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25Please respect copyright.PENANAVKVRRinjW5
登場人物介紹25Please respect copyright.PENANAAe5psBE7Ez
25Please respect copyright.PENANARNZGxuv9h8
第一天 數學的樂趣在哪裡?25Please respect copyright.PENANATeCyFEEUrD
第一課 其實並不可怕的高中數學25Please respect copyright.PENANAob95ZGBVnF
好想學真正實用的數學!25Please respect copyright.PENANA3momlsMWJx
高中數學比國中數學還簡單!?25Please respect copyright.PENANA9j4ECtEy58
25Please respect copyright.PENANAKWFxxOQSEe
第二課 超精簡的創新數學課!25Please respect copyright.PENANAfOGWUmXVFw
果斷刪去八成教科書內容!25Please respect copyright.PENANA2gCAsKOFjh
世界首創!「西成流」數學分類法25Please respect copyright.PENANAnhTtA8Y4Ne
高中數學中最輕鬆的是「代數」25Please respect copyright.PENANAqBRP4m0BNl
高中數學的顛峰是「微分積分」25Please respect copyright.PENANAx9MSedPFPf
超好用的工具「餘弦定理」25Please respect copyright.PENANAZio8GIcXpg
真正的幾何大魔王是「向量」25Please respect copyright.PENANA5AibA9rupX
Column文組無法理解數學的理由25Please respect copyright.PENANAKTkedtrUad
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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!!25Please respect copyright.PENANARgcPVY5mr1
第一課 速速學會統計學基礎25Please respect copyright.PENANAnwZTrFKIJH
數據處理的3大必備條件25Please respect copyright.PENANA893Ps4c9Rf
為什麼增加個數很好用?25Please respect copyright.PENANAXLOTSx7Qfc
「排列組合」是指什麼?25Please respect copyright.PENANAVYtiUJ21zQ
看離散程度的「標準差」25Please respect copyright.PENANA7xetMAJh4f
25Please respect copyright.PENANA7SZ9mPkNJd
第二課 記住「數列相加」的方法25Please respect copyright.PENANAKawt8c94Qi
天才高斯少年發現的「倒序相加」25Please respect copyright.PENANAuAX1uTOxtU
超好用!任何等差數列都能用25Please respect copyright.PENANAMYChWMvHXx
嚴禁直接死背公式!25Please respect copyright.PENANAKU4R2Cfnrf
導出等差數列和的公式25Please respect copyright.PENANA5N1wuGf6C9
豐臣秀吉被擺了一道!數學變黃金的故事25Please respect copyright.PENANAQwDPpvkmVL
等比數列是「相乘後錯位相減」25Please respect copyright.PENANA3efOH9k1BG
導出等比數列和的公式25Please respect copyright.PENANAC5pj1L5PBh
先知道處理數列和的符號!25Please respect copyright.PENANALEhLTClH2z
Column把數學記號當作是念魔咒25Please respect copyright.PENANAspFmsHAanc
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第三課 記住「排列組合法」25Please respect copyright.PENANAsCUDfn56sZ
從賽馬了解「排列」與「組合」25Please respect copyright.PENANAWG5gLKY636
Step①了解階乘的計算方法25Please respect copyright.PENANAP8AvIfsWwQ
Step②了解排列的計算方法25Please respect copyright.PENANA6JuxzDenYz
Step③了解組合的計算方法25Please respect copyright.PENANAnSC6KIsZvR
了解「排列」與「組合」的式子25Please respect copyright.PENANA3Bs3BJVSPq
「排列」和「組合」的符號是「P」和「C」25Please respect copyright.PENANA9rYu1oPgjg
運用「排列」和「組合」排班表25Please respect copyright.PENANAeSTiu9GL8Y
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第四課 搞懂「離散值」和「標準差」25Please respect copyright.PENANABpBnVEvFOT
資訊分析的基礎是找到「數據的規則」25Please respect copyright.PENANAvOcnykirxC
兩個步驟找出離散程度25Please respect copyright.PENANAHLoSvJlOs0
平均、分散、標準差的深~度關係25Please respect copyright.PENANA8qPddw0hZQ
平均、離散、標準差的記號25Please respect copyright.PENANA9nlSKkHAmj
試著用Excel計算標準差25Please respect copyright.PENANAVs8WBkmKXw
也把「偏差值」的計算公式記起來25Please respect copyright.PENANA6KFVXbr7WZ
附註內容①深奧的平均世界25Please respect copyright.PENANAJcIPj4jot2
附註內容②平均值、中位數、眾數25Please respect copyright.PENANAradm8RUQZO
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第三天 超爽快!掌握高中文組數學的「分析」!25Please respect copyright.PENANAqgRVMiP7KT
第一課 豁然開朗!函數的世界25Please respect copyright.PENANABkx84LxTEw
函數與方程式的差別?25Please respect copyright.PENANADBj8AzojPU
高中數學的4種函數25Please respect copyright.PENANAeBZLOPZnZp
Column少年西成的理科腦情書25Please respect copyright.PENANAmQh7m1dziO
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第二課 來複習二次函數!25Please respect copyright.PENANA13VkuAraFK
速速複習!二次方程式25Please respect copyright.PENANAJokVIYWGeU
畫出二次函數的圖形!25Please respect copyright.PENANAFTWjV8rbOl
Column 物理學家是名偵探25Please respect copyright.PENANA18h7KRtSUm
25Please respect copyright.PENANAP3qmM5RiST
第三課 指數函數超好用!25Please respect copyright.PENANAO5WBlnJeSx
記住指數函數的相關用語25Please respect copyright.PENANAtOdrhwgoRC
基本規則①乘冪相乘時,指數相加25Please respect copyright.PENANAgAalzMt5rx
基本規則②乘冪再乘冪時,指數相乘25Please respect copyright.PENANAZPLOp43kWw
基本規則③乘冪相除時,指數相減25Please respect copyright.PENANApnbCSlDjEe
指數是負數時會怎樣?25Please respect copyright.PENANAJJYm8JoaT5
指數是「0」的時候會怎樣?25Please respect copyright.PENANAzexAuVmgSn
根號可以轉換成指數運算25Please respect copyright.PENANAoRvLUd4QfO
統整指數運算的處理方式25Please respect copyright.PENANAFYrgLQwmU9
將指數函數做成圖形看看!25Please respect copyright.PENANABoVOez4NrC
順便來談談「對數函數」的內容25Please respect copyright.PENANAxYhkcVIvf2
天文數字也可以處理的對數函數25Please respect copyright.PENANAHAFFKr3GeO
指數函數與音樂的深~度關係25Please respect copyright.PENANA940Pc80q4D
用iPhone計算指數函數的方法25Please respect copyright.PENANAFpoq3jpOZg
25Please respect copyright.PENANAlPRVUmjnpa
第四天 秒懂高中數學的「幾何」精髓!25Please respect copyright.PENANALqn57AHkmu
第一課 不再霧煞煞的「三角比」25Please respect copyright.PENANAHHcQ7fzm82
以餘弦定理搞懂三角形25Please respect copyright.PENANABJopx9Dgt4
畫三角形的「西成流」作法25Please respect copyright.PENANAA1I9wXPpNw
sin、cos、tan是指「邊長比」25Please respect copyright.PENANAisSpEBxTDT
忘掉tan的存在吧!25Please respect copyright.PENANAMFuffJ9mpd
直角三角形的定義中必要的θ25Please respect copyright.PENANAHGjgNMtmdI
三角比經常出現的陷阱題25Please respect copyright.PENANAO2pdarKIbU
25Please respect copyright.PENANARe3YeoP797
第二課 俐落導出餘弦定理公式25Please respect copyright.PENANANcWc5yu4Ci
用三角比可以做的事25Please respect copyright.PENANAqRvmLiaOOC
導出餘弦定理①事前準備25Please respect copyright.PENANASk4AQ2qKaH
導出餘弦定理②成立公式、解開25Please respect copyright.PENANAZz2NEYWtik
導出餘弦定理③證明sin2θ+ cos2θ= 125Please respect copyright.PENANANwbZQbBBLy
導出餘弦定理④完成25Please respect copyright.PENANAF9PyRkkx1f
餘弦定理與畢氏定理的關係25Please respect copyright.PENANA2eCeyfIS6X
25Please respect copyright.PENANAJAUn9HiPmb
第三課 學習最後的分析工具「三角函數」!25Please respect copyright.PENANAMyrKJU928k
三角函數只是將θ與y的關係圖像化25Please respect copyright.PENANAvgFDfLTTNp
25Please respect copyright.PENANArtqWVSVjgj
第五天 特別課程①:幾何的最終武器「向量」!25Please respect copyright.PENANAC9YvY2t1OL
第一課 偉大的「向量」25Please respect copyright.PENANApxcRwGHaOy
用代數解幾何問題!?25Please respect copyright.PENANAWR4MysBkDg
「短短數行」就能證明餘弦定理25Please respect copyright.PENANAJEgFe2uG3r
25Please respect copyright.PENANACPS5wDU57o
第二課 了解「向量」的超嶄新概念25Please respect copyright.PENANAb6FMYBMBvX
向量是集結兩種資訊的「特殊容器」25Please respect copyright.PENANAiL3QoX9pc5
眾所熟知的「純量」25Please respect copyright.PENANAJVJpgAVF9X
數據時代的主角「張量」25Please respect copyright.PENANAD5Y9lx1sWb
為什麼我們需要向量?25Please respect copyright.PENANAUWtweerFfp
25Please respect copyright.PENANATyjfvmjSGt
第三課 「向量」是用箭頭當作記號唷25Please respect copyright.PENANALcyb1qUNyc
向量的書寫規則25Please respect copyright.PENANADTtnbzPGSe
張量的畫法25Please respect copyright.PENANA1VmPotXGe5
試著把向量畫成圖25Please respect copyright.PENANAfKF4mxIECj
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第四課 「向量」的計算超簡單!25Please respect copyright.PENANAkcVp4iPZw9
來算算向量的加法吧25Please respect copyright.PENANAvIIqVFdjqY
也來算算向量的減法25Please respect copyright.PENANApXjwM4m1mU
試著分解向量吧25Please respect copyright.PENANAo5vYloKiPb
試著挑戰向量的乘法25Please respect copyright.PENANAN2g3vDQsxg
25Please respect copyright.PENANADYzqV2q6wg
第五課 靠「向量」秒殺餘弦定理!25Please respect copyright.PENANAUUrijap7X7
用向量瞬間導出餘弦定理!25Please respect copyright.PENANApiJDJTODX2
不論幾次元都能處理的向量25Please respect copyright.PENANAiajWVM7Thx
Column少年來了!(前篇)25Please respect copyright.PENANAEYc7QwITdg
25Please respect copyright.PENANARE604v235w
第6天 特別課程②:用「微積分」預測未來!25Please respect copyright.PENANA7uvgxd0p4s
第一課 人類的寶物!了解微分積分25Please respect copyright.PENANARXFkYS878W
微分積分與函數的關係25Please respect copyright.PENANAl393MBfftG
今天的主題是「三角形面積」25Please respect copyright.PENANAecAi7Q4TjM
牛頓VS萊布尼茲的仁義之戰25Please respect copyright.PENANAwNr89Lxhv7
怎麼區分最合適?25Please respect copyright.PENANAzWikV0mMSC
用微積分計算三角形的面積!25Please respect copyright.PENANAWqkFbFAn7n
來認識微分積分的符號25Please respect copyright.PENANA16Vg3M1QmP
Column少年來了!(後篇)25Please respect copyright.PENANAEW6Qwwxlvf
25Please respect copyright.PENANAtCyLzXR9gx
第二課 用Excel預測未來!25Please respect copyright.PENANAjj0k0bPgzM
現代人,用Excel就能預測未來25Please respect copyright.PENANAjA35rTyxkS
掌握Excel的使用方法!25Please respect copyright.PENANA55K0E5ouSJ
「數學家」、「AI」、「統計學家」的差別25Please respect copyright.PENANAeZiGu9ZxAx
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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》
25Please respect copyright.PENANAGFoqAchd0m
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。
25Please respect copyright.PENANAA1WdHWF4ll
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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【創挑出處】
https://www.penana.com/article/165070425Please respect copyright.PENANARUfWVjRiDu