【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183Please respect copyright.PENANAsLkGR1xv5Q
登場人物介紹183Please respect copyright.PENANAFwJahLtYaE
183Please respect copyright.PENANA2rsehzs8qV
第一天 數學的樂趣在哪裡?183Please respect copyright.PENANACLaXesoImG
第一課 其實並不可怕的高中數學183Please respect copyright.PENANATdVGTArUQ7
好想學真正實用的數學!183Please respect copyright.PENANAP251XEUfaW
高中數學比國中數學還簡單!?183Please respect copyright.PENANA4KwIEpCCXD
183Please respect copyright.PENANAKGlyxu5LNE
第二課 超精簡的創新數學課!183Please respect copyright.PENANAlnODU1A1Ut
果斷刪去八成教科書內容!183Please respect copyright.PENANARsHwqiKW1p
世界首創!「西成流」數學分類法183Please respect copyright.PENANAWiCZBu8YR6
高中數學中最輕鬆的是「代數」183Please respect copyright.PENANA1I5VDsOCIW
高中數學的顛峰是「微分積分」183Please respect copyright.PENANATwD7bjhILD
超好用的工具「餘弦定理」183Please respect copyright.PENANAkqt5tFxTLS
真正的幾何大魔王是「向量」183Please respect copyright.PENANAW1kUlO3gng
Column文組無法理解數學的理由183Please respect copyright.PENANAnvUEtPs1yA
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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!!183Please respect copyright.PENANATrEk8QMszv
第一課 速速學會統計學基礎183Please respect copyright.PENANAZe4RZ80oKF
數據處理的3大必備條件183Please respect copyright.PENANAdqUZnxyH6l
為什麼增加個數很好用?183Please respect copyright.PENANAOAgmqJuzMJ
「排列組合」是指什麼?183Please respect copyright.PENANAkpNcgh20j8
看離散程度的「標準差」183Please respect copyright.PENANA4PAjgLBAX3
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第二課 記住「數列相加」的方法183Please respect copyright.PENANArfTWROOqQe
天才高斯少年發現的「倒序相加」183Please respect copyright.PENANA9hUrw0y07C
超好用!任何等差數列都能用183Please respect copyright.PENANAeUB5U3hEWp
嚴禁直接死背公式!183Please respect copyright.PENANASq5ciIq06P
導出等差數列和的公式183Please respect copyright.PENANAfQJrmeUYAE
豐臣秀吉被擺了一道!數學變黃金的故事183Please respect copyright.PENANAIO0TwpcS5u
等比數列是「相乘後錯位相減」183Please respect copyright.PENANA0eVMe6DiRz
導出等比數列和的公式183Please respect copyright.PENANANqfcJCuLAy
先知道處理數列和的符號!183Please respect copyright.PENANAVVWgLsiVOO
Column把數學記號當作是念魔咒183Please respect copyright.PENANAtU0DEAceKX
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第三課 記住「排列組合法」183Please respect copyright.PENANAJizDPpOKEN
從賽馬了解「排列」與「組合」183Please respect copyright.PENANAAC2lEgaQVb
Step①了解階乘的計算方法183Please respect copyright.PENANA61sQFBYmve
Step②了解排列的計算方法183Please respect copyright.PENANAzRVlONErqM
Step③了解組合的計算方法183Please respect copyright.PENANAh6H6F447Op
了解「排列」與「組合」的式子183Please respect copyright.PENANAKZdP3c09B0
「排列」和「組合」的符號是「P」和「C」183Please respect copyright.PENANAUyXorcK12U
運用「排列」和「組合」排班表183Please respect copyright.PENANA2ad6AcP0LG
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第四課 搞懂「離散值」和「標準差」183Please respect copyright.PENANADXHk8FAa7x
資訊分析的基礎是找到「數據的規則」183Please respect copyright.PENANAPGWIAmo5BT
兩個步驟找出離散程度183Please respect copyright.PENANAfH0lKS9sYq
平均、分散、標準差的深~度關係183Please respect copyright.PENANAsGRxYYoG67
平均、離散、標準差的記號183Please respect copyright.PENANAON3FeLKyys
試著用Excel計算標準差183Please respect copyright.PENANAuABlSM03mb
也把「偏差值」的計算公式記起來183Please respect copyright.PENANACPGdZqVdji
附註內容①深奧的平均世界183Please respect copyright.PENANAKIl3D6IBmR
附註內容②平均值、中位數、眾數183Please respect copyright.PENANA66YJQZq6Jw
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第三天 超爽快!掌握高中文組數學的「分析」!183Please respect copyright.PENANAlBDYJCH2Gl
第一課 豁然開朗!函數的世界183Please respect copyright.PENANAHiTnO30uJ2
函數與方程式的差別?183Please respect copyright.PENANAy5zuoSkhBS
高中數學的4種函數183Please respect copyright.PENANAADdRqDcwDX
Column少年西成的理科腦情書183Please respect copyright.PENANAWhxvBKQwOl
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第二課 來複習二次函數!183Please respect copyright.PENANALASosNectv
速速複習!二次方程式183Please respect copyright.PENANAmi3UTwh2lI
畫出二次函數的圖形!183Please respect copyright.PENANAQTTIMIlrJD
Column 物理學家是名偵探183Please respect copyright.PENANAZt6VVRUDdY
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第三課 指數函數超好用!183Please respect copyright.PENANAgorJnpBY9G
記住指數函數的相關用語183Please respect copyright.PENANAXAMBmLQw3X
基本規則①乘冪相乘時,指數相加183Please respect copyright.PENANAF7bRZo1WVy
基本規則②乘冪再乘冪時,指數相乘183Please respect copyright.PENANA5N5nTHW38l
基本規則③乘冪相除時,指數相減183Please respect copyright.PENANAWevMTGjaRm
指數是負數時會怎樣?183Please respect copyright.PENANAvwYdrJ4bpb
指數是「0」的時候會怎樣?183Please respect copyright.PENANA8XuZfXZReq
根號可以轉換成指數運算183Please respect copyright.PENANAA2ZgplIjY6
統整指數運算的處理方式183Please respect copyright.PENANAvtizbZBjBO
將指數函數做成圖形看看!183Please respect copyright.PENANAsV8k8oycbn
順便來談談「對數函數」的內容183Please respect copyright.PENANAR2Gs6cXyaO
天文數字也可以處理的對數函數183Please respect copyright.PENANAnjCBXQi7v1
指數函數與音樂的深~度關係183Please respect copyright.PENANA3o6ZWKGnJN
用iPhone計算指數函數的方法183Please respect copyright.PENANAtgUJFBNGz2
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第四天 秒懂高中數學的「幾何」精髓!183Please respect copyright.PENANAddFh7gdCr9
第一課 不再霧煞煞的「三角比」183Please respect copyright.PENANAwivPe92noO
以餘弦定理搞懂三角形183Please respect copyright.PENANAtJ9EQjh3OS
畫三角形的「西成流」作法183Please respect copyright.PENANATJNCZ5VGE9
sin、cos、tan是指「邊長比」183Please respect copyright.PENANAuAb8FefjaN
忘掉tan的存在吧!183Please respect copyright.PENANAORp541eY7S
直角三角形的定義中必要的θ183Please respect copyright.PENANA5ohP23AHaL
三角比經常出現的陷阱題183Please respect copyright.PENANA9NI2lzcjwC
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第二課 俐落導出餘弦定理公式183Please respect copyright.PENANAi9VGb1Yyu5
用三角比可以做的事183Please respect copyright.PENANAncW5MujRuu
導出餘弦定理①事前準備183Please respect copyright.PENANAlA6hns42zG
導出餘弦定理②成立公式、解開183Please respect copyright.PENANAIjXuVy0neb
導出餘弦定理③證明sin2θ+ cos2θ= 1183Please respect copyright.PENANA0So1gfJJkm
導出餘弦定理④完成183Please respect copyright.PENANAUpW5ijy4sl
餘弦定理與畢氏定理的關係183Please respect copyright.PENANAV6z175QoYs
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第三課 學習最後的分析工具「三角函數」!183Please respect copyright.PENANAibhqo3yZjE
三角函數只是將θ與y的關係圖像化183Please respect copyright.PENANAWKYmxpLOXW
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第五天 特別課程①:幾何的最終武器「向量」!183Please respect copyright.PENANAb6BdqYQSfA
第一課 偉大的「向量」183Please respect copyright.PENANA8lLZFNkvOZ
用代數解幾何問題!?183Please respect copyright.PENANA5jdUmI4UVP
「短短數行」就能證明餘弦定理183Please respect copyright.PENANAQDc4KncH3c
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第二課 了解「向量」的超嶄新概念183Please respect copyright.PENANARmyRXm9lnx
向量是集結兩種資訊的「特殊容器」183Please respect copyright.PENANAzKHNLPJKji
眾所熟知的「純量」183Please respect copyright.PENANAji32BRqL3t
數據時代的主角「張量」183Please respect copyright.PENANAViUQqD41Cw
為什麼我們需要向量?183Please respect copyright.PENANA4mk54Oc85N
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第三課 「向量」是用箭頭當作記號唷183Please respect copyright.PENANAcv0VxdwT46
向量的書寫規則183Please respect copyright.PENANA0RnQpET5lm
張量的畫法183Please respect copyright.PENANA73TpV4rGNb
試著把向量畫成圖183Please respect copyright.PENANAjls8EYYnjz
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第四課 「向量」的計算超簡單!183Please respect copyright.PENANAXtKeCoeclY
來算算向量的加法吧183Please respect copyright.PENANA8QaUh4Oq4C
也來算算向量的減法183Please respect copyright.PENANA6Fzx0eRpE1
試著分解向量吧183Please respect copyright.PENANAVpPxJ9sNZ3
試著挑戰向量的乘法183Please respect copyright.PENANAGREysJHu5H
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第五課 靠「向量」秒殺餘弦定理!183Please respect copyright.PENANAF3gjDPch3i
用向量瞬間導出餘弦定理!183Please respect copyright.PENANAOOdPvJ3BbH
不論幾次元都能處理的向量183Please respect copyright.PENANApeGu6X5CAF
Column少年來了!(前篇)183Please respect copyright.PENANAoNmAv0xJGW
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第6天 特別課程②:用「微積分」預測未來!183Please respect copyright.PENANAlxj6qBnAns
第一課 人類的寶物!了解微分積分183Please respect copyright.PENANAM4EnpX56Gn
微分積分與函數的關係183Please respect copyright.PENANAO0wrghy7o1
今天的主題是「三角形面積」183Please respect copyright.PENANAXwwa2tjmC3
牛頓VS萊布尼茲的仁義之戰183Please respect copyright.PENANAOocCVp2xb3
怎麼區分最合適?183Please respect copyright.PENANA62SNreh8fV
用微積分計算三角形的面積!183Please respect copyright.PENANACTTHf4Vft3
來認識微分積分的符號183Please respect copyright.PENANAP3BDokKU19
Column少年來了!(後篇)183Please respect copyright.PENANAXp8vm8ZHJ7
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第二課 用Excel預測未來!183Please respect copyright.PENANAF9dh7MGlqE
現代人,用Excel就能預測未來183Please respect copyright.PENANAQcfyjnlM4Z
掌握Excel的使用方法!183Please respect copyright.PENANAkiQ65CnY46
「數學家」、「AI」、「統計學家」的差別183Please respect copyright.PENANA4S0vFEyz5X
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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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