【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148Please respect copyright.PENANAhTOtNp6064
登場人物介紹148Please respect copyright.PENANAM1FcaIAIvh
148Please respect copyright.PENANAwdqCwYlIKr
第一天 數學的樂趣在哪裡?148Please respect copyright.PENANAUg1qvJtmZK
第一課 其實並不可怕的高中數學148Please respect copyright.PENANA0TRxI3kn5U
好想學真正實用的數學!148Please respect copyright.PENANAYW39YV691O
高中數學比國中數學還簡單!?148Please respect copyright.PENANAWsALw77Kaz
148Please respect copyright.PENANAdfHZ2czvOA
第二課 超精簡的創新數學課!148Please respect copyright.PENANAiSBWo6AdWH
果斷刪去八成教科書內容!148Please respect copyright.PENANAuYTetdT6ES
世界首創!「西成流」數學分類法148Please respect copyright.PENANAj2bDg38p4n
高中數學中最輕鬆的是「代數」148Please respect copyright.PENANArx2tQAAMsZ
高中數學的顛峰是「微分積分」148Please respect copyright.PENANAZIjZpjv3mh
超好用的工具「餘弦定理」148Please respect copyright.PENANADGDKBKDvmp
真正的幾何大魔王是「向量」148Please respect copyright.PENANApJRDQzMcvW
Column文組無法理解數學的理由148Please respect copyright.PENANA3d704gklZe
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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!!148Please respect copyright.PENANAtGUHcK8E3f
第一課 速速學會統計學基礎148Please respect copyright.PENANAxyTENfocl4
數據處理的3大必備條件148Please respect copyright.PENANAuxO6iGni3E
為什麼增加個數很好用?148Please respect copyright.PENANAHF3heWe7ic
「排列組合」是指什麼?148Please respect copyright.PENANA3Pthc3XLYH
看離散程度的「標準差」148Please respect copyright.PENANAMy6wCt8O0a
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第二課 記住「數列相加」的方法148Please respect copyright.PENANAo6u8lXPYZc
天才高斯少年發現的「倒序相加」148Please respect copyright.PENANAKdPwPMZOA1
超好用!任何等差數列都能用148Please respect copyright.PENANAZysSW1Q10f
嚴禁直接死背公式!148Please respect copyright.PENANAysRQikKb4y
導出等差數列和的公式148Please respect copyright.PENANAHM5OPEwCEx
豐臣秀吉被擺了一道!數學變黃金的故事148Please respect copyright.PENANAZ0RRlao3X7
等比數列是「相乘後錯位相減」148Please respect copyright.PENANAQmrSP6MO2u
導出等比數列和的公式148Please respect copyright.PENANASDySIGxz6W
先知道處理數列和的符號!148Please respect copyright.PENANAT9b9htLdYs
Column把數學記號當作是念魔咒148Please respect copyright.PENANA4KGMgPw4PI
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第三課 記住「排列組合法」148Please respect copyright.PENANAl2hj7YPVEG
從賽馬了解「排列」與「組合」148Please respect copyright.PENANAz31uPlPKHp
Step①了解階乘的計算方法148Please respect copyright.PENANAPHbudaQNAQ
Step②了解排列的計算方法148Please respect copyright.PENANAlP4n5YS5US
Step③了解組合的計算方法148Please respect copyright.PENANARxnc05eqmo
了解「排列」與「組合」的式子148Please respect copyright.PENANAFEtqY5mK4c
「排列」和「組合」的符號是「P」和「C」148Please respect copyright.PENANAfvdWL9Iz14
運用「排列」和「組合」排班表148Please respect copyright.PENANA3d5PWG0RTj
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第四課 搞懂「離散值」和「標準差」148Please respect copyright.PENANAoYvvQwkHmd
資訊分析的基礎是找到「數據的規則」148Please respect copyright.PENANAJ3dWg7SNb8
兩個步驟找出離散程度148Please respect copyright.PENANAEhfk0a9KQj
平均、分散、標準差的深~度關係148Please respect copyright.PENANAR3rIop6h3j
平均、離散、標準差的記號148Please respect copyright.PENANAUJyFmXd7QD
試著用Excel計算標準差148Please respect copyright.PENANAcrF2INJbKC
也把「偏差值」的計算公式記起來148Please respect copyright.PENANAeXEAm7qeEa
附註內容①深奧的平均世界148Please respect copyright.PENANAmSIdDU5vEh
附註內容②平均值、中位數、眾數148Please respect copyright.PENANAEJXIecHZrV
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第三天 超爽快!掌握高中文組數學的「分析」!148Please respect copyright.PENANAVeRG6hHzvV
第一課 豁然開朗!函數的世界148Please respect copyright.PENANA1x5e6msobu
函數與方程式的差別?148Please respect copyright.PENANAurTB5NQRgV
高中數學的4種函數148Please respect copyright.PENANAJS5sfYCFI0
Column少年西成的理科腦情書148Please respect copyright.PENANASj54umEiyF
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第二課 來複習二次函數!148Please respect copyright.PENANAHeRtCbamYS
速速複習!二次方程式148Please respect copyright.PENANAJxFp5drtOK
畫出二次函數的圖形!148Please respect copyright.PENANAgq3MiCaVYy
Column 物理學家是名偵探148Please respect copyright.PENANAvKMLOpXpf4
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第三課 指數函數超好用!148Please respect copyright.PENANAZsTM7Nilpg
記住指數函數的相關用語148Please respect copyright.PENANAi45HnKFRIS
基本規則①乘冪相乘時,指數相加148Please respect copyright.PENANAmFC0robdYO
基本規則②乘冪再乘冪時,指數相乘148Please respect copyright.PENANA20a6N9lNIE
基本規則③乘冪相除時,指數相減148Please respect copyright.PENANAN5ezN8a6ZC
指數是負數時會怎樣?148Please respect copyright.PENANAA76LltRYuY
指數是「0」的時候會怎樣?148Please respect copyright.PENANAJeJo14pJhc
根號可以轉換成指數運算148Please respect copyright.PENANAiMZ2cJgwKN
統整指數運算的處理方式148Please respect copyright.PENANA2AdpcJIQ9t
將指數函數做成圖形看看!148Please respect copyright.PENANAF78MPKS6cv
順便來談談「對數函數」的內容148Please respect copyright.PENANA9WMUEz5ZkQ
天文數字也可以處理的對數函數148Please respect copyright.PENANA15kxMQGIF7
指數函數與音樂的深~度關係148Please respect copyright.PENANAULl2JuRglN
用iPhone計算指數函數的方法148Please respect copyright.PENANAxpIb4o2d8L
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第四天 秒懂高中數學的「幾何」精髓!148Please respect copyright.PENANAr5tYBzolKm
第一課 不再霧煞煞的「三角比」148Please respect copyright.PENANAjOXJh7DnO3
以餘弦定理搞懂三角形148Please respect copyright.PENANA81xomMHvkp
畫三角形的「西成流」作法148Please respect copyright.PENANARoQF7D9Hhu
sin、cos、tan是指「邊長比」148Please respect copyright.PENANASXSQ6acd6g
忘掉tan的存在吧!148Please respect copyright.PENANAMj510TXH1L
直角三角形的定義中必要的θ148Please respect copyright.PENANAEvax6JMY2q
三角比經常出現的陷阱題148Please respect copyright.PENANAV9p1B34wZP
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第二課 俐落導出餘弦定理公式148Please respect copyright.PENANAgl1EXranrZ
用三角比可以做的事148Please respect copyright.PENANAXBerl83vPL
導出餘弦定理①事前準備148Please respect copyright.PENANAi5d5k3EXPb
導出餘弦定理②成立公式、解開148Please respect copyright.PENANAeUnE9yDvyS
導出餘弦定理③證明sin2θ+ cos2θ= 1148Please respect copyright.PENANAF3XXaWERc5
導出餘弦定理④完成148Please respect copyright.PENANAmzzT894Fs0
餘弦定理與畢氏定理的關係148Please respect copyright.PENANAF6eKTVqHPQ
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第三課 學習最後的分析工具「三角函數」!148Please respect copyright.PENANAOOZWARHBG0
三角函數只是將θ與y的關係圖像化148Please respect copyright.PENANAwrcrfsrtib
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第五天 特別課程①:幾何的最終武器「向量」!148Please respect copyright.PENANADXancE1Tbq
第一課 偉大的「向量」148Please respect copyright.PENANA1XTdcvfD4Q
用代數解幾何問題!?148Please respect copyright.PENANAYxYAwoD57K
「短短數行」就能證明餘弦定理148Please respect copyright.PENANAWH0EBVsJYX
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第二課 了解「向量」的超嶄新概念148Please respect copyright.PENANAfTwj7YE03a
向量是集結兩種資訊的「特殊容器」148Please respect copyright.PENANAAEZZsMm6Ne
眾所熟知的「純量」148Please respect copyright.PENANAnWY59IK8XF
數據時代的主角「張量」148Please respect copyright.PENANAqo94lqHKW0
為什麼我們需要向量?148Please respect copyright.PENANAlCQmONEkUH
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第三課 「向量」是用箭頭當作記號唷148Please respect copyright.PENANAQhZYfXLZTd
向量的書寫規則148Please respect copyright.PENANAiN895pMOYB
張量的畫法148Please respect copyright.PENANAWcVM0XxE9O
試著把向量畫成圖148Please respect copyright.PENANAwAh0PjX9gz
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第四課 「向量」的計算超簡單!148Please respect copyright.PENANAzDgmXbcMgc
來算算向量的加法吧148Please respect copyright.PENANA17wVPpLTEN
也來算算向量的減法148Please respect copyright.PENANATtYAqocN2Q
試著分解向量吧148Please respect copyright.PENANAxUcfGYRgp1
試著挑戰向量的乘法148Please respect copyright.PENANAZ6dzp7RWdS
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第五課 靠「向量」秒殺餘弦定理!148Please respect copyright.PENANAwSRzSOgHgi
用向量瞬間導出餘弦定理!148Please respect copyright.PENANAeg5z2pr9kN
不論幾次元都能處理的向量148Please respect copyright.PENANAYXg8RCrEHo
Column少年來了!(前篇)148Please respect copyright.PENANAEdbRzke0fY
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第6天 特別課程②:用「微積分」預測未來!148Please respect copyright.PENANAlWNngTja2x
第一課 人類的寶物!了解微分積分148Please respect copyright.PENANApWntSfyFT8
微分積分與函數的關係148Please respect copyright.PENANAy2ZVEshric
今天的主題是「三角形面積」148Please respect copyright.PENANAasMljp7xqN
牛頓VS萊布尼茲的仁義之戰148Please respect copyright.PENANAps4Blz0eyd
怎麼區分最合適?148Please respect copyright.PENANA3TIveBaBub
用微積分計算三角形的面積!148Please respect copyright.PENANAtm4vwI11Bt
來認識微分積分的符號148Please respect copyright.PENANAF76dEQo9tX
Column少年來了!(後篇)148Please respect copyright.PENANAOEeUArY6A0
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第二課 用Excel預測未來!148Please respect copyright.PENANAaiAKX7WgD0
現代人,用Excel就能預測未來148Please respect copyright.PENANApRrY6U3bJg
掌握Excel的使用方法!148Please respect copyright.PENANAwlww1Gvmda
「數學家」、「AI」、「統計學家」的差別148Please respect copyright.PENANA6aN4jc4pmc
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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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