【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227Please respect copyright.PENANA69WryvCTKE
登場人物介紹227Please respect copyright.PENANAcME6Lki2Ff
227Please respect copyright.PENANA5uMzEn3gbc
第一天 數學的樂趣在哪裡?227Please respect copyright.PENANAX4yiIutOdd
第一課 其實並不可怕的高中數學227Please respect copyright.PENANA1wbMQenJ4o
好想學真正實用的數學!227Please respect copyright.PENANAvfYlgt3yDr
高中數學比國中數學還簡單!?227Please respect copyright.PENANA0TN25apFDt
227Please respect copyright.PENANA7fyqsH7WN2
第二課 超精簡的創新數學課!227Please respect copyright.PENANA8KU3LJQtWW
果斷刪去八成教科書內容!227Please respect copyright.PENANA1SfD2IIXAy
世界首創!「西成流」數學分類法227Please respect copyright.PENANAraGi38WD5t
高中數學中最輕鬆的是「代數」227Please respect copyright.PENANArjWVKqWgra
高中數學的顛峰是「微分積分」227Please respect copyright.PENANAu211SB0N9m
超好用的工具「餘弦定理」227Please respect copyright.PENANAk7AIyLXiTO
真正的幾何大魔王是「向量」227Please respect copyright.PENANA7qNDqUpzNO
Column文組無法理解數學的理由227Please respect copyright.PENANAhRg5eRuhOH
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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!!227Please respect copyright.PENANA0ZLTygHxVG
第一課 速速學會統計學基礎227Please respect copyright.PENANAzPeJ9LP1qB
數據處理的3大必備條件227Please respect copyright.PENANAD7g01KOqDx
為什麼增加個數很好用?227Please respect copyright.PENANALshDOm1tUs
「排列組合」是指什麼?227Please respect copyright.PENANAEflPW2oZmN
看離散程度的「標準差」227Please respect copyright.PENANA1IgZX3bM6b
227Please respect copyright.PENANAskNVRCJrSX
第二課 記住「數列相加」的方法227Please respect copyright.PENANABoSzEX2GFu
天才高斯少年發現的「倒序相加」227Please respect copyright.PENANAReyfI0Y6R0
超好用!任何等差數列都能用227Please respect copyright.PENANAlGdBGik50v
嚴禁直接死背公式!227Please respect copyright.PENANA14xCWCaMhA
導出等差數列和的公式227Please respect copyright.PENANAMM9PCkuetZ
豐臣秀吉被擺了一道!數學變黃金的故事227Please respect copyright.PENANARrhLTr0bcA
等比數列是「相乘後錯位相減」227Please respect copyright.PENANAmGrxCYvhFw
導出等比數列和的公式227Please respect copyright.PENANAcUgzFxG2kz
先知道處理數列和的符號!227Please respect copyright.PENANACSAJZbN10C
Column把數學記號當作是念魔咒227Please respect copyright.PENANA896R2esAvJ
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第三課 記住「排列組合法」227Please respect copyright.PENANAYUYgz5M1rL
從賽馬了解「排列」與「組合」227Please respect copyright.PENANAfqrIp3nokd
Step①了解階乘的計算方法227Please respect copyright.PENANAGBbESKawc5
Step②了解排列的計算方法227Please respect copyright.PENANANZh5slCQx8
Step③了解組合的計算方法227Please respect copyright.PENANAhkJ8FFCjvB
了解「排列」與「組合」的式子227Please respect copyright.PENANAbeAKPiuDlG
「排列」和「組合」的符號是「P」和「C」227Please respect copyright.PENANAg1DJEA1xPa
運用「排列」和「組合」排班表227Please respect copyright.PENANAzmndJ2u18B
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第四課 搞懂「離散值」和「標準差」227Please respect copyright.PENANANrJknXP3nJ
資訊分析的基礎是找到「數據的規則」227Please respect copyright.PENANAuOxQij9Gfy
兩個步驟找出離散程度227Please respect copyright.PENANA87dY2Wmh4y
平均、分散、標準差的深~度關係227Please respect copyright.PENANAdZAeWIXHHW
平均、離散、標準差的記號227Please respect copyright.PENANAhMA6BReRKn
試著用Excel計算標準差227Please respect copyright.PENANAUT3BlK8Pu3
也把「偏差值」的計算公式記起來227Please respect copyright.PENANAYIFxQ43Yti
附註內容①深奧的平均世界227Please respect copyright.PENANAU3QAWtJ4SX
附註內容②平均值、中位數、眾數227Please respect copyright.PENANAAojJnUV1fA
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第三天 超爽快!掌握高中文組數學的「分析」!227Please respect copyright.PENANADrPohPFWgs
第一課 豁然開朗!函數的世界227Please respect copyright.PENANAFo8BWxIbit
函數與方程式的差別?227Please respect copyright.PENANAFMRgDgBfdz
高中數學的4種函數227Please respect copyright.PENANAZeKHJpvVMo
Column少年西成的理科腦情書227Please respect copyright.PENANA3ukqwYK4OG
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第二課 來複習二次函數!227Please respect copyright.PENANAxJ3q0OIL1G
速速複習!二次方程式227Please respect copyright.PENANAmNBse6bVHi
畫出二次函數的圖形!227Please respect copyright.PENANAeJw3BZV9Hs
Column 物理學家是名偵探227Please respect copyright.PENANA3LIeofvM7U
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第三課 指數函數超好用!227Please respect copyright.PENANACpkkQHPpxm
記住指數函數的相關用語227Please respect copyright.PENANAm6mtfbxeMb
基本規則①乘冪相乘時,指數相加227Please respect copyright.PENANAjS0d2IQx2c
基本規則②乘冪再乘冪時,指數相乘227Please respect copyright.PENANAePuS5NyT3b
基本規則③乘冪相除時,指數相減227Please respect copyright.PENANAGT2p8NO6HG
指數是負數時會怎樣?227Please respect copyright.PENANAty9QSjEaeN
指數是「0」的時候會怎樣?227Please respect copyright.PENANAhdaAR9UTcV
根號可以轉換成指數運算227Please respect copyright.PENANAi9TTKN98Az
統整指數運算的處理方式227Please respect copyright.PENANAaZngIjDJTH
將指數函數做成圖形看看!227Please respect copyright.PENANA3pQOQjmuYu
順便來談談「對數函數」的內容227Please respect copyright.PENANAQ45ge8PjIm
天文數字也可以處理的對數函數227Please respect copyright.PENANAt9ATC7nOeV
指數函數與音樂的深~度關係227Please respect copyright.PENANAltkyPIQtkZ
用iPhone計算指數函數的方法227Please respect copyright.PENANACWyQVldyXH
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第四天 秒懂高中數學的「幾何」精髓!227Please respect copyright.PENANAsD9pGii6J7
第一課 不再霧煞煞的「三角比」227Please respect copyright.PENANAZ8wZZa8V6g
以餘弦定理搞懂三角形227Please respect copyright.PENANA4eN4uW3Kus
畫三角形的「西成流」作法227Please respect copyright.PENANAx0w3Af578B
sin、cos、tan是指「邊長比」227Please respect copyright.PENANAXfOwcKdDAQ
忘掉tan的存在吧!227Please respect copyright.PENANApYe9W3LAmN
直角三角形的定義中必要的θ227Please respect copyright.PENANAu9t7qF9GF0
三角比經常出現的陷阱題227Please respect copyright.PENANA4FNiCZzgvB
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第二課 俐落導出餘弦定理公式227Please respect copyright.PENANAtLWCFypqHt
用三角比可以做的事227Please respect copyright.PENANAFX2RbwbSQk
導出餘弦定理①事前準備227Please respect copyright.PENANAFFNeQBeIiR
導出餘弦定理②成立公式、解開227Please respect copyright.PENANAVld9tjwJor
導出餘弦定理③證明sin2θ+ cos2θ= 1227Please respect copyright.PENANAx6wS5WeaBR
導出餘弦定理④完成227Please respect copyright.PENANACCiXuhByv8
餘弦定理與畢氏定理的關係227Please respect copyright.PENANASWCBZn3ZYt
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第三課 學習最後的分析工具「三角函數」!227Please respect copyright.PENANAqgYsUbdpGw
三角函數只是將θ與y的關係圖像化227Please respect copyright.PENANAta8fNEeOih
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第五天 特別課程①:幾何的最終武器「向量」!227Please respect copyright.PENANAxOkQFpq4Ls
第一課 偉大的「向量」227Please respect copyright.PENANADNypJpUJWY
用代數解幾何問題!?227Please respect copyright.PENANAvwqXBiVelj
「短短數行」就能證明餘弦定理227Please respect copyright.PENANAbIR8WOSkr3
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第二課 了解「向量」的超嶄新概念227Please respect copyright.PENANAKL795kn3Vr
向量是集結兩種資訊的「特殊容器」227Please respect copyright.PENANA4eBtSFEA4f
眾所熟知的「純量」227Please respect copyright.PENANAT25vDRBPve
數據時代的主角「張量」227Please respect copyright.PENANAVj0gmxd9PD
為什麼我們需要向量?227Please respect copyright.PENANA8YChzndH4M
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第三課 「向量」是用箭頭當作記號唷227Please respect copyright.PENANAF2BByIucox
向量的書寫規則227Please respect copyright.PENANAoVVRQCprzs
張量的畫法227Please respect copyright.PENANAtwApQyOhfU
試著把向量畫成圖227Please respect copyright.PENANAJBKlmWNNLy
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第四課 「向量」的計算超簡單!227Please respect copyright.PENANAdRaQhg4AiQ
來算算向量的加法吧227Please respect copyright.PENANAb6DJXgU2Jb
也來算算向量的減法227Please respect copyright.PENANAgBzscXS3Bo
試著分解向量吧227Please respect copyright.PENANA6bx4KYzY5r
試著挑戰向量的乘法227Please respect copyright.PENANAx8KLmIK9ux
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第五課 靠「向量」秒殺餘弦定理!227Please respect copyright.PENANA21aHmrMmBg
用向量瞬間導出餘弦定理!227Please respect copyright.PENANAjbWW9prEan
不論幾次元都能處理的向量227Please respect copyright.PENANAoGTdsfuOdF
Column少年來了!(前篇)227Please respect copyright.PENANAkZqS6SK0pA
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第6天 特別課程②:用「微積分」預測未來!227Please respect copyright.PENANA6bowehZGpA
第一課 人類的寶物!了解微分積分227Please respect copyright.PENANAmivV8vsLSx
微分積分與函數的關係227Please respect copyright.PENANAEyHn4m3K09
今天的主題是「三角形面積」227Please respect copyright.PENANAi2PKhzCrcc
牛頓VS萊布尼茲的仁義之戰227Please respect copyright.PENANAZ3nGISIOmJ
怎麼區分最合適?227Please respect copyright.PENANAHqyjdM4Vm6
用微積分計算三角形的面積!227Please respect copyright.PENANAsM2sFi0jVa
來認識微分積分的符號227Please respect copyright.PENANA3fl1mJrvEz
Column少年來了!(後篇)227Please respect copyright.PENANADteg5H7GX2
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第二課 用Excel預測未來!227Please respect copyright.PENANAVjNWtJdPV8
現代人,用Excel就能預測未來227Please respect copyright.PENANAmlbfVr956p
掌握Excel的使用方法!227Please respect copyright.PENANAhp0SfG8rmY
「數學家」、「AI」、「統計學家」的差別227Please respect copyright.PENANADo8XOwKRQT
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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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