【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125Please respect copyright.PENANAYi5ZyRSSiF
登場人物介紹125Please respect copyright.PENANA1d0kKJCKZa
125Please respect copyright.PENANAVhdGF2nTAo
第一天 數學的樂趣在哪裡?125Please respect copyright.PENANAEqOYpJd3Ev
第一課 其實並不可怕的高中數學125Please respect copyright.PENANARIow8lJz2Y
好想學真正實用的數學!125Please respect copyright.PENANAfOHjJ2LmnH
高中數學比國中數學還簡單!?125Please respect copyright.PENANA5lhC7MXeMK
125Please respect copyright.PENANAXQyHr6Bq6I
第二課 超精簡的創新數學課!125Please respect copyright.PENANA93sHiy6hAY
果斷刪去八成教科書內容!125Please respect copyright.PENANA8AQDwCG40T
世界首創!「西成流」數學分類法125Please respect copyright.PENANAZss4Ek0h7u
高中數學中最輕鬆的是「代數」125Please respect copyright.PENANABMxlSWdtp8
高中數學的顛峰是「微分積分」125Please respect copyright.PENANAUITpaBO83N
超好用的工具「餘弦定理」125Please respect copyright.PENANAUYFjEF6E8J
真正的幾何大魔王是「向量」125Please respect copyright.PENANAC7YGHMw6vM
Column文組無法理解數學的理由125Please respect copyright.PENANAWSZdx88LwT
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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!!125Please respect copyright.PENANADSiO2QCEfb
第一課 速速學會統計學基礎125Please respect copyright.PENANAbytTk8x6Vc
數據處理的3大必備條件125Please respect copyright.PENANAnlFz5H1WkM
為什麼增加個數很好用?125Please respect copyright.PENANAsEs32msBvo
「排列組合」是指什麼?125Please respect copyright.PENANACkZkvs4bce
看離散程度的「標準差」125Please respect copyright.PENANALAZBvSFLRK
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第二課 記住「數列相加」的方法125Please respect copyright.PENANADiU3yBCBkh
天才高斯少年發現的「倒序相加」125Please respect copyright.PENANAzDEaNCYZLA
超好用!任何等差數列都能用125Please respect copyright.PENANAQFrKXyUBfj
嚴禁直接死背公式!125Please respect copyright.PENANAXlceMdDX97
導出等差數列和的公式125Please respect copyright.PENANAO9UMydrNSa
豐臣秀吉被擺了一道!數學變黃金的故事125Please respect copyright.PENANAGO2lwxGjSC
等比數列是「相乘後錯位相減」125Please respect copyright.PENANAagIBgQ1zh9
導出等比數列和的公式125Please respect copyright.PENANAvSoWtH3bbm
先知道處理數列和的符號!125Please respect copyright.PENANA1FU6gVhhyx
Column把數學記號當作是念魔咒125Please respect copyright.PENANAHmYJ9FiBlG
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第三課 記住「排列組合法」125Please respect copyright.PENANANalRa29il3
從賽馬了解「排列」與「組合」125Please respect copyright.PENANASgPfGnZqRA
Step①了解階乘的計算方法125Please respect copyright.PENANAbJctOwFq5E
Step②了解排列的計算方法125Please respect copyright.PENANA2ctmGPKxRg
Step③了解組合的計算方法125Please respect copyright.PENANArCOt7dYfIv
了解「排列」與「組合」的式子125Please respect copyright.PENANAt4xo69zfeT
「排列」和「組合」的符號是「P」和「C」125Please respect copyright.PENANA9dhahkuPld
運用「排列」和「組合」排班表125Please respect copyright.PENANAVmPPlkuBSl
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第四課 搞懂「離散值」和「標準差」125Please respect copyright.PENANA5q4ttnRsQh
資訊分析的基礎是找到「數據的規則」125Please respect copyright.PENANAVKwZC8VCPb
兩個步驟找出離散程度125Please respect copyright.PENANAQW9dWwjw9p
平均、分散、標準差的深~度關係125Please respect copyright.PENANAQ1A7gVu8Y0
平均、離散、標準差的記號125Please respect copyright.PENANARUyDsjz3WF
試著用Excel計算標準差125Please respect copyright.PENANAJYVJEGzgeK
也把「偏差值」的計算公式記起來125Please respect copyright.PENANA4SmcFycSPc
附註內容①深奧的平均世界125Please respect copyright.PENANAs3TXDMZ4ur
附註內容②平均值、中位數、眾數125Please respect copyright.PENANAO9s3lOBJNp
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第三天 超爽快!掌握高中文組數學的「分析」!125Please respect copyright.PENANAknouijGyCh
第一課 豁然開朗!函數的世界125Please respect copyright.PENANA1Iijj95qiQ
函數與方程式的差別?125Please respect copyright.PENANAtbztLZCpRF
高中數學的4種函數125Please respect copyright.PENANA9RNbnkj2Ve
Column少年西成的理科腦情書125Please respect copyright.PENANAAwNlEUkb2X
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第二課 來複習二次函數!125Please respect copyright.PENANAKBLo88sktX
速速複習!二次方程式125Please respect copyright.PENANAwGCVRMA16p
畫出二次函數的圖形!125Please respect copyright.PENANACWoYvDOVEx
Column 物理學家是名偵探125Please respect copyright.PENANA7UlKrcex4Z
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第三課 指數函數超好用!125Please respect copyright.PENANA145Bhzx8wR
記住指數函數的相關用語125Please respect copyright.PENANAwrTypPziGP
基本規則①乘冪相乘時,指數相加125Please respect copyright.PENANA4ddUmldwKc
基本規則②乘冪再乘冪時,指數相乘125Please respect copyright.PENANAv50jg1T4iC
基本規則③乘冪相除時,指數相減125Please respect copyright.PENANAFyOZJTrS2k
指數是負數時會怎樣?125Please respect copyright.PENANA2x07xOosV5
指數是「0」的時候會怎樣?125Please respect copyright.PENANAHsqOlHPe0y
根號可以轉換成指數運算125Please respect copyright.PENANAq8j7XvfSBq
統整指數運算的處理方式125Please respect copyright.PENANAhlvKVTwbnU
將指數函數做成圖形看看!125Please respect copyright.PENANA0WtTpSyahd
順便來談談「對數函數」的內容125Please respect copyright.PENANAHhyvAG8GWm
天文數字也可以處理的對數函數125Please respect copyright.PENANAWpMnoV2gNh
指數函數與音樂的深~度關係125Please respect copyright.PENANAUsNBNJmgnC
用iPhone計算指數函數的方法125Please respect copyright.PENANAcYCaMyghom
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第四天 秒懂高中數學的「幾何」精髓!125Please respect copyright.PENANAFKYFae169R
第一課 不再霧煞煞的「三角比」125Please respect copyright.PENANACsvXZivpHA
以餘弦定理搞懂三角形125Please respect copyright.PENANAWXk3dR6ysw
畫三角形的「西成流」作法125Please respect copyright.PENANAgUdfc0mSXC
sin、cos、tan是指「邊長比」125Please respect copyright.PENANADNI997pcyb
忘掉tan的存在吧!125Please respect copyright.PENANAK5MV3Wcqkc
直角三角形的定義中必要的θ125Please respect copyright.PENANAjm9TIv91OU
三角比經常出現的陷阱題125Please respect copyright.PENANAe13bBeXWsp
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第二課 俐落導出餘弦定理公式125Please respect copyright.PENANAjumXcOUU9l
用三角比可以做的事125Please respect copyright.PENANAOv2bp6VKRx
導出餘弦定理①事前準備125Please respect copyright.PENANAifsdPZ831S
導出餘弦定理②成立公式、解開125Please respect copyright.PENANAcNJRtS3lot
導出餘弦定理③證明sin2θ+ cos2θ= 1125Please respect copyright.PENANAtIDqYNMdLR
導出餘弦定理④完成125Please respect copyright.PENANAzP3HGJo4O3
餘弦定理與畢氏定理的關係125Please respect copyright.PENANAZvTmIFE07W
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第三課 學習最後的分析工具「三角函數」!125Please respect copyright.PENANA9SMbjFckDP
三角函數只是將θ與y的關係圖像化125Please respect copyright.PENANAebXzC1c2he
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第五天 特別課程①:幾何的最終武器「向量」!125Please respect copyright.PENANA30IlEpHloG
第一課 偉大的「向量」125Please respect copyright.PENANAzmmZsMSz7A
用代數解幾何問題!?125Please respect copyright.PENANA31Qm2fAHsH
「短短數行」就能證明餘弦定理125Please respect copyright.PENANAs2fdJj1zTE
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第二課 了解「向量」的超嶄新概念125Please respect copyright.PENANAIVUD7PjUQ3
向量是集結兩種資訊的「特殊容器」125Please respect copyright.PENANAiLQIHi2JZv
眾所熟知的「純量」125Please respect copyright.PENANA1XmJ5OhcnG
數據時代的主角「張量」125Please respect copyright.PENANAcBvo36eHpx
為什麼我們需要向量?125Please respect copyright.PENANAPvvGfRw9VJ
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第三課 「向量」是用箭頭當作記號唷125Please respect copyright.PENANANw9SBUnPvE
向量的書寫規則125Please respect copyright.PENANAVI7xOFImma
張量的畫法125Please respect copyright.PENANAvTRk6Ut9wf
試著把向量畫成圖125Please respect copyright.PENANAUKmcLc4tcU
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第四課 「向量」的計算超簡單!125Please respect copyright.PENANAvmMHax60P1
來算算向量的加法吧125Please respect copyright.PENANA4qRSQaNrTA
也來算算向量的減法125Please respect copyright.PENANAUYpWMM2fGG
試著分解向量吧125Please respect copyright.PENANAMe4TpCLvIJ
試著挑戰向量的乘法125Please respect copyright.PENANAgmPaDFpuNQ
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第五課 靠「向量」秒殺餘弦定理!125Please respect copyright.PENANALiGioWjrRR
用向量瞬間導出餘弦定理!125Please respect copyright.PENANA8mW6JC2FLQ
不論幾次元都能處理的向量125Please respect copyright.PENANA5zUfCNXp0i
Column少年來了!(前篇)125Please respect copyright.PENANA3bAK4j7aOO
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第6天 特別課程②:用「微積分」預測未來!125Please respect copyright.PENANAAIKyDk3UHy
第一課 人類的寶物!了解微分積分125Please respect copyright.PENANAvkVYGrKPJb
微分積分與函數的關係125Please respect copyright.PENANAPuxYxBFLft
今天的主題是「三角形面積」125Please respect copyright.PENANAGFGBejIKYU
牛頓VS萊布尼茲的仁義之戰125Please respect copyright.PENANA4FglPyreFA
怎麼區分最合適?125Please respect copyright.PENANANMruTD7u3V
用微積分計算三角形的面積!125Please respect copyright.PENANA7CTIs2w3VQ
來認識微分積分的符號125Please respect copyright.PENANAQhqXzKswFl
Column少年來了!(後篇)125Please respect copyright.PENANAzAHYSbRmEu
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第二課 用Excel預測未來!125Please respect copyright.PENANAuY2v3IAZZY
現代人,用Excel就能預測未來125Please respect copyright.PENANA8W8wtKpnvo
掌握Excel的使用方法!125Please respect copyright.PENANAPh8GdJT5dX
「數學家」、「AI」、「統計學家」的差別125Please respect copyright.PENANAdHtBkuwuG4
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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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