【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135Please respect copyright.PENANAp4PGOkcYQI
登場人物介紹135Please respect copyright.PENANA523hKmOrdN
135Please respect copyright.PENANAwzwN3qetL0
第一天 數學的樂趣在哪裡?135Please respect copyright.PENANAjMM0fgxbns
第一課 其實並不可怕的高中數學135Please respect copyright.PENANAj9k0gvIkTx
好想學真正實用的數學!135Please respect copyright.PENANASghZpuylga
高中數學比國中數學還簡單!?135Please respect copyright.PENANApgiKPoByLR
135Please respect copyright.PENANAtqByS97BGq
第二課 超精簡的創新數學課!135Please respect copyright.PENANABJk43eruw2
果斷刪去八成教科書內容!135Please respect copyright.PENANAqYJUBWzRo9
世界首創!「西成流」數學分類法135Please respect copyright.PENANAQVDtZHYfsa
高中數學中最輕鬆的是「代數」135Please respect copyright.PENANAhrQLq38cMg
高中數學的顛峰是「微分積分」135Please respect copyright.PENANASIZDfIZWZx
超好用的工具「餘弦定理」135Please respect copyright.PENANASP230C0pRe
真正的幾何大魔王是「向量」135Please respect copyright.PENANAPfO5MevVbA
Column文組無法理解數學的理由135Please respect copyright.PENANAIOBS8uOR6T
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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!!135Please respect copyright.PENANADYDOftbCwf
第一課 速速學會統計學基礎135Please respect copyright.PENANAWr7hlqW7FM
數據處理的3大必備條件135Please respect copyright.PENANAK1EJVoXAee
為什麼增加個數很好用?135Please respect copyright.PENANAQ5fEfdGYhv
「排列組合」是指什麼?135Please respect copyright.PENANA4CMG1WPctB
看離散程度的「標準差」135Please respect copyright.PENANABKv6CziWtn
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第二課 記住「數列相加」的方法135Please respect copyright.PENANA7xP8ptwjoa
天才高斯少年發現的「倒序相加」135Please respect copyright.PENANAEaqIsTuzUh
超好用!任何等差數列都能用135Please respect copyright.PENANAnJlas18658
嚴禁直接死背公式!135Please respect copyright.PENANABoj8OvEwg0
導出等差數列和的公式135Please respect copyright.PENANA0kNyRpgnwq
豐臣秀吉被擺了一道!數學變黃金的故事135Please respect copyright.PENANAipGTCckdeu
等比數列是「相乘後錯位相減」135Please respect copyright.PENANAv9gyV6P7Za
導出等比數列和的公式135Please respect copyright.PENANAvFAJ33HtLT
先知道處理數列和的符號!135Please respect copyright.PENANAniaAbotnyZ
Column把數學記號當作是念魔咒135Please respect copyright.PENANAHsVUcpIyC2
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第三課 記住「排列組合法」135Please respect copyright.PENANArNYt93S8hm
從賽馬了解「排列」與「組合」135Please respect copyright.PENANADI2EVkOLeG
Step①了解階乘的計算方法135Please respect copyright.PENANAVb4g8XhFgp
Step②了解排列的計算方法135Please respect copyright.PENANA15e1sKI9bI
Step③了解組合的計算方法135Please respect copyright.PENANAyCfhafSMVE
了解「排列」與「組合」的式子135Please respect copyright.PENANA4e0TIBATFp
「排列」和「組合」的符號是「P」和「C」135Please respect copyright.PENANAfo7KcQxr0h
運用「排列」和「組合」排班表135Please respect copyright.PENANA0QBEkD5Dmo
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第四課 搞懂「離散值」和「標準差」135Please respect copyright.PENANApaZfC5FY1T
資訊分析的基礎是找到「數據的規則」135Please respect copyright.PENANAUzkn6jlTF9
兩個步驟找出離散程度135Please respect copyright.PENANADvFt2y3c0D
平均、分散、標準差的深~度關係135Please respect copyright.PENANAklR0GyUuTl
平均、離散、標準差的記號135Please respect copyright.PENANAZi4asxkQ97
試著用Excel計算標準差135Please respect copyright.PENANACHURVCgnKG
也把「偏差值」的計算公式記起來135Please respect copyright.PENANAFwS7k5KCHN
附註內容①深奧的平均世界135Please respect copyright.PENANAo4Km5P7qyj
附註內容②平均值、中位數、眾數135Please respect copyright.PENANARliT0PTn3Z
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第三天 超爽快!掌握高中文組數學的「分析」!135Please respect copyright.PENANAcn8ZCDT5az
第一課 豁然開朗!函數的世界135Please respect copyright.PENANASO92D4uT52
函數與方程式的差別?135Please respect copyright.PENANA836FWaaWjv
高中數學的4種函數135Please respect copyright.PENANAqgTBOuKedN
Column少年西成的理科腦情書135Please respect copyright.PENANADH7GGsk4mh
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第二課 來複習二次函數!135Please respect copyright.PENANAGMhlSObzW4
速速複習!二次方程式135Please respect copyright.PENANAvLDaafux8U
畫出二次函數的圖形!135Please respect copyright.PENANAMA2Si2wETF
Column 物理學家是名偵探135Please respect copyright.PENANARq6LohgpVw
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第三課 指數函數超好用!135Please respect copyright.PENANA4zekcZEw6n
記住指數函數的相關用語135Please respect copyright.PENANAMf1Ry97Ap6
基本規則①乘冪相乘時,指數相加135Please respect copyright.PENANAZoIpsqcPl3
基本規則②乘冪再乘冪時,指數相乘135Please respect copyright.PENANAKnn7xzQJgI
基本規則③乘冪相除時,指數相減135Please respect copyright.PENANAPArFx9fhup
指數是負數時會怎樣?135Please respect copyright.PENANAr6o71PFYb0
指數是「0」的時候會怎樣?135Please respect copyright.PENANAL2LTkRQDth
根號可以轉換成指數運算135Please respect copyright.PENANAVM6bo1wV6m
統整指數運算的處理方式135Please respect copyright.PENANAzIOmJoLuWM
將指數函數做成圖形看看!135Please respect copyright.PENANAmZl3BELBJw
順便來談談「對數函數」的內容135Please respect copyright.PENANAXNUF3aP8Li
天文數字也可以處理的對數函數135Please respect copyright.PENANAJ2k1UM6EJN
指數函數與音樂的深~度關係135Please respect copyright.PENANAvKH6FoJNHy
用iPhone計算指數函數的方法135Please respect copyright.PENANAqLvtSI8IXv
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第四天 秒懂高中數學的「幾何」精髓!135Please respect copyright.PENANAT0BHC5POyN
第一課 不再霧煞煞的「三角比」135Please respect copyright.PENANAvXlnPnWOWS
以餘弦定理搞懂三角形135Please respect copyright.PENANADT9JMbPBgu
畫三角形的「西成流」作法135Please respect copyright.PENANATU3BSpwWyE
sin、cos、tan是指「邊長比」135Please respect copyright.PENANAUWrP1Er8T6
忘掉tan的存在吧!135Please respect copyright.PENANAGpy0b3bbjT
直角三角形的定義中必要的θ135Please respect copyright.PENANAHjylAwU5xn
三角比經常出現的陷阱題135Please respect copyright.PENANA0uKxt3ijg3
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第二課 俐落導出餘弦定理公式135Please respect copyright.PENANASG22cQoqGf
用三角比可以做的事135Please respect copyright.PENANArzsGrYUiLf
導出餘弦定理①事前準備135Please respect copyright.PENANAqaPR1HcFys
導出餘弦定理②成立公式、解開135Please respect copyright.PENANALVrsqX5WSS
導出餘弦定理③證明sin2θ+ cos2θ= 1135Please respect copyright.PENANAgIa6FHYYMe
導出餘弦定理④完成135Please respect copyright.PENANAtJfPMJlppW
餘弦定理與畢氏定理的關係135Please respect copyright.PENANAxsTm89AtFw
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第三課 學習最後的分析工具「三角函數」!135Please respect copyright.PENANA2YEuoAezLR
三角函數只是將θ與y的關係圖像化135Please respect copyright.PENANAAEGU6RqahN
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第五天 特別課程①:幾何的最終武器「向量」!135Please respect copyright.PENANAaIqNAT09UC
第一課 偉大的「向量」135Please respect copyright.PENANAVA2WldOfYS
用代數解幾何問題!?135Please respect copyright.PENANAAlkUTtpi8L
「短短數行」就能證明餘弦定理135Please respect copyright.PENANAfgvM7APc38
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第二課 了解「向量」的超嶄新概念135Please respect copyright.PENANAXJjVewIODQ
向量是集結兩種資訊的「特殊容器」135Please respect copyright.PENANAcBMKysvm7y
眾所熟知的「純量」135Please respect copyright.PENANATBhWmkduvP
數據時代的主角「張量」135Please respect copyright.PENANA0creLKduYA
為什麼我們需要向量?135Please respect copyright.PENANAuqB0fotknE
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第三課 「向量」是用箭頭當作記號唷135Please respect copyright.PENANAu1nfpG8W8V
向量的書寫規則135Please respect copyright.PENANAsobgHlSbcz
張量的畫法135Please respect copyright.PENANAzWY72JLP9t
試著把向量畫成圖135Please respect copyright.PENANA0HnVju5p3A
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第四課 「向量」的計算超簡單!135Please respect copyright.PENANAm0i5qmwysw
來算算向量的加法吧135Please respect copyright.PENANAJ8xf8aUshH
也來算算向量的減法135Please respect copyright.PENANAYcSMKvk7lK
試著分解向量吧135Please respect copyright.PENANASv58aj5zUf
試著挑戰向量的乘法135Please respect copyright.PENANAjgA3VeJt4h
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第五課 靠「向量」秒殺餘弦定理!135Please respect copyright.PENANAOq3AgKiiJ9
用向量瞬間導出餘弦定理!135Please respect copyright.PENANAtLkOb7Y9zO
不論幾次元都能處理的向量135Please respect copyright.PENANAGcGmalnxdS
Column少年來了!(前篇)135Please respect copyright.PENANALjfq9ppb6q
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第6天 特別課程②:用「微積分」預測未來!135Please respect copyright.PENANA9dL114ogeK
第一課 人類的寶物!了解微分積分135Please respect copyright.PENANAQGs5XHny3T
微分積分與函數的關係135Please respect copyright.PENANAHDaF0fDbtf
今天的主題是「三角形面積」135Please respect copyright.PENANA6xRQJ2lu2z
牛頓VS萊布尼茲的仁義之戰135Please respect copyright.PENANAC59o2Hqv6h
怎麼區分最合適?135Please respect copyright.PENANAzBazSRKQbD
用微積分計算三角形的面積!135Please respect copyright.PENANA7nR3LuQZ3V
來認識微分積分的符號135Please respect copyright.PENANAsWyRynsjzV
Column少年來了!(後篇)135Please respect copyright.PENANAmrb3WERMNi
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第二課 用Excel預測未來!135Please respect copyright.PENANAFhlDOIqk2j
現代人,用Excel就能預測未來135Please respect copyright.PENANAyzQXfoUfPf
掌握Excel的使用方法!135Please respect copyright.PENANAUsNh3or32B
「數學家」、「AI」、「統計學家」的差別135Please respect copyright.PENANAjW7VzscynR
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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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