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26Please respect copyright.PENANAbBL60wqqcD
登場人物介紹26Please respect copyright.PENANAz95WscGCkP
26Please respect copyright.PENANAJs7pqv2uLl
第一天 數學的樂趣在哪裡?26Please respect copyright.PENANAnx9mLV4kHE
第一課 其實並不可怕的高中數學26Please respect copyright.PENANALseW2QH08f
好想學真正實用的數學!26Please respect copyright.PENANAZcghy4aHS0
高中數學比國中數學還簡單!?26Please respect copyright.PENANAseVgQVFKuV
26Please respect copyright.PENANA9AyG8GLvGe
第二課 超精簡的創新數學課!26Please respect copyright.PENANAA7SDlwsobv
果斷刪去八成教科書內容!26Please respect copyright.PENANADUJao8wKRZ
世界首創!「西成流」數學分類法26Please respect copyright.PENANAvEA9557A2F
高中數學中最輕鬆的是「代數」26Please respect copyright.PENANAlNgxAC7CJ7
高中數學的顛峰是「微分積分」26Please respect copyright.PENANA99FAb4X3lz
超好用的工具「餘弦定理」26Please respect copyright.PENANAa3gvMRw2Wq
真正的幾何大魔王是「向量」26Please respect copyright.PENANAYjJHVlCHxE
Column文組無法理解數學的理由26Please respect copyright.PENANA9JcaBQhpQ7
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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!!26Please respect copyright.PENANAxhNh9KT2mo
第一課 速速學會統計學基礎26Please respect copyright.PENANAXznefuNDjz
數據處理的3大必備條件26Please respect copyright.PENANAYm606IBD97
為什麼增加個數很好用?26Please respect copyright.PENANAGmZ1MoShnb
「排列組合」是指什麼?26Please respect copyright.PENANApeHJw8FBUL
看離散程度的「標準差」26Please respect copyright.PENANA3oUMXfjxaZ
26Please respect copyright.PENANApoOiFc0plm
第二課 記住「數列相加」的方法26Please respect copyright.PENANAwarclXxxr9
天才高斯少年發現的「倒序相加」26Please respect copyright.PENANAqXMKhp7Qhh
超好用!任何等差數列都能用26Please respect copyright.PENANAeeUjRilfsr
嚴禁直接死背公式!26Please respect copyright.PENANAhNT1JhaKkh
導出等差數列和的公式26Please respect copyright.PENANA5o6MKiNrtc
豐臣秀吉被擺了一道!數學變黃金的故事26Please respect copyright.PENANA7p4M16N4T9
等比數列是「相乘後錯位相減」26Please respect copyright.PENANAR2vXsYinkI
導出等比數列和的公式26Please respect copyright.PENANAVWBctOtpPr
先知道處理數列和的符號!26Please respect copyright.PENANAuRX8khNDB2
Column把數學記號當作是念魔咒26Please respect copyright.PENANA0Cp4JyG0fv
26Please respect copyright.PENANAtxHztPAO67
第三課 記住「排列組合法」26Please respect copyright.PENANA3p8BSBoQ12
從賽馬了解「排列」與「組合」26Please respect copyright.PENANAwX2y38havV
Step①了解階乘的計算方法26Please respect copyright.PENANAVmkgU2aeZV
Step②了解排列的計算方法26Please respect copyright.PENANADQShK5AsBk
Step③了解組合的計算方法26Please respect copyright.PENANAWhxCBmSnVQ
了解「排列」與「組合」的式子26Please respect copyright.PENANA5LumDBLfXu
「排列」和「組合」的符號是「P」和「C」26Please respect copyright.PENANAlucntuCEXd
運用「排列」和「組合」排班表26Please respect copyright.PENANADv5HbQiA3v
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第四課 搞懂「離散值」和「標準差」26Please respect copyright.PENANA2miJmdGQba
資訊分析的基礎是找到「數據的規則」26Please respect copyright.PENANAGccHIGSjjJ
兩個步驟找出離散程度26Please respect copyright.PENANA0Z4SyQ8JvR
平均、分散、標準差的深~度關係26Please respect copyright.PENANA4pyJaaXDMy
平均、離散、標準差的記號26Please respect copyright.PENANAvfi2jHP1Dn
試著用Excel計算標準差26Please respect copyright.PENANAT8XXcDbnyk
也把「偏差值」的計算公式記起來26Please respect copyright.PENANASICZosQtD1
附註內容①深奧的平均世界26Please respect copyright.PENANAxmR5Uu8B9b
附註內容②平均值、中位數、眾數26Please respect copyright.PENANAwO8c3PM6wU
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第三天 超爽快!掌握高中文組數學的「分析」!26Please respect copyright.PENANAK93RVoGiDK
第一課 豁然開朗!函數的世界26Please respect copyright.PENANAJmLK93bXOn
函數與方程式的差別?26Please respect copyright.PENANArf0xA45TIR
高中數學的4種函數26Please respect copyright.PENANAbDmN9LVliy
Column少年西成的理科腦情書26Please respect copyright.PENANA1Xe5Q05gGw
26Please respect copyright.PENANANZsq5EiLYD
第二課 來複習二次函數!26Please respect copyright.PENANA6MShjkNLYN
速速複習!二次方程式26Please respect copyright.PENANA9TQlKk4TAt
畫出二次函數的圖形!26Please respect copyright.PENANARYQ18dEPuZ
Column 物理學家是名偵探26Please respect copyright.PENANAWgrWTWxaii
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第三課 指數函數超好用!26Please respect copyright.PENANAxwE7pNBngO
記住指數函數的相關用語26Please respect copyright.PENANAoX3IyB6e4p
基本規則①乘冪相乘時,指數相加26Please respect copyright.PENANAPfJ2JruqqR
基本規則②乘冪再乘冪時,指數相乘26Please respect copyright.PENANA4VSunven5D
基本規則③乘冪相除時,指數相減26Please respect copyright.PENANAGvWopquCte
指數是負數時會怎樣?26Please respect copyright.PENANAsVWeJDXlIB
指數是「0」的時候會怎樣?26Please respect copyright.PENANA26p9MO5BJN
根號可以轉換成指數運算26Please respect copyright.PENANAzdFhvblVIR
統整指數運算的處理方式26Please respect copyright.PENANA7VKd1vLQrh
將指數函數做成圖形看看!26Please respect copyright.PENANAqpcbg3WUFk
順便來談談「對數函數」的內容26Please respect copyright.PENANAjpJjMmrJFM
天文數字也可以處理的對數函數26Please respect copyright.PENANAKpkqeHjnfd
指數函數與音樂的深~度關係26Please respect copyright.PENANA2GYtV34hF6
用iPhone計算指數函數的方法26Please respect copyright.PENANAZPtBZNNip8
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第四天 秒懂高中數學的「幾何」精髓!26Please respect copyright.PENANAyiBFLunznE
第一課 不再霧煞煞的「三角比」26Please respect copyright.PENANAdNyai9lvyh
以餘弦定理搞懂三角形26Please respect copyright.PENANA6bFY0rUkDR
畫三角形的「西成流」作法26Please respect copyright.PENANANK1zNlgMVj
sin、cos、tan是指「邊長比」26Please respect copyright.PENANAGuJT9FUIKp
忘掉tan的存在吧!26Please respect copyright.PENANAzwlEUjUP6o
直角三角形的定義中必要的θ26Please respect copyright.PENANA1xe8ji3j7I
三角比經常出現的陷阱題26Please respect copyright.PENANA7dgEwMGPeP
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第二課 俐落導出餘弦定理公式26Please respect copyright.PENANA7lYaP02sUu
用三角比可以做的事26Please respect copyright.PENANALnMyHkeQ17
導出餘弦定理①事前準備26Please respect copyright.PENANALLpoiXKOKc
導出餘弦定理②成立公式、解開26Please respect copyright.PENANAZ2FBkixLpM
導出餘弦定理③證明sin2θ+ cos2θ= 126Please respect copyright.PENANAIGXiKrRKB7
導出餘弦定理④完成26Please respect copyright.PENANAjR42R71i1L
餘弦定理與畢氏定理的關係26Please respect copyright.PENANASUHbOKgT2O
26Please respect copyright.PENANA8NAugbVruM
第三課 學習最後的分析工具「三角函數」!26Please respect copyright.PENANAih8dkQ3nCy
三角函數只是將θ與y的關係圖像化26Please respect copyright.PENANAhWOVIiawyp
26Please respect copyright.PENANAAxfbCMzCfU
第五天 特別課程①:幾何的最終武器「向量」!26Please respect copyright.PENANAmOBpfQMNYi
第一課 偉大的「向量」26Please respect copyright.PENANANWVKnVKl1H
用代數解幾何問題!?26Please respect copyright.PENANA3FzgLwDBtg
「短短數行」就能證明餘弦定理26Please respect copyright.PENANACbQWOOMfay
26Please respect copyright.PENANA0fxvgcatec
第二課 了解「向量」的超嶄新概念26Please respect copyright.PENANAjfgI4cWHZp
向量是集結兩種資訊的「特殊容器」26Please respect copyright.PENANAkjI8LA6N3B
眾所熟知的「純量」26Please respect copyright.PENANAU20ho5jhOK
數據時代的主角「張量」26Please respect copyright.PENANADIE5fuZxLB
為什麼我們需要向量?26Please respect copyright.PENANAkMVUHDgnFY
26Please respect copyright.PENANAPrOJcbzIgK
第三課 「向量」是用箭頭當作記號唷26Please respect copyright.PENANAwmW22x3Z46
向量的書寫規則26Please respect copyright.PENANAB1j83ITIU1
張量的畫法26Please respect copyright.PENANA3Qg8mGLvpP
試著把向量畫成圖26Please respect copyright.PENANAgfl3pGFSOp
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第四課 「向量」的計算超簡單!26Please respect copyright.PENANAYw6FHUNP0k
來算算向量的加法吧26Please respect copyright.PENANAsumur4mKUV
也來算算向量的減法26Please respect copyright.PENANAN7z7SocRgN
試著分解向量吧26Please respect copyright.PENANAoTj2V657Pj
試著挑戰向量的乘法26Please respect copyright.PENANAaJVrFUsT9r
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第五課 靠「向量」秒殺餘弦定理!26Please respect copyright.PENANATZJgC7dsAs
用向量瞬間導出餘弦定理!26Please respect copyright.PENANAgJVHZbG4ha
不論幾次元都能處理的向量26Please respect copyright.PENANAM3abYbB5em
Column少年來了!(前篇)26Please respect copyright.PENANAXOi2Yw8qTG
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第6天 特別課程②:用「微積分」預測未來!26Please respect copyright.PENANAtJffTr4V18
第一課 人類的寶物!了解微分積分26Please respect copyright.PENANAfcv1FBVmKR
微分積分與函數的關係26Please respect copyright.PENANATpwyvK17Q3
今天的主題是「三角形面積」26Please respect copyright.PENANAUJEPHcdGuu
牛頓VS萊布尼茲的仁義之戰26Please respect copyright.PENANAt4XSGeTGtN
怎麼區分最合適?26Please respect copyright.PENANArDsELLOIZ5
用微積分計算三角形的面積!26Please respect copyright.PENANAfdBPJ1rCYi
來認識微分積分的符號26Please respect copyright.PENANALPcEfRDmC1
Column少年來了!(後篇)26Please respect copyright.PENANAhwx9hW0Vwu
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第二課 用Excel預測未來!26Please respect copyright.PENANAdLOLOMvhZt
現代人,用Excel就能預測未來26Please respect copyright.PENANAw4M07SngAu
掌握Excel的使用方法!26Please respect copyright.PENANAb8tki1h8wc
「數學家」、「AI」、「統計學家」的差別26Please respect copyright.PENANAxMn6iPFK4k
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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》
26Please respect copyright.PENANANMnBgbC5pZ
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。
26Please respect copyright.PENANAbFXLcR4Wrw
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/165070426Please respect copyright.PENANADrPXeyYKgV