【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181Please respect copyright.PENANAjLOXqO9qWG
登場人物介紹181Please respect copyright.PENANA91VyEr6lgy
181Please respect copyright.PENANAk36T0HK5YK
第一天 數學的樂趣在哪裡?181Please respect copyright.PENANA0ERXI84A4r
第一課 其實並不可怕的高中數學181Please respect copyright.PENANAml6T3DWjp9
好想學真正實用的數學!181Please respect copyright.PENANAdwciE8X8o4
高中數學比國中數學還簡單!?181Please respect copyright.PENANAGwcUElAVwy
181Please respect copyright.PENANAc1WfRA3DYJ
第二課 超精簡的創新數學課!181Please respect copyright.PENANAgX0LVTTjLA
果斷刪去八成教科書內容!181Please respect copyright.PENANAOhvprFBH9B
世界首創!「西成流」數學分類法181Please respect copyright.PENANAsH3OC3P6Jt
高中數學中最輕鬆的是「代數」181Please respect copyright.PENANAUTWBpfMWMP
高中數學的顛峰是「微分積分」181Please respect copyright.PENANAiFjchMxj72
超好用的工具「餘弦定理」181Please respect copyright.PENANAyXEhA4aCmD
真正的幾何大魔王是「向量」181Please respect copyright.PENANAkHn8A8EibD
Column文組無法理解數學的理由181Please respect copyright.PENANA1KGz0NNcRR
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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!!181Please respect copyright.PENANACzYsI0Hlpt
第一課 速速學會統計學基礎181Please respect copyright.PENANADG3bAYsymd
數據處理的3大必備條件181Please respect copyright.PENANAUUqjjY5F6Z
為什麼增加個數很好用?181Please respect copyright.PENANAkP9OewoqUO
「排列組合」是指什麼?181Please respect copyright.PENANAt421x67TwK
看離散程度的「標準差」181Please respect copyright.PENANAyH1BzSRd2Y
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第二課 記住「數列相加」的方法181Please respect copyright.PENANABWlR9HBHIK
天才高斯少年發現的「倒序相加」181Please respect copyright.PENANAkddUuUEr8Y
超好用!任何等差數列都能用181Please respect copyright.PENANA89oiiJ0poU
嚴禁直接死背公式!181Please respect copyright.PENANARIgwNy0to0
導出等差數列和的公式181Please respect copyright.PENANA0Xn8cMuSII
豐臣秀吉被擺了一道!數學變黃金的故事181Please respect copyright.PENANAOPWfuwi80W
等比數列是「相乘後錯位相減」181Please respect copyright.PENANA6x5peJbRkx
導出等比數列和的公式181Please respect copyright.PENANAYuue3fC9uN
先知道處理數列和的符號!181Please respect copyright.PENANA9TJVk0mOEH
Column把數學記號當作是念魔咒181Please respect copyright.PENANAgwmYTJMARp
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第三課 記住「排列組合法」181Please respect copyright.PENANAlTMjlAAFVf
從賽馬了解「排列」與「組合」181Please respect copyright.PENANAATZ22dvJwr
Step①了解階乘的計算方法181Please respect copyright.PENANAVaLGRk2FKt
Step②了解排列的計算方法181Please respect copyright.PENANAwJOtQanHar
Step③了解組合的計算方法181Please respect copyright.PENANAtJpyKczxM4
了解「排列」與「組合」的式子181Please respect copyright.PENANAft0AldSPxq
「排列」和「組合」的符號是「P」和「C」181Please respect copyright.PENANAqPBnsnUZbl
運用「排列」和「組合」排班表181Please respect copyright.PENANAx1X0bIXVyw
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第四課 搞懂「離散值」和「標準差」181Please respect copyright.PENANAcvSOEnTzdW
資訊分析的基礎是找到「數據的規則」181Please respect copyright.PENANALDvyeOXUnn
兩個步驟找出離散程度181Please respect copyright.PENANANJHlzhxp7s
平均、分散、標準差的深~度關係181Please respect copyright.PENANAdXJcF18xvX
平均、離散、標準差的記號181Please respect copyright.PENANAsvMpwBMafT
試著用Excel計算標準差181Please respect copyright.PENANALiwnO6KXdz
也把「偏差值」的計算公式記起來181Please respect copyright.PENANArz56Vzrspo
附註內容①深奧的平均世界181Please respect copyright.PENANAk2RmLbNLLE
附註內容②平均值、中位數、眾數181Please respect copyright.PENANA3SAX8npJz3
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第三天 超爽快!掌握高中文組數學的「分析」!181Please respect copyright.PENANA8Hy5GZYZME
第一課 豁然開朗!函數的世界181Please respect copyright.PENANAAFFeBUWCYG
函數與方程式的差別?181Please respect copyright.PENANAEnHLnwtQwC
高中數學的4種函數181Please respect copyright.PENANAKbmw6agEEh
Column少年西成的理科腦情書181Please respect copyright.PENANAGSKFgr1KXl
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第二課 來複習二次函數!181Please respect copyright.PENANAwMSH0rXwAE
速速複習!二次方程式181Please respect copyright.PENANAIFEIXTVNZl
畫出二次函數的圖形!181Please respect copyright.PENANAXz8bW5gKPR
Column 物理學家是名偵探181Please respect copyright.PENANAJ9wwzYyRV6
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第三課 指數函數超好用!181Please respect copyright.PENANArC8Gdv8cH1
記住指數函數的相關用語181Please respect copyright.PENANAgaB7rGDqt6
基本規則①乘冪相乘時,指數相加181Please respect copyright.PENANA8CPX4IvMZh
基本規則②乘冪再乘冪時,指數相乘181Please respect copyright.PENANAwjHed9ELNp
基本規則③乘冪相除時,指數相減181Please respect copyright.PENANAkgino6mjyb
指數是負數時會怎樣?181Please respect copyright.PENANAEag5bbSs8m
指數是「0」的時候會怎樣?181Please respect copyright.PENANA2tKvbC8wPH
根號可以轉換成指數運算181Please respect copyright.PENANAG0wEd2iJqE
統整指數運算的處理方式181Please respect copyright.PENANA2eZg323izk
將指數函數做成圖形看看!181Please respect copyright.PENANAhUsU6gdqh8
順便來談談「對數函數」的內容181Please respect copyright.PENANA0E3PVrLJct
天文數字也可以處理的對數函數181Please respect copyright.PENANAZih4UaHPHi
指數函數與音樂的深~度關係181Please respect copyright.PENANAImRg8BzUj0
用iPhone計算指數函數的方法181Please respect copyright.PENANAFcv0kzksQz
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第四天 秒懂高中數學的「幾何」精髓!181Please respect copyright.PENANAo3jhtujHzP
第一課 不再霧煞煞的「三角比」181Please respect copyright.PENANAsRB6SGXgbI
以餘弦定理搞懂三角形181Please respect copyright.PENANA1crEQp3DAG
畫三角形的「西成流」作法181Please respect copyright.PENANAkmp087dOs4
sin、cos、tan是指「邊長比」181Please respect copyright.PENANAtYkDmlRfYi
忘掉tan的存在吧!181Please respect copyright.PENANATi3oWMkNFG
直角三角形的定義中必要的θ181Please respect copyright.PENANAJ8nWrvDzWL
三角比經常出現的陷阱題181Please respect copyright.PENANA0ZZbcmCyXs
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第二課 俐落導出餘弦定理公式181Please respect copyright.PENANAQpwRVFACFk
用三角比可以做的事181Please respect copyright.PENANA1IqYWZ1D37
導出餘弦定理①事前準備181Please respect copyright.PENANA3pkz6jwRLA
導出餘弦定理②成立公式、解開181Please respect copyright.PENANAsBwsYBzkyl
導出餘弦定理③證明sin2θ+ cos2θ= 1181Please respect copyright.PENANAzjsdqgZe3H
導出餘弦定理④完成181Please respect copyright.PENANARDPGptBCJS
餘弦定理與畢氏定理的關係181Please respect copyright.PENANA8OhqQAaVwI
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第三課 學習最後的分析工具「三角函數」!181Please respect copyright.PENANAuUcHobqYYY
三角函數只是將θ與y的關係圖像化181Please respect copyright.PENANANxqhwtfE38
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第五天 特別課程①:幾何的最終武器「向量」!181Please respect copyright.PENANA24lYThb1Fv
第一課 偉大的「向量」181Please respect copyright.PENANAjMoLZSbhlq
用代數解幾何問題!?181Please respect copyright.PENANAZeiWcHKIm2
「短短數行」就能證明餘弦定理181Please respect copyright.PENANAFzgR5fBUDh
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第二課 了解「向量」的超嶄新概念181Please respect copyright.PENANAgtpcTkokNb
向量是集結兩種資訊的「特殊容器」181Please respect copyright.PENANAZ88d6rlRMk
眾所熟知的「純量」181Please respect copyright.PENANAM7geRLBWCB
數據時代的主角「張量」181Please respect copyright.PENANAaAg9cuYW2C
為什麼我們需要向量?181Please respect copyright.PENANA7XV4MDD6We
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第三課 「向量」是用箭頭當作記號唷181Please respect copyright.PENANADWxAMu1XbG
向量的書寫規則181Please respect copyright.PENANA8RsMCz6usq
張量的畫法181Please respect copyright.PENANAV7qvUJ72eV
試著把向量畫成圖181Please respect copyright.PENANAPMZ4bGLPiT
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第四課 「向量」的計算超簡單!181Please respect copyright.PENANA6GztbC77Ps
來算算向量的加法吧181Please respect copyright.PENANAnDbUMtknI3
也來算算向量的減法181Please respect copyright.PENANAVyTIyYTen0
試著分解向量吧181Please respect copyright.PENANAGmqoSl7x6I
試著挑戰向量的乘法181Please respect copyright.PENANA5zz78gyWih
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第五課 靠「向量」秒殺餘弦定理!181Please respect copyright.PENANAPP4xs5taaV
用向量瞬間導出餘弦定理!181Please respect copyright.PENANAEU1UJMJeyY
不論幾次元都能處理的向量181Please respect copyright.PENANAhSjg8ZktfG
Column少年來了!(前篇)181Please respect copyright.PENANALsVQuN89Ur
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第6天 特別課程②:用「微積分」預測未來!181Please respect copyright.PENANARcSHOVs9wh
第一課 人類的寶物!了解微分積分181Please respect copyright.PENANAsutLaG2F4f
微分積分與函數的關係181Please respect copyright.PENANAtlCH6tYGHG
今天的主題是「三角形面積」181Please respect copyright.PENANA3aVX0dBIWD
牛頓VS萊布尼茲的仁義之戰181Please respect copyright.PENANAVkgEPh3eiG
怎麼區分最合適?181Please respect copyright.PENANAakvUbqZjKK
用微積分計算三角形的面積!181Please respect copyright.PENANAwcys3BjE9l
來認識微分積分的符號181Please respect copyright.PENANAyp1E6YnfJm
Column少年來了!(後篇)181Please respect copyright.PENANAHEbr6lyt9a
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第二課 用Excel預測未來!181Please respect copyright.PENANALadZHIN4c3
現代人,用Excel就能預測未來181Please respect copyright.PENANA9ktBeTGLsT
掌握Excel的使用方法!181Please respect copyright.PENANAARjEhuxEX8
「數學家」、「AI」、「統計學家」的差別181Please respect copyright.PENANABF7tO2CRSe
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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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