【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221Please respect copyright.PENANAizch8quoRa
登場人物介紹221Please respect copyright.PENANAyvhddy2KhQ
221Please respect copyright.PENANAMRhSMmDl8M
第一天 數學的樂趣在哪裡?221Please respect copyright.PENANA85Uc1WHolu
第一課 其實並不可怕的高中數學221Please respect copyright.PENANAHI34fW9av1
好想學真正實用的數學!221Please respect copyright.PENANANCKSdH1Zqf
高中數學比國中數學還簡單!?221Please respect copyright.PENANAlAtHghZeBc
221Please respect copyright.PENANAnSKUAUvay7
第二課 超精簡的創新數學課!221Please respect copyright.PENANAR3D9twWpNy
果斷刪去八成教科書內容!221Please respect copyright.PENANAGTSDBFxi7K
世界首創!「西成流」數學分類法221Please respect copyright.PENANAvBuafX8tEq
高中數學中最輕鬆的是「代數」221Please respect copyright.PENANAAbYNuD1vyX
高中數學的顛峰是「微分積分」221Please respect copyright.PENANAveLPCTqQUp
超好用的工具「餘弦定理」221Please respect copyright.PENANAuO953ghx0v
真正的幾何大魔王是「向量」221Please respect copyright.PENANAFh1fOKSeTB
Column文組無法理解數學的理由221Please respect copyright.PENANAbyEPzPLpp9
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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!!221Please respect copyright.PENANACvcF5XgZx8
第一課 速速學會統計學基礎221Please respect copyright.PENANAN9iFmnK1bH
數據處理的3大必備條件221Please respect copyright.PENANAYTaWxkJGtu
為什麼增加個數很好用?221Please respect copyright.PENANAOs3FP0E4T4
「排列組合」是指什麼?221Please respect copyright.PENANA0QA3G604Vr
看離散程度的「標準差」221Please respect copyright.PENANAiEo8F11IWV
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第二課 記住「數列相加」的方法221Please respect copyright.PENANAYqIMR4kHyb
天才高斯少年發現的「倒序相加」221Please respect copyright.PENANA7h5v4DlB1Z
超好用!任何等差數列都能用221Please respect copyright.PENANABB3TnFVZ7V
嚴禁直接死背公式!221Please respect copyright.PENANAX7v3GXfar9
導出等差數列和的公式221Please respect copyright.PENANAF1x054W5IQ
豐臣秀吉被擺了一道!數學變黃金的故事221Please respect copyright.PENANAtYosSYithK
等比數列是「相乘後錯位相減」221Please respect copyright.PENANAo4UrEDxwLQ
導出等比數列和的公式221Please respect copyright.PENANAKqhbkntvvc
先知道處理數列和的符號!221Please respect copyright.PENANA6gt00zmoEF
Column把數學記號當作是念魔咒221Please respect copyright.PENANAITfc1tNSZs
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第三課 記住「排列組合法」221Please respect copyright.PENANAqUOsGs85uj
從賽馬了解「排列」與「組合」221Please respect copyright.PENANAfrvpz5IzJH
Step①了解階乘的計算方法221Please respect copyright.PENANAd4JFBs1FMI
Step②了解排列的計算方法221Please respect copyright.PENANAvphR7nYtdF
Step③了解組合的計算方法221Please respect copyright.PENANAAqpsVOBwwk
了解「排列」與「組合」的式子221Please respect copyright.PENANAa9Gyf4sEPB
「排列」和「組合」的符號是「P」和「C」221Please respect copyright.PENANAOb1u27OSNE
運用「排列」和「組合」排班表221Please respect copyright.PENANApjbEiEVw2L
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第四課 搞懂「離散值」和「標準差」221Please respect copyright.PENANAFy1d7IJZZy
資訊分析的基礎是找到「數據的規則」221Please respect copyright.PENANAeiGU2rZ2iF
兩個步驟找出離散程度221Please respect copyright.PENANAdbKMLukgoQ
平均、分散、標準差的深~度關係221Please respect copyright.PENANAe1myGacDCP
平均、離散、標準差的記號221Please respect copyright.PENANATGebmSfjWE
試著用Excel計算標準差221Please respect copyright.PENANA9FzQ5jTpk3
也把「偏差值」的計算公式記起來221Please respect copyright.PENANAkaq9R4nJth
附註內容①深奧的平均世界221Please respect copyright.PENANAjiniJC9wPX
附註內容②平均值、中位數、眾數221Please respect copyright.PENANAE9Z2cFLlVP
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第三天 超爽快!掌握高中文組數學的「分析」!221Please respect copyright.PENANAIhpWGc3Za8
第一課 豁然開朗!函數的世界221Please respect copyright.PENANAXtA3vlqpA5
函數與方程式的差別?221Please respect copyright.PENANAcYRl9VQKTo
高中數學的4種函數221Please respect copyright.PENANASEz2lsWBaa
Column少年西成的理科腦情書221Please respect copyright.PENANAPL7fjNwfok
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第二課 來複習二次函數!221Please respect copyright.PENANAgfsNbvy6HL
速速複習!二次方程式221Please respect copyright.PENANAz23KgszMx9
畫出二次函數的圖形!221Please respect copyright.PENANACiwgvKGW4I
Column 物理學家是名偵探221Please respect copyright.PENANA8nEXMJ798V
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第三課 指數函數超好用!221Please respect copyright.PENANALUWFg7VLsQ
記住指數函數的相關用語221Please respect copyright.PENANAaVJSpyNtPc
基本規則①乘冪相乘時,指數相加221Please respect copyright.PENANAR8WYXhtE9w
基本規則②乘冪再乘冪時,指數相乘221Please respect copyright.PENANA92GjnD52ui
基本規則③乘冪相除時,指數相減221Please respect copyright.PENANA7VtmWnFhXj
指數是負數時會怎樣?221Please respect copyright.PENANAwIWklAh97m
指數是「0」的時候會怎樣?221Please respect copyright.PENANA2gI0NOEaOM
根號可以轉換成指數運算221Please respect copyright.PENANAmqfuVnbbUO
統整指數運算的處理方式221Please respect copyright.PENANAh6LwQ9hKhY
將指數函數做成圖形看看!221Please respect copyright.PENANA7fm89dY8PT
順便來談談「對數函數」的內容221Please respect copyright.PENANA7D8EaqnOYg
天文數字也可以處理的對數函數221Please respect copyright.PENANAw8vsZ9pIUo
指數函數與音樂的深~度關係221Please respect copyright.PENANADbIQRlqS2C
用iPhone計算指數函數的方法221Please respect copyright.PENANA6UPOAWfGVI
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第四天 秒懂高中數學的「幾何」精髓!221Please respect copyright.PENANAxSE2mND9jr
第一課 不再霧煞煞的「三角比」221Please respect copyright.PENANAM3LrFh54k2
以餘弦定理搞懂三角形221Please respect copyright.PENANAgSsAdXnTgs
畫三角形的「西成流」作法221Please respect copyright.PENANAFDNuKhY1gD
sin、cos、tan是指「邊長比」221Please respect copyright.PENANAXkJMe0lfrS
忘掉tan的存在吧!221Please respect copyright.PENANAmyeA2e68c1
直角三角形的定義中必要的θ221Please respect copyright.PENANAjOav5ZU0MI
三角比經常出現的陷阱題221Please respect copyright.PENANAFrrblHMjrd
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第二課 俐落導出餘弦定理公式221Please respect copyright.PENANAqAd2LXfl2u
用三角比可以做的事221Please respect copyright.PENANA7GKKVvViJW
導出餘弦定理①事前準備221Please respect copyright.PENANArDDxGpXGxx
導出餘弦定理②成立公式、解開221Please respect copyright.PENANAEqTkC2AMfP
導出餘弦定理③證明sin2θ+ cos2θ= 1221Please respect copyright.PENANAIvSLS52BEJ
導出餘弦定理④完成221Please respect copyright.PENANAqPsozA7fWa
餘弦定理與畢氏定理的關係221Please respect copyright.PENANArWXM3wyEgw
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第三課 學習最後的分析工具「三角函數」!221Please respect copyright.PENANA9ebPtfcrax
三角函數只是將θ與y的關係圖像化221Please respect copyright.PENANAqjAPCle7YH
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第五天 特別課程①:幾何的最終武器「向量」!221Please respect copyright.PENANA1pLVUiKLPA
第一課 偉大的「向量」221Please respect copyright.PENANAjYx5W8brT8
用代數解幾何問題!?221Please respect copyright.PENANAIOQ4jpVYJI
「短短數行」就能證明餘弦定理221Please respect copyright.PENANAcIjgyfS2cj
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第二課 了解「向量」的超嶄新概念221Please respect copyright.PENANAW4hJQBhjAO
向量是集結兩種資訊的「特殊容器」221Please respect copyright.PENANAzNFRvETgXs
眾所熟知的「純量」221Please respect copyright.PENANApBvynygp5b
數據時代的主角「張量」221Please respect copyright.PENANAo9NmZIPUwA
為什麼我們需要向量?221Please respect copyright.PENANATMPju4cv18
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第三課 「向量」是用箭頭當作記號唷221Please respect copyright.PENANA7rk5tF3b8A
向量的書寫規則221Please respect copyright.PENANAYnaHe6rOit
張量的畫法221Please respect copyright.PENANAhTLji1IItM
試著把向量畫成圖221Please respect copyright.PENANAMsaUovdHNW
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第四課 「向量」的計算超簡單!221Please respect copyright.PENANADtNx5U3ha0
來算算向量的加法吧221Please respect copyright.PENANAxHakfPW1kr
也來算算向量的減法221Please respect copyright.PENANA50SW0zt9Wa
試著分解向量吧221Please respect copyright.PENANA2Evz3prOas
試著挑戰向量的乘法221Please respect copyright.PENANAhx7phoyB5a
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第五課 靠「向量」秒殺餘弦定理!221Please respect copyright.PENANAO1uG9B3bTV
用向量瞬間導出餘弦定理!221Please respect copyright.PENANA09LAwWv2Du
不論幾次元都能處理的向量221Please respect copyright.PENANAQ9l0y6rgvC
Column少年來了!(前篇)221Please respect copyright.PENANAFg6KxVk5fp
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第6天 特別課程②:用「微積分」預測未來!221Please respect copyright.PENANAcYSoCIdvbT
第一課 人類的寶物!了解微分積分221Please respect copyright.PENANAgyjh8vN495
微分積分與函數的關係221Please respect copyright.PENANA0aBz0cSZhy
今天的主題是「三角形面積」221Please respect copyright.PENANA9a9xY2jEWy
牛頓VS萊布尼茲的仁義之戰221Please respect copyright.PENANAl6G6yuY7gY
怎麼區分最合適?221Please respect copyright.PENANAiuLUiGvwPd
用微積分計算三角形的面積!221Please respect copyright.PENANA9tQ8xoV3Uc
來認識微分積分的符號221Please respect copyright.PENANAx2zivd2nJG
Column少年來了!(後篇)221Please respect copyright.PENANAQTcGen5WMf
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第二課 用Excel預測未來!221Please respect copyright.PENANA7ItYTc2cTt
現代人,用Excel就能預測未來221Please respect copyright.PENANANMgbpyorXC
掌握Excel的使用方法!221Please respect copyright.PENANAIWNqBMipiE
「數學家」、「AI」、「統計學家」的差別221Please respect copyright.PENANAXYKsPHukKG
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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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