【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193Please respect copyright.PENANAm7s4sTkHp3
登場人物介紹193Please respect copyright.PENANASpOFZnWEQy
193Please respect copyright.PENANA5ak71CbiyL
第一天 數學的樂趣在哪裡?193Please respect copyright.PENANADZloXxChjA
第一課 其實並不可怕的高中數學193Please respect copyright.PENANA678RLuoqBk
好想學真正實用的數學!193Please respect copyright.PENANAxPhzLrHApN
高中數學比國中數學還簡單!?193Please respect copyright.PENANAqSbWYf1FI3
193Please respect copyright.PENANAqPMS3JEdas
第二課 超精簡的創新數學課!193Please respect copyright.PENANAe0smAVrRlH
果斷刪去八成教科書內容!193Please respect copyright.PENANA8taZLpEO8J
世界首創!「西成流」數學分類法193Please respect copyright.PENANAfz4uOkGKo9
高中數學中最輕鬆的是「代數」193Please respect copyright.PENANANRIntmsLyJ
高中數學的顛峰是「微分積分」193Please respect copyright.PENANANcesCjmy3j
超好用的工具「餘弦定理」193Please respect copyright.PENANA31YRX1xyS0
真正的幾何大魔王是「向量」193Please respect copyright.PENANAlinfzRSTjk
Column文組無法理解數學的理由193Please respect copyright.PENANAtWMmOyYgSd
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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!!193Please respect copyright.PENANAdt7uzo7bqV
第一課 速速學會統計學基礎193Please respect copyright.PENANAhW1KG8R1Cd
數據處理的3大必備條件193Please respect copyright.PENANAPNG16HYreN
為什麼增加個數很好用?193Please respect copyright.PENANAR19gQmaRAy
「排列組合」是指什麼?193Please respect copyright.PENANAWz05fQ2MHy
看離散程度的「標準差」193Please respect copyright.PENANA9erM4gpC6w
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第二課 記住「數列相加」的方法193Please respect copyright.PENANAdB36XYTuib
天才高斯少年發現的「倒序相加」193Please respect copyright.PENANAxCLsdYStYo
超好用!任何等差數列都能用193Please respect copyright.PENANAbiAMDNp34A
嚴禁直接死背公式!193Please respect copyright.PENANAcTkB2T8nig
導出等差數列和的公式193Please respect copyright.PENANAnRjMLFod3H
豐臣秀吉被擺了一道!數學變黃金的故事193Please respect copyright.PENANAInHoGcqWo0
等比數列是「相乘後錯位相減」193Please respect copyright.PENANAagkss8PfrB
導出等比數列和的公式193Please respect copyright.PENANAKwVugiRQEW
先知道處理數列和的符號!193Please respect copyright.PENANAAKKD6o4AFN
Column把數學記號當作是念魔咒193Please respect copyright.PENANAnZi5Uawp3w
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第三課 記住「排列組合法」193Please respect copyright.PENANAGdWkgEJlUM
從賽馬了解「排列」與「組合」193Please respect copyright.PENANANnpNnUrVC7
Step①了解階乘的計算方法193Please respect copyright.PENANAx8mFjEnMa1
Step②了解排列的計算方法193Please respect copyright.PENANAXDkkKV311B
Step③了解組合的計算方法193Please respect copyright.PENANAiRbTRM8NOu
了解「排列」與「組合」的式子193Please respect copyright.PENANAbDHmPMjg6r
「排列」和「組合」的符號是「P」和「C」193Please respect copyright.PENANAox9mTOor8O
運用「排列」和「組合」排班表193Please respect copyright.PENANAkQc7VrjrjX
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第四課 搞懂「離散值」和「標準差」193Please respect copyright.PENANACxZtFI4Lat
資訊分析的基礎是找到「數據的規則」193Please respect copyright.PENANAQZpW2SvQPo
兩個步驟找出離散程度193Please respect copyright.PENANAMbjsjVL4a3
平均、分散、標準差的深~度關係193Please respect copyright.PENANA8xgv7PK3pe
平均、離散、標準差的記號193Please respect copyright.PENANAgkCMIXkE0M
試著用Excel計算標準差193Please respect copyright.PENANAG0rsj6DCOn
也把「偏差值」的計算公式記起來193Please respect copyright.PENANAHp5NKNtHm1
附註內容①深奧的平均世界193Please respect copyright.PENANABk7Ihf1Akc
附註內容②平均值、中位數、眾數193Please respect copyright.PENANAcb69KSNbB3
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第三天 超爽快!掌握高中文組數學的「分析」!193Please respect copyright.PENANASmQyInjmH7
第一課 豁然開朗!函數的世界193Please respect copyright.PENANA79bLM3VrA2
函數與方程式的差別?193Please respect copyright.PENANAx44M0YQleG
高中數學的4種函數193Please respect copyright.PENANA5Bkw9ozsIb
Column少年西成的理科腦情書193Please respect copyright.PENANAy4JE7IRVAU
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第二課 來複習二次函數!193Please respect copyright.PENANAePCMFXXJpJ
速速複習!二次方程式193Please respect copyright.PENANAXOLZg1R4bZ
畫出二次函數的圖形!193Please respect copyright.PENANALWIbjOcNBJ
Column 物理學家是名偵探193Please respect copyright.PENANAvxlNiX11tm
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第三課 指數函數超好用!193Please respect copyright.PENANAuD31FYIDUL
記住指數函數的相關用語193Please respect copyright.PENANAJ7pFQTEhOQ
基本規則①乘冪相乘時,指數相加193Please respect copyright.PENANAKZfUNzQdsT
基本規則②乘冪再乘冪時,指數相乘193Please respect copyright.PENANAu2xPbK1lrp
基本規則③乘冪相除時,指數相減193Please respect copyright.PENANAl8mRntp9OZ
指數是負數時會怎樣?193Please respect copyright.PENANApd2GDCOVcn
指數是「0」的時候會怎樣?193Please respect copyright.PENANAOqfPt1GAnh
根號可以轉換成指數運算193Please respect copyright.PENANAsFHXZLMjRX
統整指數運算的處理方式193Please respect copyright.PENANANmAGm5BpHi
將指數函數做成圖形看看!193Please respect copyright.PENANAz1mIsPFKMA
順便來談談「對數函數」的內容193Please respect copyright.PENANA6kCXFb2A9U
天文數字也可以處理的對數函數193Please respect copyright.PENANAEDwpnPuENg
指數函數與音樂的深~度關係193Please respect copyright.PENANAwpzbVj3rUh
用iPhone計算指數函數的方法193Please respect copyright.PENANAjnj9OaBzFp
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第四天 秒懂高中數學的「幾何」精髓!193Please respect copyright.PENANAptyig1lQEu
第一課 不再霧煞煞的「三角比」193Please respect copyright.PENANAbY3SLPjoQ1
以餘弦定理搞懂三角形193Please respect copyright.PENANA0reujpxLcr
畫三角形的「西成流」作法193Please respect copyright.PENANACHTvACxe3y
sin、cos、tan是指「邊長比」193Please respect copyright.PENANA9AgybFf4qZ
忘掉tan的存在吧!193Please respect copyright.PENANAwZQxayVr9B
直角三角形的定義中必要的θ193Please respect copyright.PENANALgHJ41F1Ay
三角比經常出現的陷阱題193Please respect copyright.PENANAfwxSGxSNLi
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第二課 俐落導出餘弦定理公式193Please respect copyright.PENANAdnr4KirPCd
用三角比可以做的事193Please respect copyright.PENANAciLyWdTQ1X
導出餘弦定理①事前準備193Please respect copyright.PENANAlsPn9RPu4K
導出餘弦定理②成立公式、解開193Please respect copyright.PENANAJgkq6JnU7l
導出餘弦定理③證明sin2θ+ cos2θ= 1193Please respect copyright.PENANAOGIDtGateL
導出餘弦定理④完成193Please respect copyright.PENANADIrRxQwDAn
餘弦定理與畢氏定理的關係193Please respect copyright.PENANAF8MJlEyVbJ
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第三課 學習最後的分析工具「三角函數」!193Please respect copyright.PENANAHKErns3usB
三角函數只是將θ與y的關係圖像化193Please respect copyright.PENANATBNDO2hvDC
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第五天 特別課程①:幾何的最終武器「向量」!193Please respect copyright.PENANAW9sNUDChjt
第一課 偉大的「向量」193Please respect copyright.PENANA7e9xq8pmCP
用代數解幾何問題!?193Please respect copyright.PENANA0kwm8QfmIx
「短短數行」就能證明餘弦定理193Please respect copyright.PENANANpw1J4BnkN
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第二課 了解「向量」的超嶄新概念193Please respect copyright.PENANAzynV4UaPrG
向量是集結兩種資訊的「特殊容器」193Please respect copyright.PENANAykkP8DNI8U
眾所熟知的「純量」193Please respect copyright.PENANA2zCr2FN0Pt
數據時代的主角「張量」193Please respect copyright.PENANACwX79fB1Xs
為什麼我們需要向量?193Please respect copyright.PENANA3zRFMBKZpu
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第三課 「向量」是用箭頭當作記號唷193Please respect copyright.PENANAMWlgjc2i9D
向量的書寫規則193Please respect copyright.PENANA1XPKTjO1w2
張量的畫法193Please respect copyright.PENANAYJ1ByYuzWv
試著把向量畫成圖193Please respect copyright.PENANAVOUZXGaV11
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第四課 「向量」的計算超簡單!193Please respect copyright.PENANAUeWuU8k6w5
來算算向量的加法吧193Please respect copyright.PENANADYoX5C3BLK
也來算算向量的減法193Please respect copyright.PENANAxVsDcCLfOq
試著分解向量吧193Please respect copyright.PENANA22TbibAPRR
試著挑戰向量的乘法193Please respect copyright.PENANA4TswPZnGhs
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第五課 靠「向量」秒殺餘弦定理!193Please respect copyright.PENANAKzsOxQ1faP
用向量瞬間導出餘弦定理!193Please respect copyright.PENANA3REGLmJgIE
不論幾次元都能處理的向量193Please respect copyright.PENANAoMzXC2W9Gs
Column少年來了!(前篇)193Please respect copyright.PENANA5d7rIdZ5XF
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第6天 特別課程②:用「微積分」預測未來!193Please respect copyright.PENANAdeIvh8MW6k
第一課 人類的寶物!了解微分積分193Please respect copyright.PENANAF94KhWcTTf
微分積分與函數的關係193Please respect copyright.PENANATW79Dz7KzA
今天的主題是「三角形面積」193Please respect copyright.PENANAbuy1USidE4
牛頓VS萊布尼茲的仁義之戰193Please respect copyright.PENANAKBvAwHq9LX
怎麼區分最合適?193Please respect copyright.PENANAjmZntfHBNN
用微積分計算三角形的面積!193Please respect copyright.PENANAc2LqujA2iP
來認識微分積分的符號193Please respect copyright.PENANAmDvCXFisAb
Column少年來了!(後篇)193Please respect copyright.PENANAkdV0YmPy4l
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第二課 用Excel預測未來!193Please respect copyright.PENANAFxL4y5zSN1
現代人,用Excel就能預測未來193Please respect copyright.PENANAzuTxussELs
掌握Excel的使用方法!193Please respect copyright.PENANAvHSAP0H48t
「數學家」、「AI」、「統計學家」的差別193Please respect copyright.PENANAxSUHsoUvZd
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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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