【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197Please respect copyright.PENANAtQzH5uXZsx
登場人物介紹197Please respect copyright.PENANA2VdkFmRNjQ
197Please respect copyright.PENANAMFWxiX6fW8
第一天 數學的樂趣在哪裡?197Please respect copyright.PENANA8BKcqv2KqG
第一課 其實並不可怕的高中數學197Please respect copyright.PENANAaEx8Lyjmh4
好想學真正實用的數學!197Please respect copyright.PENANAFNh1MecD0W
高中數學比國中數學還簡單!?197Please respect copyright.PENANAOFkbvsMsQ2
197Please respect copyright.PENANAB45XA54tI9
第二課 超精簡的創新數學課!197Please respect copyright.PENANAzVMlxWy3Uf
果斷刪去八成教科書內容!197Please respect copyright.PENANAUlSQFSxmkk
世界首創!「西成流」數學分類法197Please respect copyright.PENANAaWhvoX17Kt
高中數學中最輕鬆的是「代數」197Please respect copyright.PENANAvRPWJ81a7c
高中數學的顛峰是「微分積分」197Please respect copyright.PENANAtypxP7NWdW
超好用的工具「餘弦定理」197Please respect copyright.PENANAyFZeIqfE5t
真正的幾何大魔王是「向量」197Please respect copyright.PENANAeJYSkpOCTq
Column文組無法理解數學的理由197Please respect copyright.PENANAVKUvgm8ehB
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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!!197Please respect copyright.PENANAY7GBZS8bgJ
第一課 速速學會統計學基礎197Please respect copyright.PENANANktPchjazn
數據處理的3大必備條件197Please respect copyright.PENANAlmac9IN8Nd
為什麼增加個數很好用?197Please respect copyright.PENANAdOl6o3n2WO
「排列組合」是指什麼?197Please respect copyright.PENANAc4nInnzCpe
看離散程度的「標準差」197Please respect copyright.PENANA0y9ov5JxJg
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第二課 記住「數列相加」的方法197Please respect copyright.PENANA13ejVVi5u1
天才高斯少年發現的「倒序相加」197Please respect copyright.PENANAeWnR8z8ivC
超好用!任何等差數列都能用197Please respect copyright.PENANAj5gPvnXqgv
嚴禁直接死背公式!197Please respect copyright.PENANANVwG7ZRyoE
導出等差數列和的公式197Please respect copyright.PENANAOmu0X2EEep
豐臣秀吉被擺了一道!數學變黃金的故事197Please respect copyright.PENANAlJlDOCEKXx
等比數列是「相乘後錯位相減」197Please respect copyright.PENANAWYLfL1AaiO
導出等比數列和的公式197Please respect copyright.PENANAwhU1LjptcZ
先知道處理數列和的符號!197Please respect copyright.PENANAHnugAvWlz4
Column把數學記號當作是念魔咒197Please respect copyright.PENANAk4q3iBY9g0
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第三課 記住「排列組合法」197Please respect copyright.PENANAehYg25u4dn
從賽馬了解「排列」與「組合」197Please respect copyright.PENANA8pe5B9ORO2
Step①了解階乘的計算方法197Please respect copyright.PENANAOGdRrooYLI
Step②了解排列的計算方法197Please respect copyright.PENANAGyCSS1T1rs
Step③了解組合的計算方法197Please respect copyright.PENANAEz2WidVCt4
了解「排列」與「組合」的式子197Please respect copyright.PENANAXfnPaxqoha
「排列」和「組合」的符號是「P」和「C」197Please respect copyright.PENANAGxpKExeS3S
運用「排列」和「組合」排班表197Please respect copyright.PENANAtweDk8q7j0
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第四課 搞懂「離散值」和「標準差」197Please respect copyright.PENANAdNIFL2T2a2
資訊分析的基礎是找到「數據的規則」197Please respect copyright.PENANA3phmis6dbN
兩個步驟找出離散程度197Please respect copyright.PENANAWnJOmOLjaP
平均、分散、標準差的深~度關係197Please respect copyright.PENANAeTTHjFjOhc
平均、離散、標準差的記號197Please respect copyright.PENANAFU4CIQjPb6
試著用Excel計算標準差197Please respect copyright.PENANAssUegeVWfF
也把「偏差值」的計算公式記起來197Please respect copyright.PENANAFRqr9Gcjsa
附註內容①深奧的平均世界197Please respect copyright.PENANA4j9xhpVuZn
附註內容②平均值、中位數、眾數197Please respect copyright.PENANAy8BeNXCnJ0
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第三天 超爽快!掌握高中文組數學的「分析」!197Please respect copyright.PENANAj3jRkm814W
第一課 豁然開朗!函數的世界197Please respect copyright.PENANAHx2dWSH69L
函數與方程式的差別?197Please respect copyright.PENANA4M9RA6kTLp
高中數學的4種函數197Please respect copyright.PENANArgUz2y68oS
Column少年西成的理科腦情書197Please respect copyright.PENANANhjytUSroh
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第二課 來複習二次函數!197Please respect copyright.PENANARLg7EMyE9j
速速複習!二次方程式197Please respect copyright.PENANAIherFd1xCE
畫出二次函數的圖形!197Please respect copyright.PENANAo3nehgzSOt
Column 物理學家是名偵探197Please respect copyright.PENANAST9J442wKn
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第三課 指數函數超好用!197Please respect copyright.PENANAY37iy5SDuN
記住指數函數的相關用語197Please respect copyright.PENANA2jIZAN945j
基本規則①乘冪相乘時,指數相加197Please respect copyright.PENANA9eQ68pj4bp
基本規則②乘冪再乘冪時,指數相乘197Please respect copyright.PENANAi92if7QZVs
基本規則③乘冪相除時,指數相減197Please respect copyright.PENANA0uLcxFfArO
指數是負數時會怎樣?197Please respect copyright.PENANAFNfKw4s7Kz
指數是「0」的時候會怎樣?197Please respect copyright.PENANAn7e9WC0I4Y
根號可以轉換成指數運算197Please respect copyright.PENANAkoxmIxWrDa
統整指數運算的處理方式197Please respect copyright.PENANAYQIPnjIEy4
將指數函數做成圖形看看!197Please respect copyright.PENANAfBpGJbQo34
順便來談談「對數函數」的內容197Please respect copyright.PENANAPUOeQYcXGY
天文數字也可以處理的對數函數197Please respect copyright.PENANA0mLHnUsnWL
指數函數與音樂的深~度關係197Please respect copyright.PENANAiVWZztJwXq
用iPhone計算指數函數的方法197Please respect copyright.PENANAIN3BokoTsV
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第四天 秒懂高中數學的「幾何」精髓!197Please respect copyright.PENANARBssbLEUoi
第一課 不再霧煞煞的「三角比」197Please respect copyright.PENANAGYLJdkl6jl
以餘弦定理搞懂三角形197Please respect copyright.PENANA27GR0aTpBE
畫三角形的「西成流」作法197Please respect copyright.PENANAM1WexfG8NT
sin、cos、tan是指「邊長比」197Please respect copyright.PENANAmdvlJKJU03
忘掉tan的存在吧!197Please respect copyright.PENANAhanb78uNGl
直角三角形的定義中必要的θ197Please respect copyright.PENANAty8zfNlcn3
三角比經常出現的陷阱題197Please respect copyright.PENANAaTyRDSQ9cd
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第二課 俐落導出餘弦定理公式197Please respect copyright.PENANAzjtYqiCi9k
用三角比可以做的事197Please respect copyright.PENANAXngaC0OC04
導出餘弦定理①事前準備197Please respect copyright.PENANAezioTBfYfi
導出餘弦定理②成立公式、解開197Please respect copyright.PENANAvIrM39toSX
導出餘弦定理③證明sin2θ+ cos2θ= 1197Please respect copyright.PENANA0taF5TsdY9
導出餘弦定理④完成197Please respect copyright.PENANAECiu1jiuUW
餘弦定理與畢氏定理的關係197Please respect copyright.PENANABoY0udHm5q
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第三課 學習最後的分析工具「三角函數」!197Please respect copyright.PENANAiPLfe5kBJp
三角函數只是將θ與y的關係圖像化197Please respect copyright.PENANAnHWzKhd3fZ
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第五天 特別課程①:幾何的最終武器「向量」!197Please respect copyright.PENANAMylo3m3lqA
第一課 偉大的「向量」197Please respect copyright.PENANAj6dlUIazAW
用代數解幾何問題!?197Please respect copyright.PENANA7K4NOmVDpV
「短短數行」就能證明餘弦定理197Please respect copyright.PENANAGvu3y0WnrR
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第二課 了解「向量」的超嶄新概念197Please respect copyright.PENANA6Y5avkX616
向量是集結兩種資訊的「特殊容器」197Please respect copyright.PENANACB9yIVjHSS
眾所熟知的「純量」197Please respect copyright.PENANAHR5O47XRug
數據時代的主角「張量」197Please respect copyright.PENANAN9NZK2RLu8
為什麼我們需要向量?197Please respect copyright.PENANALejfwv6UFF
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第三課 「向量」是用箭頭當作記號唷197Please respect copyright.PENANA7336YEm8Au
向量的書寫規則197Please respect copyright.PENANAvch3QyuFzI
張量的畫法197Please respect copyright.PENANAljfE3x4TBY
試著把向量畫成圖197Please respect copyright.PENANAExu4l8x7Vm
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第四課 「向量」的計算超簡單!197Please respect copyright.PENANAu7jsOKt3XR
來算算向量的加法吧197Please respect copyright.PENANAT2RIvwHHVH
也來算算向量的減法197Please respect copyright.PENANA3C4pBtnbkg
試著分解向量吧197Please respect copyright.PENANAx61wLcSfaQ
試著挑戰向量的乘法197Please respect copyright.PENANAvvLBJlGejF
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第五課 靠「向量」秒殺餘弦定理!197Please respect copyright.PENANAU6Ti96V25i
用向量瞬間導出餘弦定理!197Please respect copyright.PENANApZnHbKplY5
不論幾次元都能處理的向量197Please respect copyright.PENANAU1YiIkeuTN
Column少年來了!(前篇)197Please respect copyright.PENANAlWxVhTjeYr
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第6天 特別課程②:用「微積分」預測未來!197Please respect copyright.PENANAvqKDgJ9mhS
第一課 人類的寶物!了解微分積分197Please respect copyright.PENANANvD4efqXjR
微分積分與函數的關係197Please respect copyright.PENANAxR6Usd7mUq
今天的主題是「三角形面積」197Please respect copyright.PENANAKuFyQcPtm6
牛頓VS萊布尼茲的仁義之戰197Please respect copyright.PENANAEE1tRb6e5X
怎麼區分最合適?197Please respect copyright.PENANAgulATV8ICa
用微積分計算三角形的面積!197Please respect copyright.PENANAabk6QLMC4W
來認識微分積分的符號197Please respect copyright.PENANAC8avDujeed
Column少年來了!(後篇)197Please respect copyright.PENANAeyotI9dkKd
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第二課 用Excel預測未來!197Please respect copyright.PENANAcWxZ3bg1Uu
現代人,用Excel就能預測未來197Please respect copyright.PENANAg8uVTHSjCU
掌握Excel的使用方法!197Please respect copyright.PENANASqkjt5fe66
「數學家」、「AI」、「統計學家」的差別197Please respect copyright.PENANADNPx8CARFz
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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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