【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117Please respect copyright.PENANAbqd9BS4HR2
登場人物介紹117Please respect copyright.PENANA68AFvssuli
117Please respect copyright.PENANAuJrnxGJsxb
第一天 數學的樂趣在哪裡?117Please respect copyright.PENANAsHpdivRDoS
第一課 其實並不可怕的高中數學117Please respect copyright.PENANA3xb4IXWVl2
好想學真正實用的數學!117Please respect copyright.PENANAfXe9mQQwcx
高中數學比國中數學還簡單!?117Please respect copyright.PENANATEpZ3Toop4
117Please respect copyright.PENANAazlq5Y9hvu
第二課 超精簡的創新數學課!117Please respect copyright.PENANAyTF1LZVbPj
果斷刪去八成教科書內容!117Please respect copyright.PENANAjimDiCdJuQ
世界首創!「西成流」數學分類法117Please respect copyright.PENANAapsHIXXp7z
高中數學中最輕鬆的是「代數」117Please respect copyright.PENANAqcQUMSrA7Y
高中數學的顛峰是「微分積分」117Please respect copyright.PENANA27UZOnhSmd
超好用的工具「餘弦定理」117Please respect copyright.PENANAQF4FKynFhV
真正的幾何大魔王是「向量」117Please respect copyright.PENANA2KdJjzRXss
Column文組無法理解數學的理由117Please respect copyright.PENANAUD0FDbt7vG
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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!!117Please respect copyright.PENANAxdCccOAkjj
第一課 速速學會統計學基礎117Please respect copyright.PENANAN0qPaVpwdA
數據處理的3大必備條件117Please respect copyright.PENANAai57SHunlp
為什麼增加個數很好用?117Please respect copyright.PENANAv42qFhSTyU
「排列組合」是指什麼?117Please respect copyright.PENANADRW3qN3V9D
看離散程度的「標準差」117Please respect copyright.PENANAAY8TW6clvz
117Please respect copyright.PENANAtKvTTFitED
第二課 記住「數列相加」的方法117Please respect copyright.PENANApykla3f3gM
天才高斯少年發現的「倒序相加」117Please respect copyright.PENANAnDecOQQ3MQ
超好用!任何等差數列都能用117Please respect copyright.PENANAHO94IenMcr
嚴禁直接死背公式!117Please respect copyright.PENANA8Hk9rT1qvR
導出等差數列和的公式117Please respect copyright.PENANAttR9GWMPy4
豐臣秀吉被擺了一道!數學變黃金的故事117Please respect copyright.PENANAiP7PP1t9ZR
等比數列是「相乘後錯位相減」117Please respect copyright.PENANAsTgL9aUYJC
導出等比數列和的公式117Please respect copyright.PENANAXGaGzxwu2M
先知道處理數列和的符號!117Please respect copyright.PENANANN2TS5oRe1
Column把數學記號當作是念魔咒117Please respect copyright.PENANAZzpXPhPD6C
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第三課 記住「排列組合法」117Please respect copyright.PENANA7bVk46BFcP
從賽馬了解「排列」與「組合」117Please respect copyright.PENANAEvXMjfILJ5
Step①了解階乘的計算方法117Please respect copyright.PENANA6Xm4Cbq10F
Step②了解排列的計算方法117Please respect copyright.PENANAZViHJIKsSg
Step③了解組合的計算方法117Please respect copyright.PENANAvAWAj7j8P7
了解「排列」與「組合」的式子117Please respect copyright.PENANAWhWp0DQ4kV
「排列」和「組合」的符號是「P」和「C」117Please respect copyright.PENANApO5sXSDIvn
運用「排列」和「組合」排班表117Please respect copyright.PENANAjeIRq7DgGk
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第四課 搞懂「離散值」和「標準差」117Please respect copyright.PENANA4TFutJDrfj
資訊分析的基礎是找到「數據的規則」117Please respect copyright.PENANA8lqnbF8ef7
兩個步驟找出離散程度117Please respect copyright.PENANASiTvRAe5sx
平均、分散、標準差的深~度關係117Please respect copyright.PENANAP9poflAalN
平均、離散、標準差的記號117Please respect copyright.PENANAMxwQtJ8UGL
試著用Excel計算標準差117Please respect copyright.PENANACixzT4P5wg
也把「偏差值」的計算公式記起來117Please respect copyright.PENANA4Z1H4QuFTp
附註內容①深奧的平均世界117Please respect copyright.PENANARIzpcTnpfr
附註內容②平均值、中位數、眾數117Please respect copyright.PENANAP99vTRGEOi
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第三天 超爽快!掌握高中文組數學的「分析」!117Please respect copyright.PENANADSALvAW1Nb
第一課 豁然開朗!函數的世界117Please respect copyright.PENANADMSmIADWdM
函數與方程式的差別?117Please respect copyright.PENANAWDxvg8cyyv
高中數學的4種函數117Please respect copyright.PENANAMhT8m8mXxJ
Column少年西成的理科腦情書117Please respect copyright.PENANAemBBbzTgZN
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第二課 來複習二次函數!117Please respect copyright.PENANADAAECkP5LH
速速複習!二次方程式117Please respect copyright.PENANA9WLFObf7ds
畫出二次函數的圖形!117Please respect copyright.PENANAkCAb9RDrFd
Column 物理學家是名偵探117Please respect copyright.PENANAbVHsXH8bAI
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第三課 指數函數超好用!117Please respect copyright.PENANA3Vft3cnIWb
記住指數函數的相關用語117Please respect copyright.PENANAGhRhDGxeLd
基本規則①乘冪相乘時,指數相加117Please respect copyright.PENANANqgJTjJFSY
基本規則②乘冪再乘冪時,指數相乘117Please respect copyright.PENANASh4va1RJ5T
基本規則③乘冪相除時,指數相減117Please respect copyright.PENANAKvp7PRyurZ
指數是負數時會怎樣?117Please respect copyright.PENANAzFEcW8LyuI
指數是「0」的時候會怎樣?117Please respect copyright.PENANAOoLy96BsUO
根號可以轉換成指數運算117Please respect copyright.PENANA7fcSnsuv8r
統整指數運算的處理方式117Please respect copyright.PENANAUic8C5KSWv
將指數函數做成圖形看看!117Please respect copyright.PENANA2TLGuEdEAG
順便來談談「對數函數」的內容117Please respect copyright.PENANAouiM1HOgvU
天文數字也可以處理的對數函數117Please respect copyright.PENANASbVdKAvvZA
指數函數與音樂的深~度關係117Please respect copyright.PENANAJLUlziK3a3
用iPhone計算指數函數的方法117Please respect copyright.PENANAu3BlbvTCtd
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第四天 秒懂高中數學的「幾何」精髓!117Please respect copyright.PENANAKaPF2NWsA6
第一課 不再霧煞煞的「三角比」117Please respect copyright.PENANA7PTOLmsbF9
以餘弦定理搞懂三角形117Please respect copyright.PENANA7e6oHF9bRh
畫三角形的「西成流」作法117Please respect copyright.PENANAfms7X67R2t
sin、cos、tan是指「邊長比」117Please respect copyright.PENANAwoTC2WNU4b
忘掉tan的存在吧!117Please respect copyright.PENANA9CSxLU12eP
直角三角形的定義中必要的θ117Please respect copyright.PENANAQa6TJPpnWp
三角比經常出現的陷阱題117Please respect copyright.PENANAOoUBhWU34a
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第二課 俐落導出餘弦定理公式117Please respect copyright.PENANAgTsrSPEImv
用三角比可以做的事117Please respect copyright.PENANA9HgACwiWmZ
導出餘弦定理①事前準備117Please respect copyright.PENANAUi1HbAtZOI
導出餘弦定理②成立公式、解開117Please respect copyright.PENANAv1GmWsbv55
導出餘弦定理③證明sin2θ+ cos2θ= 1117Please respect copyright.PENANA0XJgShexL9
導出餘弦定理④完成117Please respect copyright.PENANA6DeEx89IvJ
餘弦定理與畢氏定理的關係117Please respect copyright.PENANAFhsrdEe53g
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第三課 學習最後的分析工具「三角函數」!117Please respect copyright.PENANAqKckQ1ebHJ
三角函數只是將θ與y的關係圖像化117Please respect copyright.PENANAA5mQ6RCHNL
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第五天 特別課程①:幾何的最終武器「向量」!117Please respect copyright.PENANActAioUeaHO
第一課 偉大的「向量」117Please respect copyright.PENANAnIhZ9BBHji
用代數解幾何問題!?117Please respect copyright.PENANAdv1RRVqsNo
「短短數行」就能證明餘弦定理117Please respect copyright.PENANASNZC5WCfZA
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第二課 了解「向量」的超嶄新概念117Please respect copyright.PENANAximuHFVP3b
向量是集結兩種資訊的「特殊容器」117Please respect copyright.PENANAowRJBLfyWg
眾所熟知的「純量」117Please respect copyright.PENANASTtAWuSZmN
數據時代的主角「張量」117Please respect copyright.PENANAn7iCO4wH3d
為什麼我們需要向量?117Please respect copyright.PENANANqcFww3B0L
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第三課 「向量」是用箭頭當作記號唷117Please respect copyright.PENANAZUIjCZaMXF
向量的書寫規則117Please respect copyright.PENANARTbz4b73LL
張量的畫法117Please respect copyright.PENANAp0sdoIbW78
試著把向量畫成圖117Please respect copyright.PENANAcvidha6uVr
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第四課 「向量」的計算超簡單!117Please respect copyright.PENANAj64fK97DU5
來算算向量的加法吧117Please respect copyright.PENANAGVqEuKR9p1
也來算算向量的減法117Please respect copyright.PENANAb5KwfgI84d
試著分解向量吧117Please respect copyright.PENANAyPCVm6XCxu
試著挑戰向量的乘法117Please respect copyright.PENANAPJt39hI8AE
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第五課 靠「向量」秒殺餘弦定理!117Please respect copyright.PENANANBxyNMzNbR
用向量瞬間導出餘弦定理!117Please respect copyright.PENANAjm68mhnqHh
不論幾次元都能處理的向量117Please respect copyright.PENANAxM0Y3sRpLA
Column少年來了!(前篇)117Please respect copyright.PENANAiybP0W05L3
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第6天 特別課程②:用「微積分」預測未來!117Please respect copyright.PENANAPssM6PLvjD
第一課 人類的寶物!了解微分積分117Please respect copyright.PENANA1P92UqtLyU
微分積分與函數的關係117Please respect copyright.PENANAfqXOiy4And
今天的主題是「三角形面積」117Please respect copyright.PENANAAjXLwy7Hwv
牛頓VS萊布尼茲的仁義之戰117Please respect copyright.PENANA5dGgo5Mk5f
怎麼區分最合適?117Please respect copyright.PENANAc2JP9kwhqn
用微積分計算三角形的面積!117Please respect copyright.PENANAniuG9iwAEK
來認識微分積分的符號117Please respect copyright.PENANAMq8sY9gIq3
Column少年來了!(後篇)117Please respect copyright.PENANAcxP5C86pwr
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第二課 用Excel預測未來!117Please respect copyright.PENANARJZRwcx2kf
現代人,用Excel就能預測未來117Please respect copyright.PENANAKvzIQHUUad
掌握Excel的使用方法!117Please respect copyright.PENANAuehiCjE1OS
「數學家」、「AI」、「統計學家」的差別117Please respect copyright.PENANAhRYYHd0e2g
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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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