【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449Please respect copyright.PENANA3GUPUE7fBy
登場人物介紹449Please respect copyright.PENANAy5bgS44tL1
449Please respect copyright.PENANAoD2hpcuKv7
第一天 數學的樂趣在哪裡?449Please respect copyright.PENANAKuaRJTsxSI
第一課 其實並不可怕的高中數學449Please respect copyright.PENANAct94lVvnA9
好想學真正實用的數學!449Please respect copyright.PENANAnzvqXVpbLs
高中數學比國中數學還簡單!?449Please respect copyright.PENANAgXuprjmmA9
449Please respect copyright.PENANA47CBVBIL8N
第二課 超精簡的創新數學課!449Please respect copyright.PENANAfN8pnX8UfW
果斷刪去八成教科書內容!449Please respect copyright.PENANAaJwWD8kI5n
世界首創!「西成流」數學分類法449Please respect copyright.PENANAAoBTFYSfUA
高中數學中最輕鬆的是「代數」449Please respect copyright.PENANAI3MgL5KHfM
高中數學的顛峰是「微分積分」449Please respect copyright.PENANATGPyg8Bi0p
超好用的工具「餘弦定理」449Please respect copyright.PENANAKSxrVubXEZ
真正的幾何大魔王是「向量」449Please respect copyright.PENANAnYanc7YF4P
Column文組無法理解數學的理由449Please respect copyright.PENANAFoTzkH46HC
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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!!449Please respect copyright.PENANANonYbH0mj0
第一課 速速學會統計學基礎449Please respect copyright.PENANAHNcS8mMzfB
數據處理的3大必備條件449Please respect copyright.PENANA48aSnsDRLb
為什麼增加個數很好用?449Please respect copyright.PENANARI6HEZRMbo
「排列組合」是指什麼?449Please respect copyright.PENANAjiL8wYWEh5
看離散程度的「標準差」449Please respect copyright.PENANAfJBlTof6bb
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第二課 記住「數列相加」的方法449Please respect copyright.PENANAgMeKiWoubl
天才高斯少年發現的「倒序相加」449Please respect copyright.PENANAryLe4f8MAV
超好用!任何等差數列都能用449Please respect copyright.PENANA5TwjxilygV
嚴禁直接死背公式!449Please respect copyright.PENANA5bu7i4kYkr
導出等差數列和的公式449Please respect copyright.PENANALofZPMus8Y
豐臣秀吉被擺了一道!數學變黃金的故事449Please respect copyright.PENANA7YFOKhETpA
等比數列是「相乘後錯位相減」449Please respect copyright.PENANA0dM35e0UEP
導出等比數列和的公式449Please respect copyright.PENANA8lRyaDpWnF
先知道處理數列和的符號!449Please respect copyright.PENANA8S8zJSQggn
Column把數學記號當作是念魔咒449Please respect copyright.PENANApb2vQpmJ5I
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第三課 記住「排列組合法」449Please respect copyright.PENANAUUr5ooGhIj
從賽馬了解「排列」與「組合」449Please respect copyright.PENANAUQGH8LIAc4
Step①了解階乘的計算方法449Please respect copyright.PENANArq9wHDLpHc
Step②了解排列的計算方法449Please respect copyright.PENANAF8AWqGvYEa
Step③了解組合的計算方法449Please respect copyright.PENANAq47ZyKQ3ns
了解「排列」與「組合」的式子449Please respect copyright.PENANAadIqEkewJP
「排列」和「組合」的符號是「P」和「C」449Please respect copyright.PENANAbxsKCPbIQO
運用「排列」和「組合」排班表449Please respect copyright.PENANAAffbDBayTg
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第四課 搞懂「離散值」和「標準差」449Please respect copyright.PENANAydhiDFBj0L
資訊分析的基礎是找到「數據的規則」449Please respect copyright.PENANAJb0KvvsRF2
兩個步驟找出離散程度449Please respect copyright.PENANAqx1jyVpmFs
平均、分散、標準差的深~度關係449Please respect copyright.PENANA1KGobvc4bt
平均、離散、標準差的記號449Please respect copyright.PENANAfBX505OVEa
試著用Excel計算標準差449Please respect copyright.PENANA3tVrYnuv1U
也把「偏差值」的計算公式記起來449Please respect copyright.PENANA6bB6uP8PqC
附註內容①深奧的平均世界449Please respect copyright.PENANAJa9jvEly4R
附註內容②平均值、中位數、眾數449Please respect copyright.PENANARWSS1PaD9I
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第三天 超爽快!掌握高中文組數學的「分析」!449Please respect copyright.PENANA4kzfKtFIBI
第一課 豁然開朗!函數的世界449Please respect copyright.PENANALx2HfKYOl8
函數與方程式的差別?449Please respect copyright.PENANAiaNIede8yr
高中數學的4種函數449Please respect copyright.PENANA5PlyirEZom
Column少年西成的理科腦情書449Please respect copyright.PENANADu9iUfuOSc
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第二課 來複習二次函數!449Please respect copyright.PENANA8S55VoRCYf
速速複習!二次方程式449Please respect copyright.PENANAbBtMht5dsK
畫出二次函數的圖形!449Please respect copyright.PENANAqkRHhtHfF5
Column 物理學家是名偵探449Please respect copyright.PENANA6NkchReAPk
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第三課 指數函數超好用!449Please respect copyright.PENANAvwqjhQJhvX
記住指數函數的相關用語449Please respect copyright.PENANABPGZcTEoTD
基本規則①乘冪相乘時,指數相加449Please respect copyright.PENANAyhiPzFrvmr
基本規則②乘冪再乘冪時,指數相乘449Please respect copyright.PENANA74tLYGWHxI
基本規則③乘冪相除時,指數相減449Please respect copyright.PENANAaM9RLEp28P
指數是負數時會怎樣?449Please respect copyright.PENANAhYZbSkomE1
指數是「0」的時候會怎樣?449Please respect copyright.PENANA4UbAh4MNiZ
根號可以轉換成指數運算449Please respect copyright.PENANAhqPkFSYWzT
統整指數運算的處理方式449Please respect copyright.PENANAYm8R6sHGb1
將指數函數做成圖形看看!449Please respect copyright.PENANAFs0Xq3Rxlt
順便來談談「對數函數」的內容449Please respect copyright.PENANA5tundR11XK
天文數字也可以處理的對數函數449Please respect copyright.PENANAr5qiwHidho
指數函數與音樂的深~度關係449Please respect copyright.PENANA9KDXPb8VCf
用iPhone計算指數函數的方法449Please respect copyright.PENANAluUSXS8YAN
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第四天 秒懂高中數學的「幾何」精髓!449Please respect copyright.PENANABbk6iZPGbw
第一課 不再霧煞煞的「三角比」449Please respect copyright.PENANAm3ShpXBBGI
以餘弦定理搞懂三角形449Please respect copyright.PENANAofQpUX8g1f
畫三角形的「西成流」作法449Please respect copyright.PENANAH0NH9aLZl4
sin、cos、tan是指「邊長比」449Please respect copyright.PENANACC37qxBd6U
忘掉tan的存在吧!449Please respect copyright.PENANASPvtJyBZFF
直角三角形的定義中必要的θ449Please respect copyright.PENANA33B1aj3GnX
三角比經常出現的陷阱題449Please respect copyright.PENANAwdM09I5zgE
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第二課 俐落導出餘弦定理公式449Please respect copyright.PENANAOsMoTlkp4V
用三角比可以做的事449Please respect copyright.PENANAd6dJmiU6vP
導出餘弦定理①事前準備449Please respect copyright.PENANAoGpspCAOMh
導出餘弦定理②成立公式、解開449Please respect copyright.PENANAO9hPQiS6bb
導出餘弦定理③證明sin2θ+ cos2θ= 1449Please respect copyright.PENANA8Ig6J4nCLk
導出餘弦定理④完成449Please respect copyright.PENANACHvl0SK0lW
餘弦定理與畢氏定理的關係449Please respect copyright.PENANADq9D4EP385
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第三課 學習最後的分析工具「三角函數」!449Please respect copyright.PENANAFGWts7l86c
三角函數只是將θ與y的關係圖像化449Please respect copyright.PENANAiAEqswRhg2
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第五天 特別課程①:幾何的最終武器「向量」!449Please respect copyright.PENANAFgum8VTe1b
第一課 偉大的「向量」449Please respect copyright.PENANATwFzAll9Co
用代數解幾何問題!?449Please respect copyright.PENANAA6fFVLNSv5
「短短數行」就能證明餘弦定理449Please respect copyright.PENANAgrmRGsdWdx
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第二課 了解「向量」的超嶄新概念449Please respect copyright.PENANA3wA7Jr4uzX
向量是集結兩種資訊的「特殊容器」449Please respect copyright.PENANApUEIL4DT5V
眾所熟知的「純量」449Please respect copyright.PENANAn3patlZIcN
數據時代的主角「張量」449Please respect copyright.PENANA7ZLUnWvdHm
為什麼我們需要向量?449Please respect copyright.PENANAVjY0Z1cPcF
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第三課 「向量」是用箭頭當作記號唷449Please respect copyright.PENANAtcrSMSB65f
向量的書寫規則449Please respect copyright.PENANArayztt6nsc
張量的畫法449Please respect copyright.PENANALVvCMXb74n
試著把向量畫成圖449Please respect copyright.PENANAy08PU1BXvS
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第四課 「向量」的計算超簡單!449Please respect copyright.PENANAGwmiSOaG9O
來算算向量的加法吧449Please respect copyright.PENANAlFIU96xrv5
也來算算向量的減法449Please respect copyright.PENANAJfvUrznOwj
試著分解向量吧449Please respect copyright.PENANAhkVcSHD0re
試著挑戰向量的乘法449Please respect copyright.PENANAev2Y3YzHoM
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第五課 靠「向量」秒殺餘弦定理!449Please respect copyright.PENANAF9rQ2W9AbE
用向量瞬間導出餘弦定理!449Please respect copyright.PENANAtjFNxjuzYG
不論幾次元都能處理的向量449Please respect copyright.PENANApNlj5tF3GT
Column少年來了!(前篇)449Please respect copyright.PENANAMnU7HBVKoa
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第6天 特別課程②:用「微積分」預測未來!449Please respect copyright.PENANAr1Io5KhLPr
第一課 人類的寶物!了解微分積分449Please respect copyright.PENANAF8G1eRuPqM
微分積分與函數的關係449Please respect copyright.PENANAwqkyIxoDqz
今天的主題是「三角形面積」449Please respect copyright.PENANAFhR8FGYvzo
牛頓VS萊布尼茲的仁義之戰449Please respect copyright.PENANAcjYw2IZ4U4
怎麼區分最合適?449Please respect copyright.PENANASZJIdjwCp7
用微積分計算三角形的面積!449Please respect copyright.PENANACEiNDbCpBg
來認識微分積分的符號449Please respect copyright.PENANADy28dd5tpC
Column少年來了!(後篇)449Please respect copyright.PENANAAHRPpitPuW
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第二課 用Excel預測未來!449Please respect copyright.PENANAPrDzTae0ja
現代人,用Excel就能預測未來449Please respect copyright.PENANAIGx15M4hp9
掌握Excel的使用方法!449Please respect copyright.PENANAASD7IEAspj
「數學家」、「AI」、「統計學家」的差別449Please respect copyright.PENANAevUn9uz0MC
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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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