【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144Please respect copyright.PENANATJuNT2bNDF
登場人物介紹144Please respect copyright.PENANAw8Ld60JtfF
144Please respect copyright.PENANA7DKHgiAnaH
第一天 數學的樂趣在哪裡?144Please respect copyright.PENANAps0LqTNFqL
第一課 其實並不可怕的高中數學144Please respect copyright.PENANA7nwUapBgWS
好想學真正實用的數學!144Please respect copyright.PENANANtmUWRS34h
高中數學比國中數學還簡單!?144Please respect copyright.PENANABJrZELtbDz
144Please respect copyright.PENANAWL9ACy4SeO
第二課 超精簡的創新數學課!144Please respect copyright.PENANA0gjwi2pMTg
果斷刪去八成教科書內容!144Please respect copyright.PENANAEBUANHYItl
世界首創!「西成流」數學分類法144Please respect copyright.PENANAuq9sNjoUVO
高中數學中最輕鬆的是「代數」144Please respect copyright.PENANACei22USC2I
高中數學的顛峰是「微分積分」144Please respect copyright.PENANAaa3uisi6wM
超好用的工具「餘弦定理」144Please respect copyright.PENANAv7mo6iHmTB
真正的幾何大魔王是「向量」144Please respect copyright.PENANAejP2QyEBKf
Column文組無法理解數學的理由144Please respect copyright.PENANAlvALsSFQB5
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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!!144Please respect copyright.PENANAYyWnZH4MEW
第一課 速速學會統計學基礎144Please respect copyright.PENANAS0nxBMGpki
數據處理的3大必備條件144Please respect copyright.PENANAHs4CP1vgUo
為什麼增加個數很好用?144Please respect copyright.PENANABR70ltnmJH
「排列組合」是指什麼?144Please respect copyright.PENANAIiMztJbJnH
看離散程度的「標準差」144Please respect copyright.PENANAZng0VzITZ9
144Please respect copyright.PENANAOHLXYhRhH3
第二課 記住「數列相加」的方法144Please respect copyright.PENANAsl69iNuXOF
天才高斯少年發現的「倒序相加」144Please respect copyright.PENANANQxUsyYypY
超好用!任何等差數列都能用144Please respect copyright.PENANAjKdRxj476j
嚴禁直接死背公式!144Please respect copyright.PENANAPwtaO8kqSm
導出等差數列和的公式144Please respect copyright.PENANASpVZkCRG0L
豐臣秀吉被擺了一道!數學變黃金的故事144Please respect copyright.PENANAlb535j6dZI
等比數列是「相乘後錯位相減」144Please respect copyright.PENANASB8p42gyVy
導出等比數列和的公式144Please respect copyright.PENANAsEL1Hyd8S0
先知道處理數列和的符號!144Please respect copyright.PENANA0pIqvQmIah
Column把數學記號當作是念魔咒144Please respect copyright.PENANAFZHqtx5Fcn
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第三課 記住「排列組合法」144Please respect copyright.PENANAld4vcqjBe4
從賽馬了解「排列」與「組合」144Please respect copyright.PENANAv4ogIfUGWs
Step①了解階乘的計算方法144Please respect copyright.PENANA0uHluQ7Mwm
Step②了解排列的計算方法144Please respect copyright.PENANAGyJdKpPixS
Step③了解組合的計算方法144Please respect copyright.PENANAitKUGGaGb6
了解「排列」與「組合」的式子144Please respect copyright.PENANAlBUJN4yzgS
「排列」和「組合」的符號是「P」和「C」144Please respect copyright.PENANA1kLb7xKcWl
運用「排列」和「組合」排班表144Please respect copyright.PENANAmJ4QOp4xUS
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第四課 搞懂「離散值」和「標準差」144Please respect copyright.PENANAVqoprLcc0T
資訊分析的基礎是找到「數據的規則」144Please respect copyright.PENANAcMEsoSDfgO
兩個步驟找出離散程度144Please respect copyright.PENANA8KLERShyOv
平均、分散、標準差的深~度關係144Please respect copyright.PENANA9ZNU2Zk8XD
平均、離散、標準差的記號144Please respect copyright.PENANA7lZGBLQxw3
試著用Excel計算標準差144Please respect copyright.PENANAzFDZlL12RD
也把「偏差值」的計算公式記起來144Please respect copyright.PENANADIp6FcSItR
附註內容①深奧的平均世界144Please respect copyright.PENANATd97XZwsw0
附註內容②平均值、中位數、眾數144Please respect copyright.PENANAA5EyCXOTTF
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第三天 超爽快!掌握高中文組數學的「分析」!144Please respect copyright.PENANA5ZH562jhCf
第一課 豁然開朗!函數的世界144Please respect copyright.PENANAtPdSh3S7DS
函數與方程式的差別?144Please respect copyright.PENANAtyHNJZmalF
高中數學的4種函數144Please respect copyright.PENANAjxCT8UeiDC
Column少年西成的理科腦情書144Please respect copyright.PENANActWGqK8W6u
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第二課 來複習二次函數!144Please respect copyright.PENANAFicOxLStXj
速速複習!二次方程式144Please respect copyright.PENANAuhybZg8f7i
畫出二次函數的圖形!144Please respect copyright.PENANAYYmToEwuOJ
Column 物理學家是名偵探144Please respect copyright.PENANARYV3DDcygg
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第三課 指數函數超好用!144Please respect copyright.PENANACcqbahckXT
記住指數函數的相關用語144Please respect copyright.PENANAMu2OqYrfOL
基本規則①乘冪相乘時,指數相加144Please respect copyright.PENANADugFo2zGQT
基本規則②乘冪再乘冪時,指數相乘144Please respect copyright.PENANA8poaJyHPlB
基本規則③乘冪相除時,指數相減144Please respect copyright.PENANAChv24QALIo
指數是負數時會怎樣?144Please respect copyright.PENANAFtqeCunC4A
指數是「0」的時候會怎樣?144Please respect copyright.PENANAP01I4CtRW9
根號可以轉換成指數運算144Please respect copyright.PENANAjS7ZDyRh00
統整指數運算的處理方式144Please respect copyright.PENANAvQBRkqboP7
將指數函數做成圖形看看!144Please respect copyright.PENANAk7BRP03j44
順便來談談「對數函數」的內容144Please respect copyright.PENANAH2PMQu6SDN
天文數字也可以處理的對數函數144Please respect copyright.PENANAbTCmGZ44At
指數函數與音樂的深~度關係144Please respect copyright.PENANAwU6T2GerpQ
用iPhone計算指數函數的方法144Please respect copyright.PENANAgaIodDX6g5
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第四天 秒懂高中數學的「幾何」精髓!144Please respect copyright.PENANAKrdxqPOTtV
第一課 不再霧煞煞的「三角比」144Please respect copyright.PENANAjZSuuyknLt
以餘弦定理搞懂三角形144Please respect copyright.PENANA5gXaapAcZB
畫三角形的「西成流」作法144Please respect copyright.PENANAnUNclFIaOa
sin、cos、tan是指「邊長比」144Please respect copyright.PENANAIeCjrblc45
忘掉tan的存在吧!144Please respect copyright.PENANARA0RAr46bg
直角三角形的定義中必要的θ144Please respect copyright.PENANAojDH2Rls4G
三角比經常出現的陷阱題144Please respect copyright.PENANA3ha2waj4lg
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第二課 俐落導出餘弦定理公式144Please respect copyright.PENANATPkfOH31JB
用三角比可以做的事144Please respect copyright.PENANAug6QpTewL0
導出餘弦定理①事前準備144Please respect copyright.PENANARCfYHpoIE4
導出餘弦定理②成立公式、解開144Please respect copyright.PENANAg9gu454eBa
導出餘弦定理③證明sin2θ+ cos2θ= 1144Please respect copyright.PENANAJ3piRYjn31
導出餘弦定理④完成144Please respect copyright.PENANALPBcM2a7EP
餘弦定理與畢氏定理的關係144Please respect copyright.PENANA0d19E1lpmY
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第三課 學習最後的分析工具「三角函數」!144Please respect copyright.PENANAB5NRH60a4P
三角函數只是將θ與y的關係圖像化144Please respect copyright.PENANAoMrtTgRtP7
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第五天 特別課程①:幾何的最終武器「向量」!144Please respect copyright.PENANA8upqwIBHxd
第一課 偉大的「向量」144Please respect copyright.PENANAFDgP5xZJNw
用代數解幾何問題!?144Please respect copyright.PENANA5JICkHo0Zv
「短短數行」就能證明餘弦定理144Please respect copyright.PENANA8yrhGOQNhT
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第二課 了解「向量」的超嶄新概念144Please respect copyright.PENANAjlote4S73a
向量是集結兩種資訊的「特殊容器」144Please respect copyright.PENANAamKVa69ti0
眾所熟知的「純量」144Please respect copyright.PENANA9LQAAeSSnd
數據時代的主角「張量」144Please respect copyright.PENANApcIv9FTnBd
為什麼我們需要向量?144Please respect copyright.PENANAu1OkIMng0Z
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第三課 「向量」是用箭頭當作記號唷144Please respect copyright.PENANAmiI6Bt9jgX
向量的書寫規則144Please respect copyright.PENANAxwBiE3fN6A
張量的畫法144Please respect copyright.PENANA26LpQO07xK
試著把向量畫成圖144Please respect copyright.PENANAi9Q3Mk403u
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第四課 「向量」的計算超簡單!144Please respect copyright.PENANA5kr9qgCduf
來算算向量的加法吧144Please respect copyright.PENANA3EDV0yTVEb
也來算算向量的減法144Please respect copyright.PENANAt2adRGvpDC
試著分解向量吧144Please respect copyright.PENANATulcC5CR1E
試著挑戰向量的乘法144Please respect copyright.PENANAbAgUaDupnQ
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第五課 靠「向量」秒殺餘弦定理!144Please respect copyright.PENANA3nzlMgtIEj
用向量瞬間導出餘弦定理!144Please respect copyright.PENANAvPmoveO7PZ
不論幾次元都能處理的向量144Please respect copyright.PENANAMBto8xmMeo
Column少年來了!(前篇)144Please respect copyright.PENANAA6czY3o94H
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第6天 特別課程②:用「微積分」預測未來!144Please respect copyright.PENANAQb6GUMqMxn
第一課 人類的寶物!了解微分積分144Please respect copyright.PENANAxZSHRrKeiB
微分積分與函數的關係144Please respect copyright.PENANA1LWmQZkBTK
今天的主題是「三角形面積」144Please respect copyright.PENANAX5bOwjep7w
牛頓VS萊布尼茲的仁義之戰144Please respect copyright.PENANAk589176Otw
怎麼區分最合適?144Please respect copyright.PENANAGy2J8V3OrV
用微積分計算三角形的面積!144Please respect copyright.PENANABoGO4kvZMo
來認識微分積分的符號144Please respect copyright.PENANANHm64R26g0
Column少年來了!(後篇)144Please respect copyright.PENANA3Uv8wVuAmJ
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第二課 用Excel預測未來!144Please respect copyright.PENANA0vUYsUWfdJ
現代人,用Excel就能預測未來144Please respect copyright.PENANAJ60rCxwHFU
掌握Excel的使用方法!144Please respect copyright.PENANA7aTUvQYvCL
「數學家」、「AI」、「統計學家」的差別144Please respect copyright.PENANAKa1W2lo2s5
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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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