資訊的「特殊容器」102Please respect copyright.PENANAt4liW2SDfi
眾所熟知的「純量」102Please respect copyright.PENANAG7tlzSdgBV
數據時代的主角「張量」102Please respect copyright.PENANAbLZLJfrxvD
為什麼我們需要向量?102Please respect copyright.PENANAS9k1LAVVhc
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第三課 「向量」是用箭頭當作記號唷102Please respect copyright.PENANAHRk6YwHnc3
向量的書寫規則102Please respect copyright.PENANA8sqyqk0jPG
張量的畫法102Please respect copyright.PENANARUjZpoQ1in
試著把向量畫成圖102Please respect copyright.PENANAL8X3clbwTF
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第四課 「向量」的計算超簡單!102Please respect copyright.PENANAI2CX6pHjwX
來算算向量的加法吧102Please respect copyright.PENANAWE7QbObHJi
也來算算向量的減法102Please respect copyright.PENANABp0CVBZmDh
試著分解向量吧102Please respect copyright.PENANALsnAshrhTx
試著挑戰向量的乘法102Please respect copyright.PENANAX3oqnomS60
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第五課 靠「向量」秒殺餘弦定理!102Please respect copyright.PENANAjcwl1IDxyX
用向量瞬間導出餘弦定理!102Please respect copyright.PENANAWrTSVbrCjh
不論幾次元都能處理的向量102Please respect copyright.PENANAkM520nOZ8a
Column少年來了!(前篇)102Please respect copyright.PENANArulFQ3eoLf
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第6天 特別課程②:用「微積分」預測未來!102Please respect copyright.PENANAFKkCR2MwPV
第一課 人類的寶物!了解微分積分102Please respect copyright.PENANAzdcWuo5BVP
微分積分與函數的關係102Please respect copyright.PENANAqzyVsY54gM
今天的主題是「三角形面積」102Please respect copyright.PENANAEfO0gTgr8k
牛頓VS萊布尼茲的仁義之戰102Please respect copyright.PENANAMvH1CQ713q
怎麼區分最合適?102Please respect copyright.PENANAgmWotBcJD0
用微積分計算三角形的面積!102Please respect copyright.PENANAoetRgR5Ptf
來認識微分積分的符號102Please respect copyright.PENANAjmSBUtVUGl
Column少年來了!(後篇)102Please respect copyright.PENANAmPycq2G83O
102Please respect copyright.PENANAq5bZdYYH5J
第二課 用Excel預測未來!102Please respect copyright.PENANA4XrV17P4N4
現代人,用Excel就能預測未來102Please respect copyright.PENANAkn81IKYNSI
掌握Excel的使用方法!102Please respect copyright.PENANAbkopAGXq3j
「數學家」、「AI」、「統計學家」的差別102Please respect copyright.PENANAqlGoGOs1nE
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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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